1.147 * [progress]: [Phase 1 of 3] Setting up.
0.002 * * * [progress]: [1/2] Preparing points
0.377 * * * [progress]: [2/2] Setting up program.
0.382 * [progress]: [Phase 2 of 3] Improving.
0.383 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)))>
0.385 * [simplify]: Simplifying:
  (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th))
0.386 * * [simplify]: iteration 0: 13 enodes
0.422 * * [simplify]: iteration 1: 25 enodes
0.436 * * [simplify]: iteration 2: 61 enodes
0.455 * * [simplify]: iteration 3: 95 enodes
0.485 * * [simplify]: iteration 4: 177 enodes
0.521 * * [simplify]: iteration 5: 367 enodes
0.647 * * [simplify]: iteration 6: 911 enodes
1.491 * * [simplify]: iteration 7: 3205 enodes
2.511 * * [simplify]: iteration complete: 5000 enodes
2.512 * * [simplify]: Extracting #0: cost 1 inf + 0
2.513 * * [simplify]: Extracting #1: cost 107 inf + 0
2.516 * * [simplify]: Extracting #2: cost 337 inf + 0
2.520 * * [simplify]: Extracting #3: cost 397 inf + 7617
2.529 * * [simplify]: Extracting #4: cost 608 inf + 24761
2.561 * * [simplify]: Extracting #5: cost 862 inf + 187592
2.644 * * [simplify]: Extracting #6: cost 465 inf + 591951
2.739 * * [simplify]: Extracting #7: cost 46 inf + 969916
2.886 * * [simplify]: Extracting #8: cost 0 inf + 1006671
2.977 * [simplify]: Simplified to:
  (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx))))
2.988 * * [progress]: iteration 1 / 4
2.988 * * * [progress]: picking best candidate
3.009 * * * * [pick]: Picked  #<alt (λ (kx ky th) (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx)))))>
3.010 * * * [progress]: localizing error
3.040 * * * [progress]: generating rewritten candidates
3.041 * * * * [progress]: [ 1 / 3 ] rewriting at (2)
3.056 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2)
3.064 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 2)
3.067 * * * [progress]: generating series expansions
3.067 * * * * [progress]: [ 1 / 3 ] generating series at (2)
3.071 * [backup-simplify]: Simplify (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx)))) into (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx)))
3.071 * [approximate]: Taking taylor expansion of (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))) in (th ky kx) around 0
3.071 * [taylor]: Taking taylor expansion of (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))) in kx
3.072 * [taylor]: Taking taylor expansion of (* (sin th) (sin ky)) in kx
3.072 * [taylor]: Taking taylor expansion of (sin th) in kx
3.072 * [taylor]: Taking taylor expansion of th in kx
3.072 * [backup-simplify]: Simplify th into th
3.072 * [backup-simplify]: Simplify (sin th) into (sin th)
3.072 * [backup-simplify]: Simplify (cos th) into (cos th)
3.072 * [taylor]: Taking taylor expansion of (sin ky) in kx
3.072 * [taylor]: Taking taylor expansion of ky in kx
3.072 * [backup-simplify]: Simplify ky into ky
3.072 * [backup-simplify]: Simplify (sin ky) into (sin ky)
3.072 * [backup-simplify]: Simplify (cos ky) into (cos ky)
3.072 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in kx
3.073 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
3.073 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in kx
3.073 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in kx
3.073 * [taylor]: Taking taylor expansion of (sin ky) in kx
3.073 * [taylor]: Taking taylor expansion of ky in kx
3.073 * [backup-simplify]: Simplify ky into ky
3.073 * [backup-simplify]: Simplify (sin ky) into (sin ky)
3.073 * [backup-simplify]: Simplify (cos ky) into (cos ky)
3.073 * [taylor]: Taking taylor expansion of (sin ky) in kx
3.073 * [taylor]: Taking taylor expansion of ky in kx
3.073 * [backup-simplify]: Simplify ky into ky
3.073 * [backup-simplify]: Simplify (sin ky) into (sin ky)
3.073 * [backup-simplify]: Simplify (cos ky) into (cos ky)
3.073 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in kx
3.073 * [taylor]: Taking taylor expansion of (sin kx) in kx
3.073 * [taylor]: Taking taylor expansion of kx in kx
3.073 * [backup-simplify]: Simplify 0 into 0
3.073 * [backup-simplify]: Simplify 1 into 1
3.073 * [taylor]: Taking taylor expansion of (sin kx) in kx
3.074 * [taylor]: Taking taylor expansion of kx in kx
3.074 * [backup-simplify]: Simplify 0 into 0
3.074 * [backup-simplify]: Simplify 1 into 1
3.074 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
3.074 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
3.075 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
3.075 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
3.075 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
3.075 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
3.075 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
3.075 * [backup-simplify]: Simplify (* 0 0) into 0
3.076 * [backup-simplify]: Simplify (+ (pow (sin ky) 2) 0) into (pow (sin ky) 2)
3.076 * [backup-simplify]: Simplify (sqrt (pow (sin ky) 2)) into (sin ky)
3.077 * [backup-simplify]: Simplify (+ 0) into 0
3.078 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
3.079 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.079 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
3.079 * [backup-simplify]: Simplify (+ 0 0) into 0
3.080 * [backup-simplify]: Simplify (+ 0) into 0
3.080 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
3.081 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.082 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
3.082 * [backup-simplify]: Simplify (+ 0 0) into 0
3.082 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
3.083 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.083 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.084 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.084 * [backup-simplify]: Simplify (+ 0 0) into 0
3.084 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin ky) 2)))) into 0
3.084 * [backup-simplify]: Simplify (* (sin th) 1) into (sin th)
3.084 * [backup-simplify]: Simplify (* (cos th) 0) into 0
3.084 * [backup-simplify]: Simplify (+ (sin th) 0) into (sin th)
3.084 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
3.085 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
3.085 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
3.085 * [backup-simplify]: Simplify (* (sin th) (sin ky)) into (* (sin th) (sin ky))
3.085 * [backup-simplify]: Simplify (/ (* (sin th) (sin ky)) (sin ky)) into (sin th)
3.085 * [taylor]: Taking taylor expansion of (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))) in ky
3.085 * [taylor]: Taking taylor expansion of (* (sin th) (sin ky)) in ky
3.085 * [taylor]: Taking taylor expansion of (sin th) in ky
3.085 * [taylor]: Taking taylor expansion of th in ky
3.085 * [backup-simplify]: Simplify th into th
3.085 * [backup-simplify]: Simplify (sin th) into (sin th)
3.085 * [backup-simplify]: Simplify (cos th) into (cos th)
3.085 * [taylor]: Taking taylor expansion of (sin ky) in ky
3.085 * [taylor]: Taking taylor expansion of ky in ky
3.085 * [backup-simplify]: Simplify 0 into 0
3.085 * [backup-simplify]: Simplify 1 into 1
3.085 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky
3.085 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
3.085 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky
3.085 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
3.085 * [taylor]: Taking taylor expansion of (sin ky) in ky
3.085 * [taylor]: Taking taylor expansion of ky in ky
3.085 * [backup-simplify]: Simplify 0 into 0
3.085 * [backup-simplify]: Simplify 1 into 1
3.085 * [taylor]: Taking taylor expansion of (sin ky) in ky
3.085 * [taylor]: Taking taylor expansion of ky in ky
3.085 * [backup-simplify]: Simplify 0 into 0
3.085 * [backup-simplify]: Simplify 1 into 1
3.085 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
3.085 * [taylor]: Taking taylor expansion of (sin kx) in ky
3.085 * [taylor]: Taking taylor expansion of kx in ky
3.085 * [backup-simplify]: Simplify kx into kx
3.085 * [backup-simplify]: Simplify (sin kx) into (sin kx)
3.085 * [backup-simplify]: Simplify (cos kx) into (cos kx)
3.085 * [taylor]: Taking taylor expansion of (sin kx) in ky
3.085 * [taylor]: Taking taylor expansion of kx in ky
3.085 * [backup-simplify]: Simplify kx into kx
3.085 * [backup-simplify]: Simplify (sin kx) into (sin kx)
3.085 * [backup-simplify]: Simplify (cos kx) into (cos kx)
3.086 * [backup-simplify]: Simplify (* 0 0) into 0
3.086 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
3.086 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
3.086 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
3.086 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
3.086 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
3.086 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
3.086 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
3.086 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
3.086 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
3.087 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.087 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.087 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.088 * [backup-simplify]: Simplify (+ 0) into 0
3.088 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
3.088 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.089 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
3.089 * [backup-simplify]: Simplify (+ 0 0) into 0
3.089 * [backup-simplify]: Simplify (+ 0) into 0
3.089 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
3.090 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.090 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
3.090 * [backup-simplify]: Simplify (+ 0 0) into 0
3.090 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
3.091 * [backup-simplify]: Simplify (+ 0 0) into 0
3.091 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
3.091 * [backup-simplify]: Simplify (* (sin th) 1) into (sin th)
3.091 * [backup-simplify]: Simplify (* (cos th) 0) into 0
3.091 * [backup-simplify]: Simplify (+ (sin th) 0) into (sin th)
3.091 * [backup-simplify]: Simplify (* (sin th) 0) into 0
3.091 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.092 * [backup-simplify]: Simplify (+ 0) into 0
3.092 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 1)) into 0
3.092 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.093 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 0)) into 0
3.093 * [backup-simplify]: Simplify (+ 0 0) into 0
3.093 * [backup-simplify]: Simplify (+ (* (sin th) 1) (* 0 0)) into (sin th)
3.093 * [backup-simplify]: Simplify (/ (sin th) (sin kx)) into (/ (sin th) (sin kx))
3.093 * [taylor]: Taking taylor expansion of (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))) in th
3.093 * [taylor]: Taking taylor expansion of (* (sin th) (sin ky)) in th
3.093 * [taylor]: Taking taylor expansion of (sin th) in th
3.093 * [taylor]: Taking taylor expansion of th in th
3.093 * [backup-simplify]: Simplify 0 into 0
3.093 * [backup-simplify]: Simplify 1 into 1
3.093 * [taylor]: Taking taylor expansion of (sin ky) in th
3.093 * [taylor]: Taking taylor expansion of ky in th
3.093 * [backup-simplify]: Simplify ky into ky
3.093 * [backup-simplify]: Simplify (sin ky) into (sin ky)
3.093 * [backup-simplify]: Simplify (cos ky) into (cos ky)
3.093 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in th
3.094 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
3.094 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in th
3.094 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in th
3.094 * [taylor]: Taking taylor expansion of (sin ky) in th
3.094 * [taylor]: Taking taylor expansion of ky in th
3.094 * [backup-simplify]: Simplify ky into ky
3.094 * [backup-simplify]: Simplify (sin ky) into (sin ky)
3.094 * [backup-simplify]: Simplify (cos ky) into (cos ky)
3.094 * [taylor]: Taking taylor expansion of (sin ky) in th
3.094 * [taylor]: Taking taylor expansion of ky in th
3.094 * [backup-simplify]: Simplify ky into ky
3.094 * [backup-simplify]: Simplify (sin ky) into (sin ky)
3.094 * [backup-simplify]: Simplify (cos ky) into (cos ky)
3.094 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in th
3.094 * [taylor]: Taking taylor expansion of (sin kx) in th
3.094 * [taylor]: Taking taylor expansion of kx in th
3.094 * [backup-simplify]: Simplify kx into kx
3.094 * [backup-simplify]: Simplify (sin kx) into (sin kx)
3.094 * [backup-simplify]: Simplify (cos kx) into (cos kx)
3.094 * [taylor]: Taking taylor expansion of (sin kx) in th
3.094 * [taylor]: Taking taylor expansion of kx in th
3.094 * [backup-simplify]: Simplify kx into kx
3.094 * [backup-simplify]: Simplify (sin kx) into (sin kx)
3.094 * [backup-simplify]: Simplify (cos kx) into (cos kx)
3.094 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
3.094 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
3.094 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
3.094 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
3.094 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
3.094 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
3.094 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
3.094 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
3.094 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
3.094 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
3.094 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
3.095 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
3.095 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
3.095 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
3.095 * [backup-simplify]: Simplify (+ (pow (sin ky) 2) (pow (sin kx) 2)) into (+ (pow (sin ky) 2) (pow (sin kx) 2))
3.095 * [backup-simplify]: Simplify (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) into (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))
3.095 * [backup-simplify]: Simplify (+ 0) into 0
3.096 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
3.096 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.096 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
3.097 * [backup-simplify]: Simplify (+ 0 0) into 0
3.097 * [backup-simplify]: Simplify (+ 0) into 0
3.097 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
3.098 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.098 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
3.098 * [backup-simplify]: Simplify (+ 0 0) into 0
3.098 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
3.099 * [backup-simplify]: Simplify (+ 0) into 0
3.099 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
3.107 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.107 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
3.108 * [backup-simplify]: Simplify (+ 0 0) into 0
3.108 * [backup-simplify]: Simplify (+ 0) into 0
3.108 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
3.109 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.109 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
3.109 * [backup-simplify]: Simplify (+ 0 0) into 0
3.109 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
3.109 * [backup-simplify]: Simplify (+ 0 0) into 0
3.110 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))) into 0
3.110 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
3.110 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
3.110 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
3.110 * [backup-simplify]: Simplify (* 0 (sin ky)) into 0
3.110 * [backup-simplify]: Simplify (+ 0) into 0
3.110 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
3.111 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.111 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
3.111 * [backup-simplify]: Simplify (+ 0 0) into 0
3.112 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.112 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin ky))) into (sin ky)
3.113 * [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))
3.113 * [taylor]: Taking taylor expansion of (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))) in th
3.113 * [taylor]: Taking taylor expansion of (* (sin th) (sin ky)) in th
3.113 * [taylor]: Taking taylor expansion of (sin th) in th
3.113 * [taylor]: Taking taylor expansion of th in th
3.113 * [backup-simplify]: Simplify 0 into 0
3.113 * [backup-simplify]: Simplify 1 into 1
3.113 * [taylor]: Taking taylor expansion of (sin ky) in th
3.113 * [taylor]: Taking taylor expansion of ky in th
3.113 * [backup-simplify]: Simplify ky into ky
3.113 * [backup-simplify]: Simplify (sin ky) into (sin ky)
3.113 * [backup-simplify]: Simplify (cos ky) into (cos ky)
3.113 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in th
3.113 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
3.113 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in th
3.113 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in th
3.113 * [taylor]: Taking taylor expansion of (sin ky) in th
3.113 * [taylor]: Taking taylor expansion of ky in th
3.113 * [backup-simplify]: Simplify ky into ky
3.113 * [backup-simplify]: Simplify (sin ky) into (sin ky)
3.113 * [backup-simplify]: Simplify (cos ky) into (cos ky)
3.113 * [taylor]: Taking taylor expansion of (sin ky) in th
3.113 * [taylor]: Taking taylor expansion of ky in th
3.113 * [backup-simplify]: Simplify ky into ky
3.113 * [backup-simplify]: Simplify (sin ky) into (sin ky)
3.113 * [backup-simplify]: Simplify (cos ky) into (cos ky)
3.113 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in th
3.113 * [taylor]: Taking taylor expansion of (sin kx) in th
3.113 * [taylor]: Taking taylor expansion of kx in th
3.113 * [backup-simplify]: Simplify kx into kx
3.113 * [backup-simplify]: Simplify (sin kx) into (sin kx)
3.113 * [backup-simplify]: Simplify (cos kx) into (cos kx)
3.113 * [taylor]: Taking taylor expansion of (sin kx) in th
3.113 * [taylor]: Taking taylor expansion of kx in th
3.113 * [backup-simplify]: Simplify kx into kx
3.113 * [backup-simplify]: Simplify (sin kx) into (sin kx)
3.113 * [backup-simplify]: Simplify (cos kx) into (cos kx)
3.113 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
3.113 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
3.113 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
3.113 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
3.114 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
3.114 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
3.114 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
3.114 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
3.114 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
3.114 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
3.114 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
3.114 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
3.114 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
3.114 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
3.114 * [backup-simplify]: Simplify (+ (pow (sin ky) 2) (pow (sin kx) 2)) into (+ (pow (sin ky) 2) (pow (sin kx) 2))
3.114 * [backup-simplify]: Simplify (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) into (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))
3.114 * [backup-simplify]: Simplify (+ 0) into 0
3.115 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
3.115 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.116 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
3.116 * [backup-simplify]: Simplify (+ 0 0) into 0
3.116 * [backup-simplify]: Simplify (+ 0) into 0
3.117 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
3.117 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.118 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
3.118 * [backup-simplify]: Simplify (+ 0 0) into 0
3.118 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
3.119 * [backup-simplify]: Simplify (+ 0) into 0
3.119 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
3.120 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.120 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
3.121 * [backup-simplify]: Simplify (+ 0 0) into 0
3.121 * [backup-simplify]: Simplify (+ 0) into 0
3.122 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
3.123 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.123 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
3.123 * [backup-simplify]: Simplify (+ 0 0) into 0
3.123 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
3.124 * [backup-simplify]: Simplify (+ 0 0) into 0
3.124 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))) into 0
3.124 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
3.124 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
3.124 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
3.124 * [backup-simplify]: Simplify (* 0 (sin ky)) into 0
3.125 * [backup-simplify]: Simplify (+ 0) into 0
3.125 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
3.126 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.126 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
3.127 * [backup-simplify]: Simplify (+ 0 0) into 0
3.128 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.128 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin ky))) into (sin ky)
3.129 * [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))
3.129 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)) in ky
3.129 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) in ky
3.130 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2))) in ky
3.130 * [taylor]: Taking taylor expansion of (+ (pow (sin ky) 2) (pow (sin kx) 2)) in ky
3.130 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in ky
3.130 * [taylor]: Taking taylor expansion of (sin ky) in ky
3.130 * [taylor]: Taking taylor expansion of ky in ky
3.130 * [backup-simplify]: Simplify 0 into 0
3.130 * [backup-simplify]: Simplify 1 into 1
3.130 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.131 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in ky
3.131 * [taylor]: Taking taylor expansion of (sin kx) in ky
3.131 * [taylor]: Taking taylor expansion of kx in ky
3.131 * [backup-simplify]: Simplify kx into kx
3.131 * [backup-simplify]: Simplify (sin kx) into (sin kx)
3.131 * [backup-simplify]: Simplify (cos kx) into (cos kx)
3.131 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
3.131 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
3.131 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
3.132 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
3.132 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
3.132 * [backup-simplify]: Simplify (/ 1 (pow (sin kx) 2)) into (/ 1 (pow (sin kx) 2))
3.132 * [backup-simplify]: Simplify (sqrt (/ 1 (pow (sin kx) 2))) into (/ 1 (sin kx))
3.133 * [backup-simplify]: Simplify (+ 0) into 0
3.133 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
3.134 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.134 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
3.135 * [backup-simplify]: Simplify (+ 0 0) into 0
3.135 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
3.135 * [backup-simplify]: Simplify (+ 0 0) into 0
3.136 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sin kx) 2)) (/ 0 (pow (sin kx) 2))))) into 0
3.136 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow (sin kx) 2))))) into 0
3.136 * [taylor]: Taking taylor expansion of (sin ky) in ky
3.136 * [taylor]: Taking taylor expansion of ky in ky
3.136 * [backup-simplify]: Simplify 0 into 0
3.136 * [backup-simplify]: Simplify 1 into 1
3.137 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.137 * [backup-simplify]: Simplify (+ (* (/ 1 (sin kx)) 1) (* 0 0)) into (/ 1 (sin kx))
3.137 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx
3.137 * [taylor]: Taking taylor expansion of (sin kx) in kx
3.137 * [taylor]: Taking taylor expansion of kx in kx
3.137 * [backup-simplify]: Simplify 0 into 0
3.137 * [backup-simplify]: Simplify 1 into 1
3.138 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.138 * [backup-simplify]: Simplify (/ 1 1) into 1
3.139 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.140 * [backup-simplify]: Simplify 0 into 0
3.141 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.142 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 1))) into 0
3.143 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.144 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (* 0 0))) into 0
3.144 * [backup-simplify]: Simplify (+ 0 0) into 0
3.145 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.146 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin ky)))) into 0
3.146 * [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
3.146 * [taylor]: Taking taylor expansion of 0 in ky
3.146 * [backup-simplify]: Simplify 0 into 0
3.147 * [taylor]: Taking taylor expansion of 0 in kx
3.147 * [backup-simplify]: Simplify 0 into 0
3.147 * [backup-simplify]: Simplify 0 into 0
3.147 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.148 * [backup-simplify]: Simplify (* 1 1) into 1
3.149 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.150 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
3.151 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.151 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
3.152 * [backup-simplify]: Simplify (+ 0 0) into 0
3.152 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 (sin kx)))) into 0
3.153 * [backup-simplify]: Simplify (+ 1 0) into 1
3.153 * [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)))
3.154 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow (sin kx) 4))) (pow 0 2) (+)) (* 2 (/ 1 (sin kx)))) into (/ -1/2 (pow (sin kx) 3))
3.155 * [backup-simplify]: Simplify (+ (* (/ 1 (sin kx)) 0) (+ (* 0 1) (* (/ -1/2 (pow (sin kx) 3)) 0))) into 0
3.155 * [taylor]: Taking taylor expansion of 0 in kx
3.155 * [backup-simplify]: Simplify 0 into 0
3.155 * [backup-simplify]: Simplify 0 into 0
3.157 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
3.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/6
3.158 * [backup-simplify]: Simplify 1/6 into 1/6
3.159 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
3.160 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.162 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
3.163 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
3.163 * [backup-simplify]: Simplify (+ 0 0) into 0
3.165 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
3.166 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin ky))))) into (- (* 1/6 (sin ky)))
3.167 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.168 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 1))) into 0
3.168 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.169 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (* 0 0))) into 0
3.169 * [backup-simplify]: Simplify (+ 0 0) into 0
3.170 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.171 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 1))) into 0
3.172 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.172 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (* 0 0))) into 0
3.173 * [backup-simplify]: Simplify (+ 0 0) into 0
3.173 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 (sin ky)))) into 0
3.174 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.175 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
3.176 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.176 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
3.176 * [backup-simplify]: Simplify (+ 0 0) into 0
3.177 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.178 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
3.179 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.179 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
3.180 * [backup-simplify]: Simplify (+ 0 0) into 0
3.180 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 (sin kx)))) into 0
3.181 * [backup-simplify]: Simplify (+ 0 0) into 0
3.182 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))) into 0
3.183 * [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))))
3.183 * [taylor]: Taking taylor expansion of (- (* 1/6 (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)))) in ky
3.183 * [taylor]: Taking taylor expansion of (* 1/6 (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))) in ky
3.183 * [taylor]: Taking taylor expansion of 1/6 in ky
3.183 * [backup-simplify]: Simplify 1/6 into 1/6
3.183 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)) in ky
3.183 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) in ky
3.183 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2))) in ky
3.183 * [taylor]: Taking taylor expansion of (+ (pow (sin ky) 2) (pow (sin kx) 2)) in ky
3.183 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in ky
3.183 * [taylor]: Taking taylor expansion of (sin ky) in ky
3.183 * [taylor]: Taking taylor expansion of ky in ky
3.183 * [backup-simplify]: Simplify 0 into 0
3.183 * [backup-simplify]: Simplify 1 into 1
3.184 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.184 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in ky
3.184 * [taylor]: Taking taylor expansion of (sin kx) in ky
3.184 * [taylor]: Taking taylor expansion of kx in ky
3.184 * [backup-simplify]: Simplify kx into kx
3.184 * [backup-simplify]: Simplify (sin kx) into (sin kx)
3.184 * [backup-simplify]: Simplify (cos kx) into (cos kx)
3.185 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
3.185 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
3.185 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
3.185 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
3.185 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
3.185 * [backup-simplify]: Simplify (/ 1 (pow (sin kx) 2)) into (/ 1 (pow (sin kx) 2))
3.185 * [backup-simplify]: Simplify (sqrt (/ 1 (pow (sin kx) 2))) into (/ 1 (sin kx))
3.186 * [backup-simplify]: Simplify (+ 0) into 0
3.186 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
3.187 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.187 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
3.188 * [backup-simplify]: Simplify (+ 0 0) into 0
3.188 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
3.188 * [backup-simplify]: Simplify (+ 0 0) into 0
3.188 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sin kx) 2)) (/ 0 (pow (sin kx) 2))))) into 0
3.189 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow (sin kx) 2))))) into 0
3.189 * [taylor]: Taking taylor expansion of (sin ky) in ky
3.189 * [taylor]: Taking taylor expansion of ky in ky
3.189 * [backup-simplify]: Simplify 0 into 0
3.189 * [backup-simplify]: Simplify 1 into 1
3.189 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.190 * [backup-simplify]: Simplify (+ (* (/ 1 (sin kx)) 1) (* 0 0)) into (/ 1 (sin kx))
3.190 * [backup-simplify]: Simplify (* (/ 1 (sin kx)) 0) into 0
3.190 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1 (sin kx))) (* 0 0)) into (* 1/6 (/ 1 (sin kx)))
3.190 * [backup-simplify]: Simplify (- (* 1/6 (/ 1 (sin kx)))) into (- (* 1/6 (/ 1 (sin kx))))
3.191 * [taylor]: Taking taylor expansion of (- (* 1/6 (/ 1 (sin kx)))) in kx
3.191 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (sin kx))) in kx
3.191 * [taylor]: Taking taylor expansion of 1/6 in kx
3.191 * [backup-simplify]: Simplify 1/6 into 1/6
3.191 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx
3.191 * [taylor]: Taking taylor expansion of (sin kx) in kx
3.191 * [taylor]: Taking taylor expansion of kx in kx
3.191 * [backup-simplify]: Simplify 0 into 0
3.191 * [backup-simplify]: Simplify 1 into 1
3.191 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.192 * [backup-simplify]: Simplify (/ 1 1) into 1
3.193 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.194 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 1)) into 0
3.194 * [backup-simplify]: Simplify (- 0) into 0
3.194 * [backup-simplify]: Simplify 0 into 0
3.194 * [taylor]: Taking taylor expansion of 0 in kx
3.195 * [backup-simplify]: Simplify 0 into 0
3.195 * [backup-simplify]: Simplify 0 into 0
3.196 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
3.197 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.198 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.199 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
3.200 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.201 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
3.202 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
3.202 * [backup-simplify]: Simplify (+ 0 0) into 0
3.203 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin kx))))) into 0
3.203 * [backup-simplify]: Simplify (+ 0 0) into 0
3.204 * [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
3.204 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow (sin kx) 3)))))) (* 2 (/ 1 (sin kx)))) into 0
3.205 * [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)))))
3.205 * [taylor]: Taking taylor expansion of (- (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))) in kx
3.205 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))) in kx
3.205 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (sin kx))) in kx
3.205 * [taylor]: Taking taylor expansion of 1/6 in kx
3.205 * [backup-simplify]: Simplify 1/6 into 1/6
3.205 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx
3.205 * [taylor]: Taking taylor expansion of (sin kx) in kx
3.205 * [taylor]: Taking taylor expansion of kx in kx
3.205 * [backup-simplify]: Simplify 0 into 0
3.205 * [backup-simplify]: Simplify 1 into 1
3.206 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.206 * [backup-simplify]: Simplify (/ 1 1) into 1
3.206 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow (sin kx) 3))) in kx
3.207 * [taylor]: Taking taylor expansion of 1/2 in kx
3.207 * [backup-simplify]: Simplify 1/2 into 1/2
3.207 * [taylor]: Taking taylor expansion of (/ 1 (pow (sin kx) 3)) in kx
3.207 * [taylor]: Taking taylor expansion of (pow (sin kx) 3) in kx
3.207 * [taylor]: Taking taylor expansion of (sin kx) in kx
3.207 * [taylor]: Taking taylor expansion of kx in kx
3.207 * [backup-simplify]: Simplify 0 into 0
3.207 * [backup-simplify]: Simplify 1 into 1
3.207 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.208 * [backup-simplify]: Simplify (* 1 1) into 1
3.208 * [backup-simplify]: Simplify (* 1 1) into 1
3.209 * [backup-simplify]: Simplify (/ 1 1) into 1
3.210 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.211 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 1)) into 0
3.213 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
3.214 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.215 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
3.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0
3.218 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3
3.218 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.220 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/3) (+ (* -1/6 0) (* 0 1)))) into 0
3.220 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.222 * [backup-simplify]: Simplify (+ (* 1 -1/3) (+ (* 0 0) (* -1/6 1))) into -1/2
3.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/2 1)) (* 0 (/ 0 1)))) into 1/2
3.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/2 1)) (* 1/2 (/ 0 1)))) into 0
3.226 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1/2) (+ (* 0 0) (* 0 1)))) into 0
3.226 * [backup-simplify]: Simplify (+ 0 0) into 0
3.227 * [backup-simplify]: Simplify (- 0) into 0
3.227 * [backup-simplify]: Simplify 0 into 0
3.227 * [backup-simplify]: Simplify 0 into 0
3.227 * [backup-simplify]: Simplify 0 into 0
3.228 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
3.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/6 1)) (* 1/6 (/ 0 1)))) into 0
3.230 * [backup-simplify]: Simplify 0 into 0
3.230 * [backup-simplify]: Simplify (* 1/6 (* kx (* ky th))) into (* 1/6 (* kx (* ky th)))
3.230 * [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))))
3.230 * [approximate]: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in (th ky kx) around 0
3.231 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in kx
3.231 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in kx
3.231 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in kx
3.231 * [taylor]: Taking taylor expansion of (/ 1 th) in kx
3.231 * [taylor]: Taking taylor expansion of th in kx
3.231 * [backup-simplify]: Simplify th into th
3.231 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
3.231 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
3.231 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
3.231 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
3.231 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
3.231 * [taylor]: Taking taylor expansion of ky in kx
3.231 * [backup-simplify]: Simplify ky into ky
3.231 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
3.231 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.231 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
3.231 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in kx
3.232 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
3.232 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in kx
3.232 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in kx
3.232 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
3.232 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
3.232 * [taylor]: Taking taylor expansion of ky in kx
3.232 * [backup-simplify]: Simplify ky into ky
3.232 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
3.232 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.232 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
3.232 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
3.232 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
3.232 * [taylor]: Taking taylor expansion of ky in kx
3.232 * [backup-simplify]: Simplify ky into ky
3.232 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
3.232 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.232 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
3.232 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in kx
3.232 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
3.232 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
3.232 * [taylor]: Taking taylor expansion of kx in kx
3.232 * [backup-simplify]: Simplify 0 into 0
3.232 * [backup-simplify]: Simplify 1 into 1
3.233 * [backup-simplify]: Simplify (/ 1 1) into 1
3.233 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
3.233 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
3.233 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
3.233 * [taylor]: Taking taylor expansion of kx in kx
3.233 * [backup-simplify]: Simplify 0 into 0
3.233 * [backup-simplify]: Simplify 1 into 1
3.234 * [backup-simplify]: Simplify (/ 1 1) into 1
3.234 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
3.234 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
3.234 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
3.234 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
3.234 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
3.234 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
3.234 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
3.235 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
3.235 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
3.235 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
3.235 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
3.236 * [backup-simplify]: Simplify (+ 0) into 0
3.236 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
3.236 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
3.237 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.238 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
3.238 * [backup-simplify]: Simplify (+ 0 0) into 0
3.238 * [backup-simplify]: Simplify (+ 0) into 0
3.239 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
3.239 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
3.240 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.240 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
3.240 * [backup-simplify]: Simplify (+ 0 0) into 0
3.240 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
3.240 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
3.241 * [backup-simplify]: Simplify (+ 0 0) into 0
3.241 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
3.241 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
3.241 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
3.241 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
3.241 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
3.241 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
3.241 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
3.241 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
3.241 * [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)))))
3.242 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in ky
3.242 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in ky
3.242 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in ky
3.242 * [taylor]: Taking taylor expansion of (/ 1 th) in ky
3.242 * [taylor]: Taking taylor expansion of th in ky
3.242 * [backup-simplify]: Simplify th into th
3.242 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
3.242 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
3.242 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
3.242 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
3.242 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
3.242 * [taylor]: Taking taylor expansion of ky in ky
3.242 * [backup-simplify]: Simplify 0 into 0
3.242 * [backup-simplify]: Simplify 1 into 1
3.242 * [backup-simplify]: Simplify (/ 1 1) into 1
3.242 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.242 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky
3.242 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
3.242 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky
3.242 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
3.242 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
3.242 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
3.242 * [taylor]: Taking taylor expansion of ky in ky
3.242 * [backup-simplify]: Simplify 0 into 0
3.242 * [backup-simplify]: Simplify 1 into 1
3.243 * [backup-simplify]: Simplify (/ 1 1) into 1
3.243 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.243 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
3.243 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
3.243 * [taylor]: Taking taylor expansion of ky in ky
3.243 * [backup-simplify]: Simplify 0 into 0
3.243 * [backup-simplify]: Simplify 1 into 1
3.243 * [backup-simplify]: Simplify (/ 1 1) into 1
3.243 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.243 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
3.243 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
3.243 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
3.243 * [taylor]: Taking taylor expansion of kx in ky
3.243 * [backup-simplify]: Simplify kx into kx
3.243 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
3.243 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
3.243 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
3.243 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
3.243 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
3.243 * [taylor]: Taking taylor expansion of kx in ky
3.243 * [backup-simplify]: Simplify kx into kx
3.243 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
3.243 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
3.243 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
3.243 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
3.244 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
3.244 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
3.244 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
3.244 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
3.244 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
3.244 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
3.244 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
3.244 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
3.244 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
3.244 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
3.245 * [backup-simplify]: Simplify (+ 0) into 0
3.245 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
3.245 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
3.245 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.246 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
3.248 * [backup-simplify]: Simplify (+ 0 0) into 0
3.248 * [backup-simplify]: Simplify (+ 0) into 0
3.249 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
3.249 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
3.249 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.250 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
3.250 * [backup-simplify]: Simplify (+ 0 0) into 0
3.250 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
3.250 * [backup-simplify]: Simplify (+ 0 0) into 0
3.250 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
3.250 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
3.250 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
3.250 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
3.251 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
3.251 * [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)))))
3.251 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in th
3.251 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in th
3.251 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in th
3.251 * [taylor]: Taking taylor expansion of (/ 1 th) in th
3.251 * [taylor]: Taking taylor expansion of th in th
3.251 * [backup-simplify]: Simplify 0 into 0
3.251 * [backup-simplify]: Simplify 1 into 1
3.251 * [backup-simplify]: Simplify (/ 1 1) into 1
3.251 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
3.251 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
3.251 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
3.251 * [taylor]: Taking taylor expansion of ky in th
3.251 * [backup-simplify]: Simplify ky into ky
3.251 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
3.251 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.251 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
3.251 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in th
3.251 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
3.251 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in th
3.251 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in th
3.252 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
3.252 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
3.252 * [taylor]: Taking taylor expansion of ky in th
3.252 * [backup-simplify]: Simplify ky into ky
3.252 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
3.252 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.252 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
3.252 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
3.252 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
3.252 * [taylor]: Taking taylor expansion of ky in th
3.252 * [backup-simplify]: Simplify ky into ky
3.252 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
3.252 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.252 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
3.252 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in th
3.252 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in th
3.252 * [taylor]: Taking taylor expansion of (/ 1 kx) in th
3.252 * [taylor]: Taking taylor expansion of kx in th
3.252 * [backup-simplify]: Simplify kx into kx
3.252 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
3.252 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
3.252 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
3.252 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in th
3.252 * [taylor]: Taking taylor expansion of (/ 1 kx) in th
3.252 * [taylor]: Taking taylor expansion of kx in th
3.252 * [backup-simplify]: Simplify kx into kx
3.252 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
3.252 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
3.252 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
3.252 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
3.252 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
3.252 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
3.252 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
3.253 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
3.253 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
3.253 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
3.253 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
3.253 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
3.253 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
3.253 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
3.253 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
3.253 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
3.253 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
3.253 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
3.253 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
3.254 * [backup-simplify]: Simplify (+ 0) into 0
3.254 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
3.254 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
3.254 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.255 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
3.255 * [backup-simplify]: Simplify (+ 0 0) into 0
3.255 * [backup-simplify]: Simplify (+ 0) into 0
3.256 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
3.256 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
3.256 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.256 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
3.257 * [backup-simplify]: Simplify (+ 0 0) into 0
3.257 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
3.257 * [backup-simplify]: Simplify (+ 0) into 0
3.257 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
3.258 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
3.258 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.258 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
3.259 * [backup-simplify]: Simplify (+ 0 0) into 0
3.259 * [backup-simplify]: Simplify (+ 0) into 0
3.259 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
3.259 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
3.260 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.260 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
3.260 * [backup-simplify]: Simplify (+ 0 0) into 0
3.260 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
3.261 * [backup-simplify]: Simplify (+ 0 0) into 0
3.261 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
3.261 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
3.261 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
3.261 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
3.261 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
3.261 * [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)))))
3.261 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in th
3.261 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in th
3.262 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in th
3.262 * [taylor]: Taking taylor expansion of (/ 1 th) in th
3.262 * [taylor]: Taking taylor expansion of th in th
3.262 * [backup-simplify]: Simplify 0 into 0
3.262 * [backup-simplify]: Simplify 1 into 1
3.262 * [backup-simplify]: Simplify (/ 1 1) into 1
3.262 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
3.262 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
3.262 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
3.262 * [taylor]: Taking taylor expansion of ky in th
3.262 * [backup-simplify]: Simplify ky into ky
3.262 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
3.262 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.262 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
3.262 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in th
3.262 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
3.262 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in th
3.262 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in th
3.262 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
3.262 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
3.262 * [taylor]: Taking taylor expansion of ky in th
3.262 * [backup-simplify]: Simplify ky into ky
3.262 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
3.262 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.262 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
3.262 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
3.262 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
3.262 * [taylor]: Taking taylor expansion of ky in th
3.262 * [backup-simplify]: Simplify ky into ky
3.262 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
3.262 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.263 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
3.263 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in th
3.263 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in th
3.263 * [taylor]: Taking taylor expansion of (/ 1 kx) in th
3.263 * [taylor]: Taking taylor expansion of kx in th
3.263 * [backup-simplify]: Simplify kx into kx
3.263 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
3.263 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
3.263 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
3.263 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in th
3.263 * [taylor]: Taking taylor expansion of (/ 1 kx) in th
3.263 * [taylor]: Taking taylor expansion of kx in th
3.263 * [backup-simplify]: Simplify kx into kx
3.263 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
3.263 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
3.263 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
3.263 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
3.263 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
3.263 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
3.263 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
3.263 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
3.263 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
3.264 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
3.264 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
3.264 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
3.264 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
3.264 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
3.264 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
3.264 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
3.264 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
3.264 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
3.264 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
3.265 * [backup-simplify]: Simplify (+ 0) into 0
3.265 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
3.265 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
3.265 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.266 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
3.266 * [backup-simplify]: Simplify (+ 0 0) into 0
3.266 * [backup-simplify]: Simplify (+ 0) into 0
3.267 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
3.267 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
3.267 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.267 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
3.268 * [backup-simplify]: Simplify (+ 0 0) into 0
3.268 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
3.268 * [backup-simplify]: Simplify (+ 0) into 0
3.268 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
3.268 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
3.269 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.269 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
3.269 * [backup-simplify]: Simplify (+ 0 0) into 0
3.270 * [backup-simplify]: Simplify (+ 0) into 0
3.270 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
3.270 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
3.271 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.271 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
3.271 * [backup-simplify]: Simplify (+ 0 0) into 0
3.271 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
3.271 * [backup-simplify]: Simplify (+ 0 0) into 0
3.272 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
3.272 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
3.272 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
3.272 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
3.272 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
3.272 * [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)))))
3.273 * [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
3.273 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in ky
3.273 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in ky
3.273 * [taylor]: Taking taylor expansion of (/ 1 th) in ky
3.273 * [taylor]: Taking taylor expansion of th in ky
3.273 * [backup-simplify]: Simplify th into th
3.273 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
3.273 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
3.273 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
3.273 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
3.273 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
3.273 * [taylor]: Taking taylor expansion of ky in ky
3.273 * [backup-simplify]: Simplify 0 into 0
3.273 * [backup-simplify]: Simplify 1 into 1
3.273 * [backup-simplify]: Simplify (/ 1 1) into 1
3.274 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.274 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in ky
3.274 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in ky
3.274 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in ky
3.274 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in ky
3.274 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
3.274 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
3.274 * [taylor]: Taking taylor expansion of kx in ky
3.274 * [backup-simplify]: Simplify kx into kx
3.274 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
3.274 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
3.274 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
3.274 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
3.274 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
3.274 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
3.274 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in ky
3.274 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
3.274 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
3.274 * [taylor]: Taking taylor expansion of ky in ky
3.274 * [backup-simplify]: Simplify 0 into 0
3.274 * [backup-simplify]: Simplify 1 into 1
3.275 * [backup-simplify]: Simplify (/ 1 1) into 1
3.275 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.275 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
3.275 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
3.275 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
3.276 * [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)))
3.276 * [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))))
3.276 * [backup-simplify]: Simplify (+ 0) into 0
3.277 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
3.277 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
3.278 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.278 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
3.279 * [backup-simplify]: Simplify (+ 0 0) into 0
3.279 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
3.279 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
3.279 * [backup-simplify]: Simplify (+ 0 0) into 0
3.280 * [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
3.280 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
3.280 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
3.280 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
3.281 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
3.281 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
3.281 * [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)))))
3.281 * [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
3.281 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in kx
3.281 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in kx
3.281 * [taylor]: Taking taylor expansion of (/ 1 th) in kx
3.281 * [taylor]: Taking taylor expansion of th in kx
3.281 * [backup-simplify]: Simplify th into th
3.281 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
3.281 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
3.281 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
3.281 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
3.281 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
3.281 * [taylor]: Taking taylor expansion of ky in kx
3.281 * [backup-simplify]: Simplify ky into ky
3.282 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
3.282 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.282 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
3.282 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in kx
3.282 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx
3.282 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx
3.282 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx
3.282 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
3.282 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
3.282 * [taylor]: Taking taylor expansion of kx in kx
3.282 * [backup-simplify]: Simplify 0 into 0
3.282 * [backup-simplify]: Simplify 1 into 1
3.282 * [backup-simplify]: Simplify (/ 1 1) into 1
3.282 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
3.283 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx
3.283 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
3.283 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
3.283 * [taylor]: Taking taylor expansion of ky in kx
3.283 * [backup-simplify]: Simplify ky into ky
3.283 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
3.283 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.283 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
3.283 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
3.283 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
3.283 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
3.283 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
3.283 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
3.284 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
3.284 * [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)))
3.284 * [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))))
3.284 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
3.285 * [backup-simplify]: Simplify (+ 0) into 0
3.285 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
3.285 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
3.286 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.287 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
3.287 * [backup-simplify]: Simplify (+ 0 0) into 0
3.287 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
3.288 * [backup-simplify]: Simplify (+ 0 0) into 0
3.288 * [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
3.288 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
3.289 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
3.289 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
3.289 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
3.289 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
3.289 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
3.289 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
3.289 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
3.289 * [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)))))
3.290 * [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)))))
3.290 * [backup-simplify]: Simplify (+ 0) into 0
3.291 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
3.291 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
3.292 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.293 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
3.293 * [backup-simplify]: Simplify (+ 0 0) into 0
3.293 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 (sin (/ 1 ky)))) into 0
3.294 * [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
3.294 * [taylor]: Taking taylor expansion of 0 in ky
3.294 * [backup-simplify]: Simplify 0 into 0
3.294 * [taylor]: Taking taylor expansion of 0 in kx
3.294 * [backup-simplify]: Simplify 0 into 0
3.294 * [backup-simplify]: Simplify 0 into 0
3.295 * [backup-simplify]: Simplify (+ 0) into 0
3.295 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 1)) into 0
3.296 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
3.296 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.297 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 0)) into 0
3.297 * [backup-simplify]: Simplify (+ 0 0) into 0
3.297 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 (sin (/ 1 ky)))) into 0
3.298 * [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
3.298 * [taylor]: Taking taylor expansion of 0 in kx
3.298 * [backup-simplify]: Simplify 0 into 0
3.298 * [backup-simplify]: Simplify 0 into 0
3.298 * [backup-simplify]: Simplify (+ 0) into 0
3.299 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
3.299 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
3.300 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.300 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
3.301 * [backup-simplify]: Simplify (+ 0 0) into 0
3.301 * [backup-simplify]: Simplify (+ 0) into 0
3.302 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 1)) into 0
3.302 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
3.303 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.303 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 0)) into 0
3.304 * [backup-simplify]: Simplify (+ 0 0) into 0
3.304 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 (sin (/ 1 ky)))) into 0
3.304 * [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
3.304 * [backup-simplify]: Simplify 0 into 0
3.305 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.306 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
3.306 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
3.307 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.308 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
3.308 * [backup-simplify]: Simplify (+ 0 0) into 0
3.308 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
3.309 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.310 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
3.310 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
3.311 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.312 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
3.312 * [backup-simplify]: Simplify (+ 0 0) into 0
3.313 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.314 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
3.314 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
3.315 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.316 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
3.316 * [backup-simplify]: Simplify (+ 0 0) into 0
3.317 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
3.317 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.318 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
3.318 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
3.319 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.320 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
3.320 * [backup-simplify]: Simplify (+ 0 0) into 0
3.321 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.321 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
3.321 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
3.322 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.322 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
3.322 * [backup-simplify]: Simplify (+ 0 0) into 0
3.322 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
3.323 * [backup-simplify]: Simplify (+ 0 0) into 0
3.323 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
3.324 * [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
3.324 * [taylor]: Taking taylor expansion of 0 in ky
3.324 * [backup-simplify]: Simplify 0 into 0
3.324 * [taylor]: Taking taylor expansion of 0 in kx
3.324 * [backup-simplify]: Simplify 0 into 0
3.324 * [backup-simplify]: Simplify 0 into 0
3.324 * [taylor]: Taking taylor expansion of 0 in kx
3.324 * [backup-simplify]: Simplify 0 into 0
3.324 * [backup-simplify]: Simplify 0 into 0
3.325 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.325 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
3.325 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
3.326 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.326 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
3.326 * [backup-simplify]: Simplify (+ 0 0) into 0
3.327 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
3.327 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
3.327 * [backup-simplify]: Simplify (+ 0 0) into 0
3.328 * [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
3.328 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
3.329 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.329 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
3.329 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
3.330 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.330 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
3.330 * [backup-simplify]: Simplify (+ 0 0) into 0
3.331 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
3.331 * [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
3.331 * [taylor]: Taking taylor expansion of 0 in kx
3.331 * [backup-simplify]: Simplify 0 into 0
3.331 * [backup-simplify]: Simplify 0 into 0
3.332 * [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)))
3.332 * [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))))
3.332 * [approximate]: Taking taylor expansion of (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in (th ky kx) around 0
3.332 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in kx
3.332 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in kx
3.332 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in kx
3.332 * [taylor]: Taking taylor expansion of (/ -1 th) in kx
3.332 * [taylor]: Taking taylor expansion of -1 in kx
3.332 * [backup-simplify]: Simplify -1 into -1
3.332 * [taylor]: Taking taylor expansion of th in kx
3.332 * [backup-simplify]: Simplify th into th
3.332 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
3.332 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
3.332 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
3.332 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
3.332 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
3.332 * [taylor]: Taking taylor expansion of -1 in kx
3.332 * [backup-simplify]: Simplify -1 into -1
3.332 * [taylor]: Taking taylor expansion of ky in kx
3.332 * [backup-simplify]: Simplify ky into ky
3.332 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
3.332 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.332 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
3.332 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in kx
3.332 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
3.332 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in kx
3.332 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in kx
3.332 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
3.332 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
3.332 * [taylor]: Taking taylor expansion of -1 in kx
3.332 * [backup-simplify]: Simplify -1 into -1
3.333 * [taylor]: Taking taylor expansion of ky in kx
3.333 * [backup-simplify]: Simplify ky into ky
3.333 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
3.333 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.333 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
3.333 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
3.333 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
3.333 * [taylor]: Taking taylor expansion of -1 in kx
3.333 * [backup-simplify]: Simplify -1 into -1
3.333 * [taylor]: Taking taylor expansion of ky in kx
3.333 * [backup-simplify]: Simplify ky into ky
3.333 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
3.333 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.333 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
3.333 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in kx
3.333 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
3.333 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
3.333 * [taylor]: Taking taylor expansion of -1 in kx
3.333 * [backup-simplify]: Simplify -1 into -1
3.333 * [taylor]: Taking taylor expansion of kx in kx
3.333 * [backup-simplify]: Simplify 0 into 0
3.333 * [backup-simplify]: Simplify 1 into 1
3.333 * [backup-simplify]: Simplify (/ -1 1) into -1
3.333 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
3.333 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
3.333 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
3.333 * [taylor]: Taking taylor expansion of -1 in kx
3.333 * [backup-simplify]: Simplify -1 into -1
3.333 * [taylor]: Taking taylor expansion of kx in kx
3.333 * [backup-simplify]: Simplify 0 into 0
3.333 * [backup-simplify]: Simplify 1 into 1
3.334 * [backup-simplify]: Simplify (/ -1 1) into -1
3.334 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
3.334 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
3.334 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
3.334 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
3.334 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
3.334 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
3.334 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
3.334 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
3.334 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
3.334 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
3.335 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
3.335 * [backup-simplify]: Simplify (+ 0) into 0
3.335 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
3.335 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
3.336 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.336 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
3.336 * [backup-simplify]: Simplify (+ 0 0) into 0
3.337 * [backup-simplify]: Simplify (+ 0) into 0
3.337 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
3.337 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
3.337 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.338 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
3.338 * [backup-simplify]: Simplify (+ 0 0) into 0
3.338 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
3.338 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
3.338 * [backup-simplify]: Simplify (+ 0 0) into 0
3.339 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
3.339 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
3.339 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
3.339 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
3.339 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
3.339 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
3.339 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
3.339 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
3.339 * [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)))))
3.339 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in ky
3.339 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in ky
3.339 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in ky
3.339 * [taylor]: Taking taylor expansion of (/ -1 th) in ky
3.339 * [taylor]: Taking taylor expansion of -1 in ky
3.339 * [backup-simplify]: Simplify -1 into -1
3.339 * [taylor]: Taking taylor expansion of th in ky
3.339 * [backup-simplify]: Simplify th into th
3.339 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
3.339 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
3.339 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
3.339 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
3.339 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
3.339 * [taylor]: Taking taylor expansion of -1 in ky
3.339 * [backup-simplify]: Simplify -1 into -1
3.339 * [taylor]: Taking taylor expansion of ky in ky
3.339 * [backup-simplify]: Simplify 0 into 0
3.340 * [backup-simplify]: Simplify 1 into 1
3.340 * [backup-simplify]: Simplify (/ -1 1) into -1
3.340 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.340 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in ky
3.340 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
3.340 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in ky
3.340 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
3.340 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
3.340 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
3.340 * [taylor]: Taking taylor expansion of -1 in ky
3.340 * [backup-simplify]: Simplify -1 into -1
3.340 * [taylor]: Taking taylor expansion of ky in ky
3.340 * [backup-simplify]: Simplify 0 into 0
3.340 * [backup-simplify]: Simplify 1 into 1
3.340 * [backup-simplify]: Simplify (/ -1 1) into -1
3.340 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.340 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
3.340 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
3.340 * [taylor]: Taking taylor expansion of -1 in ky
3.340 * [backup-simplify]: Simplify -1 into -1
3.340 * [taylor]: Taking taylor expansion of ky in ky
3.341 * [backup-simplify]: Simplify 0 into 0
3.341 * [backup-simplify]: Simplify 1 into 1
3.341 * [backup-simplify]: Simplify (/ -1 1) into -1
3.341 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.341 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
3.341 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
3.341 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
3.341 * [taylor]: Taking taylor expansion of -1 in ky
3.341 * [backup-simplify]: Simplify -1 into -1
3.341 * [taylor]: Taking taylor expansion of kx in ky
3.341 * [backup-simplify]: Simplify kx into kx
3.341 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
3.341 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
3.341 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
3.341 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
3.341 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
3.341 * [taylor]: Taking taylor expansion of -1 in ky
3.341 * [backup-simplify]: Simplify -1 into -1
3.341 * [taylor]: Taking taylor expansion of kx in ky
3.341 * [backup-simplify]: Simplify kx into kx
3.341 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
3.341 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
3.341 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
3.341 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
3.341 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
3.341 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
3.342 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
3.342 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
3.342 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
3.342 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
3.342 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
3.342 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
3.342 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
3.342 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
3.342 * [backup-simplify]: Simplify (+ 0) into 0
3.343 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
3.343 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
3.343 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.344 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
3.344 * [backup-simplify]: Simplify (+ 0 0) into 0
3.344 * [backup-simplify]: Simplify (+ 0) into 0
3.344 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
3.345 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
3.345 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.345 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
3.346 * [backup-simplify]: Simplify (+ 0 0) into 0
3.346 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
3.346 * [backup-simplify]: Simplify (+ 0 0) into 0
3.346 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
3.346 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
3.346 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
3.346 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
3.346 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
3.347 * [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)))))
3.347 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in th
3.347 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in th
3.347 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in th
3.347 * [taylor]: Taking taylor expansion of (/ -1 th) in th
3.347 * [taylor]: Taking taylor expansion of -1 in th
3.347 * [backup-simplify]: Simplify -1 into -1
3.347 * [taylor]: Taking taylor expansion of th in th
3.347 * [backup-simplify]: Simplify 0 into 0
3.347 * [backup-simplify]: Simplify 1 into 1
3.347 * [backup-simplify]: Simplify (/ -1 1) into -1
3.347 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
3.347 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
3.347 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
3.347 * [taylor]: Taking taylor expansion of -1 in th
3.347 * [backup-simplify]: Simplify -1 into -1
3.347 * [taylor]: Taking taylor expansion of ky in th
3.347 * [backup-simplify]: Simplify ky into ky
3.347 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
3.347 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.347 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
3.347 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in th
3.347 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
3.347 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in th
3.347 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in th
3.347 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
3.347 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
3.347 * [taylor]: Taking taylor expansion of -1 in th
3.347 * [backup-simplify]: Simplify -1 into -1
3.347 * [taylor]: Taking taylor expansion of ky in th
3.347 * [backup-simplify]: Simplify ky into ky
3.348 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
3.348 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.348 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
3.348 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
3.348 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
3.348 * [taylor]: Taking taylor expansion of -1 in th
3.348 * [backup-simplify]: Simplify -1 into -1
3.348 * [taylor]: Taking taylor expansion of ky in th
3.348 * [backup-simplify]: Simplify ky into ky
3.348 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
3.348 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.348 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
3.348 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in th
3.348 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in th
3.348 * [taylor]: Taking taylor expansion of (/ -1 kx) in th
3.348 * [taylor]: Taking taylor expansion of -1 in th
3.348 * [backup-simplify]: Simplify -1 into -1
3.348 * [taylor]: Taking taylor expansion of kx in th
3.348 * [backup-simplify]: Simplify kx into kx
3.348 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
3.348 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
3.348 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
3.348 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in th
3.348 * [taylor]: Taking taylor expansion of (/ -1 kx) in th
3.348 * [taylor]: Taking taylor expansion of -1 in th
3.348 * [backup-simplify]: Simplify -1 into -1
3.348 * [taylor]: Taking taylor expansion of kx in th
3.348 * [backup-simplify]: Simplify kx into kx
3.348 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
3.348 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
3.348 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
3.348 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
3.348 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
3.348 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
3.348 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
3.349 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
3.349 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
3.349 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
3.349 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
3.349 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
3.349 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
3.349 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
3.349 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
3.349 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
3.349 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
3.349 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
3.349 * [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)))
3.350 * [backup-simplify]: Simplify (+ 0) into 0
3.350 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
3.350 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
3.351 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.351 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
3.351 * [backup-simplify]: Simplify (+ 0 0) into 0
3.351 * [backup-simplify]: Simplify (+ 0) into 0
3.352 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
3.352 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
3.353 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.353 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
3.354 * [backup-simplify]: Simplify (+ 0 0) into 0
3.354 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
3.354 * [backup-simplify]: Simplify (+ 0) into 0
3.355 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
3.355 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
3.356 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.356 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
3.357 * [backup-simplify]: Simplify (+ 0 0) into 0
3.357 * [backup-simplify]: Simplify (+ 0) into 0
3.358 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
3.358 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
3.358 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.359 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
3.359 * [backup-simplify]: Simplify (+ 0 0) into 0
3.360 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
3.360 * [backup-simplify]: Simplify (+ 0 0) into 0
3.360 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
3.360 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
3.360 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
3.361 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
3.361 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
3.361 * [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)))))
3.361 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in th
3.361 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in th
3.361 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in th
3.361 * [taylor]: Taking taylor expansion of (/ -1 th) in th
3.361 * [taylor]: Taking taylor expansion of -1 in th
3.361 * [backup-simplify]: Simplify -1 into -1
3.361 * [taylor]: Taking taylor expansion of th in th
3.361 * [backup-simplify]: Simplify 0 into 0
3.361 * [backup-simplify]: Simplify 1 into 1
3.362 * [backup-simplify]: Simplify (/ -1 1) into -1
3.362 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
3.362 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
3.362 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
3.362 * [taylor]: Taking taylor expansion of -1 in th
3.362 * [backup-simplify]: Simplify -1 into -1
3.362 * [taylor]: Taking taylor expansion of ky in th
3.362 * [backup-simplify]: Simplify ky into ky
3.362 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
3.363 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.363 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
3.363 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in th
3.363 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
3.363 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in th
3.363 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in th
3.363 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
3.363 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
3.363 * [taylor]: Taking taylor expansion of -1 in th
3.363 * [backup-simplify]: Simplify -1 into -1
3.363 * [taylor]: Taking taylor expansion of ky in th
3.363 * [backup-simplify]: Simplify ky into ky
3.363 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
3.363 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.363 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
3.363 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
3.363 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
3.363 * [taylor]: Taking taylor expansion of -1 in th
3.363 * [backup-simplify]: Simplify -1 into -1
3.363 * [taylor]: Taking taylor expansion of ky in th
3.363 * [backup-simplify]: Simplify ky into ky
3.363 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
3.363 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.364 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
3.364 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in th
3.364 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in th
3.364 * [taylor]: Taking taylor expansion of (/ -1 kx) in th
3.364 * [taylor]: Taking taylor expansion of -1 in th
3.364 * [backup-simplify]: Simplify -1 into -1
3.364 * [taylor]: Taking taylor expansion of kx in th
3.364 * [backup-simplify]: Simplify kx into kx
3.364 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
3.364 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
3.364 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
3.364 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in th
3.364 * [taylor]: Taking taylor expansion of (/ -1 kx) in th
3.364 * [taylor]: Taking taylor expansion of -1 in th
3.364 * [backup-simplify]: Simplify -1 into -1
3.364 * [taylor]: Taking taylor expansion of kx in th
3.364 * [backup-simplify]: Simplify kx into kx
3.364 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
3.364 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
3.364 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
3.364 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
3.365 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
3.365 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
3.365 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
3.365 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
3.365 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
3.365 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
3.365 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
3.365 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
3.365 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
3.365 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
3.365 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
3.366 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
3.366 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
3.366 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
3.366 * [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)))
3.367 * [backup-simplify]: Simplify (+ 0) into 0
3.367 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
3.367 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
3.368 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.369 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
3.369 * [backup-simplify]: Simplify (+ 0 0) into 0
3.369 * [backup-simplify]: Simplify (+ 0) into 0
3.370 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
3.370 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
3.373 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.374 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
3.374 * [backup-simplify]: Simplify (+ 0 0) into 0
3.374 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
3.375 * [backup-simplify]: Simplify (+ 0) into 0
3.375 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
3.375 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
3.376 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.377 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
3.377 * [backup-simplify]: Simplify (+ 0 0) into 0
3.377 * [backup-simplify]: Simplify (+ 0) into 0
3.378 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
3.378 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
3.379 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.379 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
3.380 * [backup-simplify]: Simplify (+ 0 0) into 0
3.380 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
3.380 * [backup-simplify]: Simplify (+ 0 0) into 0
3.380 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
3.381 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
3.381 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
3.381 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
3.381 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
3.381 * [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)))))
3.381 * [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
3.381 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in ky
3.381 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in ky
3.381 * [taylor]: Taking taylor expansion of (/ -1 th) in ky
3.381 * [taylor]: Taking taylor expansion of -1 in ky
3.381 * [backup-simplify]: Simplify -1 into -1
3.381 * [taylor]: Taking taylor expansion of th in ky
3.382 * [backup-simplify]: Simplify th into th
3.382 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
3.382 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
3.382 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
3.382 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
3.382 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
3.382 * [taylor]: Taking taylor expansion of -1 in ky
3.382 * [backup-simplify]: Simplify -1 into -1
3.382 * [taylor]: Taking taylor expansion of ky in ky
3.382 * [backup-simplify]: Simplify 0 into 0
3.382 * [backup-simplify]: Simplify 1 into 1
3.382 * [backup-simplify]: Simplify (/ -1 1) into -1
3.382 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.382 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in ky
3.383 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in ky
3.383 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in ky
3.383 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in ky
3.383 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
3.383 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
3.383 * [taylor]: Taking taylor expansion of -1 in ky
3.383 * [backup-simplify]: Simplify -1 into -1
3.383 * [taylor]: Taking taylor expansion of kx in ky
3.383 * [backup-simplify]: Simplify kx into kx
3.383 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
3.383 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
3.383 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
3.383 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
3.383 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
3.383 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
3.383 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in ky
3.383 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
3.383 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
3.383 * [taylor]: Taking taylor expansion of -1 in ky
3.383 * [backup-simplify]: Simplify -1 into -1
3.383 * [taylor]: Taking taylor expansion of ky in ky
3.383 * [backup-simplify]: Simplify 0 into 0
3.383 * [backup-simplify]: Simplify 1 into 1
3.384 * [backup-simplify]: Simplify (/ -1 1) into -1
3.384 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.384 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
3.384 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
3.384 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
3.385 * [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)))
3.385 * [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))))
3.385 * [backup-simplify]: Simplify (+ 0) into 0
3.386 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
3.386 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
3.387 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.387 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
3.388 * [backup-simplify]: Simplify (+ 0 0) into 0
3.388 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
3.388 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
3.388 * [backup-simplify]: Simplify (+ 0 0) into 0
3.389 * [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
3.389 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
3.389 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
3.389 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
3.389 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
3.389 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
3.390 * [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)))))
3.390 * [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
3.390 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in kx
3.390 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in kx
3.390 * [taylor]: Taking taylor expansion of (/ -1 th) in kx
3.390 * [taylor]: Taking taylor expansion of -1 in kx
3.390 * [backup-simplify]: Simplify -1 into -1
3.390 * [taylor]: Taking taylor expansion of th in kx
3.390 * [backup-simplify]: Simplify th into th
3.390 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
3.390 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
3.390 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
3.390 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
3.390 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
3.390 * [taylor]: Taking taylor expansion of -1 in kx
3.390 * [backup-simplify]: Simplify -1 into -1
3.390 * [taylor]: Taking taylor expansion of ky in kx
3.390 * [backup-simplify]: Simplify ky into ky
3.390 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
3.390 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.391 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
3.391 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in kx
3.391 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx
3.391 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx
3.391 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx
3.391 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
3.391 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
3.391 * [taylor]: Taking taylor expansion of -1 in kx
3.391 * [backup-simplify]: Simplify -1 into -1
3.391 * [taylor]: Taking taylor expansion of kx in kx
3.391 * [backup-simplify]: Simplify 0 into 0
3.391 * [backup-simplify]: Simplify 1 into 1
3.391 * [backup-simplify]: Simplify (/ -1 1) into -1
3.391 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
3.391 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx
3.392 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
3.392 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
3.392 * [taylor]: Taking taylor expansion of -1 in kx
3.392 * [backup-simplify]: Simplify -1 into -1
3.392 * [taylor]: Taking taylor expansion of ky in kx
3.392 * [backup-simplify]: Simplify ky into ky
3.392 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
3.392 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.392 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
3.392 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
3.392 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
3.392 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
3.392 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
3.392 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
3.393 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
3.393 * [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)))
3.393 * [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))))
3.393 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
3.394 * [backup-simplify]: Simplify (+ 0) into 0
3.394 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
3.394 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
3.395 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.396 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
3.396 * [backup-simplify]: Simplify (+ 0 0) into 0
3.396 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
3.396 * [backup-simplify]: Simplify (+ 0 0) into 0
3.397 * [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
3.397 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
3.397 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
3.397 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
3.397 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
3.398 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
3.398 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
3.398 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
3.398 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
3.398 * [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)))))
3.399 * [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)))))
3.399 * [backup-simplify]: Simplify (+ 0) into 0
3.400 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
3.400 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
3.401 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.401 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
3.401 * [backup-simplify]: Simplify (+ 0 0) into 0
3.402 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 (sin (/ -1 ky)))) into 0
3.402 * [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
3.403 * [taylor]: Taking taylor expansion of 0 in ky
3.403 * [backup-simplify]: Simplify 0 into 0
3.403 * [taylor]: Taking taylor expansion of 0 in kx
3.403 * [backup-simplify]: Simplify 0 into 0
3.403 * [backup-simplify]: Simplify 0 into 0
3.403 * [backup-simplify]: Simplify (+ 0) into 0
3.404 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 1)) into 0
3.404 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
3.405 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.405 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 0)) into 0
3.405 * [backup-simplify]: Simplify (+ 0 0) into 0
3.405 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 (sin (/ -1 ky)))) into 0
3.406 * [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
3.406 * [taylor]: Taking taylor expansion of 0 in kx
3.406 * [backup-simplify]: Simplify 0 into 0
3.406 * [backup-simplify]: Simplify 0 into 0
3.407 * [backup-simplify]: Simplify (+ 0) into 0
3.407 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
3.407 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
3.408 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.409 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
3.409 * [backup-simplify]: Simplify (+ 0 0) into 0
3.410 * [backup-simplify]: Simplify (+ 0) into 0
3.410 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 1)) into 0
3.410 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
3.411 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.412 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 0)) into 0
3.412 * [backup-simplify]: Simplify (+ 0 0) into 0
3.412 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 (sin (/ -1 ky)))) into 0
3.413 * [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
3.413 * [backup-simplify]: Simplify 0 into 0
3.414 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.414 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
3.415 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
3.415 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.416 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
3.416 * [backup-simplify]: Simplify (+ 0 0) into 0
3.417 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
3.418 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.419 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
3.419 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
3.420 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.420 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
3.421 * [backup-simplify]: Simplify (+ 0 0) into 0
3.422 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.422 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
3.423 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
3.423 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.424 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
3.425 * [backup-simplify]: Simplify (+ 0 0) into 0
3.425 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
3.426 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.427 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
3.427 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
3.428 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.428 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
3.429 * [backup-simplify]: Simplify (+ 0 0) into 0
3.430 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.430 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
3.431 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
3.431 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.432 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
3.432 * [backup-simplify]: Simplify (+ 0 0) into 0
3.433 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
3.433 * [backup-simplify]: Simplify (+ 0 0) into 0
3.434 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
3.435 * [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
3.435 * [taylor]: Taking taylor expansion of 0 in ky
3.435 * [backup-simplify]: Simplify 0 into 0
3.435 * [taylor]: Taking taylor expansion of 0 in kx
3.435 * [backup-simplify]: Simplify 0 into 0
3.435 * [backup-simplify]: Simplify 0 into 0
3.436 * [taylor]: Taking taylor expansion of 0 in kx
3.436 * [backup-simplify]: Simplify 0 into 0
3.436 * [backup-simplify]: Simplify 0 into 0
3.437 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.438 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
3.438 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
3.439 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.439 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
3.440 * [backup-simplify]: Simplify (+ 0 0) into 0
3.440 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
3.441 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
3.441 * [backup-simplify]: Simplify (+ 0 0) into 0
3.442 * [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
3.443 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
3.443 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.444 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
3.445 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
3.445 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.446 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
3.446 * [backup-simplify]: Simplify (+ 0 0) into 0
3.447 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
3.448 * [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
3.448 * [taylor]: Taking taylor expansion of 0 in kx
3.448 * [backup-simplify]: Simplify 0 into 0
3.448 * [backup-simplify]: Simplify 0 into 0
3.448 * [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)))
3.448 * * * * [progress]: [ 2 / 3 ] generating series at (2 2)
3.449 * [backup-simplify]: Simplify (/ (sin ky) (hypot (sin ky) (sin kx))) into (/ (sin ky) (hypot (sin ky) (sin kx)))
3.449 * [approximate]: Taking taylor expansion of (/ (sin ky) (hypot (sin ky) (sin kx))) in (ky kx) around 0
3.449 * [taylor]: Taking taylor expansion of (/ (sin ky) (hypot (sin ky) (sin kx))) in kx
3.449 * [taylor]: Taking taylor expansion of (sin ky) in kx
3.449 * [taylor]: Taking taylor expansion of ky in kx
3.449 * [backup-simplify]: Simplify ky into ky
3.449 * [backup-simplify]: Simplify (sin ky) into (sin ky)
3.449 * [backup-simplify]: Simplify (cos ky) into (cos ky)
3.449 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in kx
3.449 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
3.449 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in kx
3.449 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in kx
3.449 * [taylor]: Taking taylor expansion of (sin ky) in kx
3.449 * [taylor]: Taking taylor expansion of ky in kx
3.449 * [backup-simplify]: Simplify ky into ky
3.449 * [backup-simplify]: Simplify (sin ky) into (sin ky)
3.449 * [backup-simplify]: Simplify (cos ky) into (cos ky)
3.449 * [taylor]: Taking taylor expansion of (sin ky) in kx
3.449 * [taylor]: Taking taylor expansion of ky in kx
3.449 * [backup-simplify]: Simplify ky into ky
3.449 * [backup-simplify]: Simplify (sin ky) into (sin ky)
3.449 * [backup-simplify]: Simplify (cos ky) into (cos ky)
3.449 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in kx
3.449 * [taylor]: Taking taylor expansion of (sin kx) in kx
3.449 * [taylor]: Taking taylor expansion of kx in kx
3.449 * [backup-simplify]: Simplify 0 into 0
3.449 * [backup-simplify]: Simplify 1 into 1
3.449 * [taylor]: Taking taylor expansion of (sin kx) in kx
3.450 * [taylor]: Taking taylor expansion of kx in kx
3.450 * [backup-simplify]: Simplify 0 into 0
3.450 * [backup-simplify]: Simplify 1 into 1
3.450 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
3.450 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
3.450 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
3.450 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
3.450 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
3.450 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
3.450 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
3.451 * [backup-simplify]: Simplify (* 0 0) into 0
3.451 * [backup-simplify]: Simplify (+ (pow (sin ky) 2) 0) into (pow (sin ky) 2)
3.451 * [backup-simplify]: Simplify (sqrt (pow (sin ky) 2)) into (sin ky)
3.451 * [backup-simplify]: Simplify (+ 0) into 0
3.452 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
3.453 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.453 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
3.453 * [backup-simplify]: Simplify (+ 0 0) into 0
3.454 * [backup-simplify]: Simplify (+ 0) into 0
3.454 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
3.455 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.456 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
3.456 * [backup-simplify]: Simplify (+ 0 0) into 0
3.456 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
3.457 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.458 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.458 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.459 * [backup-simplify]: Simplify (+ 0 0) into 0
3.459 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin ky) 2)))) into 0
3.459 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
3.459 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
3.459 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
3.459 * [backup-simplify]: Simplify (/ (sin ky) (sin ky)) into 1
3.459 * [taylor]: Taking taylor expansion of (/ (sin ky) (hypot (sin ky) (sin kx))) in ky
3.459 * [taylor]: Taking taylor expansion of (sin ky) in ky
3.459 * [taylor]: Taking taylor expansion of ky in ky
3.459 * [backup-simplify]: Simplify 0 into 0
3.459 * [backup-simplify]: Simplify 1 into 1
3.459 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky
3.459 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
3.459 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky
3.459 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
3.459 * [taylor]: Taking taylor expansion of (sin ky) in ky
3.459 * [taylor]: Taking taylor expansion of ky in ky
3.459 * [backup-simplify]: Simplify 0 into 0
3.460 * [backup-simplify]: Simplify 1 into 1
3.460 * [taylor]: Taking taylor expansion of (sin ky) in ky
3.460 * [taylor]: Taking taylor expansion of ky in ky
3.460 * [backup-simplify]: Simplify 0 into 0
3.460 * [backup-simplify]: Simplify 1 into 1
3.460 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
3.460 * [taylor]: Taking taylor expansion of (sin kx) in ky
3.460 * [taylor]: Taking taylor expansion of kx in ky
3.460 * [backup-simplify]: Simplify kx into kx
3.460 * [backup-simplify]: Simplify (sin kx) into (sin kx)
3.460 * [backup-simplify]: Simplify (cos kx) into (cos kx)
3.460 * [taylor]: Taking taylor expansion of (sin kx) in ky
3.460 * [taylor]: Taking taylor expansion of kx in ky
3.460 * [backup-simplify]: Simplify kx into kx
3.460 * [backup-simplify]: Simplify (sin kx) into (sin kx)
3.460 * [backup-simplify]: Simplify (cos kx) into (cos kx)
3.460 * [backup-simplify]: Simplify (* 0 0) into 0
3.461 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
3.461 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
3.461 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
3.461 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
3.461 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
3.461 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
3.461 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
3.461 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
3.461 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
3.462 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.463 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.463 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.464 * [backup-simplify]: Simplify (+ 0) into 0
3.464 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
3.465 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.465 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
3.466 * [backup-simplify]: Simplify (+ 0 0) into 0
3.466 * [backup-simplify]: Simplify (+ 0) into 0
3.467 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
3.467 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.468 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
3.468 * [backup-simplify]: Simplify (+ 0 0) into 0
3.468 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
3.468 * [backup-simplify]: Simplify (+ 0 0) into 0
3.468 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
3.469 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.469 * [backup-simplify]: Simplify (/ 1 (sin kx)) into (/ 1 (sin kx))
3.469 * [taylor]: Taking taylor expansion of (/ (sin ky) (hypot (sin ky) (sin kx))) in ky
3.469 * [taylor]: Taking taylor expansion of (sin ky) in ky
3.469 * [taylor]: Taking taylor expansion of ky in ky
3.469 * [backup-simplify]: Simplify 0 into 0
3.469 * [backup-simplify]: Simplify 1 into 1
3.469 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky
3.469 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
3.469 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky
3.469 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
3.469 * [taylor]: Taking taylor expansion of (sin ky) in ky
3.469 * [taylor]: Taking taylor expansion of ky in ky
3.469 * [backup-simplify]: Simplify 0 into 0
3.469 * [backup-simplify]: Simplify 1 into 1
3.469 * [taylor]: Taking taylor expansion of (sin ky) in ky
3.469 * [taylor]: Taking taylor expansion of ky in ky
3.469 * [backup-simplify]: Simplify 0 into 0
3.469 * [backup-simplify]: Simplify 1 into 1
3.469 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
3.469 * [taylor]: Taking taylor expansion of (sin kx) in ky
3.469 * [taylor]: Taking taylor expansion of kx in ky
3.469 * [backup-simplify]: Simplify kx into kx
3.469 * [backup-simplify]: Simplify (sin kx) into (sin kx)
3.469 * [backup-simplify]: Simplify (cos kx) into (cos kx)
3.469 * [taylor]: Taking taylor expansion of (sin kx) in ky
3.469 * [taylor]: Taking taylor expansion of kx in ky
3.469 * [backup-simplify]: Simplify kx into kx
3.469 * [backup-simplify]: Simplify (sin kx) into (sin kx)
3.469 * [backup-simplify]: Simplify (cos kx) into (cos kx)
3.470 * [backup-simplify]: Simplify (* 0 0) into 0
3.470 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
3.470 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
3.470 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
3.470 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
3.470 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
3.470 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
3.470 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
3.470 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
3.470 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
3.471 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.471 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.472 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.472 * [backup-simplify]: Simplify (+ 0) into 0
3.472 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
3.473 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.473 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
3.473 * [backup-simplify]: Simplify (+ 0 0) into 0
3.473 * [backup-simplify]: Simplify (+ 0) into 0
3.474 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
3.474 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.475 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
3.475 * [backup-simplify]: Simplify (+ 0 0) into 0
3.475 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
3.475 * [backup-simplify]: Simplify (+ 0 0) into 0
3.475 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
3.476 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.476 * [backup-simplify]: Simplify (/ 1 (sin kx)) into (/ 1 (sin kx))
3.476 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx
3.476 * [taylor]: Taking taylor expansion of (sin kx) in kx
3.476 * [taylor]: Taking taylor expansion of kx in kx
3.476 * [backup-simplify]: Simplify 0 into 0
3.476 * [backup-simplify]: Simplify 1 into 1
3.476 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.477 * [backup-simplify]: Simplify (/ 1 1) into 1
3.477 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.478 * [backup-simplify]: Simplify 0 into 0
3.478 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.478 * [backup-simplify]: Simplify (- (/ 0 (sin kx)) (+ (* (/ 1 (sin kx)) (/ 0 (sin kx))))) into 0
3.478 * [taylor]: Taking taylor expansion of 0 in kx
3.478 * [backup-simplify]: Simplify 0 into 0
3.478 * [backup-simplify]: Simplify 0 into 0
3.479 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
3.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/6
3.480 * [backup-simplify]: Simplify 1/6 into 1/6
3.481 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
3.481 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.482 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.482 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
3.483 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.483 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
3.484 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.484 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
3.484 * [backup-simplify]: Simplify (+ 0 0) into 0
3.485 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.485 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
3.486 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.486 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
3.486 * [backup-simplify]: Simplify (+ 0 0) into 0
3.487 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 (sin kx)))) into 0
3.487 * [backup-simplify]: Simplify (+ 1 0) into 1
3.487 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sin kx))) into (/ 1/2 (sin kx))
3.488 * [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)))))
3.488 * [taylor]: Taking taylor expansion of (- (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))) in kx
3.488 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))) in kx
3.488 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (sin kx))) in kx
3.488 * [taylor]: Taking taylor expansion of 1/6 in kx
3.488 * [backup-simplify]: Simplify 1/6 into 1/6
3.488 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx
3.488 * [taylor]: Taking taylor expansion of (sin kx) in kx
3.488 * [taylor]: Taking taylor expansion of kx in kx
3.488 * [backup-simplify]: Simplify 0 into 0
3.488 * [backup-simplify]: Simplify 1 into 1
3.488 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.489 * [backup-simplify]: Simplify (/ 1 1) into 1
3.489 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow (sin kx) 3))) in kx
3.489 * [taylor]: Taking taylor expansion of 1/2 in kx
3.489 * [backup-simplify]: Simplify 1/2 into 1/2
3.489 * [taylor]: Taking taylor expansion of (/ 1 (pow (sin kx) 3)) in kx
3.489 * [taylor]: Taking taylor expansion of (pow (sin kx) 3) in kx
3.489 * [taylor]: Taking taylor expansion of (sin kx) in kx
3.489 * [taylor]: Taking taylor expansion of kx in kx
3.489 * [backup-simplify]: Simplify 0 into 0
3.489 * [backup-simplify]: Simplify 1 into 1
3.489 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.489 * [backup-simplify]: Simplify (* 1 1) into 1
3.490 * [backup-simplify]: Simplify (* 1 1) into 1
3.490 * [backup-simplify]: Simplify (/ 1 1) into 1
3.490 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.491 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 1)) into 0
3.492 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
3.492 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.493 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
3.494 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0
3.495 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3
3.495 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.496 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/3) (+ (* -1/6 0) (* 0 1)))) into 0
3.496 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.498 * [backup-simplify]: Simplify (+ (* 1 -1/3) (+ (* 0 0) (* -1/6 1))) into -1/2
3.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/2 1)) (* 0 (/ 0 1)))) into 1/2
3.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/2 1)) (* 1/2 (/ 0 1)))) into 0
3.501 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1/2) (+ (* 0 0) (* 0 1)))) into 0
3.502 * [backup-simplify]: Simplify (+ 0 0) into 0
3.502 * [backup-simplify]: Simplify (- 0) into 0
3.502 * [backup-simplify]: Simplify 0 into 0
3.502 * [backup-simplify]: Simplify 0 into 0
3.503 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
3.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/6 1)) (* 1/6 (/ 0 1)))) into 0
3.504 * [backup-simplify]: Simplify 0 into 0
3.504 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
3.505 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
3.507 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
3.507 * [backup-simplify]: Simplify (+ (* 0 -1/6) (+ (* 1 0) (+ (* 0 1) (* -1/6 0)))) into 0
3.508 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
3.508 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.509 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
3.510 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
3.510 * [backup-simplify]: Simplify (+ 0 0) into 0
3.510 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
3.511 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.512 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
3.512 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
3.512 * [backup-simplify]: Simplify (+ 0 0) into 0
3.513 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin kx))))) into 0
3.513 * [backup-simplify]: Simplify (+ 0 0) into 0
3.513 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sin kx)))))) (* 2 (sin kx))) into 0
3.514 * [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
3.514 * [taylor]: Taking taylor expansion of 0 in kx
3.514 * [backup-simplify]: Simplify 0 into 0
3.514 * [backup-simplify]: Simplify 0 into 0
3.515 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
3.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/6
3.516 * [backup-simplify]: Simplify (+ (* 1/6 1/6) (+ (* 0 0) (* 0 1))) into 1/36
3.518 * [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
3.519 * [backup-simplify]: Simplify (+ (* 1 1/120) (+ (* 0 0) (+ (* -1/6 -1/6) (+ (* 0 0) (* 1/120 1))))) into 2/45
3.520 * [backup-simplify]: Simplify (+ (* 1 2/45) (+ (* 0 0) (+ (* -1/6 -1/3) (+ (* 0 0) (* 1/120 1))))) into 13/120
3.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 13/120 1)) (* 0 (/ 0 1)) (* 1/2 (/ -1/2 1)) (* 0 (/ 0 1)))) into 17/120
3.522 * [backup-simplify]: Simplify (+ (* 1/2 17/120) (+ (* 0 0) (+ (* 0 1/2) (+ (* 0 0) (* 0 1))))) into 17/240
3.522 * [backup-simplify]: Simplify (+ 1/36 17/240) into 71/720
3.523 * [backup-simplify]: Simplify (- 71/720) into -71/720
3.523 * [backup-simplify]: Simplify -71/720 into -71/720
3.523 * [backup-simplify]: Simplify 0 into 0
3.525 * [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
3.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/120 1)) (* 0 (/ 0 1)) (* 1/6 (/ -1/6 1)) (* 0 (/ 0 1)))) into 7/360
3.526 * [backup-simplify]: Simplify 7/360 into 7/360
3.527 * [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))))
3.527 * [backup-simplify]: Simplify (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) into (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx))))
3.527 * [approximate]: Taking taylor expansion of (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in (ky kx) around 0
3.527 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in kx
3.527 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
3.527 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
3.527 * [taylor]: Taking taylor expansion of ky in kx
3.527 * [backup-simplify]: Simplify ky into ky
3.527 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
3.527 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.527 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
3.527 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in kx
3.527 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
3.527 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in kx
3.527 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in kx
3.527 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
3.527 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
3.527 * [taylor]: Taking taylor expansion of ky in kx
3.527 * [backup-simplify]: Simplify ky into ky
3.527 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
3.527 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.527 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
3.527 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
3.527 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
3.528 * [taylor]: Taking taylor expansion of ky in kx
3.528 * [backup-simplify]: Simplify ky into ky
3.528 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
3.528 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.528 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
3.528 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in kx
3.528 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
3.528 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
3.528 * [taylor]: Taking taylor expansion of kx in kx
3.528 * [backup-simplify]: Simplify 0 into 0
3.528 * [backup-simplify]: Simplify 1 into 1
3.528 * [backup-simplify]: Simplify (/ 1 1) into 1
3.528 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
3.528 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
3.528 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
3.528 * [taylor]: Taking taylor expansion of kx in kx
3.528 * [backup-simplify]: Simplify 0 into 0
3.528 * [backup-simplify]: Simplify 1 into 1
3.528 * [backup-simplify]: Simplify (/ 1 1) into 1
3.529 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
3.529 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
3.529 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
3.529 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
3.529 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
3.529 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
3.529 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
3.529 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
3.529 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
3.529 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
3.529 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
3.530 * [backup-simplify]: Simplify (+ 0) into 0
3.530 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
3.530 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
3.530 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.531 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
3.531 * [backup-simplify]: Simplify (+ 0 0) into 0
3.531 * [backup-simplify]: Simplify (+ 0) into 0
3.532 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
3.532 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
3.532 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.532 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
3.533 * [backup-simplify]: Simplify (+ 0 0) into 0
3.533 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
3.533 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
3.533 * [backup-simplify]: Simplify (+ 0 0) into 0
3.533 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
3.533 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
3.533 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
3.533 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
3.534 * [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)))
3.534 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in ky
3.534 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
3.534 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
3.534 * [taylor]: Taking taylor expansion of ky in ky
3.534 * [backup-simplify]: Simplify 0 into 0
3.534 * [backup-simplify]: Simplify 1 into 1
3.534 * [backup-simplify]: Simplify (/ 1 1) into 1
3.534 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.534 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky
3.534 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
3.534 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky
3.534 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
3.534 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
3.534 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
3.534 * [taylor]: Taking taylor expansion of ky in ky
3.534 * [backup-simplify]: Simplify 0 into 0
3.534 * [backup-simplify]: Simplify 1 into 1
3.534 * [backup-simplify]: Simplify (/ 1 1) into 1
3.535 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.535 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
3.535 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
3.535 * [taylor]: Taking taylor expansion of ky in ky
3.535 * [backup-simplify]: Simplify 0 into 0
3.535 * [backup-simplify]: Simplify 1 into 1
3.535 * [backup-simplify]: Simplify (/ 1 1) into 1
3.535 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.535 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
3.535 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
3.535 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
3.535 * [taylor]: Taking taylor expansion of kx in ky
3.535 * [backup-simplify]: Simplify kx into kx
3.535 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
3.535 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
3.535 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
3.535 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
3.535 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
3.535 * [taylor]: Taking taylor expansion of kx in ky
3.535 * [backup-simplify]: Simplify kx into kx
3.535 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
3.535 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
3.535 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
3.535 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
3.535 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
3.536 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
3.536 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
3.536 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
3.536 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
3.536 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
3.536 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
3.536 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
3.536 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
3.536 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
3.536 * [backup-simplify]: Simplify (+ 0) into 0
3.537 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
3.537 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
3.537 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.538 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
3.538 * [backup-simplify]: Simplify (+ 0 0) into 0
3.538 * [backup-simplify]: Simplify (+ 0) into 0
3.538 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
3.539 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
3.539 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.539 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
3.540 * [backup-simplify]: Simplify (+ 0 0) into 0
3.540 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
3.540 * [backup-simplify]: Simplify (+ 0 0) into 0
3.540 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
3.540 * [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)))
3.540 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in ky
3.540 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
3.540 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
3.540 * [taylor]: Taking taylor expansion of ky in ky
3.540 * [backup-simplify]: Simplify 0 into 0
3.540 * [backup-simplify]: Simplify 1 into 1
3.541 * [backup-simplify]: Simplify (/ 1 1) into 1
3.541 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.541 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky
3.541 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
3.541 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky
3.541 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
3.541 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
3.541 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
3.541 * [taylor]: Taking taylor expansion of ky in ky
3.541 * [backup-simplify]: Simplify 0 into 0
3.541 * [backup-simplify]: Simplify 1 into 1
3.541 * [backup-simplify]: Simplify (/ 1 1) into 1
3.541 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.541 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
3.541 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
3.541 * [taylor]: Taking taylor expansion of ky in ky
3.541 * [backup-simplify]: Simplify 0 into 0
3.541 * [backup-simplify]: Simplify 1 into 1
3.541 * [backup-simplify]: Simplify (/ 1 1) into 1
3.542 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.542 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
3.542 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
3.542 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
3.542 * [taylor]: Taking taylor expansion of kx in ky
3.542 * [backup-simplify]: Simplify kx into kx
3.542 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
3.542 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
3.542 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
3.542 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
3.542 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
3.542 * [taylor]: Taking taylor expansion of kx in ky
3.542 * [backup-simplify]: Simplify kx into kx
3.542 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
3.542 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
3.542 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
3.542 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
3.542 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
3.542 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
3.542 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
3.542 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
3.542 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
3.542 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
3.542 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
3.543 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
3.543 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
3.543 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
3.543 * [backup-simplify]: Simplify (+ 0) into 0
3.544 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
3.544 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
3.544 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.544 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
3.545 * [backup-simplify]: Simplify (+ 0 0) into 0
3.545 * [backup-simplify]: Simplify (+ 0) into 0
3.545 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
3.545 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
3.546 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.546 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
3.546 * [backup-simplify]: Simplify (+ 0 0) into 0
3.546 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
3.547 * [backup-simplify]: Simplify (+ 0 0) into 0
3.547 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
3.547 * [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)))
3.547 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) in kx
3.547 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in kx
3.547 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx
3.547 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx
3.547 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx
3.547 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
3.547 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
3.547 * [taylor]: Taking taylor expansion of kx in kx
3.547 * [backup-simplify]: Simplify 0 into 0
3.547 * [backup-simplify]: Simplify 1 into 1
3.548 * [backup-simplify]: Simplify (/ 1 1) into 1
3.548 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
3.548 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx
3.548 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
3.548 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
3.548 * [taylor]: Taking taylor expansion of ky in kx
3.548 * [backup-simplify]: Simplify ky into ky
3.548 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
3.548 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.548 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
3.548 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
3.548 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
3.548 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
3.548 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
3.548 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
3.548 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
3.548 * [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)))
3.549 * [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))))
3.549 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
3.549 * [backup-simplify]: Simplify (+ 0) into 0
3.549 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
3.549 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
3.550 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.550 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
3.550 * [backup-simplify]: Simplify (+ 0 0) into 0
3.551 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
3.551 * [backup-simplify]: Simplify (+ 0 0) into 0
3.551 * [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
3.551 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
3.551 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
3.551 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
3.551 * [taylor]: Taking taylor expansion of ky in kx
3.551 * [backup-simplify]: Simplify ky into ky
3.551 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
3.551 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.551 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
3.552 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
3.552 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
3.552 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
3.552 * [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)))
3.552 * [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)))
3.552 * [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
3.552 * [taylor]: Taking taylor expansion of 0 in kx
3.553 * [backup-simplify]: Simplify 0 into 0
3.553 * [backup-simplify]: Simplify 0 into 0
3.553 * [backup-simplify]: Simplify (+ 0) into 0
3.553 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
3.553 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
3.554 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.554 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
3.554 * [backup-simplify]: Simplify (+ 0 0) into 0
3.554 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) 0) (* 0 (sin (/ 1 ky)))) into 0
3.554 * [backup-simplify]: Simplify 0 into 0
3.555 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
3.555 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.556 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
3.556 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
3.556 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.557 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
3.557 * [backup-simplify]: Simplify (+ 0 0) into 0
3.558 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.558 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
3.558 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
3.559 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.559 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
3.559 * [backup-simplify]: Simplify (+ 0 0) into 0
3.560 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
3.560 * [backup-simplify]: Simplify (+ 0 0) into 0
3.560 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
3.561 * [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
3.561 * [taylor]: Taking taylor expansion of 0 in kx
3.561 * [backup-simplify]: Simplify 0 into 0
3.561 * [backup-simplify]: Simplify 0 into 0
3.561 * [backup-simplify]: Simplify 0 into 0
3.562 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.562 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
3.562 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
3.563 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.563 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
3.563 * [backup-simplify]: Simplify (+ 0 0) into 0
3.563 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
3.564 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.564 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
3.565 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
3.565 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.565 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
3.566 * [backup-simplify]: Simplify (+ 0 0) into 0
3.566 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
3.566 * [backup-simplify]: Simplify (+ 0 0) into 0
3.567 * [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
3.567 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
3.568 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
3.568 * [backup-simplify]: Simplify 0 into 0
3.568 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 ky)))))) into 0
3.569 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
3.569 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.569 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
3.570 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
3.571 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
3.571 * [backup-simplify]: Simplify (+ 0 0) into 0
3.571 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
3.572 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.572 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
3.573 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
3.573 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
3.574 * [backup-simplify]: Simplify (+ 0 0) into 0
3.574 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 kx)))))) into 0
3.574 * [backup-simplify]: Simplify (+ 0 0) into 0
3.575 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
3.576 * [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
3.576 * [taylor]: Taking taylor expansion of 0 in kx
3.576 * [backup-simplify]: Simplify 0 into 0
3.576 * [backup-simplify]: Simplify 0 into 0
3.576 * [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))
3.576 * [backup-simplify]: Simplify (/ (sin (/ 1 (- ky))) (hypot (sin (/ 1 (- ky))) (sin (/ 1 (- kx))))) into (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx))))
3.577 * [approximate]: Taking taylor expansion of (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in (ky kx) around 0
3.577 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in kx
3.577 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
3.577 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
3.577 * [taylor]: Taking taylor expansion of -1 in kx
3.577 * [backup-simplify]: Simplify -1 into -1
3.577 * [taylor]: Taking taylor expansion of ky in kx
3.577 * [backup-simplify]: Simplify ky into ky
3.577 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
3.577 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.577 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
3.577 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in kx
3.577 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
3.577 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in kx
3.577 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in kx
3.577 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
3.577 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
3.577 * [taylor]: Taking taylor expansion of -1 in kx
3.577 * [backup-simplify]: Simplify -1 into -1
3.577 * [taylor]: Taking taylor expansion of ky in kx
3.577 * [backup-simplify]: Simplify ky into ky
3.577 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
3.577 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.577 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
3.577 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
3.577 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
3.577 * [taylor]: Taking taylor expansion of -1 in kx
3.577 * [backup-simplify]: Simplify -1 into -1
3.577 * [taylor]: Taking taylor expansion of ky in kx
3.577 * [backup-simplify]: Simplify ky into ky
3.577 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
3.577 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.577 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
3.577 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in kx
3.577 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
3.577 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
3.577 * [taylor]: Taking taylor expansion of -1 in kx
3.577 * [backup-simplify]: Simplify -1 into -1
3.577 * [taylor]: Taking taylor expansion of kx in kx
3.577 * [backup-simplify]: Simplify 0 into 0
3.578 * [backup-simplify]: Simplify 1 into 1
3.578 * [backup-simplify]: Simplify (/ -1 1) into -1
3.578 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
3.578 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
3.578 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
3.578 * [taylor]: Taking taylor expansion of -1 in kx
3.578 * [backup-simplify]: Simplify -1 into -1
3.578 * [taylor]: Taking taylor expansion of kx in kx
3.578 * [backup-simplify]: Simplify 0 into 0
3.578 * [backup-simplify]: Simplify 1 into 1
3.578 * [backup-simplify]: Simplify (/ -1 1) into -1
3.578 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
3.578 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
3.579 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
3.579 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
3.579 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
3.579 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
3.579 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
3.579 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
3.579 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
3.579 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
3.579 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
3.579 * [backup-simplify]: Simplify (+ 0) into 0
3.580 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
3.580 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
3.580 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.581 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
3.581 * [backup-simplify]: Simplify (+ 0 0) into 0
3.581 * [backup-simplify]: Simplify (+ 0) into 0
3.581 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
3.582 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
3.582 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.582 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
3.583 * [backup-simplify]: Simplify (+ 0 0) into 0
3.583 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
3.583 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
3.583 * [backup-simplify]: Simplify (+ 0 0) into 0
3.583 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
3.583 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
3.583 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
3.583 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
3.583 * [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)))
3.583 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in ky
3.584 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
3.584 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
3.584 * [taylor]: Taking taylor expansion of -1 in ky
3.584 * [backup-simplify]: Simplify -1 into -1
3.584 * [taylor]: Taking taylor expansion of ky in ky
3.584 * [backup-simplify]: Simplify 0 into 0
3.584 * [backup-simplify]: Simplify 1 into 1
3.584 * [backup-simplify]: Simplify (/ -1 1) into -1
3.584 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.584 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in ky
3.584 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
3.584 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in ky
3.584 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
3.584 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
3.584 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
3.584 * [taylor]: Taking taylor expansion of -1 in ky
3.584 * [backup-simplify]: Simplify -1 into -1
3.584 * [taylor]: Taking taylor expansion of ky in ky
3.584 * [backup-simplify]: Simplify 0 into 0
3.584 * [backup-simplify]: Simplify 1 into 1
3.584 * [backup-simplify]: Simplify (/ -1 1) into -1
3.584 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.585 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
3.585 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
3.585 * [taylor]: Taking taylor expansion of -1 in ky
3.585 * [backup-simplify]: Simplify -1 into -1
3.585 * [taylor]: Taking taylor expansion of ky in ky
3.585 * [backup-simplify]: Simplify 0 into 0
3.585 * [backup-simplify]: Simplify 1 into 1
3.585 * [backup-simplify]: Simplify (/ -1 1) into -1
3.585 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.585 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
3.585 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
3.585 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
3.585 * [taylor]: Taking taylor expansion of -1 in ky
3.585 * [backup-simplify]: Simplify -1 into -1
3.585 * [taylor]: Taking taylor expansion of kx in ky
3.585 * [backup-simplify]: Simplify kx into kx
3.585 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
3.585 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
3.585 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
3.585 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
3.585 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
3.585 * [taylor]: Taking taylor expansion of -1 in ky
3.585 * [backup-simplify]: Simplify -1 into -1
3.585 * [taylor]: Taking taylor expansion of kx in ky
3.585 * [backup-simplify]: Simplify kx into kx
3.585 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
3.585 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
3.585 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
3.585 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
3.586 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
3.586 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
3.586 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
3.586 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
3.586 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
3.586 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
3.586 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
3.586 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
3.586 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
3.586 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
3.587 * [backup-simplify]: Simplify (+ 0) into 0
3.587 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
3.587 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
3.587 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.588 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
3.588 * [backup-simplify]: Simplify (+ 0 0) into 0
3.588 * [backup-simplify]: Simplify (+ 0) into 0
3.588 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
3.589 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
3.589 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.589 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
3.590 * [backup-simplify]: Simplify (+ 0 0) into 0
3.590 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
3.590 * [backup-simplify]: Simplify (+ 0 0) into 0
3.590 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
3.590 * [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)))
3.590 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in ky
3.590 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
3.590 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
3.590 * [taylor]: Taking taylor expansion of -1 in ky
3.590 * [backup-simplify]: Simplify -1 into -1
3.590 * [taylor]: Taking taylor expansion of ky in ky
3.590 * [backup-simplify]: Simplify 0 into 0
3.590 * [backup-simplify]: Simplify 1 into 1
3.591 * [backup-simplify]: Simplify (/ -1 1) into -1
3.591 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.591 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in ky
3.591 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
3.591 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in ky
3.591 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
3.591 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
3.591 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
3.591 * [taylor]: Taking taylor expansion of -1 in ky
3.591 * [backup-simplify]: Simplify -1 into -1
3.591 * [taylor]: Taking taylor expansion of ky in ky
3.591 * [backup-simplify]: Simplify 0 into 0
3.591 * [backup-simplify]: Simplify 1 into 1
3.591 * [backup-simplify]: Simplify (/ -1 1) into -1
3.591 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.591 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
3.591 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
3.591 * [taylor]: Taking taylor expansion of -1 in ky
3.591 * [backup-simplify]: Simplify -1 into -1
3.591 * [taylor]: Taking taylor expansion of ky in ky
3.591 * [backup-simplify]: Simplify 0 into 0
3.591 * [backup-simplify]: Simplify 1 into 1
3.592 * [backup-simplify]: Simplify (/ -1 1) into -1
3.592 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.592 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
3.592 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
3.592 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
3.592 * [taylor]: Taking taylor expansion of -1 in ky
3.592 * [backup-simplify]: Simplify -1 into -1
3.592 * [taylor]: Taking taylor expansion of kx in ky
3.592 * [backup-simplify]: Simplify kx into kx
3.592 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
3.592 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
3.592 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
3.592 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
3.592 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
3.592 * [taylor]: Taking taylor expansion of -1 in ky
3.592 * [backup-simplify]: Simplify -1 into -1
3.592 * [taylor]: Taking taylor expansion of kx in ky
3.592 * [backup-simplify]: Simplify kx into kx
3.592 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
3.592 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
3.592 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
3.592 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
3.592 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
3.592 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
3.592 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
3.592 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
3.593 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
3.593 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
3.593 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
3.593 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
3.593 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
3.593 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
3.593 * [backup-simplify]: Simplify (+ 0) into 0
3.594 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
3.594 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
3.594 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.596 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
3.597 * [backup-simplify]: Simplify (+ 0 0) into 0
3.597 * [backup-simplify]: Simplify (+ 0) into 0
3.597 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
3.597 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
3.598 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.598 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
3.598 * [backup-simplify]: Simplify (+ 0 0) into 0
3.598 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
3.599 * [backup-simplify]: Simplify (+ 0 0) into 0
3.599 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
3.599 * [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)))
3.599 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) in kx
3.599 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in kx
3.599 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx
3.599 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx
3.599 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx
3.599 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
3.599 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
3.599 * [taylor]: Taking taylor expansion of -1 in kx
3.599 * [backup-simplify]: Simplify -1 into -1
3.599 * [taylor]: Taking taylor expansion of kx in kx
3.599 * [backup-simplify]: Simplify 0 into 0
3.599 * [backup-simplify]: Simplify 1 into 1
3.600 * [backup-simplify]: Simplify (/ -1 1) into -1
3.600 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
3.600 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx
3.600 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
3.600 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
3.600 * [taylor]: Taking taylor expansion of -1 in kx
3.600 * [backup-simplify]: Simplify -1 into -1
3.600 * [taylor]: Taking taylor expansion of ky in kx
3.600 * [backup-simplify]: Simplify ky into ky
3.600 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
3.600 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.600 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
3.600 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
3.600 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
3.600 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
3.600 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
3.600 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
3.600 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
3.600 * [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)))
3.601 * [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))))
3.601 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
3.601 * [backup-simplify]: Simplify (+ 0) into 0
3.601 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
3.601 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
3.602 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.602 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
3.602 * [backup-simplify]: Simplify (+ 0 0) into 0
3.602 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
3.603 * [backup-simplify]: Simplify (+ 0 0) into 0
3.603 * [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
3.603 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
3.603 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
3.603 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
3.603 * [taylor]: Taking taylor expansion of -1 in kx
3.603 * [backup-simplify]: Simplify -1 into -1
3.603 * [taylor]: Taking taylor expansion of ky in kx
3.603 * [backup-simplify]: Simplify ky into ky
3.603 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
3.603 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.603 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
3.603 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
3.604 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
3.604 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
3.604 * [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)))
3.604 * [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)))
3.604 * [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
3.604 * [taylor]: Taking taylor expansion of 0 in kx
3.604 * [backup-simplify]: Simplify 0 into 0
3.604 * [backup-simplify]: Simplify 0 into 0
3.605 * [backup-simplify]: Simplify (+ 0) into 0
3.605 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
3.605 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
3.606 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.606 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
3.606 * [backup-simplify]: Simplify (+ 0 0) into 0
3.606 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) 0) (* 0 (sin (/ -1 ky)))) into 0
3.607 * [backup-simplify]: Simplify 0 into 0
3.607 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
3.607 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.608 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
3.608 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
3.608 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.609 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
3.609 * [backup-simplify]: Simplify (+ 0 0) into 0
3.610 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.610 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
3.610 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
3.611 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.611 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
3.611 * [backup-simplify]: Simplify (+ 0 0) into 0
3.612 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
3.612 * [backup-simplify]: Simplify (+ 0 0) into 0
3.612 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
3.613 * [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
3.613 * [taylor]: Taking taylor expansion of 0 in kx
3.613 * [backup-simplify]: Simplify 0 into 0
3.613 * [backup-simplify]: Simplify 0 into 0
3.613 * [backup-simplify]: Simplify 0 into 0
3.614 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.614 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
3.614 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
3.615 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.615 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
3.616 * [backup-simplify]: Simplify (+ 0 0) into 0
3.616 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
3.616 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.617 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
3.617 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
3.618 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.618 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
3.618 * [backup-simplify]: Simplify (+ 0 0) into 0
3.619 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
3.619 * [backup-simplify]: Simplify (+ 0 0) into 0
3.619 * [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
3.620 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
3.620 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
3.620 * [backup-simplify]: Simplify 0 into 0
3.621 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 ky)))))) into 0
3.621 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
3.622 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.622 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
3.623 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
3.623 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
3.624 * [backup-simplify]: Simplify (+ 0 0) into 0
3.624 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
3.625 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.625 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
3.626 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
3.626 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
3.627 * [backup-simplify]: Simplify (+ 0 0) into 0
3.627 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 kx)))))) into 0
3.627 * [backup-simplify]: Simplify (+ 0 0) into 0
3.628 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
3.629 * [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
3.629 * [taylor]: Taking taylor expansion of 0 in kx
3.629 * [backup-simplify]: Simplify 0 into 0
3.629 * [backup-simplify]: Simplify 0 into 0
3.629 * [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))
3.629 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 2)
3.629 * [backup-simplify]: Simplify (hypot (sin ky) (sin kx)) into (hypot (sin ky) (sin kx))
3.629 * [approximate]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in (ky kx) around 0
3.629 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in kx
3.629 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
3.629 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in kx
3.629 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) 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)
3.629 * [taylor]: Taking taylor expansion of (sin ky) in kx
3.629 * [taylor]: Taking taylor expansion of ky in kx
3.630 * [backup-simplify]: Simplify ky into ky
3.630 * [backup-simplify]: Simplify (sin ky) into (sin ky)
3.630 * [backup-simplify]: Simplify (cos ky) into (cos ky)
3.630 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in kx
3.630 * [taylor]: Taking taylor expansion of (sin kx) in kx
3.630 * [taylor]: Taking taylor expansion of kx in kx
3.630 * [backup-simplify]: Simplify 0 into 0
3.630 * [backup-simplify]: Simplify 1 into 1
3.630 * [taylor]: Taking taylor expansion of (sin kx) in kx
3.630 * [taylor]: Taking taylor expansion of kx in kx
3.630 * [backup-simplify]: Simplify 0 into 0
3.630 * [backup-simplify]: Simplify 1 into 1
3.630 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
3.630 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
3.630 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
3.630 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
3.630 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
3.630 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
3.630 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
3.630 * [backup-simplify]: Simplify (* 0 0) into 0
3.630 * [backup-simplify]: Simplify (+ (pow (sin ky) 2) 0) into (pow (sin ky) 2)
3.630 * [backup-simplify]: Simplify (sqrt (pow (sin ky) 2)) into (sin ky)
3.631 * [backup-simplify]: Simplify (+ 0) into 0
3.631 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
3.631 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.632 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
3.632 * [backup-simplify]: Simplify (+ 0 0) into 0
3.632 * [backup-simplify]: Simplify (+ 0) into 0
3.633 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
3.633 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.633 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
3.634 * [backup-simplify]: Simplify (+ 0 0) into 0
3.634 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
3.634 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.634 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.635 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.635 * [backup-simplify]: Simplify (+ 0 0) into 0
3.635 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin ky) 2)))) into 0
3.635 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky
3.635 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
3.635 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky
3.635 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
3.635 * [taylor]: Taking taylor expansion of (sin ky) in ky
3.635 * [taylor]: Taking taylor expansion of ky in ky
3.635 * [backup-simplify]: Simplify 0 into 0
3.635 * [backup-simplify]: Simplify 1 into 1
3.635 * [taylor]: Taking taylor expansion of (sin ky) in ky
3.635 * [taylor]: Taking taylor expansion of ky in ky
3.635 * [backup-simplify]: Simplify 0 into 0
3.635 * [backup-simplify]: Simplify 1 into 1
3.635 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
3.636 * [taylor]: Taking taylor expansion of (sin kx) in ky
3.636 * [taylor]: Taking taylor expansion of kx in ky
3.636 * [backup-simplify]: Simplify kx into kx
3.636 * [backup-simplify]: Simplify (sin kx) into (sin kx)
3.636 * [backup-simplify]: Simplify (cos kx) into (cos kx)
3.636 * [taylor]: Taking taylor expansion of (sin kx) in ky
3.636 * [taylor]: Taking taylor expansion of kx in ky
3.636 * [backup-simplify]: Simplify kx into kx
3.636 * [backup-simplify]: Simplify (sin kx) into (sin kx)
3.636 * [backup-simplify]: Simplify (cos kx) into (cos kx)
3.636 * [backup-simplify]: Simplify (* 0 0) into 0
3.636 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
3.636 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
3.636 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
3.636 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
3.636 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
3.636 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
3.636 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
3.636 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
3.636 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
3.637 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.637 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.638 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.638 * [backup-simplify]: Simplify (+ 0) into 0
3.638 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
3.639 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.639 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
3.639 * [backup-simplify]: Simplify (+ 0 0) into 0
3.639 * [backup-simplify]: Simplify (+ 0) into 0
3.640 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
3.640 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.641 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
3.641 * [backup-simplify]: Simplify (+ 0 0) into 0
3.641 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
3.641 * [backup-simplify]: Simplify (+ 0 0) into 0
3.641 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
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
3.642 * [backup-simplify]: Simplify (sin kx) into (sin kx)
3.642 * [backup-simplify]: Simplify (cos kx) into (cos kx)
3.642 * [taylor]: Taking taylor expansion of (sin kx) in ky
3.642 * [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)
3.642 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
3.642 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
3.642 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
3.643 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.643 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.644 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.644 * [backup-simplify]: Simplify (+ 0) into 0
3.644 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
3.645 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.645 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
3.645 * [backup-simplify]: Simplify (+ 0 0) into 0
3.646 * [backup-simplify]: Simplify (+ 0) into 0
3.646 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
3.646 * [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
3.647 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
3.647 * [backup-simplify]: Simplify (+ 0 0) into 0
3.647 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
3.647 * [taylor]: Taking taylor expansion of (sin kx) in kx
3.647 * [taylor]: Taking taylor expansion of kx in kx
3.647 * [backup-simplify]: Simplify 0 into 0
3.647 * [backup-simplify]: Simplify 1 into 1
3.647 * [backup-simplify]: Simplify 0 into 0
3.647 * [taylor]: Taking taylor expansion of 0 in kx
3.647 * [backup-simplify]: Simplify 0 into 0
3.647 * [backup-simplify]: Simplify 0 into 0
3.648 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.648 * [backup-simplify]: Simplify 1 into 1
3.648 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.649 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.649 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
3.650 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.650 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
3.651 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.651 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
3.651 * [backup-simplify]: Simplify (+ 0 0) into 0
3.652 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.652 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
3.653 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.653 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
3.653 * [backup-simplify]: Simplify (+ 0 0) into 0
3.654 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 (sin kx)))) into 0
3.654 * [backup-simplify]: Simplify (+ 1 0) into 1
3.655 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sin kx))) into (/ 1/2 (sin kx))
3.655 * [taylor]: Taking taylor expansion of (/ 1/2 (sin kx)) in kx
3.655 * [taylor]: Taking taylor expansion of 1/2 in kx
3.655 * [backup-simplify]: Simplify 1/2 into 1/2
3.655 * [taylor]: Taking taylor expansion of (sin kx) in kx
3.655 * [taylor]: Taking taylor expansion of kx in kx
3.655 * [backup-simplify]: Simplify 0 into 0
3.655 * [backup-simplify]: Simplify 1 into 1
3.655 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.655 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.656 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.656 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.657 * [backup-simplify]: Simplify 0 into 0
3.657 * [backup-simplify]: Simplify 0 into 0
3.657 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.657 * [backup-simplify]: Simplify 0 into 0
3.658 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
3.659 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
3.660 * [backup-simplify]: Simplify (+ (* 0 -1/6) (+ (* 1 0) (+ (* 0 1) (* -1/6 0)))) into 0
3.660 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
3.661 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.662 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
3.662 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
3.662 * [backup-simplify]: Simplify (+ 0 0) into 0
3.663 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
3.663 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.664 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
3.665 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
3.665 * [backup-simplify]: Simplify (+ 0 0) into 0
3.665 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin kx))))) into 0
3.666 * [backup-simplify]: Simplify (+ 0 0) into 0
3.666 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sin kx)))))) (* 2 (sin kx))) into 0
3.666 * [taylor]: Taking taylor expansion of 0 in kx
3.666 * [backup-simplify]: Simplify 0 into 0
3.666 * [backup-simplify]: Simplify 0 into 0
3.667 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
3.668 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/12
3.668 * [backup-simplify]: Simplify 1/12 into 1/12
3.668 * [backup-simplify]: Simplify 0 into 0
3.669 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
3.669 * [backup-simplify]: Simplify -1/6 into -1/6
3.669 * [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)))
3.669 * [backup-simplify]: Simplify (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) into (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))
3.669 * [approximate]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in (ky kx) around 0
3.669 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in kx
3.669 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
3.669 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in kx
3.669 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in kx
3.669 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
3.669 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
3.669 * [taylor]: Taking taylor expansion of ky in kx
3.669 * [backup-simplify]: Simplify ky into ky
3.669 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
3.669 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.669 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
3.669 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
3.669 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
3.669 * [taylor]: Taking taylor expansion of ky in kx
3.669 * [backup-simplify]: Simplify ky into ky
3.669 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
3.669 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.669 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
3.669 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in kx
3.670 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
3.670 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
3.670 * [taylor]: Taking taylor expansion of kx in kx
3.670 * [backup-simplify]: Simplify 0 into 0
3.670 * [backup-simplify]: Simplify 1 into 1
3.670 * [backup-simplify]: Simplify (/ 1 1) into 1
3.670 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
3.670 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
3.670 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
3.670 * [taylor]: Taking taylor expansion of kx in kx
3.670 * [backup-simplify]: Simplify 0 into 0
3.670 * [backup-simplify]: Simplify 1 into 1
3.670 * [backup-simplify]: Simplify (/ 1 1) into 1
3.670 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
3.671 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
3.671 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
3.671 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
3.671 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
3.671 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
3.671 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
3.671 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
3.671 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
3.671 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
3.671 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
3.672 * [backup-simplify]: Simplify (+ 0) into 0
3.672 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
3.672 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
3.672 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.673 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
3.673 * [backup-simplify]: Simplify (+ 0 0) into 0
3.673 * [backup-simplify]: Simplify (+ 0) into 0
3.674 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
3.674 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
3.674 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.674 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
3.675 * [backup-simplify]: Simplify (+ 0 0) into 0
3.675 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
3.675 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
3.675 * [backup-simplify]: Simplify (+ 0 0) into 0
3.675 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
3.675 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky
3.676 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
3.676 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky
3.676 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
3.676 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
3.676 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
3.676 * [taylor]: Taking taylor expansion of ky in ky
3.676 * [backup-simplify]: Simplify 0 into 0
3.676 * [backup-simplify]: Simplify 1 into 1
3.676 * [backup-simplify]: Simplify (/ 1 1) into 1
3.676 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.676 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
3.676 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
3.676 * [taylor]: Taking taylor expansion of ky in ky
3.676 * [backup-simplify]: Simplify 0 into 0
3.676 * [backup-simplify]: Simplify 1 into 1
3.676 * [backup-simplify]: Simplify (/ 1 1) into 1
3.676 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.676 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
3.676 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
3.676 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
3.676 * [taylor]: Taking taylor expansion of kx in ky
3.676 * [backup-simplify]: Simplify kx into kx
3.676 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
3.677 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
3.677 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
3.677 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
3.677 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
3.677 * [taylor]: Taking taylor expansion of kx in ky
3.677 * [backup-simplify]: Simplify kx into kx
3.677 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
3.677 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
3.677 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
3.677 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
3.677 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
3.677 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
3.677 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
3.677 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
3.677 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
3.677 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
3.677 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
3.677 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
3.677 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
3.678 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
3.678 * [backup-simplify]: Simplify (+ 0) into 0
3.678 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
3.678 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
3.679 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.679 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
3.679 * [backup-simplify]: Simplify (+ 0 0) into 0
3.680 * [backup-simplify]: Simplify (+ 0) into 0
3.680 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
3.680 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
3.680 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.681 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
3.681 * [backup-simplify]: Simplify (+ 0 0) into 0
3.681 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
3.681 * [backup-simplify]: Simplify (+ 0 0) into 0
3.681 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
3.682 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky
3.682 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
3.682 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky
3.682 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
3.682 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
3.682 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
3.682 * [taylor]: Taking taylor expansion of ky in ky
3.682 * [backup-simplify]: Simplify 0 into 0
3.682 * [backup-simplify]: Simplify 1 into 1
3.682 * [backup-simplify]: Simplify (/ 1 1) into 1
3.682 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.682 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
3.682 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
3.682 * [taylor]: Taking taylor expansion of ky in ky
3.682 * [backup-simplify]: Simplify 0 into 0
3.682 * [backup-simplify]: Simplify 1 into 1
3.682 * [backup-simplify]: Simplify (/ 1 1) into 1
3.682 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.682 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
3.682 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
3.682 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
3.682 * [taylor]: Taking taylor expansion of kx in ky
3.682 * [backup-simplify]: Simplify kx into kx
3.682 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
3.683 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
3.683 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
3.683 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
3.683 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
3.683 * [taylor]: Taking taylor expansion of kx in ky
3.683 * [backup-simplify]: Simplify kx into kx
3.683 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
3.683 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
3.683 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
3.683 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
3.683 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
3.683 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
3.683 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
3.683 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
3.683 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
3.683 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
3.683 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
3.683 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
3.684 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
3.684 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
3.684 * [backup-simplify]: Simplify (+ 0) into 0
3.684 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
3.684 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
3.685 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.685 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
3.685 * [backup-simplify]: Simplify (+ 0 0) into 0
3.686 * [backup-simplify]: Simplify (+ 0) into 0
3.686 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
3.686 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
3.687 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.687 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
3.688 * [backup-simplify]: Simplify (+ 0 0) into 0
3.689 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
3.689 * [backup-simplify]: Simplify (+ 0 0) into 0
3.689 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
3.689 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx
3.689 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx
3.689 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx
3.689 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
3.689 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
3.689 * [taylor]: Taking taylor expansion of kx in kx
3.689 * [backup-simplify]: Simplify 0 into 0
3.689 * [backup-simplify]: Simplify 1 into 1
3.690 * [backup-simplify]: Simplify (/ 1 1) into 1
3.690 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
3.690 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx
3.690 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
3.690 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
3.690 * [taylor]: Taking taylor expansion of ky in kx
3.690 * [backup-simplify]: Simplify ky into ky
3.690 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
3.690 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.690 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
3.690 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
3.690 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
3.690 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
3.690 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
3.690 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
3.690 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
3.690 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
3.691 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
3.691 * [backup-simplify]: Simplify (+ 0) into 0
3.691 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
3.691 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
3.692 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.692 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
3.692 * [backup-simplify]: Simplify (+ 0 0) into 0
3.692 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
3.693 * [backup-simplify]: Simplify (+ 0 0) into 0
3.693 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
3.693 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
3.693 * [taylor]: Taking taylor expansion of 0 in kx
3.693 * [backup-simplify]: Simplify 0 into 0
3.693 * [backup-simplify]: Simplify 0 into 0
3.693 * [backup-simplify]: Simplify 0 into 0
3.693 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
3.694 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.694 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
3.694 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
3.695 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.695 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
3.696 * [backup-simplify]: Simplify (+ 0 0) into 0
3.696 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.697 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
3.697 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
3.697 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.697 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
3.698 * [backup-simplify]: Simplify (+ 0 0) into 0
3.698 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
3.698 * [backup-simplify]: Simplify (+ 0 0) into 0
3.699 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
3.699 * [taylor]: Taking taylor expansion of 0 in kx
3.699 * [backup-simplify]: Simplify 0 into 0
3.699 * [backup-simplify]: Simplify 0 into 0
3.699 * [backup-simplify]: Simplify 0 into 0
3.699 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
3.700 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.701 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
3.701 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
3.702 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.703 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
3.703 * [backup-simplify]: Simplify (+ 0 0) into 0
3.704 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
3.704 * [backup-simplify]: Simplify (+ 0 0) into 0
3.705 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
3.705 * [backup-simplify]: Simplify 0 into 0
3.706 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 ky)))))) into 0
3.707 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
3.708 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.708 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
3.709 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
3.710 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
3.710 * [backup-simplify]: Simplify (+ 0 0) into 0
3.711 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
3.712 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.712 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
3.714 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
3.715 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
3.715 * [backup-simplify]: Simplify (+ 0 0) into 0
3.716 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 kx)))))) into 0
3.716 * [backup-simplify]: Simplify (+ 0 0) into 0
3.717 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
3.717 * [taylor]: Taking taylor expansion of 0 in kx
3.717 * [backup-simplify]: Simplify 0 into 0
3.717 * [backup-simplify]: Simplify 0 into 0
3.718 * [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)))
3.718 * [backup-simplify]: Simplify (hypot (sin (/ 1 (- ky))) (sin (/ 1 (- kx)))) into (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))
3.718 * [approximate]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in (ky kx) around 0
3.718 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in kx
3.718 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
3.718 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in kx
3.718 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in kx
3.718 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
3.718 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
3.718 * [taylor]: Taking taylor expansion of -1 in kx
3.718 * [backup-simplify]: Simplify -1 into -1
3.718 * [taylor]: Taking taylor expansion of ky in kx
3.718 * [backup-simplify]: Simplify ky into ky
3.718 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
3.718 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.718 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
3.718 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
3.718 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
3.718 * [taylor]: Taking taylor expansion of -1 in kx
3.718 * [backup-simplify]: Simplify -1 into -1
3.718 * [taylor]: Taking taylor expansion of ky in kx
3.718 * [backup-simplify]: Simplify ky into ky
3.719 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
3.719 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.719 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
3.719 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in kx
3.719 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
3.719 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
3.719 * [taylor]: Taking taylor expansion of -1 in kx
3.719 * [backup-simplify]: Simplify -1 into -1
3.719 * [taylor]: Taking taylor expansion of kx in kx
3.719 * [backup-simplify]: Simplify 0 into 0
3.719 * [backup-simplify]: Simplify 1 into 1
3.719 * [backup-simplify]: Simplify (/ -1 1) into -1
3.719 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
3.719 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
3.719 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
3.720 * [taylor]: Taking taylor expansion of -1 in kx
3.720 * [backup-simplify]: Simplify -1 into -1
3.720 * [taylor]: Taking taylor expansion of kx in kx
3.720 * [backup-simplify]: Simplify 0 into 0
3.720 * [backup-simplify]: Simplify 1 into 1
3.720 * [backup-simplify]: Simplify (/ -1 1) into -1
3.720 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
3.720 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
3.720 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
3.720 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
3.720 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
3.721 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
3.721 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
3.721 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
3.721 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
3.721 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
3.721 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
3.722 * [backup-simplify]: Simplify (+ 0) into 0
3.722 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
3.722 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
3.723 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.724 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
3.724 * [backup-simplify]: Simplify (+ 0 0) into 0
3.724 * [backup-simplify]: Simplify (+ 0) into 0
3.725 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
3.725 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
3.726 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.727 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
3.727 * [backup-simplify]: Simplify (+ 0 0) into 0
3.727 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
3.727 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
3.728 * [backup-simplify]: Simplify (+ 0 0) into 0
3.728 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
3.728 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in ky
3.728 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
3.728 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in ky
3.728 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
3.728 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
3.728 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
3.728 * [taylor]: Taking taylor expansion of -1 in ky
3.728 * [backup-simplify]: Simplify -1 into -1
3.729 * [taylor]: Taking taylor expansion of ky in ky
3.729 * [backup-simplify]: Simplify 0 into 0
3.729 * [backup-simplify]: Simplify 1 into 1
3.729 * [backup-simplify]: Simplify (/ -1 1) into -1
3.729 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.729 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
3.729 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
3.729 * [taylor]: Taking taylor expansion of -1 in ky
3.729 * [backup-simplify]: Simplify -1 into -1
3.729 * [taylor]: Taking taylor expansion of ky in ky
3.729 * [backup-simplify]: Simplify 0 into 0
3.729 * [backup-simplify]: Simplify 1 into 1
3.730 * [backup-simplify]: Simplify (/ -1 1) into -1
3.730 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.730 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
3.730 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
3.730 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
3.730 * [taylor]: Taking taylor expansion of -1 in ky
3.730 * [backup-simplify]: Simplify -1 into -1
3.730 * [taylor]: Taking taylor expansion of kx in ky
3.730 * [backup-simplify]: Simplify kx into kx
3.730 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
3.730 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
3.730 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
3.730 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
3.730 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
3.730 * [taylor]: Taking taylor expansion of -1 in ky
3.730 * [backup-simplify]: Simplify -1 into -1
3.730 * [taylor]: Taking taylor expansion of kx in ky
3.730 * [backup-simplify]: Simplify kx into kx
3.731 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
3.731 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
3.731 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
3.731 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
3.731 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
3.731 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
3.731 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
3.731 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
3.731 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
3.731 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
3.731 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
3.732 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
3.732 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
3.732 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
3.733 * [backup-simplify]: Simplify (+ 0) into 0
3.733 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
3.733 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
3.734 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.735 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
3.735 * [backup-simplify]: Simplify (+ 0 0) into 0
3.735 * [backup-simplify]: Simplify (+ 0) into 0
3.736 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
3.736 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
3.737 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.737 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
3.738 * [backup-simplify]: Simplify (+ 0 0) into 0
3.738 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
3.738 * [backup-simplify]: Simplify (+ 0 0) into 0
3.739 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
3.739 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in ky
3.739 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
3.739 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in ky
3.739 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
3.739 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
3.739 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
3.739 * [taylor]: Taking taylor expansion of -1 in ky
3.739 * [backup-simplify]: Simplify -1 into -1
3.739 * [taylor]: Taking taylor expansion of ky in ky
3.739 * [backup-simplify]: Simplify 0 into 0
3.739 * [backup-simplify]: Simplify 1 into 1
3.740 * [backup-simplify]: Simplify (/ -1 1) into -1
3.740 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.740 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
3.740 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
3.740 * [taylor]: Taking taylor expansion of -1 in ky
3.740 * [backup-simplify]: Simplify -1 into -1
3.740 * [taylor]: Taking taylor expansion of ky in ky
3.740 * [backup-simplify]: Simplify 0 into 0
3.740 * [backup-simplify]: Simplify 1 into 1
3.740 * [backup-simplify]: Simplify (/ -1 1) into -1
3.740 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.740 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
3.741 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
3.741 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
3.741 * [taylor]: Taking taylor expansion of -1 in ky
3.741 * [backup-simplify]: Simplify -1 into -1
3.741 * [taylor]: Taking taylor expansion of kx in ky
3.741 * [backup-simplify]: Simplify kx into kx
3.741 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
3.741 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
3.741 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
3.741 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
3.741 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
3.741 * [taylor]: Taking taylor expansion of -1 in ky
3.741 * [backup-simplify]: Simplify -1 into -1
3.741 * [taylor]: Taking taylor expansion of kx in ky
3.741 * [backup-simplify]: Simplify kx into kx
3.741 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
3.741 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
3.741 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
3.741 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
3.741 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
3.742 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
3.742 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
3.742 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
3.742 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
3.742 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
3.742 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
3.742 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
3.743 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
3.743 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
3.743 * [backup-simplify]: Simplify (+ 0) into 0
3.744 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
3.744 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
3.745 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.745 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
3.746 * [backup-simplify]: Simplify (+ 0 0) into 0
3.746 * [backup-simplify]: Simplify (+ 0) into 0
3.747 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
3.747 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
3.748 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.748 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
3.748 * [backup-simplify]: Simplify (+ 0 0) into 0
3.749 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
3.749 * [backup-simplify]: Simplify (+ 0 0) into 0
3.749 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
3.749 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx
3.750 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx
3.750 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx
3.750 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
3.750 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
3.750 * [taylor]: Taking taylor expansion of -1 in kx
3.750 * [backup-simplify]: Simplify -1 into -1
3.750 * [taylor]: Taking taylor expansion of kx in kx
3.750 * [backup-simplify]: Simplify 0 into 0
3.750 * [backup-simplify]: Simplify 1 into 1
3.750 * [backup-simplify]: Simplify (/ -1 1) into -1
3.750 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
3.750 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx
3.750 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
3.750 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
3.750 * [taylor]: Taking taylor expansion of -1 in kx
3.750 * [backup-simplify]: Simplify -1 into -1
3.751 * [taylor]: Taking taylor expansion of ky in kx
3.751 * [backup-simplify]: Simplify ky into ky
3.751 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
3.751 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.751 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
3.751 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
3.751 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
3.751 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
3.751 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
3.752 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
3.752 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
3.752 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
3.752 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
3.753 * [backup-simplify]: Simplify (+ 0) into 0
3.753 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
3.753 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
3.754 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.755 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
3.755 * [backup-simplify]: Simplify (+ 0 0) into 0
3.756 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
3.756 * [backup-simplify]: Simplify (+ 0 0) into 0
3.756 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
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 * [taylor]: Taking taylor expansion of 0 in kx
3.757 * [backup-simplify]: Simplify 0 into 0
3.757 * [backup-simplify]: Simplify 0 into 0
3.757 * [backup-simplify]: Simplify 0 into 0
3.758 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
3.759 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.759 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
3.760 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
3.760 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.761 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
3.761 * [backup-simplify]: Simplify (+ 0 0) into 0
3.762 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.763 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
3.763 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
3.764 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.765 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
3.765 * [backup-simplify]: Simplify (+ 0 0) into 0
3.766 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
3.766 * [backup-simplify]: Simplify (+ 0 0) into 0
3.767 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
3.767 * [taylor]: Taking taylor expansion of 0 in kx
3.767 * [backup-simplify]: Simplify 0 into 0
3.767 * [backup-simplify]: Simplify 0 into 0
3.767 * [backup-simplify]: Simplify 0 into 0
3.768 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
3.769 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.770 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
3.770 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
3.771 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.771 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
3.772 * [backup-simplify]: Simplify (+ 0 0) into 0
3.772 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
3.773 * [backup-simplify]: Simplify (+ 0 0) into 0
3.773 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
3.774 * [backup-simplify]: Simplify 0 into 0
3.774 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 ky)))))) into 0
3.775 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
3.777 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.777 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
3.778 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
3.779 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
3.780 * [backup-simplify]: Simplify (+ 0 0) into 0
3.780 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
3.781 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.782 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
3.783 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
3.784 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
3.784 * [backup-simplify]: Simplify (+ 0 0) into 0
3.785 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 kx)))))) into 0
3.786 * [backup-simplify]: Simplify (+ 0 0) into 0
3.787 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
3.787 * [taylor]: Taking taylor expansion of 0 in kx
3.787 * [backup-simplify]: Simplify 0 into 0
3.787 * [backup-simplify]: Simplify 0 into 0
3.787 * [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)))
3.787 * * * [progress]: simplifying candidates
3.787 * * * * [progress]: [ 1 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (log1p (expm1 (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx)))))))>
3.788 * * * * [progress]: [ 2 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (expm1 (log1p (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx)))))))>
3.788 * * * * [progress]: [ 3 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (pow (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx)))) 1))>
3.788 * * * * [progress]: [ 4 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (pow (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx)))) 1))>
3.788 * * * * [progress]: [ 5 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (exp (+ (log (sin th)) (- (log (sin ky)) (log (hypot (sin ky) (sin kx)))))))>
3.788 * * * * [progress]: [ 6 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (exp (+ (log (sin th)) (log (/ (sin ky) (hypot (sin ky) (sin kx)))))))>
3.788 * * * * [progress]: [ 7 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (exp (log (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx)))))))>
3.788 * * * * [progress]: [ 8 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (log (exp (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx)))))))>
3.788 * * * * [progress]: [ 9 / 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)))))))>
3.788 * * * * [progress]: [ 10 / 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)))))))>
3.788 * * * * [progress]: [ 11 / 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)))))))>
3.788 * * * * [progress]: [ 12 / 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)))))))>
3.788 * * * * [progress]: [ 13 / 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)))))))>
3.789 * * * * [progress]: [ 14 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* 1 (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx))))))>
3.789 * * * * [progress]: [ 15 / 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)))))))>
3.789 * * * * [progress]: [ 16 / 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)))))))>
3.789 * * * * [progress]: [ 17 / 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))))))>
3.789 * * * * [progress]: [ 18 / 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))))))>
3.789 * * * * [progress]: [ 19 / 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))))))>
3.789 * * * * [progress]: [ 20 / 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))))))>
3.789 * * * * [progress]: [ 21 / 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)))))>
3.789 * * * * [progress]: [ 22 / 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))))))>
3.789 * * * * [progress]: [ 23 / 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))))))>
3.789 * * * * [progress]: [ 24 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ (sqrt (sin ky)) 1)) (/ (sqrt (sin ky)) (hypot (sin ky) (sin kx)))))>
3.789 * * * * [progress]: [ 25 / 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))))))>
3.789 * * * * [progress]: [ 26 / 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))))))>
3.789 * * * * [progress]: [ 27 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ 1 1)) (/ (sin ky) (hypot (sin ky) (sin kx)))))>
3.789 * * * * [progress]: [ 28 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) 1) (/ (sin ky) (hypot (sin ky) (sin kx)))))>
3.789 * * * * [progress]: [ 29 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (sin ky)) (/ 1 (hypot (sin ky) (sin kx)))))>
3.789 * * * * [progress]: [ 30 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (cbrt (sin th)) (cbrt (sin th))) (* (cbrt (sin th)) (/ (sin ky) (hypot (sin ky) (sin kx))))))>
3.790 * * * * [progress]: [ 31 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sqrt (sin th)) (* (sqrt (sin th)) (/ (sin ky) (hypot (sin ky) (sin kx))))))>
3.790 * * * * [progress]: [ 32 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* 1 (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx))))))>
3.790 * * * * [progress]: [ 33 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))))>
3.790 * * * * [progress]: [ 34 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (posit16->real (real->posit16 (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx)))))))>
3.790 * * * * [progress]: [ 35 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))>
3.790 * * * * [progress]: [ 36 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (expm1 (/ (sin ky) (hypot (sin ky) (sin kx)))))))>
3.790 * * * * [progress]: [ 37 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (expm1 (log1p (/ (sin ky) (hypot (sin ky) (sin kx)))))))>
3.790 * * * * [progress]: [ 38 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (pow (/ (sin ky) (hypot (sin ky) (sin kx))) 1)))>
3.790 * * * * [progress]: [ 39 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (exp (- (log (sin ky)) (log (hypot (sin ky) (sin kx)))))))>
3.790 * * * * [progress]: [ 40 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (exp (log (/ (sin ky) (hypot (sin ky) (sin kx)))))))>
3.790 * * * * [progress]: [ 41 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log (exp (/ (sin ky) (hypot (sin ky) (sin kx)))))))>
3.790 * * * * [progress]: [ 42 / 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)))))))>
3.790 * * * * [progress]: [ 43 / 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)))))))>
3.790 * * * * [progress]: [ 44 / 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)))))))>
3.790 * * * * [progress]: [ 45 / 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)))))))>
3.790 * * * * [progress]: [ 46 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (- (sin ky)) (- (hypot (sin ky) (sin kx))))))>
3.790 * * * * [progress]: [ 47 / 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)))))))>
3.790 * * * * [progress]: [ 48 / 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)))))))>
3.791 * * * * [progress]: [ 49 / 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))))))>
3.791 * * * * [progress]: [ 50 / 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)))))))>
3.791 * * * * [progress]: [ 51 / 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)))))))>
3.791 * * * * [progress]: [ 52 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ (sqrt (sin ky)) 1) (/ (sqrt (sin ky)) (hypot (sin ky) (sin kx))))))>
3.791 * * * * [progress]: [ 53 / 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)))))))>
3.791 * * * * [progress]: [ 54 / 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)))))))>
3.791 * * * * [progress]: [ 55 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ 1 1) (/ (sin ky) (hypot (sin ky) (sin kx))))))>
3.791 * * * * [progress]: [ 56 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* 1 (/ (sin ky) (hypot (sin ky) (sin kx))))))>
3.791 * * * * [progress]: [ 57 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (sin ky) (/ 1 (hypot (sin ky) (sin kx))))))>
3.791 * * * * [progress]: [ 58 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))>
3.791 * * * * [progress]: [ 59 / 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))))))>
3.791 * * * * [progress]: [ 60 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (/ (sin ky) (sqrt (hypot (sin ky) (sin kx)))) (sqrt (hypot (sin ky) (sin kx))))))>
3.791 * * * * [progress]: [ 61 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (/ (sin ky) 1) (hypot (sin ky) (sin kx)))))>
3.791 * * * * [progress]: [ 62 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (/ (hypot (sin ky) (sin kx)) (cbrt (sin ky))))))>
3.791 * * * * [progress]: [ 63 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (sqrt (sin ky)) (/ (hypot (sin ky) (sin kx)) (sqrt (sin ky))))))>
3.791 * * * * [progress]: [ 64 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))>
3.791 * * * * [progress]: [ 65 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (posit16->real (real->posit16 (/ (sin ky) (hypot (sin ky) (sin kx)))))))>
3.791 * * * * [progress]: [ 66 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (sin ky) (log1p (expm1 (hypot (sin ky) (sin kx)))))))>
3.792 * * * * [progress]: [ 67 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (sin ky) (expm1 (log1p (hypot (sin ky) (sin kx)))))))>
3.792 * * * * [progress]: [ 68 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))))>
3.792 * * * * [progress]: [ 69 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (sin ky) (pow (hypot (sin ky) (sin kx)) 1))))>
3.792 * * * * [progress]: [ 70 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (sin ky) (exp (log (hypot (sin ky) (sin kx)))))))>
3.792 * * * * [progress]: [ 71 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (sin ky) (log (exp (hypot (sin ky) (sin kx)))))))>
3.792 * * * * [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)))))))>
3.792 * * * * [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)))))))>
3.792 * * * * [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)))))))>
3.792 * * * * [progress]: [ 75 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (sin ky) (* 1 (hypot (sin ky) (sin kx))))))>
3.792 * * * * [progress]: [ 76 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (sin ky) (posit16->real (real->posit16 (hypot (sin ky) (sin kx)))))))>
3.792 * * * * [progress]: [ 77 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* 1/6 (* kx (* ky th))))>
3.792 * * * * [progress]: [ 78 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky))))>
3.792 * * * * [progress]: [ 79 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky))))>
3.792 * * * * [progress]: [ 80 / 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))))))>
3.793 * * * * [progress]: [ 81 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))))>
3.793 * * * * [progress]: [ 82 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))))>
3.793 * * * * [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))))))>
3.793 * * * * [progress]: [ 84 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (sin ky) (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))))>
3.793 * * * * [progress]: [ 85 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (sin ky) (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))))>
3.794 * [simplify]: Simplifying:
  (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 (/ (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 (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)))
  (- (+ (* 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))
  (- (+ (* 1/12 (* 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)))
3.797 * * [simplify]: iteration 0: 133 enodes
3.856 * * [simplify]: iteration 1: 305 enodes
3.971 * * [simplify]: iteration 2: 1003 enodes
4.608 * * [simplify]: iteration 3: 3345 enodes
5.582 * * [simplify]: iteration complete: 5017 enodes
5.582 * * [simplify]: Extracting #0: cost 76 inf + 0
5.584 * * [simplify]: Extracting #1: cost 662 inf + 1
5.589 * * [simplify]: Extracting #2: cost 1319 inf + 3851
5.607 * * [simplify]: Extracting #3: cost 980 inf + 122075
5.705 * * [simplify]: Extracting #4: cost 192 inf + 390021
5.846 * * [simplify]: Extracting #5: cost 4 inf + 459024
5.991 * * [simplify]: Extracting #6: cost 0 inf + 460204
6.093 * [simplify]: Simplified to:
  (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) (sin ky)) (hypot (sin ky) (sin kx))))
  (log (/ (* (sin th) (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 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))) (* (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))) (/ (* (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)))))
  (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 ky)) (sqrt (hypot (sin ky) (sin kx)))) (sqrt (sin th)))
  (* (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx)))) (sqrt (sin th)))
  (* (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (sin th))
  (* (sin th) (sqrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (* (/ (cbrt (sin ky)) (cbrt (hypot (sin ky) (sin kx)))) (sin th)) (/ (cbrt (sin ky)) (cbrt (hypot (sin ky) (sin kx)))))
  (/ (sin th) (/ (sqrt (hypot (sin ky) (sin kx))) (* (cbrt (sin ky)) (cbrt (sin ky)))))
  (* (* (cbrt (sin ky)) (cbrt (sin ky))) (sin th))
  (/ (* (sqrt (sin ky)) (sin th)) (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))))
  (/ (* (sin th) (sqrt (sin ky))) (sqrt (hypot (sin ky) (sin kx))))
  (* (sqrt (sin ky)) (sin th))
  (/ (/ (sin th) (cbrt (hypot (sin ky) (sin kx)))) (cbrt (hypot (sin ky) (sin kx))))
  (/ (sin th) (sqrt (hypot (sin ky) (sin kx))))
  (sin th)
  (sin th)
  (* (sin th) (sin ky))
  (/ (* (cbrt (sin th)) (sin ky)) (hypot (sin ky) (sin kx)))
  (* (sin ky) (/ (sqrt (sin th)) (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 (/ (sin ky) (hypot (sin ky) (sin kx))))
  (log1p (/ (sin ky) (hypot (sin ky) (sin kx))))
  (log (/ (sin ky) (hypot (sin ky) (sin kx))))
  (log (/ (sin ky) (hypot (sin ky) (sin kx))))
  (exp (/ (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))))
  (* (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 (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 (sin ky))) (sqrt (hypot (sin ky) (sin kx))))
  (/ (cbrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))
  (* (cbrt (sin ky)) (cbrt (sin ky)))
  (/ (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))
  (/ (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
  (/ (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)
  (/ (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 (hypot (sin ky) (sin kx)))
  (log1p (hypot (sin ky) (sin kx)))
  (fma (sin kx) (sin kx) (* (sin ky) (sin ky)))
  (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) (* th ky))
  (* (* (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 ky (* kx (fma 7/360 (* kx kx) 1/6)) (* (* (* kx -71/720) ky) (* ky ky)))
  (* (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))))))
  (fma kx (- (* (* 1/12 ky) ky) (* (* 1/6 kx) kx)) kx)
  (hypot (sin ky) (sin kx))
  (hypot (sin ky) (sin kx))
6.099 * * * [progress]: adding candidates to table
6.681 * * [progress]: iteration 2 / 4
6.681 * * * [progress]: picking best candidate
6.817 * * * * [pick]: Picked  #<alt (λ (kx ky th) (* (sin th) (/ (sin ky) (* 1 (hypot (sin ky) (sin kx))))))>
6.817 * * * [progress]: localizing error
6.862 * * * [progress]: generating rewritten candidates
6.862 * * * * [progress]: [ 1 / 3 ] rewriting at (2)
6.908 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2)
6.925 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 2 2)
6.926 * * * [progress]: generating series expansions
6.926 * * * * [progress]: [ 1 / 3 ] generating series at (2)
6.926 * [backup-simplify]: Simplify (* (sin th) (/ (sin ky) (* 1 (hypot (sin ky) (sin kx))))) into (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx)))
6.926 * [approximate]: Taking taylor expansion of (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))) in (th ky kx) around 0
6.926 * [taylor]: Taking taylor expansion of (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))) in kx
6.926 * [taylor]: Taking taylor expansion of (* (sin th) (sin ky)) in kx
6.926 * [taylor]: Taking taylor expansion of (sin th) in kx
6.926 * [taylor]: Taking taylor expansion of th in kx
6.926 * [backup-simplify]: Simplify th into th
6.926 * [backup-simplify]: Simplify (sin th) into (sin th)
6.926 * [backup-simplify]: Simplify (cos th) into (cos th)
6.926 * [taylor]: Taking taylor expansion of (sin ky) in kx
6.926 * [taylor]: Taking taylor expansion of ky in kx
6.926 * [backup-simplify]: Simplify ky into ky
6.926 * [backup-simplify]: Simplify (sin ky) into (sin ky)
6.926 * [backup-simplify]: Simplify (cos ky) into (cos ky)
6.926 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in kx
6.926 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
6.926 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in kx
6.926 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in kx
6.926 * [taylor]: Taking taylor expansion of (sin ky) in kx
6.926 * [taylor]: Taking taylor expansion of ky in kx
6.926 * [backup-simplify]: Simplify ky into ky
6.926 * [backup-simplify]: Simplify (sin ky) into (sin ky)
6.926 * [backup-simplify]: Simplify (cos ky) into (cos ky)
6.926 * [taylor]: Taking taylor expansion of (sin ky) in kx
6.926 * [taylor]: Taking taylor expansion of ky in kx
6.926 * [backup-simplify]: Simplify ky into ky
6.926 * [backup-simplify]: Simplify (sin ky) into (sin ky)
6.926 * [backup-simplify]: Simplify (cos ky) into (cos ky)
6.927 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in kx
6.927 * [taylor]: Taking taylor expansion of (sin kx) in kx
6.927 * [taylor]: Taking taylor expansion of kx in kx
6.927 * [backup-simplify]: Simplify 0 into 0
6.927 * [backup-simplify]: Simplify 1 into 1
6.927 * [taylor]: Taking taylor expansion of (sin kx) in kx
6.927 * [taylor]: Taking taylor expansion of kx in kx
6.927 * [backup-simplify]: Simplify 0 into 0
6.927 * [backup-simplify]: Simplify 1 into 1
6.927 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
6.927 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
6.927 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
6.927 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
6.927 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
6.927 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
6.927 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
6.927 * [backup-simplify]: Simplify (* 0 0) into 0
6.928 * [backup-simplify]: Simplify (+ (pow (sin ky) 2) 0) into (pow (sin ky) 2)
6.928 * [backup-simplify]: Simplify (sqrt (pow (sin ky) 2)) into (sin ky)
6.928 * [backup-simplify]: Simplify (+ 0) into 0
6.928 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
6.929 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.929 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
6.929 * [backup-simplify]: Simplify (+ 0 0) into 0
6.930 * [backup-simplify]: Simplify (+ 0) into 0
6.930 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
6.930 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.931 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
6.931 * [backup-simplify]: Simplify (+ 0 0) into 0
6.931 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
6.932 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
6.932 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
6.932 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.933 * [backup-simplify]: Simplify (+ 0 0) into 0
6.933 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin ky) 2)))) into 0
6.933 * [backup-simplify]: Simplify (* (sin th) 1) into (sin th)
6.933 * [backup-simplify]: Simplify (* (cos th) 0) into 0
6.933 * [backup-simplify]: Simplify (+ (sin th) 0) into (sin th)
6.933 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
6.933 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
6.933 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
6.933 * [backup-simplify]: Simplify (* (sin th) (sin ky)) into (* (sin th) (sin ky))
6.933 * [backup-simplify]: Simplify (/ (* (sin th) (sin ky)) (sin ky)) into (sin th)
6.933 * [taylor]: Taking taylor expansion of (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))) in ky
6.933 * [taylor]: Taking taylor expansion of (* (sin th) (sin ky)) in ky
6.933 * [taylor]: Taking taylor expansion of (sin th) in ky
6.933 * [taylor]: Taking taylor expansion of th in ky
6.933 * [backup-simplify]: Simplify th into th
6.933 * [backup-simplify]: Simplify (sin th) into (sin th)
6.933 * [backup-simplify]: Simplify (cos th) into (cos th)
6.933 * [taylor]: Taking taylor expansion of (sin ky) in ky
6.934 * [taylor]: Taking taylor expansion of ky in ky
6.934 * [backup-simplify]: Simplify 0 into 0
6.934 * [backup-simplify]: Simplify 1 into 1
6.934 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky
6.934 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
6.934 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky
6.934 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
6.934 * [taylor]: Taking taylor expansion of (sin ky) in ky
6.934 * [taylor]: Taking taylor expansion of ky in ky
6.934 * [backup-simplify]: Simplify 0 into 0
6.934 * [backup-simplify]: Simplify 1 into 1
6.934 * [taylor]: Taking taylor expansion of (sin ky) in ky
6.934 * [taylor]: Taking taylor expansion of ky in ky
6.934 * [backup-simplify]: Simplify 0 into 0
6.934 * [backup-simplify]: Simplify 1 into 1
6.934 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
6.934 * [taylor]: Taking taylor expansion of (sin kx) in ky
6.934 * [taylor]: Taking taylor expansion of kx in ky
6.934 * [backup-simplify]: Simplify kx into kx
6.934 * [backup-simplify]: Simplify (sin kx) into (sin kx)
6.934 * [backup-simplify]: Simplify (cos kx) into (cos kx)
6.934 * [taylor]: Taking taylor expansion of (sin kx) in ky
6.934 * [taylor]: Taking taylor expansion of kx in ky
6.934 * [backup-simplify]: Simplify kx into kx
6.934 * [backup-simplify]: Simplify (sin kx) into (sin kx)
6.934 * [backup-simplify]: Simplify (cos kx) into (cos kx)
6.934 * [backup-simplify]: Simplify (* 0 0) into 0
6.934 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
6.934 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
6.934 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
6.934 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
6.934 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
6.935 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
6.935 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
6.935 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
6.935 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
6.935 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
6.936 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
6.936 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.936 * [backup-simplify]: Simplify (+ 0) into 0
6.937 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
6.937 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.937 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
6.938 * [backup-simplify]: Simplify (+ 0 0) into 0
6.938 * [backup-simplify]: Simplify (+ 0) into 0
6.938 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
6.939 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.939 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
6.939 * [backup-simplify]: Simplify (+ 0 0) into 0
6.939 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
6.939 * [backup-simplify]: Simplify (+ 0 0) into 0
6.939 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
6.940 * [backup-simplify]: Simplify (* (sin th) 1) into (sin th)
6.940 * [backup-simplify]: Simplify (* (cos th) 0) into 0
6.940 * [backup-simplify]: Simplify (+ (sin th) 0) into (sin th)
6.940 * [backup-simplify]: Simplify (* (sin th) 0) into 0
6.940 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
6.940 * [backup-simplify]: Simplify (+ 0) into 0
6.941 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 1)) into 0
6.941 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.941 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 0)) into 0
6.942 * [backup-simplify]: Simplify (+ 0 0) into 0
6.942 * [backup-simplify]: Simplify (+ (* (sin th) 1) (* 0 0)) into (sin th)
6.942 * [backup-simplify]: Simplify (/ (sin th) (sin kx)) into (/ (sin th) (sin kx))
6.942 * [taylor]: Taking taylor expansion of (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))) in th
6.942 * [taylor]: Taking taylor expansion of (* (sin th) (sin ky)) in th
6.942 * [taylor]: Taking taylor expansion of (sin th) in th
6.942 * [taylor]: Taking taylor expansion of th in th
6.942 * [backup-simplify]: Simplify 0 into 0
6.942 * [backup-simplify]: Simplify 1 into 1
6.942 * [taylor]: Taking taylor expansion of (sin ky) in th
6.942 * [taylor]: Taking taylor expansion of ky in th
6.942 * [backup-simplify]: Simplify ky into ky
6.942 * [backup-simplify]: Simplify (sin ky) into (sin ky)
6.942 * [backup-simplify]: Simplify (cos ky) into (cos ky)
6.942 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in th
6.942 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
6.942 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in th
6.942 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in th
6.942 * [taylor]: Taking taylor expansion of (sin ky) in th
6.942 * [taylor]: Taking taylor expansion of ky in th
6.942 * [backup-simplify]: Simplify ky into ky
6.942 * [backup-simplify]: Simplify (sin ky) into (sin ky)
6.942 * [backup-simplify]: Simplify (cos ky) into (cos ky)
6.942 * [taylor]: Taking taylor expansion of (sin ky) in th
6.942 * [taylor]: Taking taylor expansion of ky in th
6.942 * [backup-simplify]: Simplify ky into ky
6.942 * [backup-simplify]: Simplify (sin ky) into (sin ky)
6.942 * [backup-simplify]: Simplify (cos ky) into (cos ky)
6.942 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in th
6.942 * [taylor]: Taking taylor expansion of (sin kx) in th
6.943 * [taylor]: Taking taylor expansion of kx in th
6.943 * [backup-simplify]: Simplify kx into kx
6.943 * [backup-simplify]: Simplify (sin kx) into (sin kx)
6.943 * [backup-simplify]: Simplify (cos kx) into (cos kx)
6.943 * [taylor]: Taking taylor expansion of (sin kx) in th
6.943 * [taylor]: Taking taylor expansion of kx in th
6.943 * [backup-simplify]: Simplify kx into kx
6.943 * [backup-simplify]: Simplify (sin kx) into (sin kx)
6.943 * [backup-simplify]: Simplify (cos kx) into (cos kx)
6.943 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
6.943 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
6.943 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
6.943 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
6.943 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
6.943 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
6.943 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
6.943 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
6.943 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
6.943 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
6.943 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
6.943 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
6.943 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
6.943 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
6.943 * [backup-simplify]: Simplify (+ (pow (sin ky) 2) (pow (sin kx) 2)) into (+ (pow (sin ky) 2) (pow (sin kx) 2))
6.943 * [backup-simplify]: Simplify (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) into (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))
6.944 * [backup-simplify]: Simplify (+ 0) into 0
6.944 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
6.945 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.945 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
6.945 * [backup-simplify]: Simplify (+ 0 0) into 0
6.945 * [backup-simplify]: Simplify (+ 0) into 0
6.946 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
6.946 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.946 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
6.947 * [backup-simplify]: Simplify (+ 0 0) into 0
6.947 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
6.947 * [backup-simplify]: Simplify (+ 0) into 0
6.947 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
6.948 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.948 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
6.948 * [backup-simplify]: Simplify (+ 0 0) into 0
6.948 * [backup-simplify]: Simplify (+ 0) into 0
6.949 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
6.949 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.949 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
6.950 * [backup-simplify]: Simplify (+ 0 0) into 0
6.950 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
6.950 * [backup-simplify]: Simplify (+ 0 0) into 0
6.950 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))) into 0
6.950 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
6.950 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
6.950 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
6.950 * [backup-simplify]: Simplify (* 0 (sin ky)) into 0
6.951 * [backup-simplify]: Simplify (+ 0) into 0
6.951 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
6.951 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.952 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
6.952 * [backup-simplify]: Simplify (+ 0 0) into 0
6.952 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
6.953 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin ky))) into (sin ky)
6.953 * [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))
6.953 * [taylor]: Taking taylor expansion of (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))) in th
6.953 * [taylor]: Taking taylor expansion of (* (sin th) (sin ky)) in th
6.953 * [taylor]: Taking taylor expansion of (sin th) in th
6.953 * [taylor]: Taking taylor expansion of th in th
6.953 * [backup-simplify]: Simplify 0 into 0
6.953 * [backup-simplify]: Simplify 1 into 1
6.953 * [taylor]: Taking taylor expansion of (sin ky) in th
6.953 * [taylor]: Taking taylor expansion of ky in th
6.953 * [backup-simplify]: Simplify ky into ky
6.953 * [backup-simplify]: Simplify (sin ky) into (sin ky)
6.953 * [backup-simplify]: Simplify (cos ky) into (cos ky)
6.953 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in th
6.953 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
6.953 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in th
6.953 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in th
6.953 * [taylor]: Taking taylor expansion of (sin ky) in th
6.953 * [taylor]: Taking taylor expansion of ky in th
6.953 * [backup-simplify]: Simplify ky into ky
6.953 * [backup-simplify]: Simplify (sin ky) into (sin ky)
6.953 * [backup-simplify]: Simplify (cos ky) into (cos ky)
6.953 * [taylor]: Taking taylor expansion of (sin ky) in th
6.953 * [taylor]: Taking taylor expansion of ky in th
6.953 * [backup-simplify]: Simplify ky into ky
6.953 * [backup-simplify]: Simplify (sin ky) into (sin ky)
6.953 * [backup-simplify]: Simplify (cos ky) into (cos ky)
6.953 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in th
6.953 * [taylor]: Taking taylor expansion of (sin kx) in th
6.953 * [taylor]: Taking taylor expansion of kx in th
6.953 * [backup-simplify]: Simplify kx into kx
6.953 * [backup-simplify]: Simplify (sin kx) into (sin kx)
6.953 * [backup-simplify]: Simplify (cos kx) into (cos kx)
6.954 * [taylor]: Taking taylor expansion of (sin kx) in th
6.954 * [taylor]: Taking taylor expansion of kx in th
6.954 * [backup-simplify]: Simplify kx into kx
6.954 * [backup-simplify]: Simplify (sin kx) into (sin kx)
6.954 * [backup-simplify]: Simplify (cos kx) into (cos kx)
6.954 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
6.954 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
6.954 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
6.954 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
6.954 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
6.954 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
6.954 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
6.954 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
6.954 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
6.954 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
6.954 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
6.954 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
6.954 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
6.954 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
6.954 * [backup-simplify]: Simplify (+ (pow (sin ky) 2) (pow (sin kx) 2)) into (+ (pow (sin ky) 2) (pow (sin kx) 2))
6.954 * [backup-simplify]: Simplify (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) into (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))
6.955 * [backup-simplify]: Simplify (+ 0) into 0
6.955 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
6.955 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.956 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
6.956 * [backup-simplify]: Simplify (+ 0 0) into 0
6.956 * [backup-simplify]: Simplify (+ 0) into 0
6.957 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
6.957 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.957 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
6.958 * [backup-simplify]: Simplify (+ 0 0) into 0
6.958 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
6.958 * [backup-simplify]: Simplify (+ 0) into 0
6.958 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
6.959 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.959 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
6.959 * [backup-simplify]: Simplify (+ 0 0) into 0
6.959 * [backup-simplify]: Simplify (+ 0) into 0
6.960 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
6.960 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.961 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
6.961 * [backup-simplify]: Simplify (+ 0 0) into 0
6.961 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
6.962 * [backup-simplify]: Simplify (+ 0 0) into 0
6.962 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))) into 0
6.962 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
6.962 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
6.962 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
6.962 * [backup-simplify]: Simplify (* 0 (sin ky)) into 0
6.963 * [backup-simplify]: Simplify (+ 0) into 0
6.963 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
6.964 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.964 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
6.965 * [backup-simplify]: Simplify (+ 0 0) into 0
6.965 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
6.966 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin ky))) into (sin ky)
6.966 * [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))
6.966 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)) in ky
6.966 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) in ky
6.966 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2))) in ky
6.966 * [taylor]: Taking taylor expansion of (+ (pow (sin ky) 2) (pow (sin kx) 2)) in ky
6.966 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in ky
6.966 * [taylor]: Taking taylor expansion of (sin ky) in ky
6.966 * [taylor]: Taking taylor expansion of ky in ky
6.966 * [backup-simplify]: Simplify 0 into 0
6.966 * [backup-simplify]: Simplify 1 into 1
6.967 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
6.967 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in ky
6.967 * [taylor]: Taking taylor expansion of (sin kx) in ky
6.967 * [taylor]: Taking taylor expansion of kx in ky
6.967 * [backup-simplify]: Simplify kx into kx
6.967 * [backup-simplify]: Simplify (sin kx) into (sin kx)
6.967 * [backup-simplify]: Simplify (cos kx) into (cos kx)
6.967 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
6.967 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
6.967 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
6.968 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
6.968 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
6.968 * [backup-simplify]: Simplify (/ 1 (pow (sin kx) 2)) into (/ 1 (pow (sin kx) 2))
6.968 * [backup-simplify]: Simplify (sqrt (/ 1 (pow (sin kx) 2))) into (/ 1 (sin kx))
6.968 * [backup-simplify]: Simplify (+ 0) into 0
6.969 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
6.970 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.970 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
6.970 * [backup-simplify]: Simplify (+ 0 0) into 0
6.971 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
6.971 * [backup-simplify]: Simplify (+ 0 0) into 0
6.971 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sin kx) 2)) (/ 0 (pow (sin kx) 2))))) into 0
6.971 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow (sin kx) 2))))) into 0
6.971 * [taylor]: Taking taylor expansion of (sin ky) in ky
6.971 * [taylor]: Taking taylor expansion of ky in ky
6.971 * [backup-simplify]: Simplify 0 into 0
6.971 * [backup-simplify]: Simplify 1 into 1
6.972 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
6.973 * [backup-simplify]: Simplify (+ (* (/ 1 (sin kx)) 1) (* 0 0)) into (/ 1 (sin kx))
6.973 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx
6.973 * [taylor]: Taking taylor expansion of (sin kx) in kx
6.973 * [taylor]: Taking taylor expansion of kx in kx
6.973 * [backup-simplify]: Simplify 0 into 0
6.973 * [backup-simplify]: Simplify 1 into 1
6.974 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
6.974 * [backup-simplify]: Simplify (/ 1 1) into 1
6.975 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.976 * [backup-simplify]: Simplify 0 into 0
6.976 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.977 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 1))) into 0
6.978 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.979 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (* 0 0))) into 0
6.979 * [backup-simplify]: Simplify (+ 0 0) into 0
6.980 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.981 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin ky)))) into 0
6.982 * [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
6.982 * [taylor]: Taking taylor expansion of 0 in ky
6.982 * [backup-simplify]: Simplify 0 into 0
6.982 * [taylor]: Taking taylor expansion of 0 in kx
6.982 * [backup-simplify]: Simplify 0 into 0
6.982 * [backup-simplify]: Simplify 0 into 0
6.983 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.983 * [backup-simplify]: Simplify (* 1 1) into 1
6.984 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.985 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
6.986 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.986 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
6.986 * [backup-simplify]: Simplify (+ 0 0) into 0
6.987 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 (sin kx)))) into 0
6.987 * [backup-simplify]: Simplify (+ 1 0) into 1
6.988 * [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)))
6.988 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow (sin kx) 4))) (pow 0 2) (+)) (* 2 (/ 1 (sin kx)))) into (/ -1/2 (pow (sin kx) 3))
6.989 * [backup-simplify]: Simplify (+ (* (/ 1 (sin kx)) 0) (+ (* 0 1) (* (/ -1/2 (pow (sin kx) 3)) 0))) into 0
6.989 * [taylor]: Taking taylor expansion of 0 in kx
6.989 * [backup-simplify]: Simplify 0 into 0
6.989 * [backup-simplify]: Simplify 0 into 0
6.990 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
6.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/6
6.990 * [backup-simplify]: Simplify 1/6 into 1/6
6.991 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
6.991 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.992 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
6.993 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
6.993 * [backup-simplify]: Simplify (+ 0 0) into 0
6.994 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
6.995 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin ky))))) into (- (* 1/6 (sin ky)))
6.995 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.996 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 1))) into 0
6.996 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.996 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (* 0 0))) into 0
6.997 * [backup-simplify]: Simplify (+ 0 0) into 0
6.997 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.998 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 1))) into 0
6.998 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.998 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (* 0 0))) into 0
6.999 * [backup-simplify]: Simplify (+ 0 0) into 0
6.999 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 (sin ky)))) into 0
7.000 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.000 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
7.000 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.001 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
7.001 * [backup-simplify]: Simplify (+ 0 0) into 0
7.002 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.002 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
7.002 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.003 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
7.003 * [backup-simplify]: Simplify (+ 0 0) into 0
7.003 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 (sin kx)))) into 0
7.005 * [backup-simplify]: Simplify (+ 0 0) into 0
7.006 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))) into 0
7.007 * [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))))
7.007 * [taylor]: Taking taylor expansion of (- (* 1/6 (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)))) in ky
7.007 * [taylor]: Taking taylor expansion of (* 1/6 (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))) in ky
7.007 * [taylor]: Taking taylor expansion of 1/6 in ky
7.007 * [backup-simplify]: Simplify 1/6 into 1/6
7.007 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)) in ky
7.007 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) in ky
7.007 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2))) in ky
7.007 * [taylor]: Taking taylor expansion of (+ (pow (sin ky) 2) (pow (sin kx) 2)) in ky
7.007 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in ky
7.007 * [taylor]: Taking taylor expansion of (sin ky) in ky
7.007 * [taylor]: Taking taylor expansion of ky in ky
7.007 * [backup-simplify]: Simplify 0 into 0
7.007 * [backup-simplify]: Simplify 1 into 1
7.007 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.007 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in ky
7.007 * [taylor]: Taking taylor expansion of (sin kx) in ky
7.007 * [taylor]: Taking taylor expansion of kx in ky
7.007 * [backup-simplify]: Simplify kx into kx
7.007 * [backup-simplify]: Simplify (sin kx) into (sin kx)
7.008 * [backup-simplify]: Simplify (cos kx) into (cos kx)
7.008 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
7.008 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
7.008 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
7.008 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
7.008 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
7.008 * [backup-simplify]: Simplify (/ 1 (pow (sin kx) 2)) into (/ 1 (pow (sin kx) 2))
7.008 * [backup-simplify]: Simplify (sqrt (/ 1 (pow (sin kx) 2))) into (/ 1 (sin kx))
7.008 * [backup-simplify]: Simplify (+ 0) into 0
7.009 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
7.009 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.009 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
7.010 * [backup-simplify]: Simplify (+ 0 0) into 0
7.010 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
7.010 * [backup-simplify]: Simplify (+ 0 0) into 0
7.010 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sin kx) 2)) (/ 0 (pow (sin kx) 2))))) into 0
7.010 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow (sin kx) 2))))) into 0
7.010 * [taylor]: Taking taylor expansion of (sin ky) in ky
7.010 * [taylor]: Taking taylor expansion of ky in ky
7.010 * [backup-simplify]: Simplify 0 into 0
7.010 * [backup-simplify]: Simplify 1 into 1
7.011 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.011 * [backup-simplify]: Simplify (+ (* (/ 1 (sin kx)) 1) (* 0 0)) into (/ 1 (sin kx))
7.011 * [backup-simplify]: Simplify (* (/ 1 (sin kx)) 0) into 0
7.011 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1 (sin kx))) (* 0 0)) into (* 1/6 (/ 1 (sin kx)))
7.011 * [backup-simplify]: Simplify (- (* 1/6 (/ 1 (sin kx)))) into (- (* 1/6 (/ 1 (sin kx))))
7.011 * [taylor]: Taking taylor expansion of (- (* 1/6 (/ 1 (sin kx)))) in kx
7.011 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (sin kx))) in kx
7.011 * [taylor]: Taking taylor expansion of 1/6 in kx
7.011 * [backup-simplify]: Simplify 1/6 into 1/6
7.011 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx
7.011 * [taylor]: Taking taylor expansion of (sin kx) in kx
7.011 * [taylor]: Taking taylor expansion of kx in kx
7.012 * [backup-simplify]: Simplify 0 into 0
7.012 * [backup-simplify]: Simplify 1 into 1
7.012 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.012 * [backup-simplify]: Simplify (/ 1 1) into 1
7.013 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.013 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.014 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 1)) into 0
7.014 * [backup-simplify]: Simplify (- 0) into 0
7.014 * [backup-simplify]: Simplify 0 into 0
7.014 * [taylor]: Taking taylor expansion of 0 in kx
7.014 * [backup-simplify]: Simplify 0 into 0
7.014 * [backup-simplify]: Simplify 0 into 0
7.015 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
7.016 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.016 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.017 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.017 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.018 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
7.018 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
7.019 * [backup-simplify]: Simplify (+ 0 0) into 0
7.019 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin kx))))) into 0
7.019 * [backup-simplify]: Simplify (+ 0 0) into 0
7.020 * [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
7.020 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow (sin kx) 3)))))) (* 2 (/ 1 (sin kx)))) into 0
7.020 * [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)))))
7.020 * [taylor]: Taking taylor expansion of (- (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))) in kx
7.020 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))) in kx
7.021 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (sin kx))) in kx
7.021 * [taylor]: Taking taylor expansion of 1/6 in kx
7.021 * [backup-simplify]: Simplify 1/6 into 1/6
7.021 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx
7.021 * [taylor]: Taking taylor expansion of (sin kx) in kx
7.021 * [taylor]: Taking taylor expansion of kx in kx
7.021 * [backup-simplify]: Simplify 0 into 0
7.021 * [backup-simplify]: Simplify 1 into 1
7.021 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.021 * [backup-simplify]: Simplify (/ 1 1) into 1
7.021 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow (sin kx) 3))) in kx
7.021 * [taylor]: Taking taylor expansion of 1/2 in kx
7.021 * [backup-simplify]: Simplify 1/2 into 1/2
7.021 * [taylor]: Taking taylor expansion of (/ 1 (pow (sin kx) 3)) in kx
7.021 * [taylor]: Taking taylor expansion of (pow (sin kx) 3) in kx
7.021 * [taylor]: Taking taylor expansion of (sin kx) in kx
7.021 * [taylor]: Taking taylor expansion of kx in kx
7.021 * [backup-simplify]: Simplify 0 into 0
7.021 * [backup-simplify]: Simplify 1 into 1
7.022 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.022 * [backup-simplify]: Simplify (* 1 1) into 1
7.022 * [backup-simplify]: Simplify (* 1 1) into 1
7.023 * [backup-simplify]: Simplify (/ 1 1) into 1
7.023 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.024 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 1)) into 0
7.025 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
7.025 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.026 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
7.027 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0
7.027 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3
7.028 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.029 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/3) (+ (* -1/6 0) (* 0 1)))) into 0
7.029 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.030 * [backup-simplify]: Simplify (+ (* 1 -1/3) (+ (* 0 0) (* -1/6 1))) into -1/2
7.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/2 1)) (* 0 (/ 0 1)))) into 1/2
7.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/2 1)) (* 1/2 (/ 0 1)))) into 0
7.033 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1/2) (+ (* 0 0) (* 0 1)))) into 0
7.033 * [backup-simplify]: Simplify (+ 0 0) into 0
7.033 * [backup-simplify]: Simplify (- 0) into 0
7.033 * [backup-simplify]: Simplify 0 into 0
7.033 * [backup-simplify]: Simplify 0 into 0
7.033 * [backup-simplify]: Simplify 0 into 0
7.034 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
7.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/6 1)) (* 1/6 (/ 0 1)))) into 0
7.035 * [backup-simplify]: Simplify 0 into 0
7.035 * [backup-simplify]: Simplify (* 1/6 (* kx (* ky th))) into (* 1/6 (* kx (* ky th)))
7.035 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (/ (sin (/ 1 ky)) (* 1 (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))))) into (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx))))
7.035 * [approximate]: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in (th ky kx) around 0
7.035 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in kx
7.035 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in kx
7.035 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in kx
7.035 * [taylor]: Taking taylor expansion of (/ 1 th) in kx
7.035 * [taylor]: Taking taylor expansion of th in kx
7.035 * [backup-simplify]: Simplify th into th
7.035 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
7.035 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
7.035 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
7.035 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
7.035 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
7.035 * [taylor]: Taking taylor expansion of ky in kx
7.035 * [backup-simplify]: Simplify ky into ky
7.035 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
7.035 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.036 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
7.036 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in kx
7.036 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
7.036 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in kx
7.036 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in kx
7.036 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
7.036 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
7.036 * [taylor]: Taking taylor expansion of ky in kx
7.036 * [backup-simplify]: Simplify ky into ky
7.036 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
7.036 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.036 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
7.036 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
7.036 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
7.036 * [taylor]: Taking taylor expansion of ky in kx
7.036 * [backup-simplify]: Simplify ky into ky
7.036 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
7.036 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.036 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
7.036 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in kx
7.036 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
7.036 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
7.036 * [taylor]: Taking taylor expansion of kx in kx
7.036 * [backup-simplify]: Simplify 0 into 0
7.036 * [backup-simplify]: Simplify 1 into 1
7.036 * [backup-simplify]: Simplify (/ 1 1) into 1
7.036 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
7.036 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
7.036 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
7.036 * [taylor]: Taking taylor expansion of kx in kx
7.036 * [backup-simplify]: Simplify 0 into 0
7.037 * [backup-simplify]: Simplify 1 into 1
7.037 * [backup-simplify]: Simplify (/ 1 1) into 1
7.037 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
7.037 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
7.037 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
7.037 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
7.037 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
7.037 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
7.037 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
7.037 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
7.037 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
7.037 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
7.038 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
7.038 * [backup-simplify]: Simplify (+ 0) into 0
7.038 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
7.038 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
7.039 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.039 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
7.039 * [backup-simplify]: Simplify (+ 0 0) into 0
7.039 * [backup-simplify]: Simplify (+ 0) into 0
7.040 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
7.040 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
7.040 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.041 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
7.041 * [backup-simplify]: Simplify (+ 0 0) into 0
7.041 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
7.041 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
7.041 * [backup-simplify]: Simplify (+ 0 0) into 0
7.041 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
7.042 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
7.042 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
7.042 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
7.042 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
7.042 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
7.042 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
7.042 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
7.042 * [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)))))
7.042 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in ky
7.042 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in ky
7.042 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in ky
7.042 * [taylor]: Taking taylor expansion of (/ 1 th) in ky
7.042 * [taylor]: Taking taylor expansion of th in ky
7.042 * [backup-simplify]: Simplify th into th
7.042 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
7.042 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
7.042 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
7.042 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
7.042 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
7.042 * [taylor]: Taking taylor expansion of ky in ky
7.042 * [backup-simplify]: Simplify 0 into 0
7.042 * [backup-simplify]: Simplify 1 into 1
7.043 * [backup-simplify]: Simplify (/ 1 1) into 1
7.043 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.043 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky
7.043 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
7.043 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky
7.043 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
7.043 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
7.043 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
7.043 * [taylor]: Taking taylor expansion of ky in ky
7.043 * [backup-simplify]: Simplify 0 into 0
7.043 * [backup-simplify]: Simplify 1 into 1
7.043 * [backup-simplify]: Simplify (/ 1 1) into 1
7.043 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.043 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
7.043 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
7.043 * [taylor]: Taking taylor expansion of ky in ky
7.043 * [backup-simplify]: Simplify 0 into 0
7.043 * [backup-simplify]: Simplify 1 into 1
7.043 * [backup-simplify]: Simplify (/ 1 1) into 1
7.044 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.044 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
7.044 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
7.044 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
7.044 * [taylor]: Taking taylor expansion of kx in ky
7.044 * [backup-simplify]: Simplify kx into kx
7.044 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
7.044 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
7.044 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
7.044 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
7.044 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
7.044 * [taylor]: Taking taylor expansion of kx in ky
7.044 * [backup-simplify]: Simplify kx into kx
7.044 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
7.044 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
7.044 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
7.044 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
7.044 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
7.044 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
7.044 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
7.044 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
7.044 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
7.044 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
7.044 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
7.044 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
7.045 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
7.045 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
7.045 * [backup-simplify]: Simplify (+ 0) into 0
7.045 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
7.045 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
7.046 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.046 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
7.046 * [backup-simplify]: Simplify (+ 0 0) into 0
7.047 * [backup-simplify]: Simplify (+ 0) into 0
7.047 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
7.047 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
7.048 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.048 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
7.048 * [backup-simplify]: Simplify (+ 0 0) into 0
7.048 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
7.048 * [backup-simplify]: Simplify (+ 0 0) into 0
7.049 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
7.049 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
7.049 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
7.049 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
7.049 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
7.049 * [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)))))
7.049 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in th
7.049 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in th
7.049 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in th
7.049 * [taylor]: Taking taylor expansion of (/ 1 th) in th
7.049 * [taylor]: Taking taylor expansion of th in th
7.049 * [backup-simplify]: Simplify 0 into 0
7.049 * [backup-simplify]: Simplify 1 into 1
7.050 * [backup-simplify]: Simplify (/ 1 1) into 1
7.050 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
7.050 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
7.050 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
7.050 * [taylor]: Taking taylor expansion of ky in th
7.050 * [backup-simplify]: Simplify ky into ky
7.050 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
7.050 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.050 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
7.050 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in th
7.050 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
7.050 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in th
7.050 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in th
7.050 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
7.050 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
7.050 * [taylor]: Taking taylor expansion of ky in th
7.050 * [backup-simplify]: Simplify ky into ky
7.050 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
7.050 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.050 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
7.050 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
7.050 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
7.050 * [taylor]: Taking taylor expansion of ky in th
7.050 * [backup-simplify]: Simplify ky into ky
7.050 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
7.050 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.050 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
7.050 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in th
7.050 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in th
7.050 * [taylor]: Taking taylor expansion of (/ 1 kx) in th
7.050 * [taylor]: Taking taylor expansion of kx in th
7.050 * [backup-simplify]: Simplify kx into kx
7.050 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
7.050 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
7.050 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
7.051 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in th
7.051 * [taylor]: Taking taylor expansion of (/ 1 kx) in th
7.051 * [taylor]: Taking taylor expansion of kx in th
7.051 * [backup-simplify]: Simplify kx into kx
7.051 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
7.051 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
7.051 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
7.051 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
7.051 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
7.051 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
7.051 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
7.051 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
7.051 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
7.051 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
7.051 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
7.051 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
7.051 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
7.051 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
7.051 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
7.051 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
7.051 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
7.052 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
7.052 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
7.052 * [backup-simplify]: Simplify (+ 0) into 0
7.052 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
7.052 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
7.053 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.053 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
7.053 * [backup-simplify]: Simplify (+ 0 0) into 0
7.054 * [backup-simplify]: Simplify (+ 0) into 0
7.054 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
7.054 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
7.055 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.055 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
7.055 * [backup-simplify]: Simplify (+ 0 0) into 0
7.055 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
7.055 * [backup-simplify]: Simplify (+ 0) into 0
7.056 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
7.056 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
7.056 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.057 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
7.057 * [backup-simplify]: Simplify (+ 0 0) into 0
7.057 * [backup-simplify]: Simplify (+ 0) into 0
7.057 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
7.058 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
7.058 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.058 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
7.059 * [backup-simplify]: Simplify (+ 0 0) into 0
7.059 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
7.059 * [backup-simplify]: Simplify (+ 0 0) into 0
7.059 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
7.059 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
7.059 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
7.059 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
7.059 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
7.060 * [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)))))
7.060 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in th
7.060 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in th
7.060 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in th
7.060 * [taylor]: Taking taylor expansion of (/ 1 th) in th
7.060 * [taylor]: Taking taylor expansion of th in th
7.060 * [backup-simplify]: Simplify 0 into 0
7.060 * [backup-simplify]: Simplify 1 into 1
7.060 * [backup-simplify]: Simplify (/ 1 1) into 1
7.060 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
7.060 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
7.060 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
7.060 * [taylor]: Taking taylor expansion of ky in th
7.060 * [backup-simplify]: Simplify ky into ky
7.060 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
7.060 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.060 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
7.060 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in th
7.060 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
7.060 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in th
7.060 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in th
7.060 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
7.060 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
7.060 * [taylor]: Taking taylor expansion of ky in th
7.060 * [backup-simplify]: Simplify ky into ky
7.060 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
7.060 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.060 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
7.060 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
7.061 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
7.061 * [taylor]: Taking taylor expansion of ky in th
7.061 * [backup-simplify]: Simplify ky into ky
7.061 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
7.061 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.061 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
7.061 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in th
7.061 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in th
7.061 * [taylor]: Taking taylor expansion of (/ 1 kx) in th
7.061 * [taylor]: Taking taylor expansion of kx in th
7.061 * [backup-simplify]: Simplify kx into kx
7.061 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
7.061 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
7.061 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
7.061 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in th
7.061 * [taylor]: Taking taylor expansion of (/ 1 kx) in th
7.061 * [taylor]: Taking taylor expansion of kx in th
7.061 * [backup-simplify]: Simplify kx into kx
7.061 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
7.061 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
7.061 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
7.061 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
7.061 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
7.061 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
7.061 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
7.061 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
7.061 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
7.061 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
7.061 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
7.062 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
7.062 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
7.062 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
7.062 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
7.062 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
7.062 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
7.062 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
7.062 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
7.062 * [backup-simplify]: Simplify (+ 0) into 0
7.063 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
7.063 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
7.063 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.064 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
7.064 * [backup-simplify]: Simplify (+ 0 0) into 0
7.064 * [backup-simplify]: Simplify (+ 0) into 0
7.064 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
7.064 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
7.065 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.065 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
7.065 * [backup-simplify]: Simplify (+ 0 0) into 0
7.066 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
7.066 * [backup-simplify]: Simplify (+ 0) into 0
7.066 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
7.066 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
7.067 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.067 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
7.067 * [backup-simplify]: Simplify (+ 0 0) into 0
7.068 * [backup-simplify]: Simplify (+ 0) into 0
7.068 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
7.068 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
7.068 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.069 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
7.069 * [backup-simplify]: Simplify (+ 0 0) into 0
7.069 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
7.069 * [backup-simplify]: Simplify (+ 0 0) into 0
7.070 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
7.070 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
7.070 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
7.070 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
7.070 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
7.070 * [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)))))
7.070 * [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
7.070 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in ky
7.070 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in ky
7.070 * [taylor]: Taking taylor expansion of (/ 1 th) in ky
7.070 * [taylor]: Taking taylor expansion of th in ky
7.070 * [backup-simplify]: Simplify th into th
7.070 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
7.070 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
7.070 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
7.070 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
7.070 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
7.070 * [taylor]: Taking taylor expansion of ky in ky
7.070 * [backup-simplify]: Simplify 0 into 0
7.070 * [backup-simplify]: Simplify 1 into 1
7.071 * [backup-simplify]: Simplify (/ 1 1) into 1
7.071 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.071 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in ky
7.071 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in ky
7.071 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in ky
7.071 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in ky
7.071 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
7.071 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
7.071 * [taylor]: Taking taylor expansion of kx in ky
7.071 * [backup-simplify]: Simplify kx into kx
7.071 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
7.071 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
7.071 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
7.071 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
7.071 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
7.071 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
7.071 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in ky
7.071 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
7.071 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
7.071 * [taylor]: Taking taylor expansion of ky in ky
7.071 * [backup-simplify]: Simplify 0 into 0
7.071 * [backup-simplify]: Simplify 1 into 1
7.072 * [backup-simplify]: Simplify (/ 1 1) into 1
7.072 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.072 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
7.072 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
7.072 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
7.072 * [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)))
7.073 * [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))))
7.073 * [backup-simplify]: Simplify (+ 0) into 0
7.073 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
7.073 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
7.074 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.074 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
7.074 * [backup-simplify]: Simplify (+ 0 0) into 0
7.074 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
7.074 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
7.075 * [backup-simplify]: Simplify (+ 0 0) into 0
7.075 * [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
7.075 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
7.075 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
7.075 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
7.075 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
7.075 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
7.076 * [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)))))
7.076 * [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
7.076 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in kx
7.076 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in kx
7.076 * [taylor]: Taking taylor expansion of (/ 1 th) in kx
7.076 * [taylor]: Taking taylor expansion of th in kx
7.076 * [backup-simplify]: Simplify th into th
7.076 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
7.076 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
7.076 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
7.076 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
7.076 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
7.076 * [taylor]: Taking taylor expansion of ky in kx
7.076 * [backup-simplify]: Simplify ky into ky
7.076 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
7.076 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.076 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
7.076 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in kx
7.076 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx
7.076 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx
7.076 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx
7.076 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
7.076 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
7.076 * [taylor]: Taking taylor expansion of kx in kx
7.076 * [backup-simplify]: Simplify 0 into 0
7.076 * [backup-simplify]: Simplify 1 into 1
7.076 * [backup-simplify]: Simplify (/ 1 1) into 1
7.077 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
7.077 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx
7.077 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
7.077 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
7.077 * [taylor]: Taking taylor expansion of ky in kx
7.077 * [backup-simplify]: Simplify ky into ky
7.077 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
7.077 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.077 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
7.077 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
7.077 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
7.077 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
7.077 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
7.077 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
7.077 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
7.077 * [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)))
7.077 * [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))))
7.078 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
7.078 * [backup-simplify]: Simplify (+ 0) into 0
7.078 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
7.078 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
7.079 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.079 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
7.079 * [backup-simplify]: Simplify (+ 0 0) into 0
7.079 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
7.080 * [backup-simplify]: Simplify (+ 0 0) into 0
7.080 * [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
7.080 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
7.080 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
7.080 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
7.081 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
7.081 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
7.081 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
7.081 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
7.081 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
7.081 * [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)))))
7.081 * [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)))))
7.082 * [backup-simplify]: Simplify (+ 0) into 0
7.082 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
7.082 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
7.082 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.083 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
7.083 * [backup-simplify]: Simplify (+ 0 0) into 0
7.083 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 (sin (/ 1 ky)))) into 0
7.084 * [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
7.084 * [taylor]: Taking taylor expansion of 0 in ky
7.084 * [backup-simplify]: Simplify 0 into 0
7.084 * [taylor]: Taking taylor expansion of 0 in kx
7.084 * [backup-simplify]: Simplify 0 into 0
7.084 * [backup-simplify]: Simplify 0 into 0
7.084 * [backup-simplify]: Simplify (+ 0) into 0
7.084 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 1)) into 0
7.085 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
7.085 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.085 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 0)) into 0
7.086 * [backup-simplify]: Simplify (+ 0 0) into 0
7.086 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 (sin (/ 1 ky)))) into 0
7.086 * [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
7.086 * [taylor]: Taking taylor expansion of 0 in kx
7.086 * [backup-simplify]: Simplify 0 into 0
7.086 * [backup-simplify]: Simplify 0 into 0
7.086 * [backup-simplify]: Simplify (+ 0) into 0
7.087 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
7.087 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
7.087 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.087 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
7.088 * [backup-simplify]: Simplify (+ 0 0) into 0
7.088 * [backup-simplify]: Simplify (+ 0) into 0
7.088 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 1)) into 0
7.088 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
7.089 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.089 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 0)) into 0
7.089 * [backup-simplify]: Simplify (+ 0 0) into 0
7.089 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 (sin (/ 1 ky)))) into 0
7.090 * [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
7.090 * [backup-simplify]: Simplify 0 into 0
7.090 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.091 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
7.091 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
7.091 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.092 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
7.092 * [backup-simplify]: Simplify (+ 0 0) into 0
7.092 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
7.093 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.093 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
7.093 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
7.094 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.094 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
7.094 * [backup-simplify]: Simplify (+ 0 0) into 0
7.095 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.095 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
7.095 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
7.096 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.096 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
7.097 * [backup-simplify]: Simplify (+ 0 0) into 0
7.097 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
7.097 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.098 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
7.098 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
7.098 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.099 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
7.099 * [backup-simplify]: Simplify (+ 0 0) into 0
7.100 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.100 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
7.100 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
7.102 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.102 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
7.103 * [backup-simplify]: Simplify (+ 0 0) into 0
7.103 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
7.103 * [backup-simplify]: Simplify (+ 0 0) into 0
7.104 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
7.104 * [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
7.105 * [taylor]: Taking taylor expansion of 0 in ky
7.105 * [backup-simplify]: Simplify 0 into 0
7.105 * [taylor]: Taking taylor expansion of 0 in kx
7.105 * [backup-simplify]: Simplify 0 into 0
7.105 * [backup-simplify]: Simplify 0 into 0
7.105 * [taylor]: Taking taylor expansion of 0 in kx
7.105 * [backup-simplify]: Simplify 0 into 0
7.105 * [backup-simplify]: Simplify 0 into 0
7.105 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.106 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
7.106 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
7.106 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.107 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
7.107 * [backup-simplify]: Simplify (+ 0 0) into 0
7.107 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
7.108 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
7.108 * [backup-simplify]: Simplify (+ 0 0) into 0
7.109 * [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
7.110 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
7.110 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.111 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
7.111 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
7.112 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.113 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
7.113 * [backup-simplify]: Simplify (+ 0 0) into 0
7.114 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
7.115 * [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
7.115 * [taylor]: Taking taylor expansion of 0 in kx
7.115 * [backup-simplify]: Simplify 0 into 0
7.115 * [backup-simplify]: Simplify 0 into 0
7.115 * [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)))
7.116 * [backup-simplify]: Simplify (* (sin (/ 1 (- th))) (/ (sin (/ 1 (- ky))) (* 1 (hypot (sin (/ 1 (- ky))) (sin (/ 1 (- kx))))))) into (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx))))
7.116 * [approximate]: Taking taylor expansion of (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in (th ky kx) around 0
7.116 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in kx
7.116 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in kx
7.116 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in kx
7.116 * [taylor]: Taking taylor expansion of (/ -1 th) in kx
7.116 * [taylor]: Taking taylor expansion of -1 in kx
7.116 * [backup-simplify]: Simplify -1 into -1
7.116 * [taylor]: Taking taylor expansion of th in kx
7.116 * [backup-simplify]: Simplify th into th
7.116 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
7.116 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
7.116 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
7.116 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
7.116 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
7.116 * [taylor]: Taking taylor expansion of -1 in kx
7.116 * [backup-simplify]: Simplify -1 into -1
7.117 * [taylor]: Taking taylor expansion of ky in kx
7.117 * [backup-simplify]: Simplify ky into ky
7.117 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
7.117 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.117 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
7.117 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in kx
7.117 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
7.117 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in kx
7.117 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in kx
7.117 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
7.117 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
7.117 * [taylor]: Taking taylor expansion of -1 in kx
7.117 * [backup-simplify]: Simplify -1 into -1
7.117 * [taylor]: Taking taylor expansion of ky in kx
7.117 * [backup-simplify]: Simplify ky into ky
7.117 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
7.117 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.117 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
7.117 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
7.117 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
7.117 * [taylor]: Taking taylor expansion of -1 in kx
7.117 * [backup-simplify]: Simplify -1 into -1
7.117 * [taylor]: Taking taylor expansion of ky in kx
7.117 * [backup-simplify]: Simplify ky into ky
7.117 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
7.118 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.118 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
7.118 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in kx
7.118 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
7.118 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
7.118 * [taylor]: Taking taylor expansion of -1 in kx
7.118 * [backup-simplify]: Simplify -1 into -1
7.118 * [taylor]: Taking taylor expansion of kx in kx
7.118 * [backup-simplify]: Simplify 0 into 0
7.118 * [backup-simplify]: Simplify 1 into 1
7.118 * [backup-simplify]: Simplify (/ -1 1) into -1
7.119 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
7.119 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
7.119 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
7.119 * [taylor]: Taking taylor expansion of -1 in kx
7.119 * [backup-simplify]: Simplify -1 into -1
7.119 * [taylor]: Taking taylor expansion of kx in kx
7.119 * [backup-simplify]: Simplify 0 into 0
7.119 * [backup-simplify]: Simplify 1 into 1
7.119 * [backup-simplify]: Simplify (/ -1 1) into -1
7.119 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
7.119 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
7.119 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
7.120 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
7.120 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
7.120 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
7.120 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
7.120 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
7.120 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
7.120 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
7.121 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
7.121 * [backup-simplify]: Simplify (+ 0) into 0
7.121 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
7.122 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
7.122 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.123 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
7.123 * [backup-simplify]: Simplify (+ 0 0) into 0
7.124 * [backup-simplify]: Simplify (+ 0) into 0
7.124 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
7.124 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
7.125 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.126 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
7.126 * [backup-simplify]: Simplify (+ 0 0) into 0
7.126 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
7.126 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
7.127 * [backup-simplify]: Simplify (+ 0 0) into 0
7.127 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
7.127 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
7.127 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
7.127 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
7.127 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
7.127 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
7.127 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
7.127 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
7.128 * [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)))))
7.128 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in ky
7.128 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in ky
7.128 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in ky
7.128 * [taylor]: Taking taylor expansion of (/ -1 th) in ky
7.128 * [taylor]: Taking taylor expansion of -1 in ky
7.128 * [backup-simplify]: Simplify -1 into -1
7.128 * [taylor]: Taking taylor expansion of th in ky
7.128 * [backup-simplify]: Simplify th into th
7.128 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
7.128 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
7.128 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
7.128 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
7.128 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
7.128 * [taylor]: Taking taylor expansion of -1 in ky
7.128 * [backup-simplify]: Simplify -1 into -1
7.128 * [taylor]: Taking taylor expansion of ky in ky
7.128 * [backup-simplify]: Simplify 0 into 0
7.128 * [backup-simplify]: Simplify 1 into 1
7.129 * [backup-simplify]: Simplify (/ -1 1) into -1
7.129 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.129 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in ky
7.129 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
7.129 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in ky
7.129 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
7.129 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
7.129 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
7.129 * [taylor]: Taking taylor expansion of -1 in ky
7.129 * [backup-simplify]: Simplify -1 into -1
7.129 * [taylor]: Taking taylor expansion of ky in ky
7.129 * [backup-simplify]: Simplify 0 into 0
7.129 * [backup-simplify]: Simplify 1 into 1
7.130 * [backup-simplify]: Simplify (/ -1 1) into -1
7.130 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.130 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
7.130 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
7.130 * [taylor]: Taking taylor expansion of -1 in ky
7.130 * [backup-simplify]: Simplify -1 into -1
7.130 * [taylor]: Taking taylor expansion of ky in ky
7.130 * [backup-simplify]: Simplify 0 into 0
7.130 * [backup-simplify]: Simplify 1 into 1
7.131 * [backup-simplify]: Simplify (/ -1 1) into -1
7.131 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.131 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
7.131 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
7.131 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
7.131 * [taylor]: Taking taylor expansion of -1 in ky
7.131 * [backup-simplify]: Simplify -1 into -1
7.131 * [taylor]: Taking taylor expansion of kx in ky
7.131 * [backup-simplify]: Simplify kx into kx
7.131 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
7.131 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
7.132 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
7.132 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
7.132 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
7.132 * [taylor]: Taking taylor expansion of -1 in ky
7.132 * [backup-simplify]: Simplify -1 into -1
7.132 * [taylor]: Taking taylor expansion of kx in ky
7.132 * [backup-simplify]: Simplify kx into kx
7.132 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
7.132 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
7.132 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
7.132 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
7.132 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
7.132 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
7.132 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
7.132 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
7.133 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
7.133 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
7.133 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
7.133 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
7.133 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
7.134 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
7.134 * [backup-simplify]: Simplify (+ 0) into 0
7.135 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
7.135 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
7.136 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.136 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
7.136 * [backup-simplify]: Simplify (+ 0 0) into 0
7.137 * [backup-simplify]: Simplify (+ 0) into 0
7.137 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
7.138 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
7.138 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.139 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
7.139 * [backup-simplify]: Simplify (+ 0 0) into 0
7.139 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
7.140 * [backup-simplify]: Simplify (+ 0 0) into 0
7.140 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
7.140 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
7.140 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
7.140 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
7.140 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
7.141 * [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)))))
7.141 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in th
7.141 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in th
7.141 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in th
7.141 * [taylor]: Taking taylor expansion of (/ -1 th) in th
7.141 * [taylor]: Taking taylor expansion of -1 in th
7.141 * [backup-simplify]: Simplify -1 into -1
7.141 * [taylor]: Taking taylor expansion of th in th
7.141 * [backup-simplify]: Simplify 0 into 0
7.141 * [backup-simplify]: Simplify 1 into 1
7.141 * [backup-simplify]: Simplify (/ -1 1) into -1
7.142 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
7.142 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
7.142 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
7.142 * [taylor]: Taking taylor expansion of -1 in th
7.142 * [backup-simplify]: Simplify -1 into -1
7.142 * [taylor]: Taking taylor expansion of ky in th
7.142 * [backup-simplify]: Simplify ky into ky
7.142 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
7.142 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.142 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
7.142 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in th
7.142 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
7.142 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in th
7.142 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in th
7.142 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
7.142 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
7.142 * [taylor]: Taking taylor expansion of -1 in th
7.142 * [backup-simplify]: Simplify -1 into -1
7.142 * [taylor]: Taking taylor expansion of ky in th
7.142 * [backup-simplify]: Simplify ky into ky
7.142 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
7.142 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.142 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
7.142 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
7.142 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
7.142 * [taylor]: Taking taylor expansion of -1 in th
7.142 * [backup-simplify]: Simplify -1 into -1
7.142 * [taylor]: Taking taylor expansion of ky in th
7.143 * [backup-simplify]: Simplify ky into ky
7.143 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
7.143 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.143 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
7.143 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in th
7.143 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in th
7.143 * [taylor]: Taking taylor expansion of (/ -1 kx) in th
7.143 * [taylor]: Taking taylor expansion of -1 in th
7.143 * [backup-simplify]: Simplify -1 into -1
7.143 * [taylor]: Taking taylor expansion of kx in th
7.143 * [backup-simplify]: Simplify kx into kx
7.143 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
7.143 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
7.143 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
7.143 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in th
7.143 * [taylor]: Taking taylor expansion of (/ -1 kx) in th
7.143 * [taylor]: Taking taylor expansion of -1 in th
7.143 * [backup-simplify]: Simplify -1 into -1
7.143 * [taylor]: Taking taylor expansion of kx in th
7.143 * [backup-simplify]: Simplify kx into kx
7.143 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
7.143 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
7.143 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
7.143 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
7.144 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
7.144 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
7.144 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
7.144 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
7.144 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
7.144 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
7.144 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
7.144 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
7.144 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
7.144 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
7.144 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
7.145 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
7.145 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
7.145 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
7.145 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
7.146 * [backup-simplify]: Simplify (+ 0) into 0
7.146 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
7.146 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
7.147 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.148 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
7.148 * [backup-simplify]: Simplify (+ 0 0) into 0
7.148 * [backup-simplify]: Simplify (+ 0) into 0
7.149 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
7.149 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
7.150 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.150 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
7.151 * [backup-simplify]: Simplify (+ 0 0) into 0
7.151 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
7.151 * [backup-simplify]: Simplify (+ 0) into 0
7.152 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
7.152 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
7.153 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.153 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
7.154 * [backup-simplify]: Simplify (+ 0 0) into 0
7.154 * [backup-simplify]: Simplify (+ 0) into 0
7.155 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
7.155 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
7.156 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.156 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
7.156 * [backup-simplify]: Simplify (+ 0 0) into 0
7.156 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
7.157 * [backup-simplify]: Simplify (+ 0 0) into 0
7.157 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
7.157 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
7.157 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
7.157 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
7.158 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
7.158 * [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)))))
7.158 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in th
7.158 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in th
7.158 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in th
7.158 * [taylor]: Taking taylor expansion of (/ -1 th) in th
7.158 * [taylor]: Taking taylor expansion of -1 in th
7.158 * [backup-simplify]: Simplify -1 into -1
7.158 * [taylor]: Taking taylor expansion of th in th
7.158 * [backup-simplify]: Simplify 0 into 0
7.158 * [backup-simplify]: Simplify 1 into 1
7.159 * [backup-simplify]: Simplify (/ -1 1) into -1
7.159 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
7.159 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
7.159 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
7.159 * [taylor]: Taking taylor expansion of -1 in th
7.159 * [backup-simplify]: Simplify -1 into -1
7.159 * [taylor]: Taking taylor expansion of ky in th
7.159 * [backup-simplify]: Simplify ky into ky
7.159 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
7.159 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.159 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
7.159 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in th
7.159 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
7.159 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in th
7.159 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in th
7.159 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
7.159 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
7.159 * [taylor]: Taking taylor expansion of -1 in th
7.159 * [backup-simplify]: Simplify -1 into -1
7.159 * [taylor]: Taking taylor expansion of ky in th
7.159 * [backup-simplify]: Simplify ky into ky
7.159 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
7.159 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.159 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
7.160 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
7.160 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
7.160 * [taylor]: Taking taylor expansion of -1 in th
7.160 * [backup-simplify]: Simplify -1 into -1
7.160 * [taylor]: Taking taylor expansion of ky in th
7.160 * [backup-simplify]: Simplify ky into ky
7.160 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
7.160 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.160 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
7.160 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in th
7.160 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in th
7.160 * [taylor]: Taking taylor expansion of (/ -1 kx) in th
7.160 * [taylor]: Taking taylor expansion of -1 in th
7.160 * [backup-simplify]: Simplify -1 into -1
7.160 * [taylor]: Taking taylor expansion of kx in th
7.160 * [backup-simplify]: Simplify kx into kx
7.160 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
7.160 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
7.160 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
7.160 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in th
7.160 * [taylor]: Taking taylor expansion of (/ -1 kx) in th
7.160 * [taylor]: Taking taylor expansion of -1 in th
7.160 * [backup-simplify]: Simplify -1 into -1
7.160 * [taylor]: Taking taylor expansion of kx in th
7.160 * [backup-simplify]: Simplify kx into kx
7.160 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
7.161 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
7.161 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
7.161 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
7.161 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
7.161 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
7.161 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
7.161 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
7.161 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
7.161 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
7.161 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
7.161 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
7.162 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
7.162 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
7.162 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
7.162 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
7.162 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
7.162 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
7.162 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
7.163 * [backup-simplify]: Simplify (+ 0) into 0
7.163 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
7.164 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
7.164 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.165 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
7.165 * [backup-simplify]: Simplify (+ 0 0) into 0
7.166 * [backup-simplify]: Simplify (+ 0) into 0
7.166 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
7.166 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
7.167 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.168 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
7.168 * [backup-simplify]: Simplify (+ 0 0) into 0
7.168 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
7.169 * [backup-simplify]: Simplify (+ 0) into 0
7.169 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
7.169 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
7.170 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.171 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
7.171 * [backup-simplify]: Simplify (+ 0 0) into 0
7.171 * [backup-simplify]: Simplify (+ 0) into 0
7.172 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
7.172 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
7.173 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.173 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
7.174 * [backup-simplify]: Simplify (+ 0 0) into 0
7.174 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
7.174 * [backup-simplify]: Simplify (+ 0 0) into 0
7.174 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
7.175 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
7.175 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
7.175 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
7.175 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
7.175 * [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)))))
7.175 * [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
7.175 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in ky
7.175 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in ky
7.175 * [taylor]: Taking taylor expansion of (/ -1 th) in ky
7.175 * [taylor]: Taking taylor expansion of -1 in ky
7.176 * [backup-simplify]: Simplify -1 into -1
7.176 * [taylor]: Taking taylor expansion of th in ky
7.176 * [backup-simplify]: Simplify th into th
7.176 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
7.176 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
7.176 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
7.176 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
7.176 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
7.176 * [taylor]: Taking taylor expansion of -1 in ky
7.176 * [backup-simplify]: Simplify -1 into -1
7.176 * [taylor]: Taking taylor expansion of ky in ky
7.176 * [backup-simplify]: Simplify 0 into 0
7.176 * [backup-simplify]: Simplify 1 into 1
7.176 * [backup-simplify]: Simplify (/ -1 1) into -1
7.177 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.177 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in ky
7.177 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in ky
7.177 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in ky
7.177 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in ky
7.177 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
7.177 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
7.177 * [taylor]: Taking taylor expansion of -1 in ky
7.177 * [backup-simplify]: Simplify -1 into -1
7.177 * [taylor]: Taking taylor expansion of kx in ky
7.177 * [backup-simplify]: Simplify kx into kx
7.177 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
7.177 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
7.177 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
7.177 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
7.177 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
7.177 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
7.177 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in ky
7.177 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
7.177 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
7.177 * [taylor]: Taking taylor expansion of -1 in ky
7.177 * [backup-simplify]: Simplify -1 into -1
7.177 * [taylor]: Taking taylor expansion of ky in ky
7.178 * [backup-simplify]: Simplify 0 into 0
7.178 * [backup-simplify]: Simplify 1 into 1
7.178 * [backup-simplify]: Simplify (/ -1 1) into -1
7.178 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.178 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
7.178 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
7.179 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
7.179 * [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)))
7.179 * [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))))
7.180 * [backup-simplify]: Simplify (+ 0) into 0
7.180 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
7.180 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
7.181 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.182 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
7.182 * [backup-simplify]: Simplify (+ 0 0) into 0
7.182 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
7.182 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
7.183 * [backup-simplify]: Simplify (+ 0 0) into 0
7.183 * [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
7.184 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
7.184 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
7.184 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
7.184 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
7.184 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
7.184 * [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)))))
7.184 * [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
7.184 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in kx
7.184 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in kx
7.184 * [taylor]: Taking taylor expansion of (/ -1 th) in kx
7.184 * [taylor]: Taking taylor expansion of -1 in kx
7.185 * [backup-simplify]: Simplify -1 into -1
7.185 * [taylor]: Taking taylor expansion of th in kx
7.185 * [backup-simplify]: Simplify th into th
7.185 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
7.185 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
7.185 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
7.185 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
7.185 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
7.185 * [taylor]: Taking taylor expansion of -1 in kx
7.185 * [backup-simplify]: Simplify -1 into -1
7.185 * [taylor]: Taking taylor expansion of ky in kx
7.185 * [backup-simplify]: Simplify ky into ky
7.185 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
7.185 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.185 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
7.185 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in kx
7.185 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx
7.185 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx
7.185 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx
7.185 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
7.185 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
7.185 * [taylor]: Taking taylor expansion of -1 in kx
7.185 * [backup-simplify]: Simplify -1 into -1
7.185 * [taylor]: Taking taylor expansion of kx in kx
7.185 * [backup-simplify]: Simplify 0 into 0
7.185 * [backup-simplify]: Simplify 1 into 1
7.186 * [backup-simplify]: Simplify (/ -1 1) into -1
7.186 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
7.186 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx
7.186 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
7.186 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
7.186 * [taylor]: Taking taylor expansion of -1 in kx
7.186 * [backup-simplify]: Simplify -1 into -1
7.186 * [taylor]: Taking taylor expansion of ky in kx
7.186 * [backup-simplify]: Simplify ky into ky
7.186 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
7.186 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.186 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
7.186 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
7.187 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
7.187 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
7.187 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
7.187 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
7.187 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
7.187 * [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)))
7.188 * [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))))
7.188 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
7.188 * [backup-simplify]: Simplify (+ 0) into 0
7.189 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
7.189 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
7.190 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.190 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
7.191 * [backup-simplify]: Simplify (+ 0 0) into 0
7.191 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
7.192 * [backup-simplify]: Simplify (+ 0 0) into 0
7.192 * [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
7.192 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
7.192 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
7.193 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
7.193 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
7.193 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
7.193 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
7.193 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
7.193 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
7.193 * [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)))))
7.194 * [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)))))
7.194 * [backup-simplify]: Simplify (+ 0) into 0
7.195 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
7.195 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
7.196 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.196 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
7.197 * [backup-simplify]: Simplify (+ 0 0) into 0
7.197 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 (sin (/ -1 ky)))) into 0
7.198 * [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
7.198 * [taylor]: Taking taylor expansion of 0 in ky
7.198 * [backup-simplify]: Simplify 0 into 0
7.198 * [taylor]: Taking taylor expansion of 0 in kx
7.198 * [backup-simplify]: Simplify 0 into 0
7.198 * [backup-simplify]: Simplify 0 into 0
7.198 * [backup-simplify]: Simplify (+ 0) into 0
7.199 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 1)) into 0
7.199 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
7.200 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.200 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 0)) into 0
7.201 * [backup-simplify]: Simplify (+ 0 0) into 0
7.201 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 (sin (/ -1 ky)))) into 0
7.201 * [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
7.201 * [taylor]: Taking taylor expansion of 0 in kx
7.201 * [backup-simplify]: Simplify 0 into 0
7.201 * [backup-simplify]: Simplify 0 into 0
7.202 * [backup-simplify]: Simplify (+ 0) into 0
7.202 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
7.203 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
7.203 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.204 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
7.204 * [backup-simplify]: Simplify (+ 0 0) into 0
7.205 * [backup-simplify]: Simplify (+ 0) into 0
7.205 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 1)) into 0
7.205 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
7.206 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.207 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 0)) into 0
7.207 * [backup-simplify]: Simplify (+ 0 0) into 0
7.207 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 (sin (/ -1 ky)))) into 0
7.208 * [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
7.208 * [backup-simplify]: Simplify 0 into 0
7.209 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.210 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
7.210 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
7.211 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.211 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
7.212 * [backup-simplify]: Simplify (+ 0 0) into 0
7.212 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
7.213 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.214 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
7.214 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
7.215 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.215 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
7.216 * [backup-simplify]: Simplify (+ 0 0) into 0
7.217 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.217 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
7.218 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
7.218 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.219 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
7.219 * [backup-simplify]: Simplify (+ 0 0) into 0
7.220 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
7.221 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.222 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
7.222 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
7.223 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.223 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
7.224 * [backup-simplify]: Simplify (+ 0 0) into 0
7.225 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.226 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
7.226 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
7.227 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.228 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
7.228 * [backup-simplify]: Simplify (+ 0 0) into 0
7.228 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
7.229 * [backup-simplify]: Simplify (+ 0 0) into 0
7.230 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
7.231 * [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
7.231 * [taylor]: Taking taylor expansion of 0 in ky
7.231 * [backup-simplify]: Simplify 0 into 0
7.231 * [taylor]: Taking taylor expansion of 0 in kx
7.231 * [backup-simplify]: Simplify 0 into 0
7.231 * [backup-simplify]: Simplify 0 into 0
7.231 * [taylor]: Taking taylor expansion of 0 in kx
7.231 * [backup-simplify]: Simplify 0 into 0
7.231 * [backup-simplify]: Simplify 0 into 0
7.232 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.233 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
7.233 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
7.234 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.235 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
7.235 * [backup-simplify]: Simplify (+ 0 0) into 0
7.235 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
7.236 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
7.236 * [backup-simplify]: Simplify (+ 0 0) into 0
7.237 * [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
7.238 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
7.239 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.240 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
7.240 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
7.240 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.241 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
7.241 * [backup-simplify]: Simplify (+ 0 0) into 0
7.241 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
7.242 * [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
7.242 * [taylor]: Taking taylor expansion of 0 in kx
7.242 * [backup-simplify]: Simplify 0 into 0
7.242 * [backup-simplify]: Simplify 0 into 0
7.242 * [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)))
7.242 * * * * [progress]: [ 2 / 3 ] generating series at (2 2)
7.242 * [backup-simplify]: Simplify (/ (sin ky) (* 1 (hypot (sin ky) (sin kx)))) into (/ (sin ky) (hypot (sin ky) (sin kx)))
7.242 * [approximate]: Taking taylor expansion of (/ (sin ky) (hypot (sin ky) (sin kx))) in (ky kx) around 0
7.242 * [taylor]: Taking taylor expansion of (/ (sin ky) (hypot (sin ky) (sin kx))) in kx
7.242 * [taylor]: Taking taylor expansion of (sin ky) in kx
7.242 * [taylor]: Taking taylor expansion of ky in kx
7.243 * [backup-simplify]: Simplify ky into ky
7.243 * [backup-simplify]: Simplify (sin ky) into (sin ky)
7.243 * [backup-simplify]: Simplify (cos ky) into (cos ky)
7.243 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in kx
7.243 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
7.243 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in kx
7.243 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in kx
7.243 * [taylor]: Taking taylor expansion of (sin ky) in kx
7.243 * [taylor]: Taking taylor expansion of ky in kx
7.243 * [backup-simplify]: Simplify ky into ky
7.243 * [backup-simplify]: Simplify (sin ky) into (sin ky)
7.243 * [backup-simplify]: Simplify (cos ky) into (cos ky)
7.243 * [taylor]: Taking taylor expansion of (sin ky) in kx
7.243 * [taylor]: Taking taylor expansion of ky in kx
7.243 * [backup-simplify]: Simplify ky into ky
7.243 * [backup-simplify]: Simplify (sin ky) into (sin ky)
7.243 * [backup-simplify]: Simplify (cos ky) into (cos ky)
7.243 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in kx
7.243 * [taylor]: Taking taylor expansion of (sin kx) in kx
7.243 * [taylor]: Taking taylor expansion of kx in kx
7.243 * [backup-simplify]: Simplify 0 into 0
7.243 * [backup-simplify]: Simplify 1 into 1
7.243 * [taylor]: Taking taylor expansion of (sin kx) in kx
7.243 * [taylor]: Taking taylor expansion of kx in kx
7.243 * [backup-simplify]: Simplify 0 into 0
7.243 * [backup-simplify]: Simplify 1 into 1
7.243 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
7.243 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
7.243 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
7.243 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
7.243 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
7.243 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
7.243 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
7.244 * [backup-simplify]: Simplify (* 0 0) into 0
7.244 * [backup-simplify]: Simplify (+ (pow (sin ky) 2) 0) into (pow (sin ky) 2)
7.244 * [backup-simplify]: Simplify (sqrt (pow (sin ky) 2)) into (sin ky)
7.244 * [backup-simplify]: Simplify (+ 0) into 0
7.244 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
7.245 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.245 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
7.245 * [backup-simplify]: Simplify (+ 0 0) into 0
7.246 * [backup-simplify]: Simplify (+ 0) into 0
7.246 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
7.246 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.247 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
7.247 * [backup-simplify]: Simplify (+ 0 0) into 0
7.247 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
7.247 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.248 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.248 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
7.248 * [backup-simplify]: Simplify (+ 0 0) into 0
7.248 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin ky) 2)))) into 0
7.249 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
7.249 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
7.249 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
7.249 * [backup-simplify]: Simplify (/ (sin ky) (sin ky)) into 1
7.249 * [taylor]: Taking taylor expansion of (/ (sin ky) (hypot (sin ky) (sin kx))) in ky
7.249 * [taylor]: Taking taylor expansion of (sin ky) in ky
7.249 * [taylor]: Taking taylor expansion of ky in ky
7.249 * [backup-simplify]: Simplify 0 into 0
7.249 * [backup-simplify]: Simplify 1 into 1
7.249 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky
7.249 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
7.249 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky
7.249 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
7.249 * [taylor]: Taking taylor expansion of (sin ky) in ky
7.249 * [taylor]: Taking taylor expansion of ky in ky
7.249 * [backup-simplify]: Simplify 0 into 0
7.249 * [backup-simplify]: Simplify 1 into 1
7.249 * [taylor]: Taking taylor expansion of (sin ky) in ky
7.249 * [taylor]: Taking taylor expansion of ky in ky
7.249 * [backup-simplify]: Simplify 0 into 0
7.249 * [backup-simplify]: Simplify 1 into 1
7.249 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
7.249 * [taylor]: Taking taylor expansion of (sin kx) in ky
7.249 * [taylor]: Taking taylor expansion of kx in ky
7.249 * [backup-simplify]: Simplify kx into kx
7.249 * [backup-simplify]: Simplify (sin kx) into (sin kx)
7.249 * [backup-simplify]: Simplify (cos kx) into (cos kx)
7.249 * [taylor]: Taking taylor expansion of (sin kx) in ky
7.249 * [taylor]: Taking taylor expansion of kx in ky
7.249 * [backup-simplify]: Simplify kx into kx
7.249 * [backup-simplify]: Simplify (sin kx) into (sin kx)
7.249 * [backup-simplify]: Simplify (cos kx) into (cos kx)
7.249 * [backup-simplify]: Simplify (* 0 0) into 0
7.249 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
7.250 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
7.250 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
7.250 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
7.250 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
7.250 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
7.250 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
7.250 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
7.250 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
7.250 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.252 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.252 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
7.253 * [backup-simplify]: Simplify (+ 0) into 0
7.253 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
7.254 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.254 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
7.254 * [backup-simplify]: Simplify (+ 0 0) into 0
7.254 * [backup-simplify]: Simplify (+ 0) into 0
7.255 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
7.255 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.255 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
7.256 * [backup-simplify]: Simplify (+ 0 0) into 0
7.256 * [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
7.256 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.256 * [backup-simplify]: Simplify (/ 1 (sin kx)) into (/ 1 (sin kx))
7.256 * [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
7.257 * [backup-simplify]: Simplify (sin kx) into (sin kx)
7.257 * [backup-simplify]: Simplify (cos kx) into (cos kx)
7.257 * [backup-simplify]: Simplify (* 0 0) into 0
7.257 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
7.257 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
7.257 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
7.257 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
7.257 * [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)
7.258 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
7.258 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
7.258 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.259 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.259 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
7.259 * [backup-simplify]: Simplify (+ 0) into 0
7.260 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
7.260 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.260 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
7.261 * [backup-simplify]: Simplify (+ 0 0) into 0
7.261 * [backup-simplify]: Simplify (+ 0) into 0
7.261 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
7.262 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.262 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
7.262 * [backup-simplify]: Simplify (+ 0 0) into 0
7.262 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
7.262 * [backup-simplify]: Simplify (+ 0 0) into 0
7.263 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
7.263 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.263 * [backup-simplify]: Simplify (/ 1 (sin kx)) into (/ 1 (sin kx))
7.263 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx
7.263 * [taylor]: Taking taylor expansion of (sin kx) in kx
7.263 * [taylor]: Taking taylor expansion of kx in kx
7.263 * [backup-simplify]: Simplify 0 into 0
7.263 * [backup-simplify]: Simplify 1 into 1
7.264 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.264 * [backup-simplify]: Simplify (/ 1 1) into 1
7.264 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.265 * [backup-simplify]: Simplify 0 into 0
7.265 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.265 * [backup-simplify]: Simplify (- (/ 0 (sin kx)) (+ (* (/ 1 (sin kx)) (/ 0 (sin kx))))) into 0
7.265 * [taylor]: Taking taylor expansion of 0 in kx
7.265 * [backup-simplify]: Simplify 0 into 0
7.265 * [backup-simplify]: Simplify 0 into 0
7.266 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
7.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/6
7.267 * [backup-simplify]: Simplify 1/6 into 1/6
7.268 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
7.269 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.269 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.269 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
7.270 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.271 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
7.271 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.272 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
7.272 * [backup-simplify]: Simplify (+ 0 0) into 0
7.272 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.273 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
7.273 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.274 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
7.274 * [backup-simplify]: Simplify (+ 0 0) into 0
7.274 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 (sin kx)))) into 0
7.274 * [backup-simplify]: Simplify (+ 1 0) into 1
7.275 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sin kx))) into (/ 1/2 (sin kx))
7.275 * [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)))))
7.275 * [taylor]: Taking taylor expansion of (- (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))) in kx
7.275 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))) in kx
7.275 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (sin kx))) in kx
7.275 * [taylor]: Taking taylor expansion of 1/6 in kx
7.275 * [backup-simplify]: Simplify 1/6 into 1/6
7.275 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx
7.275 * [taylor]: Taking taylor expansion of (sin kx) in kx
7.275 * [taylor]: Taking taylor expansion of kx in kx
7.275 * [backup-simplify]: Simplify 0 into 0
7.275 * [backup-simplify]: Simplify 1 into 1
7.276 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.276 * [backup-simplify]: Simplify (/ 1 1) into 1
7.276 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow (sin kx) 3))) in kx
7.276 * [taylor]: Taking taylor expansion of 1/2 in kx
7.276 * [backup-simplify]: Simplify 1/2 into 1/2
7.276 * [taylor]: Taking taylor expansion of (/ 1 (pow (sin kx) 3)) in kx
7.276 * [taylor]: Taking taylor expansion of (pow (sin kx) 3) in kx
7.276 * [taylor]: Taking taylor expansion of (sin kx) in kx
7.276 * [taylor]: Taking taylor expansion of kx in kx
7.276 * [backup-simplify]: Simplify 0 into 0
7.276 * [backup-simplify]: Simplify 1 into 1
7.276 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.277 * [backup-simplify]: Simplify (* 1 1) into 1
7.277 * [backup-simplify]: Simplify (* 1 1) into 1
7.277 * [backup-simplify]: Simplify (/ 1 1) into 1
7.278 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.279 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 1)) into 0
7.279 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
7.280 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.281 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
7.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0
7.282 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3
7.283 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/3) (+ (* -1/6 0) (* 0 1)))) into 0
7.284 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.285 * [backup-simplify]: Simplify (+ (* 1 -1/3) (+ (* 0 0) (* -1/6 1))) into -1/2
7.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/2 1)) (* 0 (/ 0 1)))) into 1/2
7.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/2 1)) (* 1/2 (/ 0 1)))) into 0
7.287 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1/2) (+ (* 0 0) (* 0 1)))) into 0
7.287 * [backup-simplify]: Simplify (+ 0 0) into 0
7.287 * [backup-simplify]: Simplify (- 0) into 0
7.288 * [backup-simplify]: Simplify 0 into 0
7.288 * [backup-simplify]: Simplify 0 into 0
7.288 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
7.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/6 1)) (* 1/6 (/ 0 1)))) into 0
7.289 * [backup-simplify]: Simplify 0 into 0
7.290 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
7.291 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
7.292 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
7.293 * [backup-simplify]: Simplify (+ (* 0 -1/6) (+ (* 1 0) (+ (* 0 1) (* -1/6 0)))) into 0
7.293 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.294 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.295 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
7.295 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
7.296 * [backup-simplify]: Simplify (+ 0 0) into 0
7.296 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.297 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.297 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
7.298 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
7.298 * [backup-simplify]: Simplify (+ 0 0) into 0
7.299 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin kx))))) into 0
7.299 * [backup-simplify]: Simplify (+ 0 0) into 0
7.299 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sin kx)))))) (* 2 (sin kx))) into 0
7.299 * [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
7.299 * [taylor]: Taking taylor expansion of 0 in kx
7.299 * [backup-simplify]: Simplify 0 into 0
7.299 * [backup-simplify]: Simplify 0 into 0
7.300 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
7.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/6
7.302 * [backup-simplify]: Simplify (+ (* 1/6 1/6) (+ (* 0 0) (* 0 1))) into 1/36
7.304 * [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
7.305 * [backup-simplify]: Simplify (+ (* 1 1/120) (+ (* 0 0) (+ (* -1/6 -1/6) (+ (* 0 0) (* 1/120 1))))) into 2/45
7.306 * [backup-simplify]: Simplify (+ (* 1 2/45) (+ (* 0 0) (+ (* -1/6 -1/3) (+ (* 0 0) (* 1/120 1))))) into 13/120
7.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 13/120 1)) (* 0 (/ 0 1)) (* 1/2 (/ -1/2 1)) (* 0 (/ 0 1)))) into 17/120
7.308 * [backup-simplify]: Simplify (+ (* 1/2 17/120) (+ (* 0 0) (+ (* 0 1/2) (+ (* 0 0) (* 0 1))))) into 17/240
7.308 * [backup-simplify]: Simplify (+ 1/36 17/240) into 71/720
7.308 * [backup-simplify]: Simplify (- 71/720) into -71/720
7.308 * [backup-simplify]: Simplify -71/720 into -71/720
7.308 * [backup-simplify]: Simplify 0 into 0
7.311 * [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
7.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/120 1)) (* 0 (/ 0 1)) (* 1/6 (/ -1/6 1)) (* 0 (/ 0 1)))) into 7/360
7.312 * [backup-simplify]: Simplify 7/360 into 7/360
7.312 * [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))))
7.312 * [backup-simplify]: Simplify (/ (sin (/ 1 ky)) (* 1 (hypot (sin (/ 1 ky)) (sin (/ 1 kx))))) into (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx))))
7.312 * [approximate]: Taking taylor expansion of (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in (ky kx) around 0
7.312 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in kx
7.312 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
7.312 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
7.312 * [taylor]: Taking taylor expansion of ky in kx
7.312 * [backup-simplify]: Simplify ky into ky
7.312 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
7.312 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.312 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
7.312 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in kx
7.312 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
7.312 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in kx
7.312 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in kx
7.312 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
7.312 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
7.312 * [taylor]: Taking taylor expansion of ky in kx
7.313 * [backup-simplify]: Simplify ky into ky
7.313 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
7.313 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.313 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
7.313 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
7.313 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
7.313 * [taylor]: Taking taylor expansion of ky in kx
7.313 * [backup-simplify]: Simplify ky into ky
7.313 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
7.313 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.313 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
7.313 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in kx
7.313 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
7.313 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
7.313 * [taylor]: Taking taylor expansion of kx in kx
7.313 * [backup-simplify]: Simplify 0 into 0
7.313 * [backup-simplify]: Simplify 1 into 1
7.313 * [backup-simplify]: Simplify (/ 1 1) into 1
7.313 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
7.313 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
7.313 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
7.313 * [taylor]: Taking taylor expansion of kx in kx
7.313 * [backup-simplify]: Simplify 0 into 0
7.313 * [backup-simplify]: Simplify 1 into 1
7.314 * [backup-simplify]: Simplify (/ 1 1) into 1
7.314 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
7.314 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
7.314 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
7.314 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
7.314 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
7.314 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
7.314 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
7.314 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
7.314 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
7.314 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
7.314 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
7.315 * [backup-simplify]: Simplify (+ 0) into 0
7.315 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
7.315 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
7.316 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.316 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
7.316 * [backup-simplify]: Simplify (+ 0 0) into 0
7.316 * [backup-simplify]: Simplify (+ 0) into 0
7.317 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
7.317 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
7.317 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.318 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
7.318 * [backup-simplify]: Simplify (+ 0 0) into 0
7.318 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
7.318 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
7.318 * [backup-simplify]: Simplify (+ 0 0) into 0
7.318 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
7.318 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
7.318 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
7.319 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
7.319 * [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)))
7.319 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in ky
7.319 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
7.319 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
7.319 * [taylor]: Taking taylor expansion of ky in ky
7.319 * [backup-simplify]: Simplify 0 into 0
7.319 * [backup-simplify]: Simplify 1 into 1
7.319 * [backup-simplify]: Simplify (/ 1 1) into 1
7.319 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.319 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky
7.319 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
7.319 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky
7.319 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
7.319 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
7.319 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
7.319 * [taylor]: Taking taylor expansion of ky in ky
7.319 * [backup-simplify]: Simplify 0 into 0
7.319 * [backup-simplify]: Simplify 1 into 1
7.320 * [backup-simplify]: Simplify (/ 1 1) into 1
7.320 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.320 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
7.320 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
7.320 * [taylor]: Taking taylor expansion of ky in ky
7.320 * [backup-simplify]: Simplify 0 into 0
7.320 * [backup-simplify]: Simplify 1 into 1
7.320 * [backup-simplify]: Simplify (/ 1 1) into 1
7.320 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.320 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
7.320 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
7.320 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
7.320 * [taylor]: Taking taylor expansion of kx in ky
7.320 * [backup-simplify]: Simplify kx into kx
7.320 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
7.321 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
7.321 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
7.321 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
7.321 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
7.321 * [taylor]: Taking taylor expansion of kx in ky
7.321 * [backup-simplify]: Simplify kx into kx
7.321 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
7.321 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
7.321 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
7.321 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
7.321 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
7.321 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
7.321 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
7.321 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
7.322 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
7.322 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
7.322 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
7.322 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
7.322 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
7.322 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
7.323 * [backup-simplify]: Simplify (+ 0) into 0
7.323 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
7.324 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
7.324 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.325 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
7.325 * [backup-simplify]: Simplify (+ 0 0) into 0
7.326 * [backup-simplify]: Simplify (+ 0) into 0
7.326 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
7.326 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
7.327 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.328 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
7.328 * [backup-simplify]: Simplify (+ 0 0) into 0
7.328 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
7.328 * [backup-simplify]: Simplify (+ 0 0) into 0
7.329 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
7.329 * [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)))
7.329 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in ky
7.329 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
7.329 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
7.329 * [taylor]: Taking taylor expansion of ky in ky
7.329 * [backup-simplify]: Simplify 0 into 0
7.329 * [backup-simplify]: Simplify 1 into 1
7.330 * [backup-simplify]: Simplify (/ 1 1) into 1
7.330 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.330 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky
7.330 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
7.330 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky
7.330 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
7.330 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
7.330 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
7.330 * [taylor]: Taking taylor expansion of ky in ky
7.330 * [backup-simplify]: Simplify 0 into 0
7.330 * [backup-simplify]: Simplify 1 into 1
7.330 * [backup-simplify]: Simplify (/ 1 1) into 1
7.330 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.330 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
7.330 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
7.330 * [taylor]: Taking taylor expansion of ky in ky
7.331 * [backup-simplify]: Simplify 0 into 0
7.331 * [backup-simplify]: Simplify 1 into 1
7.331 * [backup-simplify]: Simplify (/ 1 1) into 1
7.331 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.331 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
7.331 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
7.331 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
7.331 * [taylor]: Taking taylor expansion of kx in ky
7.331 * [backup-simplify]: Simplify kx into kx
7.331 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
7.331 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
7.331 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
7.331 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
7.331 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
7.331 * [taylor]: Taking taylor expansion of kx in ky
7.331 * [backup-simplify]: Simplify kx into kx
7.332 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
7.332 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
7.332 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
7.332 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
7.332 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
7.332 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
7.332 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
7.332 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
7.332 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
7.332 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
7.332 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
7.333 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
7.333 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
7.333 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
7.334 * [backup-simplify]: Simplify (+ 0) into 0
7.334 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
7.334 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
7.335 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.336 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
7.336 * [backup-simplify]: Simplify (+ 0 0) into 0
7.336 * [backup-simplify]: Simplify (+ 0) into 0
7.337 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
7.337 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
7.338 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.338 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
7.339 * [backup-simplify]: Simplify (+ 0 0) into 0
7.339 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
7.339 * [backup-simplify]: Simplify (+ 0 0) into 0
7.339 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
7.340 * [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)))
7.340 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) in kx
7.340 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in kx
7.340 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx
7.340 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx
7.340 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx
7.340 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
7.340 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
7.340 * [taylor]: Taking taylor expansion of kx in kx
7.340 * [backup-simplify]: Simplify 0 into 0
7.340 * [backup-simplify]: Simplify 1 into 1
7.340 * [backup-simplify]: Simplify (/ 1 1) into 1
7.340 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
7.341 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx
7.341 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
7.341 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
7.341 * [taylor]: Taking taylor expansion of ky in kx
7.341 * [backup-simplify]: Simplify ky into ky
7.341 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
7.341 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.341 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
7.341 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
7.341 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
7.341 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
7.341 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
7.341 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
7.342 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
7.342 * [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)))
7.342 * [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))))
7.342 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
7.343 * [backup-simplify]: Simplify (+ 0) into 0
7.343 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
7.344 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
7.344 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.345 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
7.345 * [backup-simplify]: Simplify (+ 0 0) into 0
7.345 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
7.346 * [backup-simplify]: Simplify (+ 0 0) into 0
7.346 * [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
7.347 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
7.347 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
7.347 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
7.347 * [taylor]: Taking taylor expansion of ky in kx
7.347 * [backup-simplify]: Simplify ky into ky
7.347 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
7.347 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.347 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
7.347 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
7.347 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
7.347 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
7.348 * [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)))
7.348 * [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)))
7.349 * [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
7.349 * [taylor]: Taking taylor expansion of 0 in kx
7.349 * [backup-simplify]: Simplify 0 into 0
7.349 * [backup-simplify]: Simplify 0 into 0
7.350 * [backup-simplify]: Simplify (+ 0) into 0
7.350 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
7.350 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
7.351 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.352 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
7.352 * [backup-simplify]: Simplify (+ 0 0) into 0
7.352 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) 0) (* 0 (sin (/ 1 ky)))) into 0
7.352 * [backup-simplify]: Simplify 0 into 0
7.353 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
7.354 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.355 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
7.355 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
7.355 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.356 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
7.356 * [backup-simplify]: Simplify (+ 0 0) into 0
7.359 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.360 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
7.360 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
7.361 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.362 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
7.362 * [backup-simplify]: Simplify (+ 0 0) into 0
7.363 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
7.363 * [backup-simplify]: Simplify (+ 0 0) into 0
7.364 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
7.365 * [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
7.365 * [taylor]: Taking taylor expansion of 0 in kx
7.365 * [backup-simplify]: Simplify 0 into 0
7.365 * [backup-simplify]: Simplify 0 into 0
7.365 * [backup-simplify]: Simplify 0 into 0
7.366 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.367 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
7.367 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
7.368 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.368 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
7.369 * [backup-simplify]: Simplify (+ 0 0) into 0
7.369 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
7.370 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.371 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
7.371 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
7.372 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.372 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
7.372 * [backup-simplify]: Simplify (+ 0 0) into 0
7.373 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
7.373 * [backup-simplify]: Simplify (+ 0 0) into 0
7.373 * [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
7.374 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
7.374 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
7.374 * [backup-simplify]: Simplify 0 into 0
7.375 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 ky)))))) into 0
7.375 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.376 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.376 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
7.377 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
7.377 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
7.378 * [backup-simplify]: Simplify (+ 0 0) into 0
7.378 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.379 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.379 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
7.380 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
7.380 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
7.380 * [backup-simplify]: Simplify (+ 0 0) into 0
7.381 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 kx)))))) into 0
7.381 * [backup-simplify]: Simplify (+ 0 0) into 0
7.382 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
7.383 * [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
7.383 * [taylor]: Taking taylor expansion of 0 in kx
7.383 * [backup-simplify]: Simplify 0 into 0
7.383 * [backup-simplify]: Simplify 0 into 0
7.383 * [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))
7.383 * [backup-simplify]: Simplify (/ (sin (/ 1 (- ky))) (* 1 (hypot (sin (/ 1 (- ky))) (sin (/ 1 (- kx)))))) into (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx))))
7.383 * [approximate]: Taking taylor expansion of (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in (ky kx) around 0
7.383 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in kx
7.383 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
7.383 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
7.383 * [taylor]: Taking taylor expansion of -1 in kx
7.383 * [backup-simplify]: Simplify -1 into -1
7.383 * [taylor]: Taking taylor expansion of ky in kx
7.383 * [backup-simplify]: Simplify ky into ky
7.383 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
7.383 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.383 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
7.383 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in kx
7.383 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
7.383 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in kx
7.383 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in kx
7.383 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
7.383 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
7.383 * [taylor]: Taking taylor expansion of -1 in kx
7.383 * [backup-simplify]: Simplify -1 into -1
7.383 * [taylor]: Taking taylor expansion of ky in kx
7.384 * [backup-simplify]: Simplify ky into ky
7.384 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
7.384 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.384 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
7.384 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
7.384 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
7.384 * [taylor]: Taking taylor expansion of -1 in kx
7.384 * [backup-simplify]: Simplify -1 into -1
7.384 * [taylor]: Taking taylor expansion of ky in kx
7.384 * [backup-simplify]: Simplify ky into ky
7.384 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
7.384 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.384 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
7.384 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in kx
7.384 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
7.384 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
7.384 * [taylor]: Taking taylor expansion of -1 in kx
7.384 * [backup-simplify]: Simplify -1 into -1
7.384 * [taylor]: Taking taylor expansion of kx in kx
7.384 * [backup-simplify]: Simplify 0 into 0
7.384 * [backup-simplify]: Simplify 1 into 1
7.384 * [backup-simplify]: Simplify (/ -1 1) into -1
7.384 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
7.384 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
7.384 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
7.385 * [taylor]: Taking taylor expansion of -1 in kx
7.385 * [backup-simplify]: Simplify -1 into -1
7.385 * [taylor]: Taking taylor expansion of kx in kx
7.385 * [backup-simplify]: Simplify 0 into 0
7.385 * [backup-simplify]: Simplify 1 into 1
7.385 * [backup-simplify]: Simplify (/ -1 1) into -1
7.385 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
7.385 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
7.385 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
7.385 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
7.385 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
7.385 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
7.385 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
7.385 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
7.385 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
7.386 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
7.386 * [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)))
7.386 * [backup-simplify]: Simplify (+ 0) into 0
7.386 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
7.386 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
7.387 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.387 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
7.388 * [backup-simplify]: Simplify (+ 0 0) into 0
7.388 * [backup-simplify]: Simplify (+ 0) into 0
7.388 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
7.388 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
7.389 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.389 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
7.389 * [backup-simplify]: Simplify (+ 0 0) into 0
7.389 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
7.389 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
7.390 * [backup-simplify]: Simplify (+ 0 0) into 0
7.390 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
7.390 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
7.390 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
7.390 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
7.390 * [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)))
7.390 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in ky
7.390 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
7.390 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
7.390 * [taylor]: Taking taylor expansion of -1 in ky
7.390 * [backup-simplify]: Simplify -1 into -1
7.390 * [taylor]: Taking taylor expansion of ky in ky
7.390 * [backup-simplify]: Simplify 0 into 0
7.390 * [backup-simplify]: Simplify 1 into 1
7.391 * [backup-simplify]: Simplify (/ -1 1) into -1
7.391 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.391 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in ky
7.391 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
7.391 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in ky
7.391 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
7.391 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
7.391 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
7.391 * [taylor]: Taking taylor expansion of -1 in ky
7.391 * [backup-simplify]: Simplify -1 into -1
7.391 * [taylor]: Taking taylor expansion of ky in ky
7.391 * [backup-simplify]: Simplify 0 into 0
7.391 * [backup-simplify]: Simplify 1 into 1
7.391 * [backup-simplify]: Simplify (/ -1 1) into -1
7.391 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.391 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
7.391 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
7.391 * [taylor]: Taking taylor expansion of -1 in ky
7.391 * [backup-simplify]: Simplify -1 into -1
7.391 * [taylor]: Taking taylor expansion of ky in ky
7.391 * [backup-simplify]: Simplify 0 into 0
7.391 * [backup-simplify]: Simplify 1 into 1
7.392 * [backup-simplify]: Simplify (/ -1 1) into -1
7.392 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.392 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
7.392 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
7.392 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
7.392 * [taylor]: Taking taylor expansion of -1 in ky
7.392 * [backup-simplify]: Simplify -1 into -1
7.392 * [taylor]: Taking taylor expansion of kx in ky
7.392 * [backup-simplify]: Simplify kx into kx
7.392 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
7.392 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
7.392 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
7.392 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
7.392 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
7.392 * [taylor]: Taking taylor expansion of -1 in ky
7.392 * [backup-simplify]: Simplify -1 into -1
7.392 * [taylor]: Taking taylor expansion of kx in ky
7.392 * [backup-simplify]: Simplify kx into kx
7.392 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
7.392 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
7.392 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
7.392 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
7.393 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
7.393 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
7.393 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
7.393 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
7.393 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
7.393 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
7.393 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
7.393 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
7.393 * [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)))
7.393 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
7.394 * [backup-simplify]: Simplify (+ 0) into 0
7.394 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
7.394 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
7.395 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.395 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
7.396 * [backup-simplify]: Simplify (+ 0 0) into 0
7.396 * [backup-simplify]: Simplify (+ 0) into 0
7.396 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
7.396 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
7.397 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.397 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
7.397 * [backup-simplify]: Simplify (+ 0 0) into 0
7.397 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
7.398 * [backup-simplify]: Simplify (+ 0 0) into 0
7.398 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
7.398 * [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)))
7.398 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in ky
7.398 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
7.398 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
7.398 * [taylor]: Taking taylor expansion of -1 in ky
7.398 * [backup-simplify]: Simplify -1 into -1
7.398 * [taylor]: Taking taylor expansion of ky in ky
7.398 * [backup-simplify]: Simplify 0 into 0
7.398 * [backup-simplify]: Simplify 1 into 1
7.398 * [backup-simplify]: Simplify (/ -1 1) into -1
7.398 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.399 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in ky
7.399 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
7.399 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in ky
7.399 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
7.399 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
7.399 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
7.399 * [taylor]: Taking taylor expansion of -1 in ky
7.399 * [backup-simplify]: Simplify -1 into -1
7.399 * [taylor]: Taking taylor expansion of ky in ky
7.399 * [backup-simplify]: Simplify 0 into 0
7.399 * [backup-simplify]: Simplify 1 into 1
7.399 * [backup-simplify]: Simplify (/ -1 1) into -1
7.399 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.399 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
7.399 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
7.399 * [taylor]: Taking taylor expansion of -1 in ky
7.399 * [backup-simplify]: Simplify -1 into -1
7.399 * [taylor]: Taking taylor expansion of ky in ky
7.399 * [backup-simplify]: Simplify 0 into 0
7.399 * [backup-simplify]: Simplify 1 into 1
7.399 * [backup-simplify]: Simplify (/ -1 1) into -1
7.399 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.400 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
7.400 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
7.400 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
7.400 * [taylor]: Taking taylor expansion of -1 in ky
7.400 * [backup-simplify]: Simplify -1 into -1
7.400 * [taylor]: Taking taylor expansion of kx in ky
7.400 * [backup-simplify]: Simplify kx into kx
7.400 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
7.400 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
7.400 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
7.400 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
7.400 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
7.400 * [taylor]: Taking taylor expansion of -1 in ky
7.400 * [backup-simplify]: Simplify -1 into -1
7.400 * [taylor]: Taking taylor expansion of kx in ky
7.400 * [backup-simplify]: Simplify kx into kx
7.400 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
7.400 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
7.400 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
7.400 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
7.400 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
7.400 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
7.401 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
7.401 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
7.401 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
7.401 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
7.401 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
7.401 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
7.401 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
7.402 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
7.402 * [backup-simplify]: Simplify (+ 0) into 0
7.403 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
7.403 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
7.404 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.404 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
7.404 * [backup-simplify]: Simplify (+ 0 0) into 0
7.405 * [backup-simplify]: Simplify (+ 0) into 0
7.405 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
7.405 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
7.406 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.407 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
7.407 * [backup-simplify]: Simplify (+ 0 0) into 0
7.407 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
7.408 * [backup-simplify]: Simplify (+ 0 0) into 0
7.408 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
7.408 * [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)))
7.408 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) in kx
7.408 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in kx
7.408 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx
7.408 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx
7.408 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx
7.408 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
7.408 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
7.408 * [taylor]: Taking taylor expansion of -1 in kx
7.408 * [backup-simplify]: Simplify -1 into -1
7.408 * [taylor]: Taking taylor expansion of kx in kx
7.409 * [backup-simplify]: Simplify 0 into 0
7.409 * [backup-simplify]: Simplify 1 into 1
7.409 * [backup-simplify]: Simplify (/ -1 1) into -1
7.409 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
7.409 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx
7.409 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
7.409 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
7.409 * [taylor]: Taking taylor expansion of -1 in kx
7.409 * [backup-simplify]: Simplify -1 into -1
7.409 * [taylor]: Taking taylor expansion of ky in kx
7.409 * [backup-simplify]: Simplify ky into ky
7.409 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
7.409 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.409 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
7.410 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
7.410 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
7.410 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
7.410 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
7.410 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
7.410 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
7.410 * [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)))
7.411 * [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))))
7.411 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
7.411 * [backup-simplify]: Simplify (+ 0) into 0
7.412 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
7.412 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
7.413 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.413 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
7.414 * [backup-simplify]: Simplify (+ 0 0) into 0
7.414 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
7.414 * [backup-simplify]: Simplify (+ 0 0) into 0
7.415 * [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
7.415 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
7.415 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
7.415 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
7.415 * [taylor]: Taking taylor expansion of -1 in kx
7.415 * [backup-simplify]: Simplify -1 into -1
7.415 * [taylor]: Taking taylor expansion of ky in kx
7.415 * [backup-simplify]: Simplify ky into ky
7.415 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
7.415 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.415 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
7.416 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
7.416 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
7.416 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
7.416 * [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)))
7.416 * [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)))
7.417 * [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
7.417 * [taylor]: Taking taylor expansion of 0 in kx
7.417 * [backup-simplify]: Simplify 0 into 0
7.417 * [backup-simplify]: Simplify 0 into 0
7.418 * [backup-simplify]: Simplify (+ 0) into 0
7.418 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
7.419 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
7.419 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.420 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
7.420 * [backup-simplify]: Simplify (+ 0 0) into 0
7.421 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) 0) (* 0 (sin (/ -1 ky)))) into 0
7.421 * [backup-simplify]: Simplify 0 into 0
7.421 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
7.422 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.423 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
7.423 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
7.424 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.424 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
7.425 * [backup-simplify]: Simplify (+ 0 0) into 0
7.426 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.426 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
7.427 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
7.427 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.428 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
7.428 * [backup-simplify]: Simplify (+ 0 0) into 0
7.429 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
7.429 * [backup-simplify]: Simplify (+ 0 0) into 0
7.430 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
7.431 * [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
7.431 * [taylor]: Taking taylor expansion of 0 in kx
7.431 * [backup-simplify]: Simplify 0 into 0
7.431 * [backup-simplify]: Simplify 0 into 0
7.431 * [backup-simplify]: Simplify 0 into 0
7.432 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.433 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
7.433 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
7.434 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.435 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
7.435 * [backup-simplify]: Simplify (+ 0 0) into 0
7.435 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
7.436 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.437 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
7.437 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
7.438 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.439 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
7.439 * [backup-simplify]: Simplify (+ 0 0) into 0
7.440 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
7.440 * [backup-simplify]: Simplify (+ 0 0) into 0
7.441 * [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
7.442 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
7.442 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
7.442 * [backup-simplify]: Simplify 0 into 0
7.444 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 ky)))))) into 0
7.444 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.445 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.446 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
7.447 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
7.448 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
7.448 * [backup-simplify]: Simplify (+ 0 0) into 0
7.449 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.450 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.450 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
7.452 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
7.452 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
7.453 * [backup-simplify]: Simplify (+ 0 0) into 0
7.454 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 kx)))))) into 0
7.454 * [backup-simplify]: Simplify (+ 0 0) into 0
7.455 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
7.456 * [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
7.456 * [taylor]: Taking taylor expansion of 0 in kx
7.456 * [backup-simplify]: Simplify 0 into 0
7.457 * [backup-simplify]: Simplify 0 into 0
7.457 * [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))
7.457 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 2 2)
7.457 * [backup-simplify]: Simplify (hypot (sin ky) (sin kx)) into (hypot (sin ky) (sin kx))
7.457 * [approximate]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in (ky kx) around 0
7.457 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in kx
7.457 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
7.457 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in kx
7.457 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in kx
7.457 * [taylor]: Taking taylor expansion of (sin ky) in kx
7.457 * [taylor]: Taking taylor expansion of ky in kx
7.457 * [backup-simplify]: Simplify ky into ky
7.457 * [backup-simplify]: Simplify (sin ky) into (sin ky)
7.457 * [backup-simplify]: Simplify (cos ky) into (cos ky)
7.458 * [taylor]: Taking taylor expansion of (sin ky) in kx
7.458 * [taylor]: Taking taylor expansion of ky in kx
7.458 * [backup-simplify]: Simplify ky into ky
7.458 * [backup-simplify]: Simplify (sin ky) into (sin ky)
7.458 * [backup-simplify]: Simplify (cos ky) into (cos ky)
7.458 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in kx
7.458 * [taylor]: Taking taylor expansion of (sin kx) in kx
7.458 * [taylor]: Taking taylor expansion of kx in kx
7.458 * [backup-simplify]: Simplify 0 into 0
7.458 * [backup-simplify]: Simplify 1 into 1
7.458 * [taylor]: Taking taylor expansion of (sin kx) in kx
7.458 * [taylor]: Taking taylor expansion of kx in kx
7.458 * [backup-simplify]: Simplify 0 into 0
7.458 * [backup-simplify]: Simplify 1 into 1
7.458 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
7.458 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
7.458 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
7.458 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
7.458 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
7.458 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
7.458 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
7.459 * [backup-simplify]: Simplify (* 0 0) into 0
7.459 * [backup-simplify]: Simplify (+ (pow (sin ky) 2) 0) into (pow (sin ky) 2)
7.459 * [backup-simplify]: Simplify (sqrt (pow (sin ky) 2)) into (sin ky)
7.460 * [backup-simplify]: Simplify (+ 0) into 0
7.460 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
7.461 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.461 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
7.462 * [backup-simplify]: Simplify (+ 0 0) into 0
7.462 * [backup-simplify]: Simplify (+ 0) into 0
7.462 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
7.463 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.464 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
7.464 * [backup-simplify]: Simplify (+ 0 0) into 0
7.464 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
7.465 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.466 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.466 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
7.467 * [backup-simplify]: Simplify (+ 0 0) into 0
7.467 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin ky) 2)))) into 0
7.467 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky
7.467 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
7.467 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky
7.467 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
7.467 * [taylor]: Taking taylor expansion of (sin ky) in ky
7.467 * [taylor]: Taking taylor expansion of ky in ky
7.467 * [backup-simplify]: Simplify 0 into 0
7.467 * [backup-simplify]: Simplify 1 into 1
7.467 * [taylor]: Taking taylor expansion of (sin ky) in ky
7.467 * [taylor]: Taking taylor expansion of ky in ky
7.467 * [backup-simplify]: Simplify 0 into 0
7.467 * [backup-simplify]: Simplify 1 into 1
7.467 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
7.467 * [taylor]: Taking taylor expansion of (sin kx) in ky
7.467 * [taylor]: Taking taylor expansion of kx in ky
7.467 * [backup-simplify]: Simplify kx into kx
7.467 * [backup-simplify]: Simplify (sin kx) into (sin kx)
7.467 * [backup-simplify]: Simplify (cos kx) into (cos kx)
7.467 * [taylor]: Taking taylor expansion of (sin kx) in ky
7.467 * [taylor]: Taking taylor expansion of kx in ky
7.467 * [backup-simplify]: Simplify kx into kx
7.468 * [backup-simplify]: Simplify (sin kx) into (sin kx)
7.468 * [backup-simplify]: Simplify (cos kx) into (cos kx)
7.468 * [backup-simplify]: Simplify (* 0 0) into 0
7.468 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
7.468 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
7.468 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
7.468 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
7.468 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
7.468 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
7.468 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
7.469 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
7.469 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
7.469 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.470 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.471 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
7.471 * [backup-simplify]: Simplify (+ 0) into 0
7.472 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
7.472 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.473 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
7.473 * [backup-simplify]: Simplify (+ 0 0) into 0
7.473 * [backup-simplify]: Simplify (+ 0) into 0
7.474 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
7.475 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.475 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
7.475 * [backup-simplify]: Simplify (+ 0 0) into 0
7.476 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
7.476 * [backup-simplify]: Simplify (+ 0 0) into 0
7.476 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
7.476 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky
7.476 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
7.476 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky
7.476 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
7.476 * [taylor]: Taking taylor expansion of (sin ky) in ky
7.476 * [taylor]: Taking taylor expansion of ky in ky
7.476 * [backup-simplify]: Simplify 0 into 0
7.476 * [backup-simplify]: Simplify 1 into 1
7.476 * [taylor]: Taking taylor expansion of (sin ky) in ky
7.476 * [taylor]: Taking taylor expansion of ky in ky
7.476 * [backup-simplify]: Simplify 0 into 0
7.476 * [backup-simplify]: Simplify 1 into 1
7.477 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
7.477 * [taylor]: Taking taylor expansion of (sin kx) in ky
7.477 * [taylor]: Taking taylor expansion of kx in ky
7.477 * [backup-simplify]: Simplify kx into kx
7.477 * [backup-simplify]: Simplify (sin kx) into (sin kx)
7.477 * [backup-simplify]: Simplify (cos kx) into (cos kx)
7.477 * [taylor]: Taking taylor expansion of (sin kx) in ky
7.477 * [taylor]: Taking taylor expansion of kx in ky
7.477 * [backup-simplify]: Simplify kx into kx
7.477 * [backup-simplify]: Simplify (sin kx) into (sin kx)
7.477 * [backup-simplify]: Simplify (cos kx) into (cos kx)
7.477 * [backup-simplify]: Simplify (* 0 0) into 0
7.477 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
7.477 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
7.477 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
7.478 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
7.478 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
7.478 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
7.478 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
7.478 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
7.478 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
7.479 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.479 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.480 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
7.480 * [backup-simplify]: Simplify (+ 0) into 0
7.481 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
7.482 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.482 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
7.482 * [backup-simplify]: Simplify (+ 0 0) into 0
7.483 * [backup-simplify]: Simplify (+ 0) into 0
7.483 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
7.484 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.484 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
7.485 * [backup-simplify]: Simplify (+ 0 0) into 0
7.485 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
7.485 * [backup-simplify]: Simplify (+ 0 0) into 0
7.485 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
7.486 * [taylor]: Taking taylor expansion of (sin kx) in kx
7.486 * [taylor]: Taking taylor expansion of kx in kx
7.486 * [backup-simplify]: Simplify 0 into 0
7.486 * [backup-simplify]: Simplify 1 into 1
7.486 * [backup-simplify]: Simplify 0 into 0
7.486 * [taylor]: Taking taylor expansion of 0 in kx
7.486 * [backup-simplify]: Simplify 0 into 0
7.486 * [backup-simplify]: Simplify 0 into 0
7.486 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.486 * [backup-simplify]: Simplify 1 into 1
7.487 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.488 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.489 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
7.490 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.491 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
7.492 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.492 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
7.493 * [backup-simplify]: Simplify (+ 0 0) into 0
7.495 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.496 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
7.497 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.498 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
7.498 * [backup-simplify]: Simplify (+ 0 0) into 0
7.498 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 (sin kx)))) into 0
7.499 * [backup-simplify]: Simplify (+ 1 0) into 1
7.500 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sin kx))) into (/ 1/2 (sin kx))
7.500 * [taylor]: Taking taylor expansion of (/ 1/2 (sin kx)) in kx
7.500 * [taylor]: Taking taylor expansion of 1/2 in kx
7.500 * [backup-simplify]: Simplify 1/2 into 1/2
7.500 * [taylor]: Taking taylor expansion of (sin kx) in kx
7.500 * [taylor]: Taking taylor expansion of kx in kx
7.500 * [backup-simplify]: Simplify 0 into 0
7.500 * [backup-simplify]: Simplify 1 into 1
7.500 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.500 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.501 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.501 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.501 * [backup-simplify]: Simplify 0 into 0
7.502 * [backup-simplify]: Simplify 0 into 0
7.502 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.502 * [backup-simplify]: Simplify 0 into 0
7.503 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
7.504 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
7.505 * [backup-simplify]: Simplify (+ (* 0 -1/6) (+ (* 1 0) (+ (* 0 1) (* -1/6 0)))) into 0
7.505 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.506 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.506 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
7.507 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
7.507 * [backup-simplify]: Simplify (+ 0 0) into 0
7.508 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.508 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.509 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
7.509 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
7.510 * [backup-simplify]: Simplify (+ 0 0) into 0
7.510 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin kx))))) into 0
7.510 * [backup-simplify]: Simplify (+ 0 0) into 0
7.511 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sin kx)))))) (* 2 (sin kx))) into 0
7.511 * [taylor]: Taking taylor expansion of 0 in kx
7.511 * [backup-simplify]: Simplify 0 into 0
7.511 * [backup-simplify]: Simplify 0 into 0
7.512 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
7.512 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/12
7.512 * [backup-simplify]: Simplify 1/12 into 1/12
7.512 * [backup-simplify]: Simplify 0 into 0
7.513 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
7.513 * [backup-simplify]: Simplify -1/6 into -1/6
7.514 * [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)))
7.514 * [backup-simplify]: Simplify (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) into (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))
7.514 * [approximate]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in (ky kx) around 0
7.514 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in kx
7.514 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
7.514 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in kx
7.514 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in kx
7.514 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
7.514 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
7.514 * [taylor]: Taking taylor expansion of ky in kx
7.514 * [backup-simplify]: Simplify ky into ky
7.514 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
7.514 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.514 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
7.514 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
7.514 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
7.514 * [taylor]: Taking taylor expansion of ky in kx
7.514 * [backup-simplify]: Simplify ky into ky
7.514 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
7.514 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.514 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
7.514 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in kx
7.514 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
7.514 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
7.514 * [taylor]: Taking taylor expansion of kx in kx
7.514 * [backup-simplify]: Simplify 0 into 0
7.514 * [backup-simplify]: Simplify 1 into 1
7.515 * [backup-simplify]: Simplify (/ 1 1) into 1
7.515 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
7.515 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
7.515 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
7.515 * [taylor]: Taking taylor expansion of kx in kx
7.515 * [backup-simplify]: Simplify 0 into 0
7.515 * [backup-simplify]: Simplify 1 into 1
7.515 * [backup-simplify]: Simplify (/ 1 1) into 1
7.515 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
7.515 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
7.515 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
7.515 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
7.515 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
7.515 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
7.515 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
7.515 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
7.515 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
7.516 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
7.516 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
7.516 * [backup-simplify]: Simplify (+ 0) into 0
7.516 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
7.516 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
7.517 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.517 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
7.517 * [backup-simplify]: Simplify (+ 0 0) into 0
7.518 * [backup-simplify]: Simplify (+ 0) into 0
7.518 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
7.518 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
7.518 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.519 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
7.519 * [backup-simplify]: Simplify (+ 0 0) into 0
7.519 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
7.519 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
7.519 * [backup-simplify]: Simplify (+ 0 0) into 0
7.520 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
7.520 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky
7.520 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
7.520 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky
7.520 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
7.520 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
7.520 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
7.520 * [taylor]: Taking taylor expansion of ky in ky
7.520 * [backup-simplify]: Simplify 0 into 0
7.520 * [backup-simplify]: Simplify 1 into 1
7.520 * [backup-simplify]: Simplify (/ 1 1) into 1
7.520 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.520 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
7.520 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
7.520 * [taylor]: Taking taylor expansion of ky in ky
7.520 * [backup-simplify]: Simplify 0 into 0
7.520 * [backup-simplify]: Simplify 1 into 1
7.520 * [backup-simplify]: Simplify (/ 1 1) into 1
7.521 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.521 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
7.521 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
7.521 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
7.521 * [taylor]: Taking taylor expansion of kx in ky
7.521 * [backup-simplify]: Simplify kx into kx
7.521 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
7.521 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
7.521 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
7.521 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
7.521 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
7.521 * [taylor]: Taking taylor expansion of kx in ky
7.521 * [backup-simplify]: Simplify kx into kx
7.521 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
7.521 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
7.521 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
7.521 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
7.521 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
7.521 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
7.521 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
7.521 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
7.521 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
7.521 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
7.521 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
7.522 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
7.522 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
7.522 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
7.522 * [backup-simplify]: Simplify (+ 0) into 0
7.523 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
7.523 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
7.523 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.524 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
7.524 * [backup-simplify]: Simplify (+ 0 0) into 0
7.524 * [backup-simplify]: Simplify (+ 0) into 0
7.524 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
7.524 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
7.525 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.525 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
7.525 * [backup-simplify]: Simplify (+ 0 0) into 0
7.526 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
7.526 * [backup-simplify]: Simplify (+ 0 0) into 0
7.526 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
7.526 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky
7.526 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
7.526 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky
7.526 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
7.526 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
7.526 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
7.526 * [taylor]: Taking taylor expansion of ky in ky
7.526 * [backup-simplify]: Simplify 0 into 0
7.526 * [backup-simplify]: Simplify 1 into 1
7.526 * [backup-simplify]: Simplify (/ 1 1) into 1
7.526 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.526 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
7.527 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
7.527 * [taylor]: Taking taylor expansion of ky in ky
7.527 * [backup-simplify]: Simplify 0 into 0
7.527 * [backup-simplify]: Simplify 1 into 1
7.527 * [backup-simplify]: Simplify (/ 1 1) into 1
7.527 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.527 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
7.527 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
7.527 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
7.527 * [taylor]: Taking taylor expansion of kx in ky
7.527 * [backup-simplify]: Simplify kx into kx
7.527 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
7.527 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
7.527 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
7.527 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
7.527 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
7.527 * [taylor]: Taking taylor expansion of kx in ky
7.527 * [backup-simplify]: Simplify kx into kx
7.527 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
7.527 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
7.527 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
7.527 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
7.527 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
7.527 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
7.527 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
7.528 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
7.528 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
7.528 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
7.528 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
7.528 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
7.528 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
7.528 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
7.528 * [backup-simplify]: Simplify (+ 0) into 0
7.529 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
7.529 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
7.529 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.529 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
7.530 * [backup-simplify]: Simplify (+ 0 0) into 0
7.530 * [backup-simplify]: Simplify (+ 0) into 0
7.530 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
7.530 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
7.531 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.531 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
7.531 * [backup-simplify]: Simplify (+ 0 0) into 0
7.532 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
7.532 * [backup-simplify]: Simplify (+ 0 0) into 0
7.532 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
7.532 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx
7.532 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx
7.532 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx
7.532 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
7.532 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
7.532 * [taylor]: Taking taylor expansion of kx in kx
7.532 * [backup-simplify]: Simplify 0 into 0
7.532 * [backup-simplify]: Simplify 1 into 1
7.533 * [backup-simplify]: Simplify (/ 1 1) into 1
7.533 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
7.533 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx
7.533 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
7.533 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
7.533 * [taylor]: Taking taylor expansion of ky in kx
7.533 * [backup-simplify]: Simplify ky into ky
7.533 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
7.533 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.533 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
7.533 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
7.533 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
7.534 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
7.534 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
7.534 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
7.534 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
7.534 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
7.534 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
7.535 * [backup-simplify]: Simplify (+ 0) into 0
7.535 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
7.535 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
7.536 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.537 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
7.537 * [backup-simplify]: Simplify (+ 0 0) into 0
7.537 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
7.538 * [backup-simplify]: Simplify (+ 0 0) into 0
7.538 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
7.538 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
7.538 * [taylor]: Taking taylor expansion of 0 in kx
7.538 * [backup-simplify]: Simplify 0 into 0
7.538 * [backup-simplify]: Simplify 0 into 0
7.538 * [backup-simplify]: Simplify 0 into 0
7.539 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
7.540 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.541 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
7.541 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
7.542 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.542 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
7.543 * [backup-simplify]: Simplify (+ 0 0) into 0
7.544 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.545 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
7.545 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
7.546 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.546 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
7.546 * [backup-simplify]: Simplify (+ 0 0) into 0
7.547 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
7.547 * [backup-simplify]: Simplify (+ 0 0) into 0
7.548 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
7.548 * [taylor]: Taking taylor expansion of 0 in kx
7.548 * [backup-simplify]: Simplify 0 into 0
7.548 * [backup-simplify]: Simplify 0 into 0
7.548 * [backup-simplify]: Simplify 0 into 0
7.549 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
7.550 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.551 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
7.551 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
7.552 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.552 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
7.553 * [backup-simplify]: Simplify (+ 0 0) into 0
7.553 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
7.553 * [backup-simplify]: Simplify (+ 0 0) into 0
7.554 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
7.554 * [backup-simplify]: Simplify 0 into 0
7.555 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 ky)))))) into 0
7.556 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.557 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.557 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
7.559 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
7.559 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
7.560 * [backup-simplify]: Simplify (+ 0 0) into 0
7.561 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.561 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.562 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
7.563 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
7.564 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
7.564 * [backup-simplify]: Simplify (+ 0 0) into 0
7.565 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 kx)))))) into 0
7.565 * [backup-simplify]: Simplify (+ 0 0) into 0
7.566 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
7.566 * [taylor]: Taking taylor expansion of 0 in kx
7.567 * [backup-simplify]: Simplify 0 into 0
7.567 * [backup-simplify]: Simplify 0 into 0
7.567 * [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)))
7.567 * [backup-simplify]: Simplify (hypot (sin (/ 1 (- ky))) (sin (/ 1 (- kx)))) into (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))
7.567 * [approximate]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in (ky kx) around 0
7.567 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in kx
7.567 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
7.567 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in kx
7.567 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in kx
7.567 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
7.567 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
7.567 * [taylor]: Taking taylor expansion of -1 in kx
7.567 * [backup-simplify]: Simplify -1 into -1
7.567 * [taylor]: Taking taylor expansion of ky in kx
7.567 * [backup-simplify]: Simplify ky into ky
7.567 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
7.567 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.568 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
7.568 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
7.568 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
7.568 * [taylor]: Taking taylor expansion of -1 in kx
7.568 * [backup-simplify]: Simplify -1 into -1
7.568 * [taylor]: Taking taylor expansion of ky in kx
7.568 * [backup-simplify]: Simplify ky into ky
7.568 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
7.568 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.568 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
7.568 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in kx
7.568 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
7.568 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
7.568 * [taylor]: Taking taylor expansion of -1 in kx
7.568 * [backup-simplify]: Simplify -1 into -1
7.568 * [taylor]: Taking taylor expansion of kx in kx
7.568 * [backup-simplify]: Simplify 0 into 0
7.568 * [backup-simplify]: Simplify 1 into 1
7.569 * [backup-simplify]: Simplify (/ -1 1) into -1
7.569 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
7.569 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
7.569 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
7.569 * [taylor]: Taking taylor expansion of -1 in kx
7.569 * [backup-simplify]: Simplify -1 into -1
7.569 * [taylor]: Taking taylor expansion of kx in kx
7.569 * [backup-simplify]: Simplify 0 into 0
7.569 * [backup-simplify]: Simplify 1 into 1
7.569 * [backup-simplify]: Simplify (/ -1 1) into -1
7.569 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
7.569 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
7.569 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
7.570 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
7.570 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
7.570 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
7.570 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
7.570 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
7.570 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
7.570 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
7.570 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
7.571 * [backup-simplify]: Simplify (+ 0) into 0
7.571 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
7.572 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
7.572 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.573 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
7.573 * [backup-simplify]: Simplify (+ 0 0) into 0
7.573 * [backup-simplify]: Simplify (+ 0) into 0
7.574 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
7.574 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
7.575 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.575 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
7.576 * [backup-simplify]: Simplify (+ 0 0) into 0
7.576 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
7.576 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
7.576 * [backup-simplify]: Simplify (+ 0 0) into 0
7.577 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
7.577 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in ky
7.577 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
7.577 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in ky
7.577 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
7.577 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
7.577 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
7.577 * [taylor]: Taking taylor expansion of -1 in ky
7.577 * [backup-simplify]: Simplify -1 into -1
7.577 * [taylor]: Taking taylor expansion of ky in ky
7.577 * [backup-simplify]: Simplify 0 into 0
7.577 * [backup-simplify]: Simplify 1 into 1
7.578 * [backup-simplify]: Simplify (/ -1 1) into -1
7.578 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.578 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
7.578 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
7.578 * [taylor]: Taking taylor expansion of -1 in ky
7.578 * [backup-simplify]: Simplify -1 into -1
7.578 * [taylor]: Taking taylor expansion of ky in ky
7.578 * [backup-simplify]: Simplify 0 into 0
7.578 * [backup-simplify]: Simplify 1 into 1
7.578 * [backup-simplify]: Simplify (/ -1 1) into -1
7.578 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.578 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
7.578 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
7.578 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
7.578 * [taylor]: Taking taylor expansion of -1 in ky
7.578 * [backup-simplify]: Simplify -1 into -1
7.579 * [taylor]: Taking taylor expansion of kx in ky
7.579 * [backup-simplify]: Simplify kx into kx
7.579 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
7.579 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
7.579 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
7.579 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
7.579 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
7.579 * [taylor]: Taking taylor expansion of -1 in ky
7.579 * [backup-simplify]: Simplify -1 into -1
7.579 * [taylor]: Taking taylor expansion of kx in ky
7.579 * [backup-simplify]: Simplify kx into kx
7.579 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
7.579 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
7.579 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
7.579 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
7.579 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
7.579 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
7.579 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
7.580 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
7.580 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
7.580 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
7.580 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
7.580 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
7.580 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
7.581 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
7.581 * [backup-simplify]: Simplify (+ 0) into 0
7.581 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
7.582 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
7.582 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.583 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
7.583 * [backup-simplify]: Simplify (+ 0 0) into 0
7.583 * [backup-simplify]: Simplify (+ 0) into 0
7.584 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
7.584 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
7.585 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.585 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
7.586 * [backup-simplify]: Simplify (+ 0 0) into 0
7.586 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
7.586 * [backup-simplify]: Simplify (+ 0 0) into 0
7.586 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
7.587 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in ky
7.587 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
7.587 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in ky
7.587 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
7.587 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
7.587 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
7.587 * [taylor]: Taking taylor expansion of -1 in ky
7.587 * [backup-simplify]: Simplify -1 into -1
7.587 * [taylor]: Taking taylor expansion of ky in ky
7.587 * [backup-simplify]: Simplify 0 into 0
7.587 * [backup-simplify]: Simplify 1 into 1
7.587 * [backup-simplify]: Simplify (/ -1 1) into -1
7.587 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.587 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
7.587 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
7.587 * [taylor]: Taking taylor expansion of -1 in ky
7.587 * [backup-simplify]: Simplify -1 into -1
7.587 * [taylor]: Taking taylor expansion of ky in ky
7.588 * [backup-simplify]: Simplify 0 into 0
7.588 * [backup-simplify]: Simplify 1 into 1
7.588 * [backup-simplify]: Simplify (/ -1 1) into -1
7.588 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.588 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
7.588 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
7.588 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
7.588 * [taylor]: Taking taylor expansion of -1 in ky
7.588 * [backup-simplify]: Simplify -1 into -1
7.588 * [taylor]: Taking taylor expansion of kx in ky
7.588 * [backup-simplify]: Simplify kx into kx
7.588 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
7.588 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
7.588 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
7.588 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
7.588 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
7.589 * [taylor]: Taking taylor expansion of -1 in ky
7.589 * [backup-simplify]: Simplify -1 into -1
7.589 * [taylor]: Taking taylor expansion of kx in ky
7.589 * [backup-simplify]: Simplify kx into kx
7.589 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
7.589 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
7.589 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
7.589 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
7.589 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
7.589 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
7.589 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
7.589 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
7.589 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
7.589 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
7.590 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
7.590 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
7.590 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
7.590 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
7.591 * [backup-simplify]: Simplify (+ 0) into 0
7.591 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
7.591 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
7.592 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.592 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
7.592 * [backup-simplify]: Simplify (+ 0 0) into 0
7.593 * [backup-simplify]: Simplify (+ 0) into 0
7.593 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
7.593 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
7.594 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.594 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
7.594 * [backup-simplify]: Simplify (+ 0 0) into 0
7.594 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
7.594 * [backup-simplify]: Simplify (+ 0 0) into 0
7.595 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
7.595 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx
7.595 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx
7.595 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx
7.595 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
7.595 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
7.595 * [taylor]: Taking taylor expansion of -1 in kx
7.595 * [backup-simplify]: Simplify -1 into -1
7.595 * [taylor]: Taking taylor expansion of kx in kx
7.595 * [backup-simplify]: Simplify 0 into 0
7.595 * [backup-simplify]: Simplify 1 into 1
7.595 * [backup-simplify]: Simplify (/ -1 1) into -1
7.595 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
7.595 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx
7.595 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
7.595 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
7.595 * [taylor]: Taking taylor expansion of -1 in kx
7.595 * [backup-simplify]: Simplify -1 into -1
7.595 * [taylor]: Taking taylor expansion of ky in kx
7.595 * [backup-simplify]: Simplify ky into ky
7.595 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
7.595 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.595 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
7.595 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
7.595 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
7.596 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
7.596 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
7.596 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
7.596 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
7.596 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
7.596 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
7.596 * [backup-simplify]: Simplify (+ 0) into 0
7.597 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
7.597 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
7.597 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.597 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
7.598 * [backup-simplify]: Simplify (+ 0 0) into 0
7.598 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
7.598 * [backup-simplify]: Simplify (+ 0 0) into 0
7.598 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
7.599 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
7.599 * [taylor]: Taking taylor expansion of 0 in kx
7.599 * [backup-simplify]: Simplify 0 into 0
7.599 * [backup-simplify]: Simplify 0 into 0
7.599 * [backup-simplify]: Simplify 0 into 0
7.599 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
7.600 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.600 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
7.600 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
7.601 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.601 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
7.601 * [backup-simplify]: Simplify (+ 0 0) into 0
7.602 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.602 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
7.602 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
7.603 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.603 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
7.603 * [backup-simplify]: Simplify (+ 0 0) into 0
7.604 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
7.604 * [backup-simplify]: Simplify (+ 0 0) into 0
7.605 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
7.605 * [taylor]: Taking taylor expansion of 0 in kx
7.605 * [backup-simplify]: Simplify 0 into 0
7.605 * [backup-simplify]: Simplify 0 into 0
7.605 * [backup-simplify]: Simplify 0 into 0
7.605 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
7.606 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.606 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
7.606 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
7.607 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.607 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
7.607 * [backup-simplify]: Simplify (+ 0 0) into 0
7.608 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
7.608 * [backup-simplify]: Simplify (+ 0 0) into 0
7.608 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
7.608 * [backup-simplify]: Simplify 0 into 0
7.609 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 ky)))))) into 0
7.610 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.610 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.610 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
7.613 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
7.613 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
7.614 * [backup-simplify]: Simplify (+ 0 0) into 0
7.614 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.615 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.615 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
7.616 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
7.616 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
7.616 * [backup-simplify]: Simplify (+ 0 0) into 0
7.617 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 kx)))))) into 0
7.617 * [backup-simplify]: Simplify (+ 0 0) into 0
7.618 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
7.618 * [taylor]: Taking taylor expansion of 0 in kx
7.618 * [backup-simplify]: Simplify 0 into 0
7.618 * [backup-simplify]: Simplify 0 into 0
7.618 * [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)))
7.618 * * * [progress]: simplifying candidates
7.618 * * * * [progress]: [ 1 / 76 ] simplifiying candidate #<alt (λ (kx ky th) (log1p (expm1 (* (sin th) (/ (sin ky) (* 1 (hypot (sin ky) (sin kx))))))))>
7.618 * * * * [progress]: [ 2 / 76 ] simplifiying candidate #<alt (λ (kx ky th) (expm1 (log1p (* (sin th) (/ (sin ky) (* 1 (hypot (sin ky) (sin kx))))))))>
7.618 * * * * [progress]: [ 3 / 76 ] simplifiying candidate #<alt (λ (kx ky th) (pow (* (sin th) (/ (sin ky) (* 1 (hypot (sin ky) (sin kx))))) 1))>
7.618 * * * * [progress]: [ 4 / 76 ] simplifiying candidate #<alt (λ (kx ky th) (pow (* (sin th) (/ (sin ky) (* 1 (hypot (sin ky) (sin kx))))) 1))>
7.618 * * * * [progress]: [ 5 / 76 ] simplifiying candidate #<alt (λ (kx ky th) (exp (+ (log (sin th)) (- (log (sin ky)) (+ 0 (log (hypot (sin ky) (sin kx))))))))>
7.618 * * * * [progress]: [ 6 / 76 ] simplifiying candidate #<alt (λ (kx ky th) (exp (+ (log (sin th)) (- (log (sin ky)) (+ (log 1) (log (hypot (sin ky) (sin kx))))))))>
7.619 * * * * [progress]: [ 7 / 76 ] simplifiying candidate #<alt (λ (kx ky th) (exp (+ (log (sin th)) (- (log (sin ky)) (log (* 1 (hypot (sin ky) (sin kx))))))))>
7.619 * * * * [progress]: [ 8 / 76 ] simplifiying candidate #<alt (λ (kx ky th) (exp (+ (log (sin th)) (log (/ (sin ky) (* 1 (hypot (sin ky) (sin kx))))))))>
7.619 * * * * [progress]: [ 9 / 76 ] simplifiying candidate #<alt (λ (kx ky th) (exp (log (* (sin th) (/ (sin ky) (* 1 (hypot (sin ky) (sin kx))))))))>
7.619 * * * * [progress]: [ 10 / 76 ] simplifiying candidate #<alt (λ (kx ky th) (log (exp (* (sin th) (/ (sin ky) (* 1 (hypot (sin ky) (sin kx))))))))>
7.619 * * * * [progress]: [ 11 / 76 ] simplifiying candidate #<alt (λ (kx ky th) (cbrt (* (* (* (sin th) (sin th)) (sin th)) (/ (* (* (sin ky) (sin ky)) (sin ky)) (* (* (* 1 1) 1) (* (* (hypot (sin ky) (sin kx)) (hypot (sin ky) (sin kx))) (hypot (sin ky) (sin kx))))))))>
7.619 * * * * [progress]: [ 12 / 76 ] simplifiying candidate #<alt (λ (kx ky th) (cbrt (* (* (* (sin th) (sin th)) (sin th)) (/ (* (* (sin ky) (sin ky)) (sin ky)) (* (* (* 1 (hypot (sin ky) (sin kx))) (* 1 (hypot (sin ky) (sin kx)))) (* 1 (hypot (sin ky) (sin kx))))))))>
7.619 * * * * [progress]: [ 13 / 76 ] simplifiying candidate #<alt (λ (kx ky th) (cbrt (* (* (* (sin th) (sin th)) (sin th)) (* (* (/ (sin ky) (* 1 (hypot (sin ky) (sin kx)))) (/ (sin ky) (* 1 (hypot (sin ky) (sin kx))))) (/ (sin ky) (* 1 (hypot (sin ky) (sin kx))))))))>
7.619 * * * * [progress]: [ 14 / 76 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (cbrt (* (sin th) (/ (sin ky) (* 1 (hypot (sin ky) (sin kx)))))) (cbrt (* (sin th) (/ (sin ky) (* 1 (hypot (sin ky) (sin kx))))))) (cbrt (* (sin th) (/ (sin ky) (* 1 (hypot (sin ky) (sin kx))))))))>
7.619 * * * * [progress]: [ 15 / 76 ] simplifiying candidate #<alt (λ (kx ky th) (cbrt (* (* (* (sin th) (/ (sin ky) (* 1 (hypot (sin ky) (sin kx))))) (* (sin th) (/ (sin ky) (* 1 (hypot (sin ky) (sin kx)))))) (* (sin th) (/ (sin ky) (* 1 (hypot (sin ky) (sin kx))))))))>
7.619 * * * * [progress]: [ 16 / 76 ] simplifiying candidate #<alt (λ (kx ky th) (* (sqrt (* (sin th) (/ (sin ky) (* 1 (hypot (sin ky) (sin kx)))))) (sqrt (* (sin th) (/ (sin ky) (* 1 (hypot (sin ky) (sin kx))))))))>
7.619 * * * * [progress]: [ 17 / 76 ] simplifiying candidate #<alt (λ (kx ky th) (* 1 (* (sin th) (/ (sin ky) (* 1 (hypot (sin ky) (sin kx)))))))>
7.619 * * * * [progress]: [ 18 / 76 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sqrt (sin th)) (sqrt (/ (sin ky) (* 1 (hypot (sin ky) (sin kx)))))) (* (sqrt (sin th)) (sqrt (/ (sin ky) (* 1 (hypot (sin ky) (sin kx))))))))>
7.619 * * * * [progress]: [ 19 / 76 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (* (cbrt (/ (sin ky) (* 1 (hypot (sin ky) (sin kx))))) (cbrt (/ (sin ky) (* 1 (hypot (sin ky) (sin kx))))))) (cbrt (/ (sin ky) (* 1 (hypot (sin ky) (sin kx)))))))>
7.619 * * * * [progress]: [ 20 / 76 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (sqrt (/ (sin ky) (* 1 (hypot (sin ky) (sin kx)))))) (sqrt (/ (sin ky) (* 1 (hypot (sin ky) (sin kx)))))))>
7.619 * * * * [progress]: [ 21 / 76 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ (* (cbrt (sin ky)) (cbrt (sin ky))) 1)) (/ (cbrt (sin ky)) (hypot (sin ky) (sin kx)))))>
7.619 * * * * [progress]: [ 22 / 76 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ (sqrt (sin ky)) 1)) (/ (sqrt (sin ky)) (hypot (sin ky) (sin kx)))))>
7.619 * * * * [progress]: [ 23 / 76 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ 1 1)) (/ (sin ky) (hypot (sin ky) (sin kx)))))>
7.619 * * * * [progress]: [ 24 / 76 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) 1) (/ (sin ky) (* 1 (hypot (sin ky) (sin kx))))))>
7.619 * * * * [progress]: [ 25 / 76 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (sin ky)) (/ 1 (* 1 (hypot (sin ky) (sin kx))))))>
7.619 * * * * [progress]: [ 26 / 76 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (cbrt (sin th)) (cbrt (sin th))) (* (cbrt (sin th)) (/ (sin ky) (* 1 (hypot (sin ky) (sin kx)))))))>
7.619 * * * * [progress]: [ 27 / 76 ] simplifiying candidate #<alt (λ (kx ky th) (* (sqrt (sin th)) (* (sqrt (sin th)) (/ (sin ky) (* 1 (hypot (sin ky) (sin kx)))))))>
7.619 * * * * [progress]: [ 28 / 76 ] simplifiying candidate #<alt (λ (kx ky th) (* 1 (* (sin th) (/ (sin ky) (* 1 (hypot (sin ky) (sin kx)))))))>
7.619 * * * * [progress]: [ 29 / 76 ] simplifiying candidate #<alt (λ (kx ky th) (/ (* (sin th) (sin ky)) (* 1 (hypot (sin ky) (sin kx)))))>
7.619 * * * * [progress]: [ 30 / 76 ] simplifiying candidate #<alt (λ (kx ky th) (posit16->real (real->posit16 (* (sin th) (/ (sin ky) (* 1 (hypot (sin ky) (sin kx))))))))>
7.619 * * * * [progress]: [ 31 / 76 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin ky) (* 1 (hypot (sin ky) (sin kx)))) (sin th)))>
7.619 * * * * [progress]: [ 32 / 76 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (expm1 (/ (sin ky) (* 1 (hypot (sin ky) (sin kx))))))))>
7.619 * * * * [progress]: [ 33 / 76 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (expm1 (log1p (/ (sin ky) (* 1 (hypot (sin ky) (sin kx))))))))>
7.620 * * * * [progress]: [ 34 / 76 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (pow (/ (sin ky) (* 1 (hypot (sin ky) (sin kx)))) 1)))>
7.620 * * * * [progress]: [ 35 / 76 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (exp (- (log (sin ky)) (+ 0 (log (hypot (sin ky) (sin kx))))))))>
7.620 * * * * [progress]: [ 36 / 76 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (exp (- (log (sin ky)) (+ (log 1) (log (hypot (sin ky) (sin kx))))))))>
7.620 * * * * [progress]: [ 37 / 76 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (exp (- (log (sin ky)) (log (* 1 (hypot (sin ky) (sin kx))))))))>
7.620 * * * * [progress]: [ 38 / 76 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (exp (log (/ (sin ky) (* 1 (hypot (sin ky) (sin kx))))))))>
7.620 * * * * [progress]: [ 39 / 76 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log (exp (/ (sin ky) (* 1 (hypot (sin ky) (sin kx))))))))>
7.620 * * * * [progress]: [ 40 / 76 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (cbrt (/ (* (* (sin ky) (sin ky)) (sin ky)) (* (* (* 1 1) 1) (* (* (hypot (sin ky) (sin kx)) (hypot (sin ky) (sin kx))) (hypot (sin ky) (sin kx))))))))>
7.620 * * * * [progress]: [ 41 / 76 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (cbrt (/ (* (* (sin ky) (sin ky)) (sin ky)) (* (* (* 1 (hypot (sin ky) (sin kx))) (* 1 (hypot (sin ky) (sin kx)))) (* 1 (hypot (sin ky) (sin kx))))))))>
7.620 * * * * [progress]: [ 42 / 76 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (* (cbrt (/ (sin ky) (* 1 (hypot (sin ky) (sin kx))))) (cbrt (/ (sin ky) (* 1 (hypot (sin ky) (sin kx)))))) (cbrt (/ (sin ky) (* 1 (hypot (sin ky) (sin kx))))))))>
7.620 * * * * [progress]: [ 43 / 76 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (cbrt (* (* (/ (sin ky) (* 1 (hypot (sin ky) (sin kx)))) (/ (sin ky) (* 1 (hypot (sin ky) (sin kx))))) (/ (sin ky) (* 1 (hypot (sin ky) (sin kx))))))))>
7.620 * * * * [progress]: [ 44 / 76 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (sqrt (/ (sin ky) (* 1 (hypot (sin ky) (sin kx))))) (sqrt (/ (sin ky) (* 1 (hypot (sin ky) (sin kx))))))))>
7.620 * * * * [progress]: [ 45 / 76 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (- (sin ky)) (- (* 1 (hypot (sin ky) (sin kx)))))))>
7.620 * * * * [progress]: [ 46 / 76 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ (* (cbrt (sin ky)) (cbrt (sin ky))) 1) (/ (cbrt (sin ky)) (hypot (sin ky) (sin kx))))))>
7.620 * * * * [progress]: [ 47 / 76 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ (sqrt (sin ky)) 1) (/ (sqrt (sin ky)) (hypot (sin ky) (sin kx))))))>
7.620 * * * * [progress]: [ 48 / 76 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ 1 1) (/ (sin ky) (hypot (sin ky) (sin kx))))))>
7.620 * * * * [progress]: [ 49 / 76 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* 1 (/ (sin ky) (* 1 (hypot (sin ky) (sin kx)))))))>
7.620 * * * * [progress]: [ 50 / 76 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (sin ky) (/ 1 (* 1 (hypot (sin ky) (sin kx)))))))>
7.620 * * * * [progress]: [ 51 / 76 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (/ (* 1 (hypot (sin ky) (sin kx))) (sin ky)))))>
7.620 * * * * [progress]: [ 52 / 76 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (/ (sin ky) 1) (hypot (sin ky) (sin kx)))))>
7.620 * * * * [progress]: [ 53 / 76 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (/ (* 1 (hypot (sin ky) (sin kx))) (cbrt (sin ky))))))>
7.620 * * * * [progress]: [ 54 / 76 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (sqrt (sin ky)) (/ (* 1 (hypot (sin ky) (sin kx))) (sqrt (sin ky))))))>
7.620 * * * * [progress]: [ 55 / 76 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (/ (* 1 (hypot (sin ky) (sin kx))) (sin ky)))))>
7.620 * * * * [progress]: [ 56 / 76 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (posit16->real (real->posit16 (/ (sin ky) (* 1 (hypot (sin ky) (sin kx))))))))>
7.620 * * * * [progress]: [ 57 / 76 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (sin ky) (* 1 (log1p (expm1 (hypot (sin ky) (sin kx))))))))>
7.620 * * * * [progress]: [ 58 / 76 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (sin ky) (* 1 (expm1 (log1p (hypot (sin ky) (sin kx))))))))>
7.620 * * * * [progress]: [ 59 / 76 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (sin ky) (* 1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))))))>
7.620 * * * * [progress]: [ 60 / 76 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (sin ky) (* 1 (pow (hypot (sin ky) (sin kx)) 1)))))>
7.621 * * * * [progress]: [ 61 / 76 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (sin ky) (* 1 (exp (log (hypot (sin ky) (sin kx))))))))>
7.621 * * * * [progress]: [ 62 / 76 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (sin ky) (* 1 (log (exp (hypot (sin ky) (sin kx))))))))>
7.621 * * * * [progress]: [ 63 / 76 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (sin ky) (* 1 (* (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (cbrt (hypot (sin ky) (sin kx))))))))>
7.621 * * * * [progress]: [ 64 / 76 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (sin ky) (* 1 (cbrt (* (* (hypot (sin ky) (sin kx)) (hypot (sin ky) (sin kx))) (hypot (sin ky) (sin kx))))))))>
7.621 * * * * [progress]: [ 65 / 76 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (sin ky) (* 1 (* (sqrt (hypot (sin ky) (sin kx))) (sqrt (hypot (sin ky) (sin kx))))))))>
7.621 * * * * [progress]: [ 66 / 76 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (sin ky) (* 1 (* 1 (hypot (sin ky) (sin kx)))))))>
7.621 * * * * [progress]: [ 67 / 76 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (sin ky) (* 1 (posit16->real (real->posit16 (hypot (sin ky) (sin kx))))))))>
7.621 * * * * [progress]: [ 68 / 76 ] simplifiying candidate #<alt (λ (kx ky th) (* 1/6 (* kx (* ky th))))>
7.621 * * * * [progress]: [ 69 / 76 ] simplifiying candidate #<alt (λ (kx ky th) (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky))))>
7.621 * * * * [progress]: [ 70 / 76 ] simplifiying candidate #<alt (λ (kx ky th) (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky))))>
7.621 * * * * [progress]: [ 71 / 76 ] 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))))))>
7.621 * * * * [progress]: [ 72 / 76 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))))>
7.621 * * * * [progress]: [ 73 / 76 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))))>
7.621 * * * * [progress]: [ 74 / 76 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (sin ky) (* 1 (- (+ (* 1/12 (* kx (pow ky 2))) kx) (* 1/6 (pow kx 3)))))))>
7.621 * * * * [progress]: [ 75 / 76 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (sin ky) (* 1 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))))))>
7.621 * * * * [progress]: [ 76 / 76 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (sin ky) (* 1 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))))))>
7.622 * [simplify]: Simplifying:
  (expm1 (* (sin th) (/ (sin ky) (* 1 (hypot (sin ky) (sin kx))))))
  (log1p (* (sin th) (/ (sin ky) (* 1 (hypot (sin ky) (sin kx))))))
  (* (sin th) (/ (sin ky) (* 1 (hypot (sin ky) (sin kx)))))
  (+ (log (sin th)) (- (log (sin ky)) (+ 0 (log (hypot (sin ky) (sin kx))))))
  (+ (log (sin th)) (- (log (sin ky)) (+ (log 1) (log (hypot (sin ky) (sin kx))))))
  (+ (log (sin th)) (- (log (sin ky)) (log (* 1 (hypot (sin ky) (sin kx))))))
  (+ (log (sin th)) (log (/ (sin ky) (* 1 (hypot (sin ky) (sin kx))))))
  (log (* (sin th) (/ (sin ky) (* 1 (hypot (sin ky) (sin kx))))))
  (exp (* (sin th) (/ (sin ky) (* 1 (hypot (sin ky) (sin kx))))))
  (* (* (* (sin th) (sin th)) (sin th)) (/ (* (* (sin ky) (sin ky)) (sin ky)) (* (* (* 1 1) 1) (* (* (hypot (sin ky) (sin kx)) (hypot (sin ky) (sin kx))) (hypot (sin ky) (sin kx))))))
  (* (* (* (sin th) (sin th)) (sin th)) (/ (* (* (sin ky) (sin ky)) (sin ky)) (* (* (* 1 (hypot (sin ky) (sin kx))) (* 1 (hypot (sin ky) (sin kx)))) (* 1 (hypot (sin ky) (sin kx))))))
  (* (* (* (sin th) (sin th)) (sin th)) (* (* (/ (sin ky) (* 1 (hypot (sin ky) (sin kx)))) (/ (sin ky) (* 1 (hypot (sin ky) (sin kx))))) (/ (sin ky) (* 1 (hypot (sin ky) (sin kx))))))
  (* (cbrt (* (sin th) (/ (sin ky) (* 1 (hypot (sin ky) (sin kx)))))) (cbrt (* (sin th) (/ (sin ky) (* 1 (hypot (sin ky) (sin kx)))))))
  (cbrt (* (sin th) (/ (sin ky) (* 1 (hypot (sin ky) (sin kx))))))
  (* (* (* (sin th) (/ (sin ky) (* 1 (hypot (sin ky) (sin kx))))) (* (sin th) (/ (sin ky) (* 1 (hypot (sin ky) (sin kx)))))) (* (sin th) (/ (sin ky) (* 1 (hypot (sin ky) (sin kx))))))
  (sqrt (* (sin th) (/ (sin ky) (* 1 (hypot (sin ky) (sin kx))))))
  (sqrt (* (sin th) (/ (sin ky) (* 1 (hypot (sin ky) (sin kx))))))
  (* (sqrt (sin th)) (sqrt (/ (sin ky) (* 1 (hypot (sin ky) (sin kx))))))
  (* (sqrt (sin th)) (sqrt (/ (sin ky) (* 1 (hypot (sin ky) (sin kx))))))
  (* (sin th) (* (cbrt (/ (sin ky) (* 1 (hypot (sin ky) (sin kx))))) (cbrt (/ (sin ky) (* 1 (hypot (sin ky) (sin kx)))))))
  (* (sin th) (sqrt (/ (sin ky) (* 1 (hypot (sin ky) (sin kx))))))
  (* (sin th) (/ (* (cbrt (sin ky)) (cbrt (sin ky))) 1))
  (* (sin th) (/ (sqrt (sin ky)) 1))
  (* (sin th) (/ 1 1))
  (* (sin th) 1)
  (* (sin th) (sin ky))
  (* (cbrt (sin th)) (/ (sin ky) (* 1 (hypot (sin ky) (sin kx)))))
  (* (sqrt (sin th)) (/ (sin ky) (* 1 (hypot (sin ky) (sin kx)))))
  (* (sin th) (/ (sin ky) (* 1 (hypot (sin ky) (sin kx)))))
  (* (sin th) (sin ky))
  (real->posit16 (* (sin th) (/ (sin ky) (* 1 (hypot (sin ky) (sin kx))))))
  (expm1 (/ (sin ky) (* 1 (hypot (sin ky) (sin kx)))))
  (log1p (/ (sin ky) (* 1 (hypot (sin ky) (sin kx)))))
  (- (log (sin ky)) (+ 0 (log (hypot (sin ky) (sin kx)))))
  (- (log (sin ky)) (+ (log 1) (log (hypot (sin ky) (sin kx)))))
  (- (log (sin ky)) (log (* 1 (hypot (sin ky) (sin kx)))))
  (log (/ (sin ky) (* 1 (hypot (sin ky) (sin kx)))))
  (exp (/ (sin ky) (* 1 (hypot (sin ky) (sin kx)))))
  (/ (* (* (sin ky) (sin ky)) (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 (hypot (sin ky) (sin kx))) (* 1 (hypot (sin ky) (sin kx)))) (* 1 (hypot (sin ky) (sin kx)))))
  (* (cbrt (/ (sin ky) (* 1 (hypot (sin ky) (sin kx))))) (cbrt (/ (sin ky) (* 1 (hypot (sin ky) (sin kx))))))
  (cbrt (/ (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) (* 1 (hypot (sin ky) (sin kx)))))
  (sqrt (/ (sin ky) (* 1 (hypot (sin ky) (sin kx)))))
  (sqrt (/ (sin ky) (* 1 (hypot (sin ky) (sin kx)))))
  (- (sin ky))
  (- (* 1 (hypot (sin ky) (sin kx))))
  (/ (* (cbrt (sin ky)) (cbrt (sin ky))) 1)
  (/ (cbrt (sin ky)) (hypot (sin ky) (sin kx)))
  (/ (sqrt (sin ky)) 1)
  (/ (sqrt (sin ky)) (hypot (sin ky) (sin kx)))
  (/ 1 1)
  (/ (sin ky) (hypot (sin ky) (sin kx)))
  (/ 1 (* 1 (hypot (sin ky) (sin kx))))
  (/ (* 1 (hypot (sin ky) (sin kx))) (sin ky))
  (/ (sin ky) 1)
  (/ (* 1 (hypot (sin ky) (sin kx))) (cbrt (sin ky)))
  (/ (* 1 (hypot (sin ky) (sin kx))) (sqrt (sin ky)))
  (/ (* 1 (hypot (sin ky) (sin kx))) (sin ky))
  (real->posit16 (/ (sin ky) (* 1 (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 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)))
  (- (+ (* 1/6 (* 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))
  (- (+ (* 1/12 (* 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)))
7.623 * * [simplify]: iteration 0: 132 enodes
7.668 * * [simplify]: iteration 1: 323 enodes
7.769 * * [simplify]: iteration 2: 1123 enodes
8.554 * * [simplify]: iteration 3: 3066 enodes
9.440 * * [simplify]: iteration complete: 5008 enodes
9.440 * * [simplify]: Extracting #0: cost 57 inf + 0
9.443 * * [simplify]: Extracting #1: cost 496 inf + 1
9.452 * * [simplify]: Extracting #2: cost 1114 inf + 6604
9.500 * * [simplify]: Extracting #3: cost 569 inf + 179785
9.596 * * [simplify]: Extracting #4: cost 69 inf + 359261
9.700 * * [simplify]: Extracting #5: cost 2 inf + 383309
9.848 * * [simplify]: Extracting #6: cost 0 inf + 384025
9.948 * [simplify]: Simplified to:
  (expm1 (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (log1p (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (/ (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))))
  (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))))
  (* (* (/ (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))))
  (* (sqrt (sin th)) (sqrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (sqrt (sin th)) (sqrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (* (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))
  (* (* (sin th) (cbrt (sin ky))) (cbrt (sin ky)))
  (* (sqrt (sin ky)) (sin th))
  (sin th)
  (sin th)
  (* (sin ky) (sin th))
  (/ (cbrt (sin th)) (/ (hypot (sin ky) (sin kx)) (sin ky)))
  (/ (* (sqrt (sin th)) (sin ky)) (hypot (sin ky) (sin kx)))
  (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky)))
  (* (sin ky) (sin th))
  (real->posit16 (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (expm1 (/ (sin ky) (hypot (sin ky) (sin kx))))
  (log1p (/ (sin ky) (hypot (sin ky) (sin kx))))
  (log (/ (sin ky) (hypot (sin ky) (sin kx))))
  (log (/ (sin ky) (hypot (sin ky) (sin kx))))
  (log (/ (sin ky) (hypot (sin ky) (sin kx))))
  (log (/ (sin ky) (hypot (sin ky) (sin kx))))
  (exp (/ (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)))))
  (* (/ (sin ky) (hypot (sin ky) (sin kx))) (* (/ (sin ky) (hypot (sin ky) (sin kx))) (/ (sin ky) (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 (sin ky)) (hypot (sin ky) (sin kx)))
  (sqrt (sin ky))
  (/ (sqrt (sin ky)) (hypot (sin ky) (sin kx)))
  1
  (/ (sin ky) (hypot (sin ky) (sin kx)))
  (/ 1 (hypot (sin ky) (sin kx)))
  (/ (hypot (sin ky) (sin kx)) (sin ky))
  (sin ky)
  (/ (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 (hypot (sin ky) (sin kx)))
  (log1p (hypot (sin ky) (sin kx)))
  (fma (sin kx) (sin kx) (* (sin ky) (sin ky)))
  (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)))
  (* th (* (* 1/6 ky) kx))
  (* (* (sin ky) (sin 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))))))
  (fma ky (* kx (fma 7/360 (* kx kx) 1/6)) (* (* -71/720 kx) (* ky (* ky ky))))
  (* (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))))))
  (fma kx (- (* (* 1/12 ky) ky) (* 1/6 (* kx kx))) kx)
  (hypot (sin ky) (sin kx))
  (hypot (sin ky) (sin kx))
9.952 * * * [progress]: adding candidates to table
10.294 * * [progress]: iteration 3 / 4
10.294 * * * [progress]: picking best candidate
10.416 * * * * [pick]: Picked  #<alt (λ (kx ky th) (* (sin th) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))>
10.416 * * * [progress]: localizing error
10.448 * * * [progress]: generating rewritten candidates
10.448 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
10.459 * * * * [progress]: [ 2 / 4 ] rewriting at (2)
10.505 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2)
10.516 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1)
10.522 * * * [progress]: generating series expansions
10.522 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
10.523 * [backup-simplify]: Simplify (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky))) into (/ (sin ky) (hypot (sin ky) (sin kx)))
10.523 * [approximate]: Taking taylor expansion of (/ (sin ky) (hypot (sin ky) (sin kx))) in (ky kx) around 0
10.523 * [taylor]: Taking taylor expansion of (/ (sin ky) (hypot (sin ky) (sin kx))) in kx
10.523 * [taylor]: Taking taylor expansion of (sin ky) in kx
10.523 * [taylor]: Taking taylor expansion of ky in kx
10.523 * [backup-simplify]: Simplify ky into ky
10.523 * [backup-simplify]: Simplify (sin ky) into (sin ky)
10.523 * [backup-simplify]: Simplify (cos ky) into (cos ky)
10.523 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in kx
10.523 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
10.523 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in kx
10.523 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in kx
10.523 * [taylor]: Taking taylor expansion of (sin ky) in kx
10.523 * [taylor]: Taking taylor expansion of ky in kx
10.524 * [backup-simplify]: Simplify ky into ky
10.524 * [backup-simplify]: Simplify (sin ky) into (sin ky)
10.524 * [backup-simplify]: Simplify (cos ky) into (cos ky)
10.524 * [taylor]: Taking taylor expansion of (sin ky) in kx
10.524 * [taylor]: Taking taylor expansion of ky in kx
10.524 * [backup-simplify]: Simplify ky into ky
10.524 * [backup-simplify]: Simplify (sin ky) into (sin ky)
10.524 * [backup-simplify]: Simplify (cos ky) into (cos ky)
10.524 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in kx
10.524 * [taylor]: Taking taylor expansion of (sin kx) in kx
10.524 * [taylor]: Taking taylor expansion of kx in kx
10.524 * [backup-simplify]: Simplify 0 into 0
10.524 * [backup-simplify]: Simplify 1 into 1
10.524 * [taylor]: Taking taylor expansion of (sin kx) in kx
10.524 * [taylor]: Taking taylor expansion of kx in kx
10.524 * [backup-simplify]: Simplify 0 into 0
10.524 * [backup-simplify]: Simplify 1 into 1
10.524 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
10.524 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
10.524 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
10.524 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
10.524 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
10.524 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
10.525 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
10.525 * [backup-simplify]: Simplify (* 0 0) into 0
10.525 * [backup-simplify]: Simplify (+ (pow (sin ky) 2) 0) into (pow (sin ky) 2)
10.525 * [backup-simplify]: Simplify (sqrt (pow (sin ky) 2)) into (sin ky)
10.526 * [backup-simplify]: Simplify (+ 0) into 0
10.526 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
10.527 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.527 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
10.528 * [backup-simplify]: Simplify (+ 0 0) into 0
10.528 * [backup-simplify]: Simplify (+ 0) into 0
10.529 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
10.530 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.530 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
10.530 * [backup-simplify]: Simplify (+ 0 0) into 0
10.531 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
10.531 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
10.532 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
10.533 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
10.533 * [backup-simplify]: Simplify (+ 0 0) into 0
10.533 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin ky) 2)))) into 0
10.533 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
10.533 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
10.534 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
10.534 * [backup-simplify]: Simplify (/ (sin ky) (sin ky)) into 1
10.534 * [taylor]: Taking taylor expansion of (/ (sin ky) (hypot (sin ky) (sin kx))) in ky
10.534 * [taylor]: Taking taylor expansion of (sin ky) in ky
10.534 * [taylor]: Taking taylor expansion of ky in ky
10.534 * [backup-simplify]: Simplify 0 into 0
10.534 * [backup-simplify]: Simplify 1 into 1
10.534 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky
10.534 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
10.534 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky
10.534 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
10.534 * [taylor]: Taking taylor expansion of (sin ky) in ky
10.534 * [taylor]: Taking taylor expansion of ky in ky
10.534 * [backup-simplify]: Simplify 0 into 0
10.534 * [backup-simplify]: Simplify 1 into 1
10.534 * [taylor]: Taking taylor expansion of (sin ky) in ky
10.534 * [taylor]: Taking taylor expansion of ky in ky
10.534 * [backup-simplify]: Simplify 0 into 0
10.534 * [backup-simplify]: Simplify 1 into 1
10.534 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
10.534 * [taylor]: Taking taylor expansion of (sin kx) in ky
10.534 * [taylor]: Taking taylor expansion of kx in ky
10.534 * [backup-simplify]: Simplify kx into kx
10.534 * [backup-simplify]: Simplify (sin kx) into (sin kx)
10.534 * [backup-simplify]: Simplify (cos kx) into (cos kx)
10.534 * [taylor]: Taking taylor expansion of (sin kx) in ky
10.534 * [taylor]: Taking taylor expansion of kx in ky
10.534 * [backup-simplify]: Simplify kx into kx
10.534 * [backup-simplify]: Simplify (sin kx) into (sin kx)
10.535 * [backup-simplify]: Simplify (cos kx) into (cos kx)
10.535 * [backup-simplify]: Simplify (* 0 0) into 0
10.535 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
10.535 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
10.535 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
10.535 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
10.535 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
10.535 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
10.535 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
10.536 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
10.536 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
10.536 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
10.537 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
10.538 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
10.538 * [backup-simplify]: Simplify (+ 0) into 0
10.539 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
10.539 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.540 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
10.540 * [backup-simplify]: Simplify (+ 0 0) into 0
10.541 * [backup-simplify]: Simplify (+ 0) into 0
10.541 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
10.542 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.542 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
10.543 * [backup-simplify]: Simplify (+ 0 0) into 0
10.543 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
10.543 * [backup-simplify]: Simplify (+ 0 0) into 0
10.543 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
10.544 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
10.544 * [backup-simplify]: Simplify (/ 1 (sin kx)) into (/ 1 (sin kx))
10.544 * [taylor]: Taking taylor expansion of (/ (sin ky) (hypot (sin ky) (sin kx))) in ky
10.544 * [taylor]: Taking taylor expansion of (sin ky) in ky
10.544 * [taylor]: Taking taylor expansion of ky in ky
10.544 * [backup-simplify]: Simplify 0 into 0
10.544 * [backup-simplify]: Simplify 1 into 1
10.544 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky
10.544 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
10.544 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky
10.544 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
10.544 * [taylor]: Taking taylor expansion of (sin ky) in ky
10.545 * [taylor]: Taking taylor expansion of ky in ky
10.545 * [backup-simplify]: Simplify 0 into 0
10.545 * [backup-simplify]: Simplify 1 into 1
10.545 * [taylor]: Taking taylor expansion of (sin ky) in ky
10.545 * [taylor]: Taking taylor expansion of ky in ky
10.545 * [backup-simplify]: Simplify 0 into 0
10.545 * [backup-simplify]: Simplify 1 into 1
10.545 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
10.545 * [taylor]: Taking taylor expansion of (sin kx) in ky
10.545 * [taylor]: Taking taylor expansion of kx in ky
10.545 * [backup-simplify]: Simplify kx into kx
10.545 * [backup-simplify]: Simplify (sin kx) into (sin kx)
10.545 * [backup-simplify]: Simplify (cos kx) into (cos kx)
10.545 * [taylor]: Taking taylor expansion of (sin kx) in ky
10.545 * [taylor]: Taking taylor expansion of kx in ky
10.545 * [backup-simplify]: Simplify kx into kx
10.545 * [backup-simplify]: Simplify (sin kx) into (sin kx)
10.545 * [backup-simplify]: Simplify (cos kx) into (cos kx)
10.545 * [backup-simplify]: Simplify (* 0 0) into 0
10.546 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
10.546 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
10.546 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
10.546 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
10.546 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
10.546 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
10.546 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
10.546 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
10.546 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
10.547 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
10.548 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
10.548 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
10.549 * [backup-simplify]: Simplify (+ 0) into 0
10.549 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
10.550 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.550 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
10.551 * [backup-simplify]: Simplify (+ 0 0) into 0
10.551 * [backup-simplify]: Simplify (+ 0) into 0
10.552 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
10.553 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.553 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
10.554 * [backup-simplify]: Simplify (+ 0 0) into 0
10.554 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
10.554 * [backup-simplify]: Simplify (+ 0 0) into 0
10.554 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
10.555 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
10.555 * [backup-simplify]: Simplify (/ 1 (sin kx)) into (/ 1 (sin kx))
10.555 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx
10.555 * [taylor]: Taking taylor expansion of (sin kx) in kx
10.555 * [taylor]: Taking taylor expansion of kx in kx
10.555 * [backup-simplify]: Simplify 0 into 0
10.555 * [backup-simplify]: Simplify 1 into 1
10.556 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
10.556 * [backup-simplify]: Simplify (/ 1 1) into 1
10.557 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.558 * [backup-simplify]: Simplify 0 into 0
10.559 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.559 * [backup-simplify]: Simplify (- (/ 0 (sin kx)) (+ (* (/ 1 (sin kx)) (/ 0 (sin kx))))) into 0
10.559 * [taylor]: Taking taylor expansion of 0 in kx
10.559 * [backup-simplify]: Simplify 0 into 0
10.559 * [backup-simplify]: Simplify 0 into 0
10.561 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
10.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/6
10.562 * [backup-simplify]: Simplify 1/6 into 1/6
10.564 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
10.564 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.565 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.566 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
10.567 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.568 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
10.568 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.569 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
10.569 * [backup-simplify]: Simplify (+ 0 0) into 0
10.570 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.571 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
10.572 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.572 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
10.573 * [backup-simplify]: Simplify (+ 0 0) into 0
10.573 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 (sin kx)))) into 0
10.574 * [backup-simplify]: Simplify (+ 1 0) into 1
10.575 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sin kx))) into (/ 1/2 (sin kx))
10.575 * [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)))))
10.575 * [taylor]: Taking taylor expansion of (- (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))) in kx
10.575 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))) in kx
10.575 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (sin kx))) in kx
10.575 * [taylor]: Taking taylor expansion of 1/6 in kx
10.575 * [backup-simplify]: Simplify 1/6 into 1/6
10.575 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx
10.575 * [taylor]: Taking taylor expansion of (sin kx) in kx
10.575 * [taylor]: Taking taylor expansion of kx in kx
10.575 * [backup-simplify]: Simplify 0 into 0
10.575 * [backup-simplify]: Simplify 1 into 1
10.576 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
10.576 * [backup-simplify]: Simplify (/ 1 1) into 1
10.576 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow (sin kx) 3))) in kx
10.576 * [taylor]: Taking taylor expansion of 1/2 in kx
10.576 * [backup-simplify]: Simplify 1/2 into 1/2
10.576 * [taylor]: Taking taylor expansion of (/ 1 (pow (sin kx) 3)) in kx
10.577 * [taylor]: Taking taylor expansion of (pow (sin kx) 3) in kx
10.577 * [taylor]: Taking taylor expansion of (sin kx) in kx
10.577 * [taylor]: Taking taylor expansion of kx in kx
10.577 * [backup-simplify]: Simplify 0 into 0
10.577 * [backup-simplify]: Simplify 1 into 1
10.577 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
10.578 * [backup-simplify]: Simplify (* 1 1) into 1
10.578 * [backup-simplify]: Simplify (* 1 1) into 1
10.578 * [backup-simplify]: Simplify (/ 1 1) into 1
10.579 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.581 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 1)) into 0
10.582 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
10.583 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.585 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
10.586 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0
10.587 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3
10.588 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.589 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/3) (+ (* -1/6 0) (* 0 1)))) into 0
10.590 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.592 * [backup-simplify]: Simplify (+ (* 1 -1/3) (+ (* 0 0) (* -1/6 1))) into -1/2
10.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/2 1)) (* 0 (/ 0 1)))) into 1/2
10.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/2 1)) (* 1/2 (/ 0 1)))) into 0
10.596 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1/2) (+ (* 0 0) (* 0 1)))) into 0
10.596 * [backup-simplify]: Simplify (+ 0 0) into 0
10.596 * [backup-simplify]: Simplify (- 0) into 0
10.596 * [backup-simplify]: Simplify 0 into 0
10.596 * [backup-simplify]: Simplify 0 into 0
10.598 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
10.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/6 1)) (* 1/6 (/ 0 1)))) into 0
10.600 * [backup-simplify]: Simplify 0 into 0
10.601 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
10.603 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
10.605 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
10.606 * [backup-simplify]: Simplify (+ (* 0 -1/6) (+ (* 1 0) (+ (* 0 1) (* -1/6 0)))) into 0
10.607 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
10.608 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.610 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
10.614 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
10.615 * [backup-simplify]: Simplify (+ 0 0) into 0
10.616 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
10.617 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.619 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
10.620 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
10.620 * [backup-simplify]: Simplify (+ 0 0) into 0
10.621 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin kx))))) into 0
10.621 * [backup-simplify]: Simplify (+ 0 0) into 0
10.622 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sin kx)))))) (* 2 (sin kx))) into 0
10.622 * [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
10.622 * [taylor]: Taking taylor expansion of 0 in kx
10.622 * [backup-simplify]: Simplify 0 into 0
10.622 * [backup-simplify]: Simplify 0 into 0
10.624 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
10.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/6
10.626 * [backup-simplify]: Simplify (+ (* 1/6 1/6) (+ (* 0 0) (* 0 1))) into 1/36
10.630 * [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
10.632 * [backup-simplify]: Simplify (+ (* 1 1/120) (+ (* 0 0) (+ (* -1/6 -1/6) (+ (* 0 0) (* 1/120 1))))) into 2/45
10.634 * [backup-simplify]: Simplify (+ (* 1 2/45) (+ (* 0 0) (+ (* -1/6 -1/3) (+ (* 0 0) (* 1/120 1))))) into 13/120
10.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 13/120 1)) (* 0 (/ 0 1)) (* 1/2 (/ -1/2 1)) (* 0 (/ 0 1)))) into 17/120
10.637 * [backup-simplify]: Simplify (+ (* 1/2 17/120) (+ (* 0 0) (+ (* 0 1/2) (+ (* 0 0) (* 0 1))))) into 17/240
10.638 * [backup-simplify]: Simplify (+ 1/36 17/240) into 71/720
10.638 * [backup-simplify]: Simplify (- 71/720) into -71/720
10.638 * [backup-simplify]: Simplify -71/720 into -71/720
10.638 * [backup-simplify]: Simplify 0 into 0
10.642 * [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
10.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/120 1)) (* 0 (/ 0 1)) (* 1/6 (/ -1/6 1)) (* 0 (/ 0 1)))) into 7/360
10.644 * [backup-simplify]: Simplify 7/360 into 7/360
10.644 * [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))))
10.645 * [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))))
10.645 * [approximate]: Taking taylor expansion of (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in (ky kx) around 0
10.645 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in kx
10.645 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
10.645 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
10.645 * [taylor]: Taking taylor expansion of ky in kx
10.645 * [backup-simplify]: Simplify ky into ky
10.645 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
10.645 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
10.645 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
10.645 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in kx
10.645 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
10.645 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in kx
10.645 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in kx
10.645 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
10.645 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
10.645 * [taylor]: Taking taylor expansion of ky in kx
10.645 * [backup-simplify]: Simplify ky into ky
10.645 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
10.645 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
10.646 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
10.646 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
10.646 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
10.646 * [taylor]: Taking taylor expansion of ky in kx
10.646 * [backup-simplify]: Simplify ky into ky
10.646 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
10.646 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
10.646 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
10.646 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in kx
10.646 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
10.646 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
10.646 * [taylor]: Taking taylor expansion of kx in kx
10.646 * [backup-simplify]: Simplify 0 into 0
10.646 * [backup-simplify]: Simplify 1 into 1
10.647 * [backup-simplify]: Simplify (/ 1 1) into 1
10.647 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
10.647 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
10.647 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
10.647 * [taylor]: Taking taylor expansion of kx in kx
10.647 * [backup-simplify]: Simplify 0 into 0
10.647 * [backup-simplify]: Simplify 1 into 1
10.647 * [backup-simplify]: Simplify (/ 1 1) into 1
10.647 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
10.647 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
10.647 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
10.647 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
10.648 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
10.648 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
10.648 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
10.648 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
10.648 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
10.648 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
10.649 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
10.649 * [backup-simplify]: Simplify (+ 0) into 0
10.650 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
10.650 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
10.651 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.651 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
10.652 * [backup-simplify]: Simplify (+ 0 0) into 0
10.652 * [backup-simplify]: Simplify (+ 0) into 0
10.653 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
10.653 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
10.654 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.654 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
10.655 * [backup-simplify]: Simplify (+ 0 0) into 0
10.655 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
10.655 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
10.655 * [backup-simplify]: Simplify (+ 0 0) into 0
10.656 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
10.656 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
10.656 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
10.656 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
10.656 * [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)))
10.656 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in ky
10.656 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
10.656 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
10.656 * [taylor]: Taking taylor expansion of ky in ky
10.656 * [backup-simplify]: Simplify 0 into 0
10.656 * [backup-simplify]: Simplify 1 into 1
10.657 * [backup-simplify]: Simplify (/ 1 1) into 1
10.657 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
10.657 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky
10.657 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
10.657 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky
10.657 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
10.657 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
10.657 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
10.657 * [taylor]: Taking taylor expansion of ky in ky
10.657 * [backup-simplify]: Simplify 0 into 0
10.657 * [backup-simplify]: Simplify 1 into 1
10.657 * [backup-simplify]: Simplify (/ 1 1) into 1
10.658 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
10.658 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
10.658 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
10.658 * [taylor]: Taking taylor expansion of ky in ky
10.658 * [backup-simplify]: Simplify 0 into 0
10.658 * [backup-simplify]: Simplify 1 into 1
10.658 * [backup-simplify]: Simplify (/ 1 1) into 1
10.658 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
10.658 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
10.658 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
10.658 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
10.658 * [taylor]: Taking taylor expansion of kx in ky
10.658 * [backup-simplify]: Simplify kx into kx
10.658 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
10.658 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
10.658 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
10.659 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
10.659 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
10.659 * [taylor]: Taking taylor expansion of kx in ky
10.659 * [backup-simplify]: Simplify kx into kx
10.659 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
10.659 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
10.659 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
10.659 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
10.659 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
10.659 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
10.659 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
10.659 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
10.659 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
10.659 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
10.660 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
10.660 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
10.660 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
10.660 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
10.661 * [backup-simplify]: Simplify (+ 0) into 0
10.661 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
10.661 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
10.662 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.663 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
10.663 * [backup-simplify]: Simplify (+ 0 0) into 0
10.664 * [backup-simplify]: Simplify (+ 0) into 0
10.664 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
10.664 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
10.665 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.665 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
10.666 * [backup-simplify]: Simplify (+ 0 0) into 0
10.666 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
10.666 * [backup-simplify]: Simplify (+ 0 0) into 0
10.667 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
10.667 * [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)))
10.667 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in ky
10.667 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
10.667 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
10.667 * [taylor]: Taking taylor expansion of ky in ky
10.667 * [backup-simplify]: Simplify 0 into 0
10.667 * [backup-simplify]: Simplify 1 into 1
10.668 * [backup-simplify]: Simplify (/ 1 1) into 1
10.668 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
10.668 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky
10.668 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
10.668 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky
10.668 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
10.668 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
10.668 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
10.668 * [taylor]: Taking taylor expansion of ky in ky
10.668 * [backup-simplify]: Simplify 0 into 0
10.668 * [backup-simplify]: Simplify 1 into 1
10.668 * [backup-simplify]: Simplify (/ 1 1) into 1
10.668 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
10.668 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
10.668 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
10.668 * [taylor]: Taking taylor expansion of ky in ky
10.668 * [backup-simplify]: Simplify 0 into 0
10.668 * [backup-simplify]: Simplify 1 into 1
10.668 * [backup-simplify]: Simplify (/ 1 1) into 1
10.669 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
10.669 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
10.669 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
10.669 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
10.669 * [taylor]: Taking taylor expansion of kx in ky
10.669 * [backup-simplify]: Simplify kx into kx
10.669 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
10.669 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
10.669 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
10.669 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
10.669 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
10.669 * [taylor]: Taking taylor expansion of kx in ky
10.669 * [backup-simplify]: Simplify kx into kx
10.669 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
10.669 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
10.669 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
10.669 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
10.669 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
10.669 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
10.669 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
10.669 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
10.669 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
10.669 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
10.669 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
10.670 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
10.670 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
10.670 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
10.670 * [backup-simplify]: Simplify (+ 0) into 0
10.670 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
10.670 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
10.671 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.671 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
10.671 * [backup-simplify]: Simplify (+ 0 0) into 0
10.672 * [backup-simplify]: Simplify (+ 0) into 0
10.672 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
10.672 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
10.673 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.673 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
10.673 * [backup-simplify]: Simplify (+ 0 0) into 0
10.673 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
10.674 * [backup-simplify]: Simplify (+ 0 0) into 0
10.674 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
10.674 * [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)))
10.674 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) in kx
10.674 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in kx
10.674 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx
10.674 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx
10.674 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx
10.674 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
10.674 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
10.674 * [taylor]: Taking taylor expansion of kx in kx
10.674 * [backup-simplify]: Simplify 0 into 0
10.674 * [backup-simplify]: Simplify 1 into 1
10.675 * [backup-simplify]: Simplify (/ 1 1) into 1
10.675 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
10.675 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx
10.675 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
10.675 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
10.675 * [taylor]: Taking taylor expansion of ky in kx
10.675 * [backup-simplify]: Simplify ky into ky
10.675 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
10.675 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
10.675 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
10.675 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
10.675 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
10.675 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
10.675 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
10.675 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
10.675 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
10.676 * [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)))
10.676 * [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))))
10.676 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
10.676 * [backup-simplify]: Simplify (+ 0) into 0
10.676 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
10.677 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
10.677 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.677 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
10.678 * [backup-simplify]: Simplify (+ 0 0) into 0
10.678 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
10.678 * [backup-simplify]: Simplify (+ 0 0) into 0
10.678 * [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
10.678 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
10.678 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
10.678 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
10.678 * [taylor]: Taking taylor expansion of ky in kx
10.678 * [backup-simplify]: Simplify ky into ky
10.678 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
10.679 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
10.679 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
10.679 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
10.679 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
10.679 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
10.679 * [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)))
10.679 * [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)))
10.680 * [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
10.680 * [taylor]: Taking taylor expansion of 0 in kx
10.680 * [backup-simplify]: Simplify 0 into 0
10.680 * [backup-simplify]: Simplify 0 into 0
10.680 * [backup-simplify]: Simplify (+ 0) into 0
10.680 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
10.681 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
10.681 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.681 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
10.682 * [backup-simplify]: Simplify (+ 0 0) into 0
10.682 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) 0) (* 0 (sin (/ 1 ky)))) into 0
10.682 * [backup-simplify]: Simplify 0 into 0
10.682 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
10.683 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.683 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
10.683 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
10.684 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.684 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
10.684 * [backup-simplify]: Simplify (+ 0 0) into 0
10.685 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.685 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
10.686 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
10.686 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.686 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
10.687 * [backup-simplify]: Simplify (+ 0 0) into 0
10.687 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
10.687 * [backup-simplify]: Simplify (+ 0 0) into 0
10.688 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
10.689 * [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
10.689 * [taylor]: Taking taylor expansion of 0 in kx
10.689 * [backup-simplify]: Simplify 0 into 0
10.689 * [backup-simplify]: Simplify 0 into 0
10.689 * [backup-simplify]: Simplify 0 into 0
10.690 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.691 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
10.691 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
10.692 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.692 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
10.693 * [backup-simplify]: Simplify (+ 0 0) into 0
10.693 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
10.694 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.695 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
10.695 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
10.696 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.696 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
10.697 * [backup-simplify]: Simplify (+ 0 0) into 0
10.697 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
10.698 * [backup-simplify]: Simplify (+ 0 0) into 0
10.698 * [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
10.699 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
10.700 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
10.700 * [backup-simplify]: Simplify 0 into 0
10.701 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 ky)))))) into 0
10.702 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
10.703 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.703 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
10.705 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
10.706 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
10.706 * [backup-simplify]: Simplify (+ 0 0) into 0
10.707 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
10.708 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.708 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
10.710 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
10.711 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
10.711 * [backup-simplify]: Simplify (+ 0 0) into 0
10.712 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 kx)))))) into 0
10.713 * [backup-simplify]: Simplify (+ 0 0) into 0
10.714 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
10.715 * [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
10.715 * [taylor]: Taking taylor expansion of 0 in kx
10.715 * [backup-simplify]: Simplify 0 into 0
10.715 * [backup-simplify]: Simplify 0 into 0
10.716 * [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))
10.716 * [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))))
10.716 * [approximate]: Taking taylor expansion of (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in (ky kx) around 0
10.716 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in kx
10.716 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
10.716 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
10.716 * [taylor]: Taking taylor expansion of -1 in kx
10.716 * [backup-simplify]: Simplify -1 into -1
10.716 * [taylor]: Taking taylor expansion of ky in kx
10.716 * [backup-simplify]: Simplify ky into ky
10.716 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
10.716 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
10.717 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
10.717 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in kx
10.717 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
10.717 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in kx
10.717 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in kx
10.717 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
10.717 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
10.717 * [taylor]: Taking taylor expansion of -1 in kx
10.717 * [backup-simplify]: Simplify -1 into -1
10.717 * [taylor]: Taking taylor expansion of ky in kx
10.717 * [backup-simplify]: Simplify ky into ky
10.717 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
10.717 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
10.717 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
10.717 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
10.717 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
10.717 * [taylor]: Taking taylor expansion of -1 in kx
10.717 * [backup-simplify]: Simplify -1 into -1
10.717 * [taylor]: Taking taylor expansion of ky in kx
10.717 * [backup-simplify]: Simplify ky into ky
10.717 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
10.717 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
10.718 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
10.718 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in kx
10.718 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
10.718 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
10.718 * [taylor]: Taking taylor expansion of -1 in kx
10.718 * [backup-simplify]: Simplify -1 into -1
10.718 * [taylor]: Taking taylor expansion of kx in kx
10.718 * [backup-simplify]: Simplify 0 into 0
10.718 * [backup-simplify]: Simplify 1 into 1
10.718 * [backup-simplify]: Simplify (/ -1 1) into -1
10.719 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
10.719 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
10.719 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
10.719 * [taylor]: Taking taylor expansion of -1 in kx
10.719 * [backup-simplify]: Simplify -1 into -1
10.719 * [taylor]: Taking taylor expansion of kx in kx
10.719 * [backup-simplify]: Simplify 0 into 0
10.719 * [backup-simplify]: Simplify 1 into 1
10.719 * [backup-simplify]: Simplify (/ -1 1) into -1
10.719 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
10.719 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
10.720 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
10.720 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
10.720 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
10.720 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
10.720 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
10.720 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
10.720 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
10.720 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
10.721 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
10.721 * [backup-simplify]: Simplify (+ 0) into 0
10.722 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
10.722 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
10.723 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.723 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
10.724 * [backup-simplify]: Simplify (+ 0 0) into 0
10.724 * [backup-simplify]: Simplify (+ 0) into 0
10.725 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
10.725 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
10.726 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.727 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
10.727 * [backup-simplify]: Simplify (+ 0 0) into 0
10.727 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
10.728 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
10.728 * [backup-simplify]: Simplify (+ 0 0) into 0
10.728 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
10.728 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
10.729 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
10.729 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
10.729 * [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)))
10.729 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in ky
10.729 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
10.729 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
10.729 * [taylor]: Taking taylor expansion of -1 in ky
10.729 * [backup-simplify]: Simplify -1 into -1
10.729 * [taylor]: Taking taylor expansion of ky in ky
10.729 * [backup-simplify]: Simplify 0 into 0
10.729 * [backup-simplify]: Simplify 1 into 1
10.730 * [backup-simplify]: Simplify (/ -1 1) into -1
10.730 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
10.730 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in ky
10.730 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
10.730 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in ky
10.730 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
10.730 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
10.730 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
10.730 * [taylor]: Taking taylor expansion of -1 in ky
10.730 * [backup-simplify]: Simplify -1 into -1
10.730 * [taylor]: Taking taylor expansion of ky in ky
10.730 * [backup-simplify]: Simplify 0 into 0
10.730 * [backup-simplify]: Simplify 1 into 1
10.731 * [backup-simplify]: Simplify (/ -1 1) into -1
10.731 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
10.731 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
10.731 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
10.731 * [taylor]: Taking taylor expansion of -1 in ky
10.731 * [backup-simplify]: Simplify -1 into -1
10.731 * [taylor]: Taking taylor expansion of ky in ky
10.731 * [backup-simplify]: Simplify 0 into 0
10.731 * [backup-simplify]: Simplify 1 into 1
10.731 * [backup-simplify]: Simplify (/ -1 1) into -1
10.731 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
10.731 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
10.731 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
10.731 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
10.731 * [taylor]: Taking taylor expansion of -1 in ky
10.731 * [backup-simplify]: Simplify -1 into -1
10.732 * [taylor]: Taking taylor expansion of kx in ky
10.732 * [backup-simplify]: Simplify kx into kx
10.732 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
10.732 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
10.732 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
10.732 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
10.732 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
10.732 * [taylor]: Taking taylor expansion of -1 in ky
10.732 * [backup-simplify]: Simplify -1 into -1
10.732 * [taylor]: Taking taylor expansion of kx in ky
10.732 * [backup-simplify]: Simplify kx into kx
10.732 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
10.732 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
10.732 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
10.732 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
10.732 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
10.732 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
10.733 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
10.733 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
10.733 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
10.733 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
10.733 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
10.733 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
10.733 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
10.734 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
10.734 * [backup-simplify]: Simplify (+ 0) into 0
10.735 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
10.735 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
10.736 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.736 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
10.737 * [backup-simplify]: Simplify (+ 0 0) into 0
10.737 * [backup-simplify]: Simplify (+ 0) into 0
10.738 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
10.738 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
10.739 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.739 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
10.739 * [backup-simplify]: Simplify (+ 0 0) into 0
10.740 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
10.740 * [backup-simplify]: Simplify (+ 0 0) into 0
10.740 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
10.741 * [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)))
10.741 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in ky
10.741 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
10.741 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
10.741 * [taylor]: Taking taylor expansion of -1 in ky
10.741 * [backup-simplify]: Simplify -1 into -1
10.741 * [taylor]: Taking taylor expansion of ky in ky
10.741 * [backup-simplify]: Simplify 0 into 0
10.741 * [backup-simplify]: Simplify 1 into 1
10.741 * [backup-simplify]: Simplify (/ -1 1) into -1
10.741 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
10.741 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in ky
10.741 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
10.741 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in ky
10.741 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
10.741 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
10.742 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
10.742 * [taylor]: Taking taylor expansion of -1 in ky
10.742 * [backup-simplify]: Simplify -1 into -1
10.742 * [taylor]: Taking taylor expansion of ky in ky
10.742 * [backup-simplify]: Simplify 0 into 0
10.742 * [backup-simplify]: Simplify 1 into 1
10.742 * [backup-simplify]: Simplify (/ -1 1) into -1
10.742 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
10.742 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
10.742 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
10.742 * [taylor]: Taking taylor expansion of -1 in ky
10.742 * [backup-simplify]: Simplify -1 into -1
10.742 * [taylor]: Taking taylor expansion of ky in ky
10.742 * [backup-simplify]: Simplify 0 into 0
10.742 * [backup-simplify]: Simplify 1 into 1
10.743 * [backup-simplify]: Simplify (/ -1 1) into -1
10.743 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
10.743 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
10.743 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
10.743 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
10.743 * [taylor]: Taking taylor expansion of -1 in ky
10.743 * [backup-simplify]: Simplify -1 into -1
10.743 * [taylor]: Taking taylor expansion of kx in ky
10.743 * [backup-simplify]: Simplify kx into kx
10.743 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
10.743 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
10.743 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
10.743 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
10.743 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
10.743 * [taylor]: Taking taylor expansion of -1 in ky
10.743 * [backup-simplify]: Simplify -1 into -1
10.743 * [taylor]: Taking taylor expansion of kx in ky
10.743 * [backup-simplify]: Simplify kx into kx
10.744 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
10.744 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
10.744 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
10.744 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
10.744 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
10.744 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
10.744 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
10.744 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
10.744 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
10.744 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
10.744 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
10.745 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
10.745 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
10.745 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
10.746 * [backup-simplify]: Simplify (+ 0) into 0
10.746 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
10.746 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
10.747 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.748 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
10.748 * [backup-simplify]: Simplify (+ 0 0) into 0
10.749 * [backup-simplify]: Simplify (+ 0) into 0
10.749 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
10.749 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
10.750 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.750 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
10.751 * [backup-simplify]: Simplify (+ 0 0) into 0
10.751 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
10.751 * [backup-simplify]: Simplify (+ 0 0) into 0
10.752 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
10.752 * [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)))
10.752 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) in kx
10.752 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in kx
10.752 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx
10.752 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx
10.752 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx
10.752 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
10.752 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
10.752 * [taylor]: Taking taylor expansion of -1 in kx
10.752 * [backup-simplify]: Simplify -1 into -1
10.752 * [taylor]: Taking taylor expansion of kx in kx
10.752 * [backup-simplify]: Simplify 0 into 0
10.752 * [backup-simplify]: Simplify 1 into 1
10.753 * [backup-simplify]: Simplify (/ -1 1) into -1
10.753 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
10.753 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx
10.753 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
10.753 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
10.753 * [taylor]: Taking taylor expansion of -1 in kx
10.753 * [backup-simplify]: Simplify -1 into -1
10.753 * [taylor]: Taking taylor expansion of ky in kx
10.753 * [backup-simplify]: Simplify ky into ky
10.753 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
10.753 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
10.753 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
10.753 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
10.754 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
10.754 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
10.754 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
10.754 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
10.754 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
10.754 * [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)))
10.755 * [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))))
10.755 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
10.755 * [backup-simplify]: Simplify (+ 0) into 0
10.756 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
10.756 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
10.757 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.757 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
10.758 * [backup-simplify]: Simplify (+ 0 0) into 0
10.758 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
10.758 * [backup-simplify]: Simplify (+ 0 0) into 0
10.759 * [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
10.759 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
10.759 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
10.759 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
10.759 * [taylor]: Taking taylor expansion of -1 in kx
10.759 * [backup-simplify]: Simplify -1 into -1
10.759 * [taylor]: Taking taylor expansion of ky in kx
10.759 * [backup-simplify]: Simplify ky into ky
10.760 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
10.760 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
10.760 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
10.760 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
10.760 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
10.760 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
10.760 * [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)))
10.761 * [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)))
10.762 * [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
10.762 * [taylor]: Taking taylor expansion of 0 in kx
10.762 * [backup-simplify]: Simplify 0 into 0
10.762 * [backup-simplify]: Simplify 0 into 0
10.763 * [backup-simplify]: Simplify (+ 0) into 0
10.763 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
10.763 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
10.766 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.767 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
10.767 * [backup-simplify]: Simplify (+ 0 0) into 0
10.768 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) 0) (* 0 (sin (/ -1 ky)))) into 0
10.768 * [backup-simplify]: Simplify 0 into 0
10.768 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
10.769 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.769 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
10.769 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
10.770 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.770 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
10.770 * [backup-simplify]: Simplify (+ 0 0) into 0
10.771 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.771 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
10.771 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
10.772 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.772 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
10.773 * [backup-simplify]: Simplify (+ 0 0) into 0
10.773 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
10.773 * [backup-simplify]: Simplify (+ 0 0) into 0
10.774 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
10.774 * [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
10.774 * [taylor]: Taking taylor expansion of 0 in kx
10.774 * [backup-simplify]: Simplify 0 into 0
10.774 * [backup-simplify]: Simplify 0 into 0
10.774 * [backup-simplify]: Simplify 0 into 0
10.775 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.775 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
10.775 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
10.776 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.776 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
10.777 * [backup-simplify]: Simplify (+ 0 0) into 0
10.777 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
10.778 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.778 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
10.778 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
10.779 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.779 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
10.779 * [backup-simplify]: Simplify (+ 0 0) into 0
10.780 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
10.780 * [backup-simplify]: Simplify (+ 0 0) into 0
10.780 * [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
10.781 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
10.781 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
10.781 * [backup-simplify]: Simplify 0 into 0
10.782 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 ky)))))) into 0
10.783 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
10.783 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.783 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
10.784 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
10.785 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
10.785 * [backup-simplify]: Simplify (+ 0 0) into 0
10.785 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
10.786 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.786 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
10.787 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
10.787 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
10.788 * [backup-simplify]: Simplify (+ 0 0) into 0
10.788 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 kx)))))) into 0
10.788 * [backup-simplify]: Simplify (+ 0 0) into 0
10.789 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
10.790 * [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
10.790 * [taylor]: Taking taylor expansion of 0 in kx
10.790 * [backup-simplify]: Simplify 0 into 0
10.790 * [backup-simplify]: Simplify 0 into 0
10.790 * [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))
10.790 * * * * [progress]: [ 2 / 4 ] generating series at (2)
10.790 * [backup-simplify]: Simplify (* (sin th) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))) into (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx)))
10.790 * [approximate]: Taking taylor expansion of (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))) in (th ky kx) around 0
10.790 * [taylor]: Taking taylor expansion of (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))) in kx
10.790 * [taylor]: Taking taylor expansion of (* (sin th) (sin ky)) in kx
10.790 * [taylor]: Taking taylor expansion of (sin th) in kx
10.790 * [taylor]: Taking taylor expansion of th in kx
10.790 * [backup-simplify]: Simplify th into th
10.791 * [backup-simplify]: Simplify (sin th) into (sin th)
10.791 * [backup-simplify]: Simplify (cos th) into (cos th)
10.791 * [taylor]: Taking taylor expansion of (sin ky) in kx
10.791 * [taylor]: Taking taylor expansion of ky in kx
10.791 * [backup-simplify]: Simplify ky into ky
10.791 * [backup-simplify]: Simplify (sin ky) into (sin ky)
10.791 * [backup-simplify]: Simplify (cos ky) into (cos ky)
10.791 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in kx
10.791 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
10.791 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in kx
10.791 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in kx
10.791 * [taylor]: Taking taylor expansion of (sin ky) in kx
10.791 * [taylor]: Taking taylor expansion of ky in kx
10.791 * [backup-simplify]: Simplify ky into ky
10.791 * [backup-simplify]: Simplify (sin ky) into (sin ky)
10.791 * [backup-simplify]: Simplify (cos ky) into (cos ky)
10.791 * [taylor]: Taking taylor expansion of (sin ky) in kx
10.791 * [taylor]: Taking taylor expansion of ky in kx
10.791 * [backup-simplify]: Simplify ky into ky
10.791 * [backup-simplify]: Simplify (sin ky) into (sin ky)
10.791 * [backup-simplify]: Simplify (cos ky) into (cos ky)
10.791 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in kx
10.791 * [taylor]: Taking taylor expansion of (sin kx) in kx
10.791 * [taylor]: Taking taylor expansion of kx in kx
10.791 * [backup-simplify]: Simplify 0 into 0
10.791 * [backup-simplify]: Simplify 1 into 1
10.791 * [taylor]: Taking taylor expansion of (sin kx) in kx
10.791 * [taylor]: Taking taylor expansion of kx in kx
10.791 * [backup-simplify]: Simplify 0 into 0
10.791 * [backup-simplify]: Simplify 1 into 1
10.791 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
10.791 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
10.791 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
10.791 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
10.791 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
10.791 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
10.791 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
10.792 * [backup-simplify]: Simplify (* 0 0) into 0
10.792 * [backup-simplify]: Simplify (+ (pow (sin ky) 2) 0) into (pow (sin ky) 2)
10.792 * [backup-simplify]: Simplify (sqrt (pow (sin ky) 2)) into (sin ky)
10.792 * [backup-simplify]: Simplify (+ 0) into 0
10.792 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
10.793 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.793 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
10.793 * [backup-simplify]: Simplify (+ 0 0) into 0
10.794 * [backup-simplify]: Simplify (+ 0) into 0
10.794 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
10.794 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.795 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
10.795 * [backup-simplify]: Simplify (+ 0 0) into 0
10.795 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
10.795 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
10.796 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
10.797 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
10.797 * [backup-simplify]: Simplify (+ 0 0) into 0
10.797 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin ky) 2)))) into 0
10.797 * [backup-simplify]: Simplify (* (sin th) 1) into (sin th)
10.797 * [backup-simplify]: Simplify (* (cos th) 0) into 0
10.798 * [backup-simplify]: Simplify (+ (sin th) 0) into (sin th)
10.798 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
10.798 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
10.798 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
10.798 * [backup-simplify]: Simplify (* (sin th) (sin ky)) into (* (sin th) (sin ky))
10.798 * [backup-simplify]: Simplify (/ (* (sin th) (sin ky)) (sin ky)) into (sin th)
10.798 * [taylor]: Taking taylor expansion of (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))) in ky
10.798 * [taylor]: Taking taylor expansion of (* (sin th) (sin ky)) in ky
10.798 * [taylor]: Taking taylor expansion of (sin th) in ky
10.798 * [taylor]: Taking taylor expansion of th in ky
10.798 * [backup-simplify]: Simplify th into th
10.798 * [backup-simplify]: Simplify (sin th) into (sin th)
10.798 * [backup-simplify]: Simplify (cos th) into (cos th)
10.798 * [taylor]: Taking taylor expansion of (sin ky) in ky
10.798 * [taylor]: Taking taylor expansion of ky in ky
10.798 * [backup-simplify]: Simplify 0 into 0
10.799 * [backup-simplify]: Simplify 1 into 1
10.799 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky
10.799 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
10.799 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky
10.799 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
10.799 * [taylor]: Taking taylor expansion of (sin ky) in ky
10.799 * [taylor]: Taking taylor expansion of ky in ky
10.799 * [backup-simplify]: Simplify 0 into 0
10.799 * [backup-simplify]: Simplify 1 into 1
10.799 * [taylor]: Taking taylor expansion of (sin ky) in ky
10.799 * [taylor]: Taking taylor expansion of ky in ky
10.799 * [backup-simplify]: Simplify 0 into 0
10.799 * [backup-simplify]: Simplify 1 into 1
10.799 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
10.799 * [taylor]: Taking taylor expansion of (sin kx) in ky
10.799 * [taylor]: Taking taylor expansion of kx in ky
10.799 * [backup-simplify]: Simplify kx into kx
10.799 * [backup-simplify]: Simplify (sin kx) into (sin kx)
10.799 * [backup-simplify]: Simplify (cos kx) into (cos kx)
10.799 * [taylor]: Taking taylor expansion of (sin kx) in ky
10.799 * [taylor]: Taking taylor expansion of kx in ky
10.799 * [backup-simplify]: Simplify kx into kx
10.799 * [backup-simplify]: Simplify (sin kx) into (sin kx)
10.799 * [backup-simplify]: Simplify (cos kx) into (cos kx)
10.800 * [backup-simplify]: Simplify (* 0 0) into 0
10.800 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
10.800 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
10.800 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
10.800 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
10.800 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
10.800 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
10.800 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
10.800 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
10.801 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
10.801 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
10.802 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
10.803 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
10.803 * [backup-simplify]: Simplify (+ 0) into 0
10.804 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
10.804 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.805 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
10.805 * [backup-simplify]: Simplify (+ 0 0) into 0
10.806 * [backup-simplify]: Simplify (+ 0) into 0
10.806 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
10.807 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.807 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
10.808 * [backup-simplify]: Simplify (+ 0 0) into 0
10.808 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
10.808 * [backup-simplify]: Simplify (+ 0 0) into 0
10.808 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
10.809 * [backup-simplify]: Simplify (* (sin th) 1) into (sin th)
10.809 * [backup-simplify]: Simplify (* (cos th) 0) into 0
10.809 * [backup-simplify]: Simplify (+ (sin th) 0) into (sin th)
10.809 * [backup-simplify]: Simplify (* (sin th) 0) into 0
10.809 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
10.810 * [backup-simplify]: Simplify (+ 0) into 0
10.810 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 1)) into 0
10.811 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.812 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 0)) into 0
10.812 * [backup-simplify]: Simplify (+ 0 0) into 0
10.812 * [backup-simplify]: Simplify (+ (* (sin th) 1) (* 0 0)) into (sin th)
10.813 * [backup-simplify]: Simplify (/ (sin th) (sin kx)) into (/ (sin th) (sin kx))
10.813 * [taylor]: Taking taylor expansion of (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))) in th
10.813 * [taylor]: Taking taylor expansion of (* (sin th) (sin ky)) in th
10.813 * [taylor]: Taking taylor expansion of (sin th) in th
10.813 * [taylor]: Taking taylor expansion of th in th
10.813 * [backup-simplify]: Simplify 0 into 0
10.813 * [backup-simplify]: Simplify 1 into 1
10.813 * [taylor]: Taking taylor expansion of (sin ky) in th
10.813 * [taylor]: Taking taylor expansion of ky in th
10.813 * [backup-simplify]: Simplify ky into ky
10.813 * [backup-simplify]: Simplify (sin ky) into (sin ky)
10.813 * [backup-simplify]: Simplify (cos ky) into (cos ky)
10.813 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in th
10.813 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
10.813 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in th
10.813 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in th
10.813 * [taylor]: Taking taylor expansion of (sin ky) in th
10.813 * [taylor]: Taking taylor expansion of ky in th
10.813 * [backup-simplify]: Simplify ky into ky
10.813 * [backup-simplify]: Simplify (sin ky) into (sin ky)
10.813 * [backup-simplify]: Simplify (cos ky) into (cos ky)
10.813 * [taylor]: Taking taylor expansion of (sin ky) in th
10.813 * [taylor]: Taking taylor expansion of ky in th
10.813 * [backup-simplify]: Simplify ky into ky
10.813 * [backup-simplify]: Simplify (sin ky) into (sin ky)
10.813 * [backup-simplify]: Simplify (cos ky) into (cos ky)
10.813 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in th
10.813 * [taylor]: Taking taylor expansion of (sin kx) in th
10.813 * [taylor]: Taking taylor expansion of kx in th
10.814 * [backup-simplify]: Simplify kx into kx
10.814 * [backup-simplify]: Simplify (sin kx) into (sin kx)
10.814 * [backup-simplify]: Simplify (cos kx) into (cos kx)
10.814 * [taylor]: Taking taylor expansion of (sin kx) in th
10.814 * [taylor]: Taking taylor expansion of kx in th
10.814 * [backup-simplify]: Simplify kx into kx
10.814 * [backup-simplify]: Simplify (sin kx) into (sin kx)
10.814 * [backup-simplify]: Simplify (cos kx) into (cos kx)
10.814 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
10.814 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
10.814 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
10.814 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
10.814 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
10.814 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
10.814 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
10.814 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
10.814 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
10.814 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
10.815 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
10.815 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
10.815 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
10.815 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
10.815 * [backup-simplify]: Simplify (+ (pow (sin ky) 2) (pow (sin kx) 2)) into (+ (pow (sin ky) 2) (pow (sin kx) 2))
10.815 * [backup-simplify]: Simplify (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) into (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))
10.816 * [backup-simplify]: Simplify (+ 0) into 0
10.816 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
10.817 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.818 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
10.818 * [backup-simplify]: Simplify (+ 0 0) into 0
10.819 * [backup-simplify]: Simplify (+ 0) into 0
10.819 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
10.820 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.821 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
10.821 * [backup-simplify]: Simplify (+ 0 0) into 0
10.821 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
10.822 * [backup-simplify]: Simplify (+ 0) into 0
10.822 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
10.823 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.824 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
10.824 * [backup-simplify]: Simplify (+ 0 0) into 0
10.825 * [backup-simplify]: Simplify (+ 0) into 0
10.825 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
10.826 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.826 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
10.827 * [backup-simplify]: Simplify (+ 0 0) into 0
10.827 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
10.827 * [backup-simplify]: Simplify (+ 0 0) into 0
10.828 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))) into 0
10.828 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
10.828 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
10.828 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
10.828 * [backup-simplify]: Simplify (* 0 (sin ky)) into 0
10.828 * [backup-simplify]: Simplify (+ 0) into 0
10.829 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
10.830 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.830 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
10.831 * [backup-simplify]: Simplify (+ 0 0) into 0
10.832 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
10.832 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin ky))) into (sin ky)
10.832 * [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))
10.832 * [taylor]: Taking taylor expansion of (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))) in th
10.832 * [taylor]: Taking taylor expansion of (* (sin th) (sin ky)) in th
10.832 * [taylor]: Taking taylor expansion of (sin th) in th
10.832 * [taylor]: Taking taylor expansion of th in th
10.832 * [backup-simplify]: Simplify 0 into 0
10.832 * [backup-simplify]: Simplify 1 into 1
10.832 * [taylor]: Taking taylor expansion of (sin ky) in th
10.832 * [taylor]: Taking taylor expansion of ky in th
10.832 * [backup-simplify]: Simplify ky into ky
10.832 * [backup-simplify]: Simplify (sin ky) into (sin ky)
10.832 * [backup-simplify]: Simplify (cos ky) into (cos ky)
10.832 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in th
10.832 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
10.832 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in th
10.832 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in th
10.832 * [taylor]: Taking taylor expansion of (sin ky) in th
10.832 * [taylor]: Taking taylor expansion of ky in th
10.832 * [backup-simplify]: Simplify ky into ky
10.832 * [backup-simplify]: Simplify (sin ky) into (sin ky)
10.832 * [backup-simplify]: Simplify (cos ky) into (cos ky)
10.833 * [taylor]: Taking taylor expansion of (sin ky) in th
10.833 * [taylor]: Taking taylor expansion of ky in th
10.833 * [backup-simplify]: Simplify ky into ky
10.833 * [backup-simplify]: Simplify (sin ky) into (sin ky)
10.833 * [backup-simplify]: Simplify (cos ky) into (cos ky)
10.833 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in th
10.833 * [taylor]: Taking taylor expansion of (sin kx) in th
10.833 * [taylor]: Taking taylor expansion of kx in th
10.833 * [backup-simplify]: Simplify kx into kx
10.833 * [backup-simplify]: Simplify (sin kx) into (sin kx)
10.833 * [backup-simplify]: Simplify (cos kx) into (cos kx)
10.833 * [taylor]: Taking taylor expansion of (sin kx) in th
10.833 * [taylor]: Taking taylor expansion of kx in th
10.833 * [backup-simplify]: Simplify kx into kx
10.833 * [backup-simplify]: Simplify (sin kx) into (sin kx)
10.833 * [backup-simplify]: Simplify (cos kx) into (cos kx)
10.833 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
10.833 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
10.833 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
10.833 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
10.833 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
10.833 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
10.833 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
10.833 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
10.833 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
10.833 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
10.833 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
10.833 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
10.833 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
10.833 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
10.834 * [backup-simplify]: Simplify (+ (pow (sin ky) 2) (pow (sin kx) 2)) into (+ (pow (sin ky) 2) (pow (sin kx) 2))
10.834 * [backup-simplify]: Simplify (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) into (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))
10.834 * [backup-simplify]: Simplify (+ 0) into 0
10.834 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
10.835 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.835 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
10.835 * [backup-simplify]: Simplify (+ 0 0) into 0
10.836 * [backup-simplify]: Simplify (+ 0) into 0
10.836 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
10.836 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.837 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
10.837 * [backup-simplify]: Simplify (+ 0 0) into 0
10.837 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
10.837 * [backup-simplify]: Simplify (+ 0) into 0
10.838 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
10.838 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.838 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
10.839 * [backup-simplify]: Simplify (+ 0 0) into 0
10.839 * [backup-simplify]: Simplify (+ 0) into 0
10.839 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
10.840 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.840 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
10.840 * [backup-simplify]: Simplify (+ 0 0) into 0
10.840 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
10.841 * [backup-simplify]: Simplify (+ 0 0) into 0
10.841 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))) into 0
10.841 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
10.841 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
10.841 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
10.841 * [backup-simplify]: Simplify (* 0 (sin ky)) into 0
10.841 * [backup-simplify]: Simplify (+ 0) into 0
10.841 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
10.842 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.842 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
10.842 * [backup-simplify]: Simplify (+ 0 0) into 0
10.843 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
10.843 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin ky))) into (sin ky)
10.843 * [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))
10.843 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)) in ky
10.843 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) in ky
10.843 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2))) in ky
10.843 * [taylor]: Taking taylor expansion of (+ (pow (sin ky) 2) (pow (sin kx) 2)) in ky
10.843 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in ky
10.843 * [taylor]: Taking taylor expansion of (sin ky) in ky
10.844 * [taylor]: Taking taylor expansion of ky in ky
10.844 * [backup-simplify]: Simplify 0 into 0
10.844 * [backup-simplify]: Simplify 1 into 1
10.844 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
10.844 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in ky
10.844 * [taylor]: Taking taylor expansion of (sin kx) in ky
10.844 * [taylor]: Taking taylor expansion of kx in ky
10.844 * [backup-simplify]: Simplify kx into kx
10.844 * [backup-simplify]: Simplify (sin kx) into (sin kx)
10.844 * [backup-simplify]: Simplify (cos kx) into (cos kx)
10.844 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
10.844 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
10.844 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
10.844 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
10.844 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
10.844 * [backup-simplify]: Simplify (/ 1 (pow (sin kx) 2)) into (/ 1 (pow (sin kx) 2))
10.845 * [backup-simplify]: Simplify (sqrt (/ 1 (pow (sin kx) 2))) into (/ 1 (sin kx))
10.845 * [backup-simplify]: Simplify (+ 0) into 0
10.845 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
10.846 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.846 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
10.846 * [backup-simplify]: Simplify (+ 0 0) into 0
10.846 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
10.846 * [backup-simplify]: Simplify (+ 0 0) into 0
10.847 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sin kx) 2)) (/ 0 (pow (sin kx) 2))))) into 0
10.847 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow (sin kx) 2))))) into 0
10.847 * [taylor]: Taking taylor expansion of (sin ky) in ky
10.847 * [taylor]: Taking taylor expansion of ky in ky
10.847 * [backup-simplify]: Simplify 0 into 0
10.847 * [backup-simplify]: Simplify 1 into 1
10.847 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
10.847 * [backup-simplify]: Simplify (+ (* (/ 1 (sin kx)) 1) (* 0 0)) into (/ 1 (sin kx))
10.847 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx
10.847 * [taylor]: Taking taylor expansion of (sin kx) in kx
10.848 * [taylor]: Taking taylor expansion of kx in kx
10.848 * [backup-simplify]: Simplify 0 into 0
10.848 * [backup-simplify]: Simplify 1 into 1
10.848 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
10.848 * [backup-simplify]: Simplify (/ 1 1) into 1
10.849 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.849 * [backup-simplify]: Simplify 0 into 0
10.850 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.850 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 1))) into 0
10.851 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.851 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (* 0 0))) into 0
10.851 * [backup-simplify]: Simplify (+ 0 0) into 0
10.852 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.852 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin ky)))) into 0
10.853 * [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
10.853 * [taylor]: Taking taylor expansion of 0 in ky
10.853 * [backup-simplify]: Simplify 0 into 0
10.853 * [taylor]: Taking taylor expansion of 0 in kx
10.853 * [backup-simplify]: Simplify 0 into 0
10.853 * [backup-simplify]: Simplify 0 into 0
10.853 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.854 * [backup-simplify]: Simplify (* 1 1) into 1
10.854 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.855 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
10.855 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.855 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
10.856 * [backup-simplify]: Simplify (+ 0 0) into 0
10.856 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 (sin kx)))) into 0
10.856 * [backup-simplify]: Simplify (+ 1 0) into 1
10.856 * [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)))
10.857 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow (sin kx) 4))) (pow 0 2) (+)) (* 2 (/ 1 (sin kx)))) into (/ -1/2 (pow (sin kx) 3))
10.857 * [backup-simplify]: Simplify (+ (* (/ 1 (sin kx)) 0) (+ (* 0 1) (* (/ -1/2 (pow (sin kx) 3)) 0))) into 0
10.857 * [taylor]: Taking taylor expansion of 0 in kx
10.857 * [backup-simplify]: Simplify 0 into 0
10.858 * [backup-simplify]: Simplify 0 into 0
10.858 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
10.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/6
10.859 * [backup-simplify]: Simplify 1/6 into 1/6
10.860 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
10.860 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.861 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
10.862 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
10.862 * [backup-simplify]: Simplify (+ 0 0) into 0
10.863 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
10.864 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin ky))))) into (- (* 1/6 (sin ky)))
10.864 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.865 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 1))) into 0
10.866 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.867 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (* 0 0))) into 0
10.867 * [backup-simplify]: Simplify (+ 0 0) into 0
10.868 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.869 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 1))) into 0
10.870 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.870 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (* 0 0))) into 0
10.871 * [backup-simplify]: Simplify (+ 0 0) into 0
10.871 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 (sin ky)))) into 0
10.872 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.873 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
10.874 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.874 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
10.875 * [backup-simplify]: Simplify (+ 0 0) into 0
10.876 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.876 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
10.877 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.878 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
10.880 * [backup-simplify]: Simplify (+ 0 0) into 0
10.881 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 (sin kx)))) into 0
10.881 * [backup-simplify]: Simplify (+ 0 0) into 0
10.882 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))) into 0
10.883 * [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))))
10.883 * [taylor]: Taking taylor expansion of (- (* 1/6 (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)))) in ky
10.883 * [taylor]: Taking taylor expansion of (* 1/6 (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))) in ky
10.883 * [taylor]: Taking taylor expansion of 1/6 in ky
10.883 * [backup-simplify]: Simplify 1/6 into 1/6
10.883 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)) in ky
10.883 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) in ky
10.883 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2))) in ky
10.883 * [taylor]: Taking taylor expansion of (+ (pow (sin ky) 2) (pow (sin kx) 2)) in ky
10.883 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in ky
10.883 * [taylor]: Taking taylor expansion of (sin ky) in ky
10.883 * [taylor]: Taking taylor expansion of ky in ky
10.883 * [backup-simplify]: Simplify 0 into 0
10.883 * [backup-simplify]: Simplify 1 into 1
10.884 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
10.884 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in ky
10.884 * [taylor]: Taking taylor expansion of (sin kx) in ky
10.884 * [taylor]: Taking taylor expansion of kx in ky
10.884 * [backup-simplify]: Simplify kx into kx
10.885 * [backup-simplify]: Simplify (sin kx) into (sin kx)
10.885 * [backup-simplify]: Simplify (cos kx) into (cos kx)
10.885 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
10.885 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
10.885 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
10.885 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
10.885 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
10.885 * [backup-simplify]: Simplify (/ 1 (pow (sin kx) 2)) into (/ 1 (pow (sin kx) 2))
10.885 * [backup-simplify]: Simplify (sqrt (/ 1 (pow (sin kx) 2))) into (/ 1 (sin kx))
10.886 * [backup-simplify]: Simplify (+ 0) into 0
10.887 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
10.887 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.888 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
10.889 * [backup-simplify]: Simplify (+ 0 0) into 0
10.889 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
10.889 * [backup-simplify]: Simplify (+ 0 0) into 0
10.890 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sin kx) 2)) (/ 0 (pow (sin kx) 2))))) into 0
10.890 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow (sin kx) 2))))) into 0
10.890 * [taylor]: Taking taylor expansion of (sin ky) in ky
10.890 * [taylor]: Taking taylor expansion of ky in ky
10.890 * [backup-simplify]: Simplify 0 into 0
10.890 * [backup-simplify]: Simplify 1 into 1
10.891 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
10.892 * [backup-simplify]: Simplify (+ (* (/ 1 (sin kx)) 1) (* 0 0)) into (/ 1 (sin kx))
10.892 * [backup-simplify]: Simplify (* (/ 1 (sin kx)) 0) into 0
10.892 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1 (sin kx))) (* 0 0)) into (* 1/6 (/ 1 (sin kx)))
10.892 * [backup-simplify]: Simplify (- (* 1/6 (/ 1 (sin kx)))) into (- (* 1/6 (/ 1 (sin kx))))
10.892 * [taylor]: Taking taylor expansion of (- (* 1/6 (/ 1 (sin kx)))) in kx
10.892 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (sin kx))) in kx
10.892 * [taylor]: Taking taylor expansion of 1/6 in kx
10.892 * [backup-simplify]: Simplify 1/6 into 1/6
10.892 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx
10.892 * [taylor]: Taking taylor expansion of (sin kx) in kx
10.892 * [taylor]: Taking taylor expansion of kx in kx
10.892 * [backup-simplify]: Simplify 0 into 0
10.892 * [backup-simplify]: Simplify 1 into 1
10.893 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
10.893 * [backup-simplify]: Simplify (/ 1 1) into 1
10.894 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.895 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 1)) into 0
10.895 * [backup-simplify]: Simplify (- 0) into 0
10.895 * [backup-simplify]: Simplify 0 into 0
10.895 * [taylor]: Taking taylor expansion of 0 in kx
10.895 * [backup-simplify]: Simplify 0 into 0
10.895 * [backup-simplify]: Simplify 0 into 0
10.896 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
10.896 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.897 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.897 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
10.898 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.899 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
10.900 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
10.900 * [backup-simplify]: Simplify (+ 0 0) into 0
10.900 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin kx))))) into 0
10.901 * [backup-simplify]: Simplify (+ 0 0) into 0
10.901 * [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
10.901 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow (sin kx) 3)))))) (* 2 (/ 1 (sin kx)))) into 0
10.902 * [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)))))
10.902 * [taylor]: Taking taylor expansion of (- (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))) in kx
10.902 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))) in kx
10.902 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (sin kx))) in kx
10.902 * [taylor]: Taking taylor expansion of 1/6 in kx
10.902 * [backup-simplify]: Simplify 1/6 into 1/6
10.902 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx
10.902 * [taylor]: Taking taylor expansion of (sin kx) in kx
10.902 * [taylor]: Taking taylor expansion of kx in kx
10.902 * [backup-simplify]: Simplify 0 into 0
10.902 * [backup-simplify]: Simplify 1 into 1
10.903 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
10.903 * [backup-simplify]: Simplify (/ 1 1) into 1
10.903 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow (sin kx) 3))) in kx
10.903 * [taylor]: Taking taylor expansion of 1/2 in kx
10.903 * [backup-simplify]: Simplify 1/2 into 1/2
10.903 * [taylor]: Taking taylor expansion of (/ 1 (pow (sin kx) 3)) in kx
10.903 * [taylor]: Taking taylor expansion of (pow (sin kx) 3) in kx
10.903 * [taylor]: Taking taylor expansion of (sin kx) in kx
10.903 * [taylor]: Taking taylor expansion of kx in kx
10.903 * [backup-simplify]: Simplify 0 into 0
10.903 * [backup-simplify]: Simplify 1 into 1
10.903 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
10.904 * [backup-simplify]: Simplify (* 1 1) into 1
10.904 * [backup-simplify]: Simplify (* 1 1) into 1
10.904 * [backup-simplify]: Simplify (/ 1 1) into 1
10.905 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.906 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 1)) into 0
10.906 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
10.907 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.908 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
10.909 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0
10.909 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3
10.910 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.911 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/3) (+ (* -1/6 0) (* 0 1)))) into 0
10.911 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.912 * [backup-simplify]: Simplify (+ (* 1 -1/3) (+ (* 0 0) (* -1/6 1))) into -1/2
10.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/2 1)) (* 0 (/ 0 1)))) into 1/2
10.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/2 1)) (* 1/2 (/ 0 1)))) into 0
10.914 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1/2) (+ (* 0 0) (* 0 1)))) into 0
10.915 * [backup-simplify]: Simplify (+ 0 0) into 0
10.915 * [backup-simplify]: Simplify (- 0) into 0
10.915 * [backup-simplify]: Simplify 0 into 0
10.915 * [backup-simplify]: Simplify 0 into 0
10.915 * [backup-simplify]: Simplify 0 into 0
10.916 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
10.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/6 1)) (* 1/6 (/ 0 1)))) into 0
10.917 * [backup-simplify]: Simplify 0 into 0
10.917 * [backup-simplify]: Simplify (* 1/6 (* kx (* ky th))) into (* 1/6 (* kx (* ky th)))
10.917 * [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))))
10.917 * [approximate]: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in (th ky kx) around 0
10.917 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in kx
10.917 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in kx
10.917 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in kx
10.917 * [taylor]: Taking taylor expansion of (/ 1 th) in kx
10.917 * [taylor]: Taking taylor expansion of th in kx
10.917 * [backup-simplify]: Simplify th into th
10.917 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
10.917 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
10.917 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
10.917 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
10.917 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
10.917 * [taylor]: Taking taylor expansion of ky in kx
10.917 * [backup-simplify]: Simplify ky into ky
10.917 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
10.918 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
10.918 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
10.918 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in kx
10.918 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
10.918 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in kx
10.918 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in kx
10.918 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
10.918 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
10.918 * [taylor]: Taking taylor expansion of ky in kx
10.918 * [backup-simplify]: Simplify ky into ky
10.918 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
10.918 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
10.918 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
10.918 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
10.918 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
10.918 * [taylor]: Taking taylor expansion of ky in kx
10.918 * [backup-simplify]: Simplify ky into ky
10.918 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
10.918 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
10.918 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
10.918 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in kx
10.918 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
10.918 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
10.918 * [taylor]: Taking taylor expansion of kx in kx
10.918 * [backup-simplify]: Simplify 0 into 0
10.918 * [backup-simplify]: Simplify 1 into 1
10.918 * [backup-simplify]: Simplify (/ 1 1) into 1
10.918 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
10.919 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
10.919 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
10.919 * [taylor]: Taking taylor expansion of kx in kx
10.919 * [backup-simplify]: Simplify 0 into 0
10.919 * [backup-simplify]: Simplify 1 into 1
10.919 * [backup-simplify]: Simplify (/ 1 1) into 1
10.919 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
10.919 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
10.919 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
10.919 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
10.919 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
10.919 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
10.919 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
10.919 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
10.919 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
10.920 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
10.920 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
10.920 * [backup-simplify]: Simplify (+ 0) into 0
10.920 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
10.920 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
10.921 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.921 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
10.921 * [backup-simplify]: Simplify (+ 0 0) into 0
10.922 * [backup-simplify]: Simplify (+ 0) into 0
10.922 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
10.922 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
10.923 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.923 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
10.923 * [backup-simplify]: Simplify (+ 0 0) into 0
10.924 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
10.924 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
10.924 * [backup-simplify]: Simplify (+ 0 0) into 0
10.924 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
10.924 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
10.924 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
10.924 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
10.924 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
10.924 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
10.924 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
10.925 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
10.925 * [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)))))
10.925 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in ky
10.925 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in ky
10.925 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in ky
10.925 * [taylor]: Taking taylor expansion of (/ 1 th) in ky
10.925 * [taylor]: Taking taylor expansion of th in ky
10.925 * [backup-simplify]: Simplify th into th
10.925 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
10.925 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
10.925 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
10.925 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
10.925 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
10.925 * [taylor]: Taking taylor expansion of ky in ky
10.925 * [backup-simplify]: Simplify 0 into 0
10.925 * [backup-simplify]: Simplify 1 into 1
10.925 * [backup-simplify]: Simplify (/ 1 1) into 1
10.925 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
10.925 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky
10.925 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
10.925 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky
10.925 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
10.926 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
10.926 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
10.926 * [taylor]: Taking taylor expansion of ky in ky
10.926 * [backup-simplify]: Simplify 0 into 0
10.926 * [backup-simplify]: Simplify 1 into 1
10.926 * [backup-simplify]: Simplify (/ 1 1) into 1
10.926 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
10.926 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
10.926 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
10.926 * [taylor]: Taking taylor expansion of ky in ky
10.926 * [backup-simplify]: Simplify 0 into 0
10.926 * [backup-simplify]: Simplify 1 into 1
10.926 * [backup-simplify]: Simplify (/ 1 1) into 1
10.926 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
10.926 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
10.926 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
10.926 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
10.926 * [taylor]: Taking taylor expansion of kx in ky
10.926 * [backup-simplify]: Simplify kx into kx
10.926 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
10.926 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
10.926 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
10.926 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
10.927 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
10.927 * [taylor]: Taking taylor expansion of kx in ky
10.927 * [backup-simplify]: Simplify kx into kx
10.927 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
10.927 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
10.927 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
10.927 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
10.927 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
10.927 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
10.927 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
10.927 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
10.927 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
10.927 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
10.927 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
10.927 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
10.927 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
10.927 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
10.928 * [backup-simplify]: Simplify (+ 0) into 0
10.928 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
10.928 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
10.929 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.929 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
10.929 * [backup-simplify]: Simplify (+ 0 0) into 0
10.930 * [backup-simplify]: Simplify (+ 0) into 0
10.930 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
10.930 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
10.930 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.931 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
10.931 * [backup-simplify]: Simplify (+ 0 0) into 0
10.931 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
10.931 * [backup-simplify]: Simplify (+ 0 0) into 0
10.932 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
10.932 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
10.932 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
10.932 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
10.932 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
10.932 * [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)))))
10.932 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in th
10.932 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in th
10.932 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in th
10.932 * [taylor]: Taking taylor expansion of (/ 1 th) in th
10.933 * [taylor]: Taking taylor expansion of th in th
10.933 * [backup-simplify]: Simplify 0 into 0
10.933 * [backup-simplify]: Simplify 1 into 1
10.933 * [backup-simplify]: Simplify (/ 1 1) into 1
10.933 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
10.933 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
10.933 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
10.933 * [taylor]: Taking taylor expansion of ky in th
10.933 * [backup-simplify]: Simplify ky into ky
10.933 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
10.933 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
10.933 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
10.933 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in th
10.934 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
10.934 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in th
10.934 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in th
10.934 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
10.934 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
10.934 * [taylor]: Taking taylor expansion of ky in th
10.934 * [backup-simplify]: Simplify ky into ky
10.934 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
10.934 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
10.934 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
10.934 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
10.934 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
10.934 * [taylor]: Taking taylor expansion of ky in th
10.934 * [backup-simplify]: Simplify ky into ky
10.934 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
10.934 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
10.934 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
10.934 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in th
10.934 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in th
10.934 * [taylor]: Taking taylor expansion of (/ 1 kx) in th
10.934 * [taylor]: Taking taylor expansion of kx in th
10.934 * [backup-simplify]: Simplify kx into kx
10.934 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
10.935 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
10.935 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
10.935 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in th
10.935 * [taylor]: Taking taylor expansion of (/ 1 kx) in th
10.935 * [taylor]: Taking taylor expansion of kx in th
10.935 * [backup-simplify]: Simplify kx into kx
10.935 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
10.935 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
10.935 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
10.935 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
10.935 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
10.935 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
10.935 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
10.935 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
10.936 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
10.936 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
10.936 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
10.936 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
10.936 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
10.936 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
10.936 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
10.936 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
10.936 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
10.937 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
10.937 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
10.938 * [backup-simplify]: Simplify (+ 0) into 0
10.938 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
10.938 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
10.939 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.940 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
10.940 * [backup-simplify]: Simplify (+ 0 0) into 0
10.940 * [backup-simplify]: Simplify (+ 0) into 0
10.941 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
10.941 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
10.942 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.942 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
10.943 * [backup-simplify]: Simplify (+ 0 0) into 0
10.943 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
10.943 * [backup-simplify]: Simplify (+ 0) into 0
10.944 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
10.944 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
10.945 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.945 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
10.946 * [backup-simplify]: Simplify (+ 0 0) into 0
10.946 * [backup-simplify]: Simplify (+ 0) into 0
10.947 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
10.947 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
10.948 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.948 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
10.949 * [backup-simplify]: Simplify (+ 0 0) into 0
10.949 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
10.949 * [backup-simplify]: Simplify (+ 0 0) into 0
10.950 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
10.950 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
10.950 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
10.950 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
10.950 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
10.950 * [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)))))
10.951 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in th
10.951 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in th
10.951 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in th
10.951 * [taylor]: Taking taylor expansion of (/ 1 th) in th
10.951 * [taylor]: Taking taylor expansion of th in th
10.951 * [backup-simplify]: Simplify 0 into 0
10.951 * [backup-simplify]: Simplify 1 into 1
10.951 * [backup-simplify]: Simplify (/ 1 1) into 1
10.951 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
10.951 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
10.951 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
10.951 * [taylor]: Taking taylor expansion of ky in th
10.951 * [backup-simplify]: Simplify ky into ky
10.951 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
10.952 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
10.952 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
10.952 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in th
10.952 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
10.952 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in th
10.952 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in th
10.952 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
10.952 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
10.952 * [taylor]: Taking taylor expansion of ky in th
10.952 * [backup-simplify]: Simplify ky into ky
10.952 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
10.952 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
10.952 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
10.952 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
10.952 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
10.952 * [taylor]: Taking taylor expansion of ky in th
10.952 * [backup-simplify]: Simplify ky into ky
10.952 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
10.952 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
10.952 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
10.953 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in th
10.953 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in th
10.953 * [taylor]: Taking taylor expansion of (/ 1 kx) in th
10.953 * [taylor]: Taking taylor expansion of kx in th
10.953 * [backup-simplify]: Simplify kx into kx
10.953 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
10.953 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
10.953 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
10.953 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in th
10.953 * [taylor]: Taking taylor expansion of (/ 1 kx) in th
10.953 * [taylor]: Taking taylor expansion of kx in th
10.953 * [backup-simplify]: Simplify kx into kx
10.953 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
10.953 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
10.953 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
10.953 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
10.953 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
10.953 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
10.954 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
10.954 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
10.954 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
10.954 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
10.954 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
10.954 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
10.954 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
10.954 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
10.954 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
10.955 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
10.955 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
10.955 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
10.955 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
10.956 * [backup-simplify]: Simplify (+ 0) into 0
10.956 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
10.957 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
10.957 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.958 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
10.958 * [backup-simplify]: Simplify (+ 0 0) into 0
10.959 * [backup-simplify]: Simplify (+ 0) into 0
10.959 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
10.959 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
10.960 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.961 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
10.961 * [backup-simplify]: Simplify (+ 0 0) into 0
10.961 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
10.962 * [backup-simplify]: Simplify (+ 0) into 0
10.962 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
10.962 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
10.963 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.964 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
10.964 * [backup-simplify]: Simplify (+ 0 0) into 0
10.964 * [backup-simplify]: Simplify (+ 0) into 0
10.965 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
10.965 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
10.965 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.965 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
10.966 * [backup-simplify]: Simplify (+ 0 0) into 0
10.966 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
10.966 * [backup-simplify]: Simplify (+ 0 0) into 0
10.966 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
10.966 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
10.967 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
10.967 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
10.967 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
10.967 * [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)))))
10.967 * [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
10.967 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in ky
10.967 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in ky
10.967 * [taylor]: Taking taylor expansion of (/ 1 th) in ky
10.967 * [taylor]: Taking taylor expansion of th in ky
10.967 * [backup-simplify]: Simplify th into th
10.967 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
10.967 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
10.967 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
10.967 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
10.967 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
10.967 * [taylor]: Taking taylor expansion of ky in ky
10.967 * [backup-simplify]: Simplify 0 into 0
10.967 * [backup-simplify]: Simplify 1 into 1
10.968 * [backup-simplify]: Simplify (/ 1 1) into 1
10.968 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
10.968 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in ky
10.968 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in ky
10.968 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in ky
10.968 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in ky
10.968 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
10.968 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
10.968 * [taylor]: Taking taylor expansion of kx in ky
10.968 * [backup-simplify]: Simplify kx into kx
10.968 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
10.968 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
10.968 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
10.968 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
10.968 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
10.968 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
10.968 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in ky
10.968 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
10.968 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
10.968 * [taylor]: Taking taylor expansion of ky in ky
10.968 * [backup-simplify]: Simplify 0 into 0
10.968 * [backup-simplify]: Simplify 1 into 1
10.969 * [backup-simplify]: Simplify (/ 1 1) into 1
10.969 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
10.969 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
10.969 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
10.969 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
10.969 * [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)))
10.969 * [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))))
10.969 * [backup-simplify]: Simplify (+ 0) into 0
10.970 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
10.970 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
10.970 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.971 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
10.971 * [backup-simplify]: Simplify (+ 0 0) into 0
10.971 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
10.971 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
10.971 * [backup-simplify]: Simplify (+ 0 0) into 0
10.972 * [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
10.972 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
10.972 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
10.972 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
10.972 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
10.972 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
10.972 * [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)))))
10.972 * [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
10.972 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in kx
10.972 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in kx
10.972 * [taylor]: Taking taylor expansion of (/ 1 th) in kx
10.972 * [taylor]: Taking taylor expansion of th in kx
10.972 * [backup-simplify]: Simplify th into th
10.972 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
10.973 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
10.973 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
10.973 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
10.973 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
10.973 * [taylor]: Taking taylor expansion of ky in kx
10.973 * [backup-simplify]: Simplify ky into ky
10.973 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
10.973 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
10.973 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
10.973 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in kx
10.973 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx
10.973 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx
10.973 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx
10.973 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
10.973 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
10.973 * [taylor]: Taking taylor expansion of kx in kx
10.973 * [backup-simplify]: Simplify 0 into 0
10.973 * [backup-simplify]: Simplify 1 into 1
10.973 * [backup-simplify]: Simplify (/ 1 1) into 1
10.974 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
10.974 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx
10.974 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
10.974 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
10.974 * [taylor]: Taking taylor expansion of ky in kx
10.974 * [backup-simplify]: Simplify ky into ky
10.974 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
10.974 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
10.974 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
10.974 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
10.974 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
10.974 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
10.974 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
10.974 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
10.974 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
10.974 * [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)))
10.975 * [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))))
10.975 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
10.975 * [backup-simplify]: Simplify (+ 0) into 0
10.975 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
10.976 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
10.976 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.976 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
10.977 * [backup-simplify]: Simplify (+ 0 0) into 0
10.977 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
10.977 * [backup-simplify]: Simplify (+ 0 0) into 0
10.977 * [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)))))) into 0
10.977 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
10.978 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
10.978 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
10.978 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
10.978 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
10.978 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
10.978 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
10.978 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
10.978 * [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)))))
10.978 * [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)))))
10.979 * [backup-simplify]: Simplify (+ 0) into 0
10.979 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
10.979 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
10.980 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.980 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
10.981 * [backup-simplify]: Simplify (+ 0 0) into 0
10.981 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 (sin (/ 1 ky)))) into 0
10.981 * [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
10.981 * [taylor]: Taking taylor expansion of 0 in ky
10.981 * [backup-simplify]: Simplify 0 into 0
10.981 * [taylor]: Taking taylor expansion of 0 in kx
10.981 * [backup-simplify]: Simplify 0 into 0
10.981 * [backup-simplify]: Simplify 0 into 0
10.982 * [backup-simplify]: Simplify (+ 0) into 0
10.982 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 1)) into 0
10.982 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
10.983 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.983 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 0)) into 0
10.983 * [backup-simplify]: Simplify (+ 0 0) into 0
10.983 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 (sin (/ 1 ky)))) into 0
10.984 * [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
10.984 * [taylor]: Taking taylor expansion of 0 in kx
10.984 * [backup-simplify]: Simplify 0 into 0
10.984 * [backup-simplify]: Simplify 0 into 0
10.984 * [backup-simplify]: Simplify (+ 0) into 0
10.984 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
10.984 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
10.985 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.985 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
10.985 * [backup-simplify]: Simplify (+ 0 0) into 0
10.986 * [backup-simplify]: Simplify (+ 0) into 0
10.986 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 1)) into 0
10.986 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
10.987 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.987 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 0)) into 0
10.987 * [backup-simplify]: Simplify (+ 0 0) into 0
10.987 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 (sin (/ 1 ky)))) into 0
10.987 * [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
10.987 * [backup-simplify]: Simplify 0 into 0
10.988 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.988 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
10.989 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
10.989 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.989 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
10.990 * [backup-simplify]: Simplify (+ 0 0) into 0
10.990 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
10.991 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.991 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
10.991 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
10.992 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.992 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
10.993 * [backup-simplify]: Simplify (+ 0 0) into 0
10.994 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.994 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
10.995 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
10.996 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.996 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
10.997 * [backup-simplify]: Simplify (+ 0 0) into 0
10.997 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
10.998 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.999 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
10.999 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
11.000 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.001 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
11.001 * [backup-simplify]: Simplify (+ 0 0) into 0
11.002 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.005 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
11.005 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
11.006 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.007 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
11.007 * [backup-simplify]: Simplify (+ 0 0) into 0
11.008 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
11.008 * [backup-simplify]: Simplify (+ 0 0) into 0
11.009 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
11.011 * [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
11.011 * [taylor]: Taking taylor expansion of 0 in ky
11.011 * [backup-simplify]: Simplify 0 into 0
11.011 * [taylor]: Taking taylor expansion of 0 in kx
11.011 * [backup-simplify]: Simplify 0 into 0
11.011 * [backup-simplify]: Simplify 0 into 0
11.011 * [taylor]: Taking taylor expansion of 0 in kx
11.011 * [backup-simplify]: Simplify 0 into 0
11.011 * [backup-simplify]: Simplify 0 into 0
11.012 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.013 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
11.013 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
11.014 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.014 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
11.015 * [backup-simplify]: Simplify (+ 0 0) into 0
11.015 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
11.016 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
11.016 * [backup-simplify]: Simplify (+ 0 0) into 0
11.017 * [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
11.019 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
11.020 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.020 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
11.021 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
11.021 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.022 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
11.022 * [backup-simplify]: Simplify (+ 0 0) into 0
11.023 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
11.024 * [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
11.024 * [taylor]: Taking taylor expansion of 0 in kx
11.024 * [backup-simplify]: Simplify 0 into 0
11.024 * [backup-simplify]: Simplify 0 into 0
11.024 * [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)))
11.025 * [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))))
11.025 * [approximate]: Taking taylor expansion of (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in (th ky kx) around 0
11.025 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in kx
11.025 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in kx
11.025 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in kx
11.025 * [taylor]: Taking taylor expansion of (/ -1 th) in kx
11.025 * [taylor]: Taking taylor expansion of -1 in kx
11.025 * [backup-simplify]: Simplify -1 into -1
11.025 * [taylor]: Taking taylor expansion of th in kx
11.025 * [backup-simplify]: Simplify th into th
11.025 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
11.025 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
11.025 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
11.025 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
11.025 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
11.025 * [taylor]: Taking taylor expansion of -1 in kx
11.025 * [backup-simplify]: Simplify -1 into -1
11.025 * [taylor]: Taking taylor expansion of ky in kx
11.025 * [backup-simplify]: Simplify ky into ky
11.025 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
11.025 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.025 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
11.025 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in kx
11.025 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
11.025 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in kx
11.025 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in kx
11.025 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
11.025 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
11.025 * [taylor]: Taking taylor expansion of -1 in kx
11.025 * [backup-simplify]: Simplify -1 into -1
11.025 * [taylor]: Taking taylor expansion of ky in kx
11.025 * [backup-simplify]: Simplify ky into ky
11.025 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
11.025 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.026 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
11.026 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
11.026 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
11.026 * [taylor]: Taking taylor expansion of -1 in kx
11.026 * [backup-simplify]: Simplify -1 into -1
11.026 * [taylor]: Taking taylor expansion of ky in kx
11.026 * [backup-simplify]: Simplify ky into ky
11.026 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
11.026 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.026 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
11.026 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in kx
11.026 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
11.026 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
11.026 * [taylor]: Taking taylor expansion of -1 in kx
11.026 * [backup-simplify]: Simplify -1 into -1
11.026 * [taylor]: Taking taylor expansion of kx in kx
11.026 * [backup-simplify]: Simplify 0 into 0
11.026 * [backup-simplify]: Simplify 1 into 1
11.026 * [backup-simplify]: Simplify (/ -1 1) into -1
11.026 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
11.026 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
11.026 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
11.026 * [taylor]: Taking taylor expansion of -1 in kx
11.026 * [backup-simplify]: Simplify -1 into -1
11.026 * [taylor]: Taking taylor expansion of kx in kx
11.026 * [backup-simplify]: Simplify 0 into 0
11.026 * [backup-simplify]: Simplify 1 into 1
11.027 * [backup-simplify]: Simplify (/ -1 1) into -1
11.027 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
11.027 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
11.027 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
11.027 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
11.027 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
11.027 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
11.027 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
11.027 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
11.027 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
11.027 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
11.028 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
11.028 * [backup-simplify]: Simplify (+ 0) into 0
11.028 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
11.028 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
11.029 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.029 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
11.029 * [backup-simplify]: Simplify (+ 0 0) into 0
11.030 * [backup-simplify]: Simplify (+ 0) into 0
11.030 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
11.030 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
11.031 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.031 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
11.031 * [backup-simplify]: Simplify (+ 0 0) into 0
11.032 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
11.032 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
11.032 * [backup-simplify]: Simplify (+ 0 0) into 0
11.032 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
11.032 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
11.032 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
11.032 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
11.032 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
11.032 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
11.032 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
11.032 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
11.033 * [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)))))
11.033 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in ky
11.033 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in ky
11.033 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in ky
11.033 * [taylor]: Taking taylor expansion of (/ -1 th) in ky
11.033 * [taylor]: Taking taylor expansion of -1 in ky
11.033 * [backup-simplify]: Simplify -1 into -1
11.033 * [taylor]: Taking taylor expansion of th in ky
11.033 * [backup-simplify]: Simplify th into th
11.033 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
11.033 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
11.033 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
11.033 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
11.033 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
11.033 * [taylor]: Taking taylor expansion of -1 in ky
11.033 * [backup-simplify]: Simplify -1 into -1
11.033 * [taylor]: Taking taylor expansion of ky in ky
11.033 * [backup-simplify]: Simplify 0 into 0
11.033 * [backup-simplify]: Simplify 1 into 1
11.033 * [backup-simplify]: Simplify (/ -1 1) into -1
11.033 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.033 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in ky
11.034 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
11.034 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in ky
11.034 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
11.034 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
11.034 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
11.034 * [taylor]: Taking taylor expansion of -1 in ky
11.034 * [backup-simplify]: Simplify -1 into -1
11.034 * [taylor]: Taking taylor expansion of ky in ky
11.034 * [backup-simplify]: Simplify 0 into 0
11.034 * [backup-simplify]: Simplify 1 into 1
11.034 * [backup-simplify]: Simplify (/ -1 1) into -1
11.034 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.034 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
11.034 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
11.034 * [taylor]: Taking taylor expansion of -1 in ky
11.034 * [backup-simplify]: Simplify -1 into -1
11.034 * [taylor]: Taking taylor expansion of ky in ky
11.034 * [backup-simplify]: Simplify 0 into 0
11.034 * [backup-simplify]: Simplify 1 into 1
11.034 * [backup-simplify]: Simplify (/ -1 1) into -1
11.034 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.034 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
11.035 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
11.035 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
11.035 * [taylor]: Taking taylor expansion of -1 in ky
11.035 * [backup-simplify]: Simplify -1 into -1
11.035 * [taylor]: Taking taylor expansion of kx in ky
11.035 * [backup-simplify]: Simplify kx into kx
11.035 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
11.035 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
11.035 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
11.035 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
11.035 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
11.035 * [taylor]: Taking taylor expansion of -1 in ky
11.035 * [backup-simplify]: Simplify -1 into -1
11.035 * [taylor]: Taking taylor expansion of kx in ky
11.035 * [backup-simplify]: Simplify kx into kx
11.035 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
11.035 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
11.035 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
11.035 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
11.035 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
11.035 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
11.035 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
11.035 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
11.035 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
11.035 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
11.035 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
11.036 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
11.036 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
11.036 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
11.036 * [backup-simplify]: Simplify (+ 0) into 0
11.036 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
11.037 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
11.037 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.037 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
11.038 * [backup-simplify]: Simplify (+ 0 0) into 0
11.038 * [backup-simplify]: Simplify (+ 0) into 0
11.038 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
11.038 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
11.039 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.039 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
11.039 * [backup-simplify]: Simplify (+ 0 0) into 0
11.039 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
11.040 * [backup-simplify]: Simplify (+ 0 0) into 0
11.040 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
11.040 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
11.040 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
11.040 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
11.040 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
11.040 * [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)))))
11.040 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in th
11.040 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in th
11.040 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in th
11.040 * [taylor]: Taking taylor expansion of (/ -1 th) in th
11.040 * [taylor]: Taking taylor expansion of -1 in th
11.040 * [backup-simplify]: Simplify -1 into -1
11.040 * [taylor]: Taking taylor expansion of th in th
11.040 * [backup-simplify]: Simplify 0 into 0
11.040 * [backup-simplify]: Simplify 1 into 1
11.041 * [backup-simplify]: Simplify (/ -1 1) into -1
11.041 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
11.041 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
11.041 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
11.041 * [taylor]: Taking taylor expansion of -1 in th
11.041 * [backup-simplify]: Simplify -1 into -1
11.041 * [taylor]: Taking taylor expansion of ky in th
11.041 * [backup-simplify]: Simplify ky into ky
11.041 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
11.041 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.041 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
11.041 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in th
11.041 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
11.041 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in th
11.041 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in th
11.041 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
11.041 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
11.041 * [taylor]: Taking taylor expansion of -1 in th
11.041 * [backup-simplify]: Simplify -1 into -1
11.041 * [taylor]: Taking taylor expansion of ky in th
11.041 * [backup-simplify]: Simplify ky into ky
11.041 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
11.041 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.041 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
11.041 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
11.041 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
11.041 * [taylor]: Taking taylor expansion of -1 in th
11.041 * [backup-simplify]: Simplify -1 into -1
11.041 * [taylor]: Taking taylor expansion of ky in th
11.041 * [backup-simplify]: Simplify ky into ky
11.042 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
11.042 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.042 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
11.042 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in th
11.042 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in th
11.042 * [taylor]: Taking taylor expansion of (/ -1 kx) in th
11.042 * [taylor]: Taking taylor expansion of -1 in th
11.042 * [backup-simplify]: Simplify -1 into -1
11.042 * [taylor]: Taking taylor expansion of kx in th
11.042 * [backup-simplify]: Simplify kx into kx
11.042 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
11.042 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
11.042 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
11.042 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in th
11.042 * [taylor]: Taking taylor expansion of (/ -1 kx) in th
11.042 * [taylor]: Taking taylor expansion of -1 in th
11.042 * [backup-simplify]: Simplify -1 into -1
11.042 * [taylor]: Taking taylor expansion of kx in th
11.042 * [backup-simplify]: Simplify kx into kx
11.042 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
11.042 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
11.042 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
11.042 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
11.042 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
11.042 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
11.042 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
11.042 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
11.042 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
11.042 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
11.042 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
11.043 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
11.043 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
11.043 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
11.043 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
11.043 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
11.043 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
11.043 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
11.043 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
11.043 * [backup-simplify]: Simplify (+ 0) into 0
11.044 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
11.044 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
11.044 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.045 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
11.045 * [backup-simplify]: Simplify (+ 0 0) into 0
11.045 * [backup-simplify]: Simplify (+ 0) into 0
11.046 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
11.046 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
11.046 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.046 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
11.047 * [backup-simplify]: Simplify (+ 0 0) into 0
11.047 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
11.047 * [backup-simplify]: Simplify (+ 0) into 0
11.047 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
11.048 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
11.048 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.048 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
11.049 * [backup-simplify]: Simplify (+ 0 0) into 0
11.049 * [backup-simplify]: Simplify (+ 0) into 0
11.049 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
11.049 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
11.050 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.050 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
11.050 * [backup-simplify]: Simplify (+ 0 0) into 0
11.050 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
11.051 * [backup-simplify]: Simplify (+ 0 0) into 0
11.051 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
11.051 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
11.051 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
11.051 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
11.051 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
11.051 * [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)))))
11.051 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in th
11.051 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in th
11.051 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in th
11.051 * [taylor]: Taking taylor expansion of (/ -1 th) in th
11.051 * [taylor]: Taking taylor expansion of -1 in th
11.051 * [backup-simplify]: Simplify -1 into -1
11.051 * [taylor]: Taking taylor expansion of th in th
11.051 * [backup-simplify]: Simplify 0 into 0
11.051 * [backup-simplify]: Simplify 1 into 1
11.052 * [backup-simplify]: Simplify (/ -1 1) into -1
11.052 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
11.052 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
11.052 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
11.052 * [taylor]: Taking taylor expansion of -1 in th
11.052 * [backup-simplify]: Simplify -1 into -1
11.052 * [taylor]: Taking taylor expansion of ky in th
11.052 * [backup-simplify]: Simplify ky into ky
11.052 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
11.052 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.052 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
11.052 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in th
11.052 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
11.052 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in th
11.052 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in th
11.052 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
11.052 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
11.052 * [taylor]: Taking taylor expansion of -1 in th
11.052 * [backup-simplify]: Simplify -1 into -1
11.053 * [taylor]: Taking taylor expansion of ky in th
11.053 * [backup-simplify]: Simplify ky into ky
11.053 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
11.053 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.053 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
11.053 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
11.053 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
11.053 * [taylor]: Taking taylor expansion of -1 in th
11.053 * [backup-simplify]: Simplify -1 into -1
11.053 * [taylor]: Taking taylor expansion of ky in th
11.053 * [backup-simplify]: Simplify ky into ky
11.053 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
11.053 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.053 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
11.053 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in th
11.053 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in th
11.053 * [taylor]: Taking taylor expansion of (/ -1 kx) in th
11.053 * [taylor]: Taking taylor expansion of -1 in th
11.053 * [backup-simplify]: Simplify -1 into -1
11.053 * [taylor]: Taking taylor expansion of kx in th
11.053 * [backup-simplify]: Simplify kx into kx
11.053 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
11.053 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
11.053 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
11.053 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in th
11.053 * [taylor]: Taking taylor expansion of (/ -1 kx) in th
11.054 * [taylor]: Taking taylor expansion of -1 in th
11.054 * [backup-simplify]: Simplify -1 into -1
11.054 * [taylor]: Taking taylor expansion of kx in th
11.054 * [backup-simplify]: Simplify kx into kx
11.054 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
11.054 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
11.054 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
11.054 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
11.054 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
11.054 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
11.054 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
11.054 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
11.054 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
11.054 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
11.055 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
11.055 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
11.055 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
11.055 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
11.055 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
11.055 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
11.055 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
11.055 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
11.056 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
11.056 * [backup-simplify]: Simplify (+ 0) into 0
11.057 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
11.057 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
11.058 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.059 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
11.059 * [backup-simplify]: Simplify (+ 0 0) into 0
11.060 * [backup-simplify]: Simplify (+ 0) into 0
11.060 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
11.060 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
11.061 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.062 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
11.062 * [backup-simplify]: Simplify (+ 0 0) into 0
11.062 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
11.063 * [backup-simplify]: Simplify (+ 0) into 0
11.063 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
11.063 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
11.064 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.065 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
11.065 * [backup-simplify]: Simplify (+ 0 0) into 0
11.065 * [backup-simplify]: Simplify (+ 0) into 0
11.066 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
11.066 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
11.067 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.067 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
11.068 * [backup-simplify]: Simplify (+ 0 0) into 0
11.068 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
11.068 * [backup-simplify]: Simplify (+ 0 0) into 0
11.069 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
11.069 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
11.069 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
11.069 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
11.069 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
11.069 * [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)))))
11.069 * [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
11.069 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in ky
11.069 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in ky
11.069 * [taylor]: Taking taylor expansion of (/ -1 th) in ky
11.069 * [taylor]: Taking taylor expansion of -1 in ky
11.070 * [backup-simplify]: Simplify -1 into -1
11.070 * [taylor]: Taking taylor expansion of th in ky
11.070 * [backup-simplify]: Simplify th into th
11.070 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
11.070 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
11.070 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
11.070 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
11.070 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
11.070 * [taylor]: Taking taylor expansion of -1 in ky
11.070 * [backup-simplify]: Simplify -1 into -1
11.070 * [taylor]: Taking taylor expansion of ky in ky
11.070 * [backup-simplify]: Simplify 0 into 0
11.070 * [backup-simplify]: Simplify 1 into 1
11.070 * [backup-simplify]: Simplify (/ -1 1) into -1
11.071 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.071 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in ky
11.071 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in ky
11.071 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in ky
11.071 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in ky
11.071 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
11.071 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
11.071 * [taylor]: Taking taylor expansion of -1 in ky
11.071 * [backup-simplify]: Simplify -1 into -1
11.071 * [taylor]: Taking taylor expansion of kx in ky
11.071 * [backup-simplify]: Simplify kx into kx
11.071 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
11.071 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
11.071 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
11.071 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
11.071 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
11.071 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
11.071 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in ky
11.071 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
11.071 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
11.071 * [taylor]: Taking taylor expansion of -1 in ky
11.071 * [backup-simplify]: Simplify -1 into -1
11.071 * [taylor]: Taking taylor expansion of ky in ky
11.071 * [backup-simplify]: Simplify 0 into 0
11.071 * [backup-simplify]: Simplify 1 into 1
11.072 * [backup-simplify]: Simplify (/ -1 1) into -1
11.072 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.072 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
11.072 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
11.072 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
11.073 * [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)))
11.073 * [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))))
11.073 * [backup-simplify]: Simplify (+ 0) into 0
11.074 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
11.074 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
11.075 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.076 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
11.076 * [backup-simplify]: Simplify (+ 0 0) into 0
11.076 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
11.077 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
11.077 * [backup-simplify]: Simplify (+ 0 0) into 0
11.077 * [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
11.078 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
11.078 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
11.078 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
11.078 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
11.078 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
11.078 * [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)))))
11.078 * [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
11.079 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in kx
11.079 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in kx
11.079 * [taylor]: Taking taylor expansion of (/ -1 th) in kx
11.079 * [taylor]: Taking taylor expansion of -1 in kx
11.079 * [backup-simplify]: Simplify -1 into -1
11.079 * [taylor]: Taking taylor expansion of th in kx
11.079 * [backup-simplify]: Simplify th into th
11.079 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
11.079 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
11.079 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
11.079 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
11.079 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
11.079 * [taylor]: Taking taylor expansion of -1 in kx
11.079 * [backup-simplify]: Simplify -1 into -1
11.079 * [taylor]: Taking taylor expansion of ky in kx
11.079 * [backup-simplify]: Simplify ky into ky
11.079 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
11.079 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.079 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
11.079 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in kx
11.079 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx
11.079 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx
11.079 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx
11.079 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
11.079 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
11.079 * [taylor]: Taking taylor expansion of -1 in kx
11.079 * [backup-simplify]: Simplify -1 into -1
11.079 * [taylor]: Taking taylor expansion of kx in kx
11.080 * [backup-simplify]: Simplify 0 into 0
11.080 * [backup-simplify]: Simplify 1 into 1
11.080 * [backup-simplify]: Simplify (/ -1 1) into -1
11.080 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
11.080 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx
11.080 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
11.080 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
11.080 * [taylor]: Taking taylor expansion of -1 in kx
11.080 * [backup-simplify]: Simplify -1 into -1
11.080 * [taylor]: Taking taylor expansion of ky in kx
11.080 * [backup-simplify]: Simplify ky into ky
11.081 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
11.081 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.081 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
11.081 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
11.081 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
11.081 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
11.081 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
11.081 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
11.081 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
11.082 * [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)))
11.082 * [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))))
11.082 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
11.083 * [backup-simplify]: Simplify (+ 0) into 0
11.083 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
11.083 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
11.084 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.085 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
11.085 * [backup-simplify]: Simplify (+ 0 0) into 0
11.085 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
11.086 * [backup-simplify]: Simplify (+ 0 0) into 0
11.086 * [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
11.086 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
11.087 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
11.087 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
11.087 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
11.087 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
11.087 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
11.087 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
11.087 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
11.088 * [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)))))
11.088 * [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)))))
11.089 * [backup-simplify]: Simplify (+ 0) into 0
11.090 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
11.090 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
11.090 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.091 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
11.091 * [backup-simplify]: Simplify (+ 0 0) into 0
11.092 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 (sin (/ -1 ky)))) into 0
11.092 * [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
11.093 * [taylor]: Taking taylor expansion of 0 in ky
11.093 * [backup-simplify]: Simplify 0 into 0
11.093 * [taylor]: Taking taylor expansion of 0 in kx
11.093 * [backup-simplify]: Simplify 0 into 0
11.093 * [backup-simplify]: Simplify 0 into 0
11.093 * [backup-simplify]: Simplify (+ 0) into 0
11.094 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 1)) into 0
11.094 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
11.095 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.095 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 0)) into 0
11.096 * [backup-simplify]: Simplify (+ 0 0) into 0
11.096 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 (sin (/ -1 ky)))) into 0
11.096 * [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
11.096 * [taylor]: Taking taylor expansion of 0 in kx
11.096 * [backup-simplify]: Simplify 0 into 0
11.097 * [backup-simplify]: Simplify 0 into 0
11.097 * [backup-simplify]: Simplify (+ 0) into 0
11.098 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
11.098 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
11.099 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.099 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
11.099 * [backup-simplify]: Simplify (+ 0 0) into 0
11.100 * [backup-simplify]: Simplify (+ 0) into 0
11.100 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 1)) into 0
11.101 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
11.101 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.102 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 0)) into 0
11.102 * [backup-simplify]: Simplify (+ 0 0) into 0
11.102 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 (sin (/ -1 ky)))) into 0
11.103 * [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
11.103 * [backup-simplify]: Simplify 0 into 0
11.104 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.105 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
11.105 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
11.106 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.106 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
11.107 * [backup-simplify]: Simplify (+ 0 0) into 0
11.107 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
11.108 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.109 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
11.109 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
11.110 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.111 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
11.111 * [backup-simplify]: Simplify (+ 0 0) into 0
11.112 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.113 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
11.113 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
11.114 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.114 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
11.115 * [backup-simplify]: Simplify (+ 0 0) into 0
11.115 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
11.116 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.117 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
11.117 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
11.118 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.119 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
11.119 * [backup-simplify]: Simplify (+ 0 0) into 0
11.120 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.121 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
11.121 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
11.122 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.122 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
11.123 * [backup-simplify]: Simplify (+ 0 0) into 0
11.123 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
11.124 * [backup-simplify]: Simplify (+ 0 0) into 0
11.125 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
11.126 * [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
11.126 * [taylor]: Taking taylor expansion of 0 in ky
11.126 * [backup-simplify]: Simplify 0 into 0
11.126 * [taylor]: Taking taylor expansion of 0 in kx
11.126 * [backup-simplify]: Simplify 0 into 0
11.126 * [backup-simplify]: Simplify 0 into 0
11.126 * [taylor]: Taking taylor expansion of 0 in kx
11.126 * [backup-simplify]: Simplify 0 into 0
11.126 * [backup-simplify]: Simplify 0 into 0
11.127 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.128 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
11.128 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
11.129 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.130 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
11.130 * [backup-simplify]: Simplify (+ 0 0) into 0
11.131 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
11.131 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
11.132 * [backup-simplify]: Simplify (+ 0 0) into 0
11.133 * [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
11.134 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
11.135 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.136 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
11.136 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
11.137 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.138 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
11.138 * [backup-simplify]: Simplify (+ 0 0) into 0
11.139 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
11.139 * [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
11.139 * [taylor]: Taking taylor expansion of 0 in kx
11.139 * [backup-simplify]: Simplify 0 into 0
11.139 * [backup-simplify]: Simplify 0 into 0
11.140 * [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)))
11.140 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2)
11.140 * [backup-simplify]: Simplify (/ (hypot (sin ky) (sin kx)) (sin ky)) into (/ (hypot (sin ky) (sin kx)) (sin ky))
11.140 * [approximate]: Taking taylor expansion of (/ (hypot (sin ky) (sin kx)) (sin ky)) in (ky kx) around 0
11.140 * [taylor]: Taking taylor expansion of (/ (hypot (sin ky) (sin kx)) (sin ky)) in kx
11.140 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in kx
11.140 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
11.141 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in kx
11.141 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in kx
11.141 * [taylor]: Taking taylor expansion of (sin ky) in kx
11.141 * [taylor]: Taking taylor expansion of ky in kx
11.141 * [backup-simplify]: Simplify ky into ky
11.141 * [backup-simplify]: Simplify (sin ky) into (sin ky)
11.141 * [backup-simplify]: Simplify (cos ky) into (cos ky)
11.141 * [taylor]: Taking taylor expansion of (sin ky) in kx
11.141 * [taylor]: Taking taylor expansion of ky in kx
11.141 * [backup-simplify]: Simplify ky into ky
11.141 * [backup-simplify]: Simplify (sin ky) into (sin ky)
11.141 * [backup-simplify]: Simplify (cos ky) into (cos ky)
11.141 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in kx
11.141 * [taylor]: Taking taylor expansion of (sin kx) in kx
11.141 * [taylor]: Taking taylor expansion of kx in kx
11.141 * [backup-simplify]: Simplify 0 into 0
11.141 * [backup-simplify]: Simplify 1 into 1
11.141 * [taylor]: Taking taylor expansion of (sin kx) in kx
11.141 * [taylor]: Taking taylor expansion of kx in kx
11.141 * [backup-simplify]: Simplify 0 into 0
11.141 * [backup-simplify]: Simplify 1 into 1
11.141 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
11.141 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
11.141 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
11.141 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
11.142 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
11.142 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
11.142 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
11.142 * [backup-simplify]: Simplify (* 0 0) into 0
11.142 * [backup-simplify]: Simplify (+ (pow (sin ky) 2) 0) into (pow (sin ky) 2)
11.143 * [backup-simplify]: Simplify (sqrt (pow (sin ky) 2)) into (sin ky)
11.143 * [backup-simplify]: Simplify (+ 0) into 0
11.143 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
11.144 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.145 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
11.145 * [backup-simplify]: Simplify (+ 0 0) into 0
11.145 * [backup-simplify]: Simplify (+ 0) into 0
11.146 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
11.147 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.147 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
11.148 * [backup-simplify]: Simplify (+ 0 0) into 0
11.148 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
11.148 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.149 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.150 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
11.150 * [backup-simplify]: Simplify (+ 0 0) into 0
11.150 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin ky) 2)))) into 0
11.150 * [taylor]: Taking taylor expansion of (sin ky) in kx
11.150 * [taylor]: Taking taylor expansion of ky in kx
11.150 * [backup-simplify]: Simplify ky into ky
11.150 * [backup-simplify]: Simplify (sin ky) into (sin ky)
11.150 * [backup-simplify]: Simplify (cos ky) into (cos ky)
11.150 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
11.151 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
11.151 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
11.151 * [backup-simplify]: Simplify (/ (sin ky) (sin ky)) into 1
11.151 * [taylor]: Taking taylor expansion of (/ (hypot (sin ky) (sin kx)) (sin ky)) in ky
11.151 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky
11.151 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
11.151 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky
11.151 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
11.151 * [taylor]: Taking taylor expansion of (sin ky) in ky
11.151 * [taylor]: Taking taylor expansion of ky in ky
11.151 * [backup-simplify]: Simplify 0 into 0
11.151 * [backup-simplify]: Simplify 1 into 1
11.151 * [taylor]: Taking taylor expansion of (sin ky) in ky
11.151 * [taylor]: Taking taylor expansion of ky in ky
11.151 * [backup-simplify]: Simplify 0 into 0
11.151 * [backup-simplify]: Simplify 1 into 1
11.151 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
11.151 * [taylor]: Taking taylor expansion of (sin kx) in ky
11.151 * [taylor]: Taking taylor expansion of kx in ky
11.151 * [backup-simplify]: Simplify kx into kx
11.151 * [backup-simplify]: Simplify (sin kx) into (sin kx)
11.151 * [backup-simplify]: Simplify (cos kx) into (cos kx)
11.151 * [taylor]: Taking taylor expansion of (sin kx) in ky
11.151 * [taylor]: Taking taylor expansion of kx in ky
11.151 * [backup-simplify]: Simplify kx into kx
11.151 * [backup-simplify]: Simplify (sin kx) into (sin kx)
11.151 * [backup-simplify]: Simplify (cos kx) into (cos kx)
11.152 * [backup-simplify]: Simplify (* 0 0) into 0
11.152 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
11.152 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
11.152 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
11.152 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
11.152 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
11.152 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
11.152 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
11.153 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
11.153 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
11.155 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.156 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.157 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
11.157 * [backup-simplify]: Simplify (+ 0) into 0
11.157 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
11.158 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.159 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
11.159 * [backup-simplify]: Simplify (+ 0 0) into 0
11.159 * [backup-simplify]: Simplify (+ 0) into 0
11.160 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
11.161 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.161 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
11.162 * [backup-simplify]: Simplify (+ 0 0) into 0
11.162 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
11.162 * [backup-simplify]: Simplify (+ 0 0) into 0
11.162 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
11.162 * [taylor]: Taking taylor expansion of (sin ky) in ky
11.162 * [taylor]: Taking taylor expansion of ky in ky
11.162 * [backup-simplify]: Simplify 0 into 0
11.162 * [backup-simplify]: Simplify 1 into 1
11.163 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.163 * [backup-simplify]: Simplify (/ (sin kx) 1) into (sin kx)
11.163 * [taylor]: Taking taylor expansion of (/ (hypot (sin ky) (sin kx)) (sin ky)) in ky
11.163 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky
11.163 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
11.163 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky
11.163 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
11.163 * [taylor]: Taking taylor expansion of (sin ky) in ky
11.163 * [taylor]: Taking taylor expansion of ky in ky
11.163 * [backup-simplify]: Simplify 0 into 0
11.164 * [backup-simplify]: Simplify 1 into 1
11.164 * [taylor]: Taking taylor expansion of (sin ky) in ky
11.164 * [taylor]: Taking taylor expansion of ky in ky
11.164 * [backup-simplify]: Simplify 0 into 0
11.164 * [backup-simplify]: Simplify 1 into 1
11.164 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
11.164 * [taylor]: Taking taylor expansion of (sin kx) in ky
11.164 * [taylor]: Taking taylor expansion of kx in ky
11.164 * [backup-simplify]: Simplify kx into kx
11.164 * [backup-simplify]: Simplify (sin kx) into (sin kx)
11.164 * [backup-simplify]: Simplify (cos kx) into (cos kx)
11.164 * [taylor]: Taking taylor expansion of (sin kx) in ky
11.164 * [taylor]: Taking taylor expansion of kx in ky
11.164 * [backup-simplify]: Simplify kx into kx
11.164 * [backup-simplify]: Simplify (sin kx) into (sin kx)
11.164 * [backup-simplify]: Simplify (cos kx) into (cos kx)
11.164 * [backup-simplify]: Simplify (* 0 0) into 0
11.164 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
11.165 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
11.165 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
11.165 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
11.165 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
11.165 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
11.165 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
11.165 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
11.165 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
11.166 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.166 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.167 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
11.167 * [backup-simplify]: Simplify (+ 0) into 0
11.168 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
11.169 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.169 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
11.169 * [backup-simplify]: Simplify (+ 0 0) into 0
11.170 * [backup-simplify]: Simplify (+ 0) into 0
11.170 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
11.171 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.172 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
11.172 * [backup-simplify]: Simplify (+ 0 0) into 0
11.172 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
11.172 * [backup-simplify]: Simplify (+ 0 0) into 0
11.173 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
11.173 * [taylor]: Taking taylor expansion of (sin ky) in ky
11.173 * [taylor]: Taking taylor expansion of ky in ky
11.173 * [backup-simplify]: Simplify 0 into 0
11.173 * [backup-simplify]: Simplify 1 into 1
11.173 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.173 * [backup-simplify]: Simplify (/ (sin kx) 1) into (sin kx)
11.174 * [taylor]: Taking taylor expansion of (sin kx) in kx
11.174 * [taylor]: Taking taylor expansion of kx in kx
11.174 * [backup-simplify]: Simplify 0 into 0
11.174 * [backup-simplify]: Simplify 1 into 1
11.174 * [backup-simplify]: Simplify 0 into 0
11.174 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.176 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sin kx) (/ 0 1)))) into 0
11.176 * [taylor]: Taking taylor expansion of 0 in kx
11.176 * [backup-simplify]: Simplify 0 into 0
11.176 * [backup-simplify]: Simplify 0 into 0
11.176 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.176 * [backup-simplify]: Simplify 1 into 1
11.177 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.178 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.179 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
11.180 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.180 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
11.181 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.182 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
11.182 * [backup-simplify]: Simplify (+ 0 0) into 0
11.183 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.184 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
11.184 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.185 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
11.185 * [backup-simplify]: Simplify (+ 0 0) into 0
11.186 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 (sin kx)))) into 0
11.186 * [backup-simplify]: Simplify (+ 1 0) into 1
11.187 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sin kx))) into (/ 1/2 (sin kx))
11.188 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
11.190 * [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))))
11.190 * [taylor]: Taking taylor expansion of (+ (* 1/6 (sin kx)) (* 1/2 (/ 1 (sin kx)))) in kx
11.190 * [taylor]: Taking taylor expansion of (* 1/6 (sin kx)) in kx
11.190 * [taylor]: Taking taylor expansion of 1/6 in kx
11.190 * [backup-simplify]: Simplify 1/6 into 1/6
11.190 * [taylor]: Taking taylor expansion of (sin kx) in kx
11.190 * [taylor]: Taking taylor expansion of kx in kx
11.190 * [backup-simplify]: Simplify 0 into 0
11.190 * [backup-simplify]: Simplify 1 into 1
11.190 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (sin kx))) in kx
11.190 * [taylor]: Taking taylor expansion of 1/2 in kx
11.190 * [backup-simplify]: Simplify 1/2 into 1/2
11.190 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx
11.190 * [taylor]: Taking taylor expansion of (sin kx) in kx
11.190 * [taylor]: Taking taylor expansion of kx in kx
11.190 * [backup-simplify]: Simplify 0 into 0
11.190 * [backup-simplify]: Simplify 1 into 1
11.191 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.191 * [backup-simplify]: Simplify (/ 1 1) into 1
11.192 * [backup-simplify]: Simplify (* 1/6 0) into 0
11.193 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.194 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
11.195 * [backup-simplify]: Simplify (+ 0 0) into 0
11.195 * [backup-simplify]: Simplify 0 into 0
11.195 * [backup-simplify]: Simplify 0 into 0
11.196 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.196 * [backup-simplify]: Simplify 0 into 0
11.197 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
11.199 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
11.200 * [backup-simplify]: Simplify (+ (* 0 -1/6) (+ (* 1 0) (+ (* 0 1) (* -1/6 0)))) into 0
11.201 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
11.202 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.204 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
11.205 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
11.205 * [backup-simplify]: Simplify (+ 0 0) into 0
11.206 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
11.207 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.208 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
11.209 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
11.209 * [backup-simplify]: Simplify (+ 0 0) into 0
11.210 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin kx))))) into 0
11.211 * [backup-simplify]: Simplify (+ 0 0) into 0
11.211 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sin kx)))))) (* 2 (sin kx))) into 0
11.212 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
11.215 * [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
11.215 * [taylor]: Taking taylor expansion of 0 in kx
11.215 * [backup-simplify]: Simplify 0 into 0
11.215 * [backup-simplify]: Simplify 0 into 0
11.216 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.216 * [backup-simplify]: Simplify (+ (* 1/6 1) (* 0 0)) into 1/6
11.218 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
11.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/6
11.220 * [backup-simplify]: Simplify (+ (* 1/2 1/6) (+ (* 0 0) (* 0 1))) into 1/12
11.221 * [backup-simplify]: Simplify (+ 1/6 1/12) into 1/4
11.221 * [backup-simplify]: Simplify 1/4 into 1/4
11.221 * [backup-simplify]: Simplify 0 into 0
11.222 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
11.222 * [backup-simplify]: Simplify -1/6 into -1/6
11.223 * [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)))
11.223 * [backup-simplify]: Simplify (/ (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) (sin (/ 1 ky))) into (/ (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) (sin (/ 1 ky)))
11.223 * [approximate]: Taking taylor expansion of (/ (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) (sin (/ 1 ky))) in (ky kx) around 0
11.223 * [taylor]: Taking taylor expansion of (/ (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) (sin (/ 1 ky))) in kx
11.223 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in kx
11.223 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
11.223 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in kx
11.223 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in kx
11.223 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
11.223 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
11.223 * [taylor]: Taking taylor expansion of ky in kx
11.224 * [backup-simplify]: Simplify ky into ky
11.224 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
11.224 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.224 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
11.224 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
11.224 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
11.224 * [taylor]: Taking taylor expansion of ky in kx
11.224 * [backup-simplify]: Simplify ky into ky
11.224 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
11.224 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.224 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
11.224 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in kx
11.224 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
11.224 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
11.224 * [taylor]: Taking taylor expansion of kx in kx
11.224 * [backup-simplify]: Simplify 0 into 0
11.224 * [backup-simplify]: Simplify 1 into 1
11.225 * [backup-simplify]: Simplify (/ 1 1) into 1
11.225 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
11.225 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
11.225 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
11.225 * [taylor]: Taking taylor expansion of kx in kx
11.225 * [backup-simplify]: Simplify 0 into 0
11.225 * [backup-simplify]: Simplify 1 into 1
11.226 * [backup-simplify]: Simplify (/ 1 1) into 1
11.226 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
11.226 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
11.226 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
11.226 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
11.226 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
11.226 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
11.226 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
11.226 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
11.226 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
11.227 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
11.227 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
11.227 * [backup-simplify]: Simplify (+ 0) into 0
11.228 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
11.228 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
11.229 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.229 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
11.230 * [backup-simplify]: Simplify (+ 0 0) into 0
11.230 * [backup-simplify]: Simplify (+ 0) into 0
11.230 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
11.231 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
11.231 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.232 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
11.232 * [backup-simplify]: Simplify (+ 0 0) into 0
11.232 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
11.232 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
11.232 * [backup-simplify]: Simplify (+ 0 0) into 0
11.233 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
11.233 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
11.233 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
11.233 * [taylor]: Taking taylor expansion of ky in kx
11.233 * [backup-simplify]: Simplify ky into ky
11.233 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
11.233 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.233 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
11.233 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
11.233 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
11.233 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
11.233 * [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))))
11.233 * [taylor]: Taking taylor expansion of (/ (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) (sin (/ 1 ky))) in ky
11.233 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky
11.233 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
11.233 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky
11.233 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
11.233 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
11.233 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
11.233 * [taylor]: Taking taylor expansion of ky in ky
11.233 * [backup-simplify]: Simplify 0 into 0
11.233 * [backup-simplify]: Simplify 1 into 1
11.234 * [backup-simplify]: Simplify (/ 1 1) into 1
11.234 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.234 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
11.234 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
11.234 * [taylor]: Taking taylor expansion of ky in ky
11.234 * [backup-simplify]: Simplify 0 into 0
11.234 * [backup-simplify]: Simplify 1 into 1
11.234 * [backup-simplify]: Simplify (/ 1 1) into 1
11.234 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.234 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
11.234 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
11.234 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
11.234 * [taylor]: Taking taylor expansion of kx in ky
11.234 * [backup-simplify]: Simplify kx into kx
11.234 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
11.234 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
11.234 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
11.234 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
11.234 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
11.234 * [taylor]: Taking taylor expansion of kx in ky
11.234 * [backup-simplify]: Simplify kx into kx
11.234 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
11.234 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
11.234 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
11.235 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
11.235 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
11.235 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
11.235 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
11.235 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
11.235 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
11.235 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
11.235 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
11.235 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
11.235 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
11.235 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
11.236 * [backup-simplify]: Simplify (+ 0) into 0
11.236 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
11.236 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
11.236 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.237 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
11.237 * [backup-simplify]: Simplify (+ 0 0) into 0
11.237 * [backup-simplify]: Simplify (+ 0) into 0
11.237 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
11.238 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
11.238 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.238 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
11.239 * [backup-simplify]: Simplify (+ 0 0) into 0
11.239 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
11.239 * [backup-simplify]: Simplify (+ 0 0) into 0
11.239 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
11.239 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
11.239 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
11.239 * [taylor]: Taking taylor expansion of ky in ky
11.239 * [backup-simplify]: Simplify 0 into 0
11.239 * [backup-simplify]: Simplify 1 into 1
11.239 * [backup-simplify]: Simplify (/ 1 1) into 1
11.239 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.240 * [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))))
11.240 * [taylor]: Taking taylor expansion of (/ (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) (sin (/ 1 ky))) in ky
11.240 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky
11.240 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
11.240 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky
11.240 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
11.240 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
11.240 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
11.240 * [taylor]: Taking taylor expansion of ky in ky
11.240 * [backup-simplify]: Simplify 0 into 0
11.240 * [backup-simplify]: Simplify 1 into 1
11.240 * [backup-simplify]: Simplify (/ 1 1) into 1
11.240 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.240 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
11.240 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
11.240 * [taylor]: Taking taylor expansion of ky in ky
11.240 * [backup-simplify]: Simplify 0 into 0
11.240 * [backup-simplify]: Simplify 1 into 1
11.240 * [backup-simplify]: Simplify (/ 1 1) into 1
11.241 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.241 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
11.241 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
11.241 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
11.241 * [taylor]: Taking taylor expansion of kx in ky
11.241 * [backup-simplify]: Simplify kx into kx
11.241 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
11.241 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
11.241 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
11.241 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
11.241 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
11.241 * [taylor]: Taking taylor expansion of kx in ky
11.241 * [backup-simplify]: Simplify kx into kx
11.241 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
11.241 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
11.241 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
11.241 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
11.241 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
11.241 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
11.241 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
11.241 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
11.241 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
11.241 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
11.241 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
11.241 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
11.242 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
11.242 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
11.242 * [backup-simplify]: Simplify (+ 0) into 0
11.242 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
11.242 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
11.243 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.243 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
11.243 * [backup-simplify]: Simplify (+ 0 0) into 0
11.244 * [backup-simplify]: Simplify (+ 0) into 0
11.244 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
11.244 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
11.244 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.245 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
11.245 * [backup-simplify]: Simplify (+ 0 0) into 0
11.245 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
11.245 * [backup-simplify]: Simplify (+ 0 0) into 0
11.246 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
11.246 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
11.246 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
11.246 * [taylor]: Taking taylor expansion of ky in ky
11.246 * [backup-simplify]: Simplify 0 into 0
11.246 * [backup-simplify]: Simplify 1 into 1
11.246 * [backup-simplify]: Simplify (/ 1 1) into 1
11.246 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.246 * [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))))
11.246 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky)))) in kx
11.246 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx
11.246 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx
11.246 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx
11.246 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
11.246 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
11.246 * [taylor]: Taking taylor expansion of kx in kx
11.246 * [backup-simplify]: Simplify 0 into 0
11.246 * [backup-simplify]: Simplify 1 into 1
11.247 * [backup-simplify]: Simplify (/ 1 1) into 1
11.247 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
11.247 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx
11.247 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
11.247 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
11.247 * [taylor]: Taking taylor expansion of ky in kx
11.247 * [backup-simplify]: Simplify ky into ky
11.247 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
11.247 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.247 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
11.247 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
11.247 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
11.247 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
11.247 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
11.247 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
11.247 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
11.247 * [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)))
11.247 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
11.248 * [backup-simplify]: Simplify (+ 0) into 0
11.248 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
11.248 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
11.249 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.249 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
11.249 * [backup-simplify]: Simplify (+ 0 0) into 0
11.249 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
11.249 * [backup-simplify]: Simplify (+ 0 0) into 0
11.250 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
11.250 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ 1 ky))) in kx
11.250 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
11.250 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
11.250 * [taylor]: Taking taylor expansion of ky in kx
11.250 * [backup-simplify]: Simplify ky into ky
11.250 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
11.250 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.250 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
11.250 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
11.250 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
11.250 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
11.250 * [backup-simplify]: Simplify (/ 1 (sin (/ 1 ky))) into (/ 1 (sin (/ 1 ky)))
11.250 * [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))))
11.250 * [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))))
11.251 * [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
11.251 * [taylor]: Taking taylor expansion of 0 in kx
11.251 * [backup-simplify]: Simplify 0 into 0
11.251 * [backup-simplify]: Simplify 0 into 0
11.251 * [backup-simplify]: Simplify (+ 0) into 0
11.251 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
11.252 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
11.252 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.252 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
11.253 * [backup-simplify]: Simplify (+ 0 0) into 0
11.253 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sin (/ 1 ky))) (/ 0 (sin (/ 1 ky)))))) into 0
11.253 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 0) (* 0 (/ 1 (sin (/ 1 ky))))) into 0
11.253 * [backup-simplify]: Simplify 0 into 0
11.253 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
11.254 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.254 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
11.254 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
11.255 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.255 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
11.255 * [backup-simplify]: Simplify (+ 0 0) into 0
11.256 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.256 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
11.256 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
11.257 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.257 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
11.258 * [backup-simplify]: Simplify (+ 0 0) into 0
11.258 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
11.258 * [backup-simplify]: Simplify (+ 0 0) into 0
11.259 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
11.259 * [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
11.259 * [taylor]: Taking taylor expansion of 0 in kx
11.259 * [backup-simplify]: Simplify 0 into 0
11.259 * [backup-simplify]: Simplify 0 into 0
11.259 * [backup-simplify]: Simplify 0 into 0
11.260 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.260 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
11.260 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
11.261 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.261 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
11.262 * [backup-simplify]: Simplify (+ 0 0) into 0
11.262 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sin (/ 1 ky))) (/ 0 (sin (/ 1 ky)))) (* 0 (/ 0 (sin (/ 1 ky)))))) into 0
11.262 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
11.263 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.263 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
11.263 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
11.264 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.265 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
11.265 * [backup-simplify]: Simplify (+ 0 0) into 0
11.265 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
11.266 * [backup-simplify]: Simplify (+ 0 0) into 0
11.267 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
11.267 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 0) (+ (* 0 0) (* 0 (/ 1 (sin (/ 1 ky)))))) into 0
11.267 * [backup-simplify]: Simplify 0 into 0
11.268 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 ky)))))) into 0
11.269 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
11.270 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.270 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
11.272 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
11.273 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
11.273 * [backup-simplify]: Simplify (+ 0 0) into 0
11.274 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
11.276 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.276 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
11.277 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
11.278 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
11.278 * [backup-simplify]: Simplify (+ 0 0) into 0
11.279 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 kx)))))) into 0
11.280 * [backup-simplify]: Simplify (+ 0 0) into 0
11.281 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
11.281 * [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
11.281 * [taylor]: Taking taylor expansion of 0 in kx
11.281 * [backup-simplify]: Simplify 0 into 0
11.281 * [backup-simplify]: Simplify 0 into 0
11.282 * [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)))
11.282 * [backup-simplify]: Simplify (/ (hypot (sin (/ 1 (- ky))) (sin (/ 1 (- kx)))) (sin (/ 1 (- ky)))) into (/ (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) (sin (/ -1 ky)))
11.282 * [approximate]: Taking taylor expansion of (/ (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) (sin (/ -1 ky))) in (ky kx) around 0
11.282 * [taylor]: Taking taylor expansion of (/ (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) (sin (/ -1 ky))) in kx
11.282 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in kx
11.282 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
11.282 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in kx
11.282 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in kx
11.282 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
11.282 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
11.282 * [taylor]: Taking taylor expansion of -1 in kx
11.282 * [backup-simplify]: Simplify -1 into -1
11.282 * [taylor]: Taking taylor expansion of ky in kx
11.282 * [backup-simplify]: Simplify ky into ky
11.283 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
11.283 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.283 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
11.283 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
11.283 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
11.283 * [taylor]: Taking taylor expansion of -1 in kx
11.283 * [backup-simplify]: Simplify -1 into -1
11.283 * [taylor]: Taking taylor expansion of ky in kx
11.283 * [backup-simplify]: Simplify ky into ky
11.283 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
11.283 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.283 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
11.283 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in kx
11.283 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
11.283 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
11.283 * [taylor]: Taking taylor expansion of -1 in kx
11.283 * [backup-simplify]: Simplify -1 into -1
11.283 * [taylor]: Taking taylor expansion of kx in kx
11.283 * [backup-simplify]: Simplify 0 into 0
11.283 * [backup-simplify]: Simplify 1 into 1
11.285 * [backup-simplify]: Simplify (/ -1 1) into -1
11.286 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
11.286 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
11.286 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
11.286 * [taylor]: Taking taylor expansion of -1 in kx
11.286 * [backup-simplify]: Simplify -1 into -1
11.286 * [taylor]: Taking taylor expansion of kx in kx
11.286 * [backup-simplify]: Simplify 0 into 0
11.286 * [backup-simplify]: Simplify 1 into 1
11.286 * [backup-simplify]: Simplify (/ -1 1) into -1
11.286 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
11.287 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
11.287 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
11.287 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
11.287 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
11.287 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
11.287 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
11.287 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
11.287 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
11.287 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
11.288 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
11.288 * [backup-simplify]: Simplify (+ 0) into 0
11.289 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
11.289 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
11.290 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.290 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
11.290 * [backup-simplify]: Simplify (+ 0 0) into 0
11.291 * [backup-simplify]: Simplify (+ 0) into 0
11.291 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
11.291 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
11.292 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.292 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
11.293 * [backup-simplify]: Simplify (+ 0 0) into 0
11.293 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
11.293 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
11.293 * [backup-simplify]: Simplify (+ 0 0) into 0
11.293 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
11.293 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
11.293 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
11.293 * [taylor]: Taking taylor expansion of -1 in kx
11.293 * [backup-simplify]: Simplify -1 into -1
11.293 * [taylor]: Taking taylor expansion of ky in kx
11.293 * [backup-simplify]: Simplify ky into ky
11.293 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
11.293 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.293 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
11.293 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
11.293 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
11.294 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
11.294 * [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))))
11.294 * [taylor]: Taking taylor expansion of (/ (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) (sin (/ -1 ky))) in ky
11.294 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in ky
11.294 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
11.294 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in ky
11.294 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
11.294 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
11.294 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
11.294 * [taylor]: Taking taylor expansion of -1 in ky
11.294 * [backup-simplify]: Simplify -1 into -1
11.294 * [taylor]: Taking taylor expansion of ky in ky
11.294 * [backup-simplify]: Simplify 0 into 0
11.294 * [backup-simplify]: Simplify 1 into 1
11.294 * [backup-simplify]: Simplify (/ -1 1) into -1
11.294 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.294 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
11.294 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
11.294 * [taylor]: Taking taylor expansion of -1 in ky
11.294 * [backup-simplify]: Simplify -1 into -1
11.294 * [taylor]: Taking taylor expansion of ky in ky
11.294 * [backup-simplify]: Simplify 0 into 0
11.294 * [backup-simplify]: Simplify 1 into 1
11.295 * [backup-simplify]: Simplify (/ -1 1) into -1
11.295 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.295 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
11.295 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
11.295 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
11.295 * [taylor]: Taking taylor expansion of -1 in ky
11.295 * [backup-simplify]: Simplify -1 into -1
11.295 * [taylor]: Taking taylor expansion of kx in ky
11.295 * [backup-simplify]: Simplify kx into kx
11.295 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
11.295 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
11.295 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
11.295 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
11.295 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
11.295 * [taylor]: Taking taylor expansion of -1 in ky
11.295 * [backup-simplify]: Simplify -1 into -1
11.295 * [taylor]: Taking taylor expansion of kx in ky
11.295 * [backup-simplify]: Simplify kx into kx
11.295 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
11.295 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
11.295 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
11.295 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
11.295 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
11.295 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
11.295 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
11.296 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
11.296 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
11.296 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
11.296 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
11.296 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
11.296 * [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)))
11.296 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
11.296 * [backup-simplify]: Simplify (+ 0) into 0
11.297 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
11.297 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
11.297 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.298 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
11.298 * [backup-simplify]: Simplify (+ 0 0) into 0
11.298 * [backup-simplify]: Simplify (+ 0) into 0
11.299 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
11.299 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
11.299 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.299 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
11.300 * [backup-simplify]: Simplify (+ 0 0) into 0
11.300 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
11.300 * [backup-simplify]: Simplify (+ 0 0) into 0
11.300 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
11.300 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
11.300 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
11.300 * [taylor]: Taking taylor expansion of -1 in ky
11.300 * [backup-simplify]: Simplify -1 into -1
11.300 * [taylor]: Taking taylor expansion of ky in ky
11.300 * [backup-simplify]: Simplify 0 into 0
11.300 * [backup-simplify]: Simplify 1 into 1
11.301 * [backup-simplify]: Simplify (/ -1 1) into -1
11.301 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.301 * [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))))
11.301 * [taylor]: Taking taylor expansion of (/ (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) (sin (/ -1 ky))) in ky
11.301 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in ky
11.301 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
11.301 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in ky
11.301 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
11.301 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
11.301 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
11.301 * [taylor]: Taking taylor expansion of -1 in ky
11.301 * [backup-simplify]: Simplify -1 into -1
11.301 * [taylor]: Taking taylor expansion of ky in ky
11.301 * [backup-simplify]: Simplify 0 into 0
11.301 * [backup-simplify]: Simplify 1 into 1
11.301 * [backup-simplify]: Simplify (/ -1 1) into -1
11.301 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.301 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
11.301 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
11.301 * [taylor]: Taking taylor expansion of -1 in ky
11.301 * [backup-simplify]: Simplify -1 into -1
11.301 * [taylor]: Taking taylor expansion of ky in ky
11.301 * [backup-simplify]: Simplify 0 into 0
11.301 * [backup-simplify]: Simplify 1 into 1
11.302 * [backup-simplify]: Simplify (/ -1 1) into -1
11.302 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.302 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
11.302 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
11.302 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
11.302 * [taylor]: Taking taylor expansion of -1 in ky
11.302 * [backup-simplify]: Simplify -1 into -1
11.302 * [taylor]: Taking taylor expansion of kx in ky
11.302 * [backup-simplify]: Simplify kx into kx
11.302 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
11.302 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
11.302 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
11.302 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
11.302 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
11.302 * [taylor]: Taking taylor expansion of -1 in ky
11.302 * [backup-simplify]: Simplify -1 into -1
11.302 * [taylor]: Taking taylor expansion of kx in ky
11.302 * [backup-simplify]: Simplify kx into kx
11.302 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
11.302 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
11.302 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
11.302 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
11.302 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
11.302 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
11.303 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
11.303 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
11.303 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
11.303 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
11.303 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
11.303 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
11.303 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
11.303 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
11.303 * [backup-simplify]: Simplify (+ 0) into 0
11.304 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
11.304 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
11.304 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.305 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
11.305 * [backup-simplify]: Simplify (+ 0 0) into 0
11.305 * [backup-simplify]: Simplify (+ 0) into 0
11.305 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
11.305 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
11.306 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.306 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
11.306 * [backup-simplify]: Simplify (+ 0 0) into 0
11.307 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
11.307 * [backup-simplify]: Simplify (+ 0 0) into 0
11.307 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
11.307 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
11.307 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
11.307 * [taylor]: Taking taylor expansion of -1 in ky
11.307 * [backup-simplify]: Simplify -1 into -1
11.307 * [taylor]: Taking taylor expansion of ky in ky
11.307 * [backup-simplify]: Simplify 0 into 0
11.307 * [backup-simplify]: Simplify 1 into 1
11.307 * [backup-simplify]: Simplify (/ -1 1) into -1
11.307 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.308 * [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))))
11.308 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky)))) in kx
11.308 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx
11.308 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx
11.308 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx
11.308 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
11.308 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
11.308 * [taylor]: Taking taylor expansion of -1 in kx
11.308 * [backup-simplify]: Simplify -1 into -1
11.308 * [taylor]: Taking taylor expansion of kx in kx
11.308 * [backup-simplify]: Simplify 0 into 0
11.308 * [backup-simplify]: Simplify 1 into 1
11.308 * [backup-simplify]: Simplify (/ -1 1) into -1
11.308 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
11.308 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx
11.308 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
11.308 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
11.308 * [taylor]: Taking taylor expansion of -1 in kx
11.308 * [backup-simplify]: Simplify -1 into -1
11.308 * [taylor]: Taking taylor expansion of ky in kx
11.308 * [backup-simplify]: Simplify ky into ky
11.308 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
11.308 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.309 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
11.309 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
11.309 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
11.309 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
11.309 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
11.309 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
11.309 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
11.309 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
11.309 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
11.310 * [backup-simplify]: Simplify (+ 0) into 0
11.310 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
11.310 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
11.311 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.311 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
11.311 * [backup-simplify]: Simplify (+ 0 0) into 0
11.311 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
11.311 * [backup-simplify]: Simplify (+ 0 0) into 0
11.312 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
11.312 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ -1 ky))) in kx
11.312 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
11.312 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
11.312 * [taylor]: Taking taylor expansion of -1 in kx
11.312 * [backup-simplify]: Simplify -1 into -1
11.312 * [taylor]: Taking taylor expansion of ky in kx
11.312 * [backup-simplify]: Simplify ky into ky
11.312 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
11.312 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.312 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
11.312 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
11.312 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
11.312 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
11.312 * [backup-simplify]: Simplify (/ 1 (sin (/ -1 ky))) into (/ 1 (sin (/ -1 ky)))
11.312 * [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))))
11.312 * [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))))
11.313 * [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
11.313 * [taylor]: Taking taylor expansion of 0 in kx
11.313 * [backup-simplify]: Simplify 0 into 0
11.313 * [backup-simplify]: Simplify 0 into 0
11.313 * [backup-simplify]: Simplify (+ 0) into 0
11.313 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
11.314 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
11.314 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.314 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
11.315 * [backup-simplify]: Simplify (+ 0 0) into 0
11.315 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sin (/ -1 ky))) (/ 0 (sin (/ -1 ky)))))) into 0
11.315 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 0) (* 0 (/ 1 (sin (/ -1 ky))))) into 0
11.315 * [backup-simplify]: Simplify 0 into 0
11.315 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
11.316 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.316 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
11.316 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
11.317 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.317 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
11.317 * [backup-simplify]: Simplify (+ 0 0) into 0
11.318 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.318 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
11.318 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
11.319 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.319 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
11.319 * [backup-simplify]: Simplify (+ 0 0) into 0
11.320 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
11.320 * [backup-simplify]: Simplify (+ 0 0) into 0
11.321 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
11.321 * [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
11.321 * [taylor]: Taking taylor expansion of 0 in kx
11.321 * [backup-simplify]: Simplify 0 into 0
11.321 * [backup-simplify]: Simplify 0 into 0
11.321 * [backup-simplify]: Simplify 0 into 0
11.322 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.322 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
11.322 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
11.323 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.323 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
11.323 * [backup-simplify]: Simplify (+ 0 0) into 0
11.323 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sin (/ -1 ky))) (/ 0 (sin (/ -1 ky)))) (* 0 (/ 0 (sin (/ -1 ky)))))) into 0
11.324 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
11.324 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.325 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
11.325 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
11.325 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.326 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
11.326 * [backup-simplify]: Simplify (+ 0 0) into 0
11.326 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
11.327 * [backup-simplify]: Simplify (+ 0 0) into 0
11.327 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
11.328 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 0) (+ (* 0 0) (* 0 (/ 1 (sin (/ -1 ky)))))) into 0
11.328 * [backup-simplify]: Simplify 0 into 0
11.329 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 ky)))))) into 0
11.330 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
11.330 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.331 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
11.332 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
11.333 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
11.333 * [backup-simplify]: Simplify (+ 0 0) into 0
11.334 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
11.335 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.335 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
11.337 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
11.337 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
11.338 * [backup-simplify]: Simplify (+ 0 0) into 0
11.339 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 kx)))))) into 0
11.339 * [backup-simplify]: Simplify (+ 0 0) into 0
11.340 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
11.341 * [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
11.341 * [taylor]: Taking taylor expansion of 0 in kx
11.341 * [backup-simplify]: Simplify 0 into 0
11.341 * [backup-simplify]: Simplify 0 into 0
11.341 * [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)))
11.341 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1)
11.341 * [backup-simplify]: Simplify (hypot (sin ky) (sin kx)) into (hypot (sin ky) (sin kx))
11.341 * [approximate]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in (ky kx) around 0
11.341 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in kx
11.342 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
11.342 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in kx
11.342 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in kx
11.342 * [taylor]: Taking taylor expansion of (sin ky) in kx
11.342 * [taylor]: Taking taylor expansion of ky in kx
11.342 * [backup-simplify]: Simplify ky into ky
11.342 * [backup-simplify]: Simplify (sin ky) into (sin ky)
11.342 * [backup-simplify]: Simplify (cos ky) into (cos ky)
11.342 * [taylor]: Taking taylor expansion of (sin ky) in kx
11.342 * [taylor]: Taking taylor expansion of ky in kx
11.342 * [backup-simplify]: Simplify ky into ky
11.342 * [backup-simplify]: Simplify (sin ky) into (sin ky)
11.342 * [backup-simplify]: Simplify (cos ky) into (cos ky)
11.342 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in kx
11.342 * [taylor]: Taking taylor expansion of (sin kx) in kx
11.342 * [taylor]: Taking taylor expansion of kx in kx
11.342 * [backup-simplify]: Simplify 0 into 0
11.342 * [backup-simplify]: Simplify 1 into 1
11.342 * [taylor]: Taking taylor expansion of (sin kx) in kx
11.342 * [taylor]: Taking taylor expansion of kx in kx
11.342 * [backup-simplify]: Simplify 0 into 0
11.342 * [backup-simplify]: Simplify 1 into 1
11.342 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
11.342 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
11.342 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
11.342 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
11.342 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
11.343 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
11.343 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
11.343 * [backup-simplify]: Simplify (* 0 0) into 0
11.343 * [backup-simplify]: Simplify (+ (pow (sin ky) 2) 0) into (pow (sin ky) 2)
11.343 * [backup-simplify]: Simplify (sqrt (pow (sin ky) 2)) into (sin ky)
11.344 * [backup-simplify]: Simplify (+ 0) into 0
11.344 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
11.345 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.345 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
11.346 * [backup-simplify]: Simplify (+ 0 0) into 0
11.346 * [backup-simplify]: Simplify (+ 0) into 0
11.347 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
11.347 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.348 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
11.348 * [backup-simplify]: Simplify (+ 0 0) into 0
11.348 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
11.349 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.350 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.350 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
11.351 * [backup-simplify]: Simplify (+ 0 0) into 0
11.351 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin ky) 2)))) into 0
11.351 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky
11.351 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
11.351 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky
11.351 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
11.351 * [taylor]: Taking taylor expansion of (sin ky) in ky
11.351 * [taylor]: Taking taylor expansion of ky in ky
11.351 * [backup-simplify]: Simplify 0 into 0
11.351 * [backup-simplify]: Simplify 1 into 1
11.351 * [taylor]: Taking taylor expansion of (sin ky) in ky
11.351 * [taylor]: Taking taylor expansion of ky in ky
11.351 * [backup-simplify]: Simplify 0 into 0
11.351 * [backup-simplify]: Simplify 1 into 1
11.351 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
11.351 * [taylor]: Taking taylor expansion of (sin kx) in ky
11.351 * [taylor]: Taking taylor expansion of kx in ky
11.351 * [backup-simplify]: Simplify kx into kx
11.351 * [backup-simplify]: Simplify (sin kx) into (sin kx)
11.351 * [backup-simplify]: Simplify (cos kx) into (cos kx)
11.351 * [taylor]: Taking taylor expansion of (sin kx) in ky
11.351 * [taylor]: Taking taylor expansion of kx in ky
11.352 * [backup-simplify]: Simplify kx into kx
11.352 * [backup-simplify]: Simplify (sin kx) into (sin kx)
11.352 * [backup-simplify]: Simplify (cos kx) into (cos kx)
11.352 * [backup-simplify]: Simplify (* 0 0) into 0
11.352 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
11.352 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
11.352 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
11.352 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
11.352 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
11.352 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
11.352 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
11.353 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
11.353 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
11.353 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.354 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.355 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
11.355 * [backup-simplify]: Simplify (+ 0) into 0
11.356 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
11.356 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.357 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
11.357 * [backup-simplify]: Simplify (+ 0 0) into 0
11.358 * [backup-simplify]: Simplify (+ 0) into 0
11.358 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
11.359 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.359 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
11.360 * [backup-simplify]: Simplify (+ 0 0) into 0
11.360 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
11.360 * [backup-simplify]: Simplify (+ 0 0) into 0
11.360 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
11.360 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky
11.360 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
11.360 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky
11.360 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
11.360 * [taylor]: Taking taylor expansion of (sin ky) in ky
11.360 * [taylor]: Taking taylor expansion of ky in ky
11.361 * [backup-simplify]: Simplify 0 into 0
11.361 * [backup-simplify]: Simplify 1 into 1
11.361 * [taylor]: Taking taylor expansion of (sin ky) in ky
11.361 * [taylor]: Taking taylor expansion of ky in ky
11.361 * [backup-simplify]: Simplify 0 into 0
11.361 * [backup-simplify]: Simplify 1 into 1
11.361 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
11.361 * [taylor]: Taking taylor expansion of (sin kx) in ky
11.361 * [taylor]: Taking taylor expansion of kx in ky
11.361 * [backup-simplify]: Simplify kx into kx
11.361 * [backup-simplify]: Simplify (sin kx) into (sin kx)
11.361 * [backup-simplify]: Simplify (cos kx) into (cos kx)
11.361 * [taylor]: Taking taylor expansion of (sin kx) in ky
11.361 * [taylor]: Taking taylor expansion of kx in ky
11.361 * [backup-simplify]: Simplify kx into kx
11.361 * [backup-simplify]: Simplify (sin kx) into (sin kx)
11.361 * [backup-simplify]: Simplify (cos kx) into (cos kx)
11.362 * [backup-simplify]: Simplify (* 0 0) into 0
11.362 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
11.362 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
11.362 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
11.362 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
11.362 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
11.362 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
11.362 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
11.362 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
11.362 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
11.363 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.364 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.364 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
11.365 * [backup-simplify]: Simplify (+ 0) into 0
11.365 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
11.366 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.366 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
11.367 * [backup-simplify]: Simplify (+ 0 0) into 0
11.367 * [backup-simplify]: Simplify (+ 0) into 0
11.367 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
11.368 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.369 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
11.369 * [backup-simplify]: Simplify (+ 0 0) into 0
11.369 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
11.370 * [backup-simplify]: Simplify (+ 0 0) into 0
11.370 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
11.370 * [taylor]: Taking taylor expansion of (sin kx) in kx
11.370 * [taylor]: Taking taylor expansion of kx in kx
11.370 * [backup-simplify]: Simplify 0 into 0
11.370 * [backup-simplify]: Simplify 1 into 1
11.370 * [backup-simplify]: Simplify 0 into 0
11.370 * [taylor]: Taking taylor expansion of 0 in kx
11.370 * [backup-simplify]: Simplify 0 into 0
11.370 * [backup-simplify]: Simplify 0 into 0
11.371 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.371 * [backup-simplify]: Simplify 1 into 1
11.372 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.372 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.373 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
11.374 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.375 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
11.376 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.376 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
11.377 * [backup-simplify]: Simplify (+ 0 0) into 0
11.378 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.378 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
11.379 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.380 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
11.380 * [backup-simplify]: Simplify (+ 0 0) into 0
11.381 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 (sin kx)))) into 0
11.381 * [backup-simplify]: Simplify (+ 1 0) into 1
11.382 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sin kx))) into (/ 1/2 (sin kx))
11.382 * [taylor]: Taking taylor expansion of (/ 1/2 (sin kx)) in kx
11.382 * [taylor]: Taking taylor expansion of 1/2 in kx
11.382 * [backup-simplify]: Simplify 1/2 into 1/2
11.382 * [taylor]: Taking taylor expansion of (sin kx) in kx
11.382 * [taylor]: Taking taylor expansion of kx in kx
11.382 * [backup-simplify]: Simplify 0 into 0
11.382 * [backup-simplify]: Simplify 1 into 1
11.383 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.383 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.384 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.385 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
11.385 * [backup-simplify]: Simplify 0 into 0
11.385 * [backup-simplify]: Simplify 0 into 0
11.386 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.386 * [backup-simplify]: Simplify 0 into 0
11.387 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
11.389 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
11.390 * [backup-simplify]: Simplify (+ (* 0 -1/6) (+ (* 1 0) (+ (* 0 1) (* -1/6 0)))) into 0
11.391 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
11.392 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.394 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
11.394 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
11.395 * [backup-simplify]: Simplify (+ 0 0) into 0
11.396 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
11.396 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.398 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
11.399 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
11.399 * [backup-simplify]: Simplify (+ 0 0) into 0
11.400 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin kx))))) into 0
11.400 * [backup-simplify]: Simplify (+ 0 0) into 0
11.401 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sin kx)))))) (* 2 (sin kx))) into 0
11.401 * [taylor]: Taking taylor expansion of 0 in kx
11.401 * [backup-simplify]: Simplify 0 into 0
11.401 * [backup-simplify]: Simplify 0 into 0
11.402 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
11.404 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/12
11.404 * [backup-simplify]: Simplify 1/12 into 1/12
11.404 * [backup-simplify]: Simplify 0 into 0
11.405 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
11.405 * [backup-simplify]: Simplify -1/6 into -1/6
11.406 * [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)))
11.406 * [backup-simplify]: Simplify (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) into (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))
11.406 * [approximate]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in (ky kx) around 0
11.406 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in kx
11.406 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
11.406 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in kx
11.406 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in kx
11.406 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
11.406 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
11.406 * [taylor]: Taking taylor expansion of ky in kx
11.406 * [backup-simplify]: Simplify ky into ky
11.406 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
11.406 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.407 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
11.407 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
11.407 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
11.407 * [taylor]: Taking taylor expansion of ky in kx
11.407 * [backup-simplify]: Simplify ky into ky
11.407 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
11.407 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.407 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
11.407 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in kx
11.407 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
11.407 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
11.407 * [taylor]: Taking taylor expansion of kx in kx
11.407 * [backup-simplify]: Simplify 0 into 0
11.407 * [backup-simplify]: Simplify 1 into 1
11.407 * [backup-simplify]: Simplify (/ 1 1) into 1
11.408 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
11.408 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
11.408 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
11.408 * [taylor]: Taking taylor expansion of kx in kx
11.408 * [backup-simplify]: Simplify 0 into 0
11.408 * [backup-simplify]: Simplify 1 into 1
11.408 * [backup-simplify]: Simplify (/ 1 1) into 1
11.408 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
11.408 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
11.408 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
11.408 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
11.408 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
11.409 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
11.409 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
11.409 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
11.409 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
11.409 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
11.409 * [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)))
11.410 * [backup-simplify]: Simplify (+ 0) into 0
11.412 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
11.412 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
11.413 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.413 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
11.414 * [backup-simplify]: Simplify (+ 0 0) into 0
11.414 * [backup-simplify]: Simplify (+ 0) into 0
11.415 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
11.415 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
11.416 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.416 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
11.416 * [backup-simplify]: Simplify (+ 0 0) into 0
11.417 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
11.417 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
11.417 * [backup-simplify]: Simplify (+ 0 0) into 0
11.417 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
11.417 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky
11.417 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
11.418 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky
11.418 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
11.418 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
11.418 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
11.418 * [taylor]: Taking taylor expansion of ky in ky
11.418 * [backup-simplify]: Simplify 0 into 0
11.418 * [backup-simplify]: Simplify 1 into 1
11.418 * [backup-simplify]: Simplify (/ 1 1) into 1
11.418 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.418 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
11.418 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
11.418 * [taylor]: Taking taylor expansion of ky in ky
11.418 * [backup-simplify]: Simplify 0 into 0
11.418 * [backup-simplify]: Simplify 1 into 1
11.419 * [backup-simplify]: Simplify (/ 1 1) into 1
11.419 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.419 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
11.419 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
11.419 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
11.419 * [taylor]: Taking taylor expansion of kx in ky
11.419 * [backup-simplify]: Simplify kx into kx
11.419 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
11.419 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
11.419 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
11.419 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
11.419 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
11.419 * [taylor]: Taking taylor expansion of kx in ky
11.419 * [backup-simplify]: Simplify kx into kx
11.419 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
11.419 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
11.419 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
11.420 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
11.420 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
11.420 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
11.420 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
11.420 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
11.420 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
11.420 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
11.420 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
11.420 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
11.421 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
11.421 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
11.421 * [backup-simplify]: Simplify (+ 0) into 0
11.422 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
11.422 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
11.423 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.423 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
11.424 * [backup-simplify]: Simplify (+ 0 0) into 0
11.424 * [backup-simplify]: Simplify (+ 0) into 0
11.424 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
11.424 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
11.425 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.425 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
11.425 * [backup-simplify]: Simplify (+ 0 0) into 0
11.425 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
11.426 * [backup-simplify]: Simplify (+ 0 0) into 0
11.426 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
11.426 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky
11.426 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
11.426 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky
11.426 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
11.426 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
11.426 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
11.426 * [taylor]: Taking taylor expansion of ky in ky
11.426 * [backup-simplify]: Simplify 0 into 0
11.426 * [backup-simplify]: Simplify 1 into 1
11.426 * [backup-simplify]: Simplify (/ 1 1) into 1
11.426 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.426 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
11.427 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
11.427 * [taylor]: Taking taylor expansion of ky in ky
11.427 * [backup-simplify]: Simplify 0 into 0
11.427 * [backup-simplify]: Simplify 1 into 1
11.427 * [backup-simplify]: Simplify (/ 1 1) into 1
11.427 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.427 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
11.427 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
11.427 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
11.427 * [taylor]: Taking taylor expansion of kx in ky
11.427 * [backup-simplify]: Simplify kx into kx
11.427 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
11.427 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
11.427 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
11.427 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
11.427 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
11.427 * [taylor]: Taking taylor expansion of kx in ky
11.427 * [backup-simplify]: Simplify kx into kx
11.427 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
11.427 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
11.427 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
11.427 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
11.427 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
11.427 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
11.427 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
11.428 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
11.428 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
11.428 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
11.428 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
11.428 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
11.428 * [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)))
11.428 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
11.428 * [backup-simplify]: Simplify (+ 0) into 0
11.429 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
11.429 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
11.429 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.429 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
11.430 * [backup-simplify]: Simplify (+ 0 0) into 0
11.430 * [backup-simplify]: Simplify (+ 0) into 0
11.430 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
11.430 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
11.431 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.431 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
11.431 * [backup-simplify]: Simplify (+ 0 0) into 0
11.431 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
11.432 * [backup-simplify]: Simplify (+ 0 0) into 0
11.432 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
11.432 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx
11.432 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx
11.432 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx
11.432 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
11.432 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
11.432 * [taylor]: Taking taylor expansion of kx in kx
11.432 * [backup-simplify]: Simplify 0 into 0
11.432 * [backup-simplify]: Simplify 1 into 1
11.432 * [backup-simplify]: Simplify (/ 1 1) into 1
11.432 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
11.432 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx
11.432 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
11.432 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
11.432 * [taylor]: Taking taylor expansion of ky in kx
11.432 * [backup-simplify]: Simplify ky into ky
11.433 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
11.433 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.433 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
11.433 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
11.433 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
11.433 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
11.433 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
11.433 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
11.433 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
11.433 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
11.433 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
11.434 * [backup-simplify]: Simplify (+ 0) into 0
11.434 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
11.434 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
11.434 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.435 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
11.435 * [backup-simplify]: Simplify (+ 0 0) into 0
11.435 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
11.435 * [backup-simplify]: Simplify (+ 0 0) into 0
11.435 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
11.436 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
11.436 * [taylor]: Taking taylor expansion of 0 in kx
11.436 * [backup-simplify]: Simplify 0 into 0
11.436 * [backup-simplify]: Simplify 0 into 0
11.436 * [backup-simplify]: Simplify 0 into 0
11.436 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
11.437 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.437 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
11.437 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
11.438 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.438 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
11.438 * [backup-simplify]: Simplify (+ 0 0) into 0
11.439 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.439 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
11.439 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
11.440 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.440 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
11.440 * [backup-simplify]: Simplify (+ 0 0) into 0
11.441 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
11.441 * [backup-simplify]: Simplify (+ 0 0) into 0
11.442 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
11.442 * [taylor]: Taking taylor expansion of 0 in kx
11.442 * [backup-simplify]: Simplify 0 into 0
11.442 * [backup-simplify]: Simplify 0 into 0
11.442 * [backup-simplify]: Simplify 0 into 0
11.442 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
11.442 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.443 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
11.443 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
11.444 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.444 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
11.444 * [backup-simplify]: Simplify (+ 0 0) into 0
11.444 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
11.445 * [backup-simplify]: Simplify (+ 0 0) into 0
11.445 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
11.445 * [backup-simplify]: Simplify 0 into 0
11.446 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 ky)))))) into 0
11.446 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
11.447 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.447 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
11.448 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
11.449 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
11.449 * [backup-simplify]: Simplify (+ 0 0) into 0
11.449 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
11.450 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.450 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
11.451 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
11.451 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
11.452 * [backup-simplify]: Simplify (+ 0 0) into 0
11.452 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 kx)))))) into 0
11.452 * [backup-simplify]: Simplify (+ 0 0) into 0
11.453 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
11.453 * [taylor]: Taking taylor expansion of 0 in kx
11.453 * [backup-simplify]: Simplify 0 into 0
11.453 * [backup-simplify]: Simplify 0 into 0
11.453 * [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)))
11.453 * [backup-simplify]: Simplify (hypot (sin (/ 1 (- ky))) (sin (/ 1 (- kx)))) into (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))
11.453 * [approximate]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in (ky kx) around 0
11.453 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in kx
11.453 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
11.453 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in kx
11.453 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in kx
11.453 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
11.453 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
11.454 * [taylor]: Taking taylor expansion of -1 in kx
11.454 * [backup-simplify]: Simplify -1 into -1
11.454 * [taylor]: Taking taylor expansion of ky in kx
11.454 * [backup-simplify]: Simplify ky into ky
11.454 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
11.454 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.454 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
11.454 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
11.454 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
11.454 * [taylor]: Taking taylor expansion of -1 in kx
11.454 * [backup-simplify]: Simplify -1 into -1
11.454 * [taylor]: Taking taylor expansion of ky in kx
11.454 * [backup-simplify]: Simplify ky into ky
11.454 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
11.454 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.454 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
11.454 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in kx
11.454 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
11.454 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
11.454 * [taylor]: Taking taylor expansion of -1 in kx
11.454 * [backup-simplify]: Simplify -1 into -1
11.454 * [taylor]: Taking taylor expansion of kx in kx
11.454 * [backup-simplify]: Simplify 0 into 0
11.454 * [backup-simplify]: Simplify 1 into 1
11.454 * [backup-simplify]: Simplify (/ -1 1) into -1
11.454 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
11.454 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
11.454 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
11.454 * [taylor]: Taking taylor expansion of -1 in kx
11.454 * [backup-simplify]: Simplify -1 into -1
11.454 * [taylor]: Taking taylor expansion of kx in kx
11.454 * [backup-simplify]: Simplify 0 into 0
11.454 * [backup-simplify]: Simplify 1 into 1
11.455 * [backup-simplify]: Simplify (/ -1 1) into -1
11.455 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
11.455 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
11.455 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
11.455 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
11.455 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
11.455 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
11.455 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
11.455 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
11.455 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
11.455 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
11.456 * [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)))
11.456 * [backup-simplify]: Simplify (+ 0) into 0
11.456 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
11.457 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
11.457 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.458 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
11.458 * [backup-simplify]: Simplify (+ 0 0) into 0
11.459 * [backup-simplify]: Simplify (+ 0) into 0
11.459 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
11.459 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
11.460 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.460 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
11.461 * [backup-simplify]: Simplify (+ 0 0) into 0
11.461 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
11.461 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
11.462 * [backup-simplify]: Simplify (+ 0 0) into 0
11.462 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
11.462 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in ky
11.462 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
11.462 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in ky
11.462 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
11.462 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
11.462 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
11.462 * [taylor]: Taking taylor expansion of -1 in ky
11.462 * [backup-simplify]: Simplify -1 into -1
11.462 * [taylor]: Taking taylor expansion of ky in ky
11.462 * [backup-simplify]: Simplify 0 into 0
11.462 * [backup-simplify]: Simplify 1 into 1
11.463 * [backup-simplify]: Simplify (/ -1 1) into -1
11.463 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.463 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
11.463 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
11.463 * [taylor]: Taking taylor expansion of -1 in ky
11.463 * [backup-simplify]: Simplify -1 into -1
11.463 * [taylor]: Taking taylor expansion of ky in ky
11.463 * [backup-simplify]: Simplify 0 into 0
11.463 * [backup-simplify]: Simplify 1 into 1
11.464 * [backup-simplify]: Simplify (/ -1 1) into -1
11.464 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.464 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
11.464 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
11.464 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
11.464 * [taylor]: Taking taylor expansion of -1 in ky
11.464 * [backup-simplify]: Simplify -1 into -1
11.464 * [taylor]: Taking taylor expansion of kx in ky
11.464 * [backup-simplify]: Simplify kx into kx
11.464 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
11.464 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
11.464 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
11.464 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
11.464 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
11.464 * [taylor]: Taking taylor expansion of -1 in ky
11.464 * [backup-simplify]: Simplify -1 into -1
11.464 * [taylor]: Taking taylor expansion of kx in ky
11.464 * [backup-simplify]: Simplify kx into kx
11.464 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
11.464 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
11.464 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
11.465 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
11.465 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
11.465 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
11.465 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
11.465 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
11.465 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
11.465 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
11.465 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
11.465 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
11.466 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
11.466 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
11.466 * [backup-simplify]: Simplify (+ 0) into 0
11.467 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
11.467 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
11.468 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.468 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
11.469 * [backup-simplify]: Simplify (+ 0 0) into 0
11.469 * [backup-simplify]: Simplify (+ 0) into 0
11.470 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
11.470 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
11.471 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.471 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
11.471 * [backup-simplify]: Simplify (+ 0 0) into 0
11.472 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
11.472 * [backup-simplify]: Simplify (+ 0 0) into 0
11.472 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
11.472 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in ky
11.472 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
11.472 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in ky
11.473 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
11.473 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
11.473 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
11.473 * [taylor]: Taking taylor expansion of -1 in ky
11.473 * [backup-simplify]: Simplify -1 into -1
11.473 * [taylor]: Taking taylor expansion of ky in ky
11.473 * [backup-simplify]: Simplify 0 into 0
11.473 * [backup-simplify]: Simplify 1 into 1
11.473 * [backup-simplify]: Simplify (/ -1 1) into -1
11.473 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.473 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
11.473 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
11.473 * [taylor]: Taking taylor expansion of -1 in ky
11.473 * [backup-simplify]: Simplify -1 into -1
11.473 * [taylor]: Taking taylor expansion of ky in ky
11.473 * [backup-simplify]: Simplify 0 into 0
11.473 * [backup-simplify]: Simplify 1 into 1
11.474 * [backup-simplify]: Simplify (/ -1 1) into -1
11.474 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.474 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
11.474 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
11.474 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
11.474 * [taylor]: Taking taylor expansion of -1 in ky
11.474 * [backup-simplify]: Simplify -1 into -1
11.474 * [taylor]: Taking taylor expansion of kx in ky
11.474 * [backup-simplify]: Simplify kx into kx
11.474 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
11.474 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
11.474 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
11.474 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
11.474 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
11.474 * [taylor]: Taking taylor expansion of -1 in ky
11.474 * [backup-simplify]: Simplify -1 into -1
11.474 * [taylor]: Taking taylor expansion of kx in ky
11.474 * [backup-simplify]: Simplify kx into kx
11.475 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
11.475 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
11.475 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
11.475 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
11.475 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
11.475 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
11.475 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
11.475 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
11.475 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
11.475 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
11.475 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
11.476 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
11.476 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
11.476 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
11.477 * [backup-simplify]: Simplify (+ 0) into 0
11.477 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
11.478 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
11.478 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.479 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
11.479 * [backup-simplify]: Simplify (+ 0 0) into 0
11.480 * [backup-simplify]: Simplify (+ 0) into 0
11.480 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
11.480 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
11.481 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.482 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
11.482 * [backup-simplify]: Simplify (+ 0 0) into 0
11.482 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
11.483 * [backup-simplify]: Simplify (+ 0 0) into 0
11.483 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
11.483 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx
11.483 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx
11.483 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx
11.483 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
11.483 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
11.483 * [taylor]: Taking taylor expansion of -1 in kx
11.483 * [backup-simplify]: Simplify -1 into -1
11.483 * [taylor]: Taking taylor expansion of kx in kx
11.483 * [backup-simplify]: Simplify 0 into 0
11.483 * [backup-simplify]: Simplify 1 into 1
11.484 * [backup-simplify]: Simplify (/ -1 1) into -1
11.484 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
11.484 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx
11.484 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
11.484 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
11.484 * [taylor]: Taking taylor expansion of -1 in kx
11.484 * [backup-simplify]: Simplify -1 into -1
11.484 * [taylor]: Taking taylor expansion of ky in kx
11.484 * [backup-simplify]: Simplify ky into ky
11.484 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
11.484 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.484 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
11.485 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
11.485 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
11.485 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
11.485 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
11.485 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
11.485 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
11.485 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
11.486 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
11.486 * [backup-simplify]: Simplify (+ 0) into 0
11.487 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
11.487 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
11.488 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.488 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
11.489 * [backup-simplify]: Simplify (+ 0 0) into 0
11.489 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
11.489 * [backup-simplify]: Simplify (+ 0 0) into 0
11.490 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
11.490 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
11.490 * [taylor]: Taking taylor expansion of 0 in kx
11.490 * [backup-simplify]: Simplify 0 into 0
11.490 * [backup-simplify]: Simplify 0 into 0
11.490 * [backup-simplify]: Simplify 0 into 0
11.491 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
11.491 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.492 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
11.492 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
11.493 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.494 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
11.494 * [backup-simplify]: Simplify (+ 0 0) into 0
11.495 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.496 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
11.496 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
11.497 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.497 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
11.498 * [backup-simplify]: Simplify (+ 0 0) into 0
11.498 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
11.499 * [backup-simplify]: Simplify (+ 0 0) into 0
11.500 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
11.500 * [taylor]: Taking taylor expansion of 0 in kx
11.500 * [backup-simplify]: Simplify 0 into 0
11.500 * [backup-simplify]: Simplify 0 into 0
11.500 * [backup-simplify]: Simplify 0 into 0
11.500 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
11.501 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.502 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
11.502 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
11.503 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.504 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
11.504 * [backup-simplify]: Simplify (+ 0 0) into 0
11.505 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
11.505 * [backup-simplify]: Simplify (+ 0 0) into 0
11.506 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
11.506 * [backup-simplify]: Simplify 0 into 0
11.507 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 ky)))))) into 0
11.508 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
11.509 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.509 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
11.510 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
11.511 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
11.512 * [backup-simplify]: Simplify (+ 0 0) into 0
11.513 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
11.513 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.514 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
11.515 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
11.516 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
11.516 * [backup-simplify]: Simplify (+ 0 0) into 0
11.517 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 kx)))))) into 0
11.517 * [backup-simplify]: Simplify (+ 0 0) into 0
11.518 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
11.519 * [taylor]: Taking taylor expansion of 0 in kx
11.519 * [backup-simplify]: Simplify 0 into 0
11.519 * [backup-simplify]: Simplify 0 into 0
11.519 * [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)))
11.519 * * * [progress]: simplifying candidates
11.519 * * * * [progress]: [ 1 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (expm1 (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
11.519 * * * * [progress]: [ 2 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (expm1 (log1p (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
11.519 * * * * [progress]: [ 3 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (pow (/ (hypot (sin ky) (sin kx)) (sin ky)) -1)))>
11.519 * * * * [progress]: [ 4 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (pow (/ (hypot (sin ky) (sin kx)) (sin ky)) (- 1))))>
11.519 * * * * [progress]: [ 5 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (pow (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky))) 1)))>
11.519 * * * * [progress]: [ 6 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (exp (- (- (log (hypot (sin ky) (sin kx))) (log (sin ky)))))))>
11.519 * * * * [progress]: [ 7 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (exp (- (log (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
11.520 * * * * [progress]: [ 8 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (exp (- 0 (- (log (hypot (sin ky) (sin kx))) (log (sin ky)))))))>
11.520 * * * * [progress]: [ 9 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (exp (- 0 (log (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
11.520 * * * * [progress]: [ 10 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (exp (- (log 1) (- (log (hypot (sin ky) (sin kx))) (log (sin ky)))))))>
11.520 * * * * [progress]: [ 11 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (exp (- (log 1) (log (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
11.520 * * * * [progress]: [ 12 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (exp (log (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
11.520 * * * * [progress]: [ 13 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log (exp (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
11.520 * * * * [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)))))))>
11.520 * * * * [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)))))))>
11.520 * * * * [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)))))))>
11.520 * * * * [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)))))))>
11.520 * * * * [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)))))))>
11.520 * * * * [progress]: [ 19 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (- 1) (- (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
11.520 * * * * [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)))))))>
11.520 * * * * [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)))))))>
11.520 * * * * [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)))))))>
11.521 * * * * [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)))))))>
11.521 * * * * [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))))))>
11.521 * * * * [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)))))))>
11.521 * * * * [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)))))))>
11.521 * * * * [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))))))>
11.521 * * * * [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)))))))>
11.521 * * * * [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)))))))>
11.521 * * * * [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))))))>
11.521 * * * * [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))))))>
11.521 * * * * [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))))))>
11.521 * * * * [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)))))))>
11.521 * * * * [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)))))))>
11.521 * * * * [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)))))))>
11.521 * * * * [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)))))))>
11.522 * * * * [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))))))>
11.522 * * * * [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)))))))>
11.522 * * * * [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)))))))>
11.522 * * * * [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))))))>
11.522 * * * * [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)))))))>
11.522 * * * * [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)))))))>
11.522 * * * * [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))))))>
11.522 * * * * [progress]: [ 44 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ (sqrt 1) 1) (/ (sqrt 1) (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
11.522 * * * * [progress]: [ 45 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ (sqrt 1) (hypot (sin ky) (sin kx))) (/ (sqrt 1) (/ 1 (sin ky))))))>
11.522 * * * * [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)))))))>
11.522 * * * * [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)))))))>
11.522 * * * * [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)))))))>
11.522 * * * * [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)))))))>
11.522 * * * * [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))))))>
11.522 * * * * [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)))))))>
11.523 * * * * [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)))))))>
11.523 * * * * [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))))))>
11.523 * * * * [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)))))))>
11.523 * * * * [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)))))))>
11.523 * * * * [progress]: [ 56 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ 1 (/ 1 1)) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
11.523 * * * * [progress]: [ 57 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ 1 1) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
11.523 * * * * [progress]: [ 58 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ 1 (hypot (sin ky) (sin kx))) (/ 1 (/ 1 (sin ky))))))>
11.523 * * * * [progress]: [ 59 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* 1 (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
11.523 * * * * [progress]: [ 60 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* 1 (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
11.523 * * * * [progress]: [ 61 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (/ (/ (hypot (sin ky) (sin kx)) (sin ky)) 1))))>
11.523 * * * * [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))))))>
11.523 * * * * [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))))))>
11.523 * * * * [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))))))>
11.523 * * * * [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))))))>
11.524 * * * * [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)))))>
11.524 * * * * [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))))))>
11.524 * * * * [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))))))>
11.524 * * * * [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)))))>
11.524 * * * * [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))))))>
11.524 * * * * [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))))))>
11.524 * * * * [progress]: [ 72 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (/ 1 (/ 1 1)) (/ (hypot (sin ky) (sin kx)) (sin ky)))))>
11.524 * * * * [progress]: [ 73 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (/ 1 1) (/ (hypot (sin ky) (sin kx)) (sin ky)))))>
11.524 * * * * [progress]: [ 74 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (/ 1 (hypot (sin ky) (sin kx))) (/ 1 (sin ky)))))>
11.524 * * * * [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)))))>
11.524 * * * * [progress]: [ 76 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (sqrt 1) (/ (/ (hypot (sin ky) (sin kx)) (sin ky)) (sqrt 1)))))>
11.524 * * * * [progress]: [ 77 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (/ (/ (hypot (sin ky) (sin kx)) (sin ky)) 1))))>
11.524 * * * * [progress]: [ 78 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ 1 (hypot (sin ky) (sin kx))) (sin ky))))>
11.524 * * * * [progress]: [ 79 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (posit16->real (real->posit16 (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
11.524 * * * * [progress]: [ 80 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (log1p (expm1 (* (sin th) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
11.524 * * * * [progress]: [ 81 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (expm1 (log1p (* (sin th) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
11.525 * * * * [progress]: [ 82 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (pow (* (sin th) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))) 1))>
11.525 * * * * [progress]: [ 83 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (pow (* (sin th) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))) 1))>
11.525 * * * * [progress]: [ 84 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (exp (+ (log (sin th)) (- (- (log (hypot (sin ky) (sin kx))) (log (sin ky)))))))>
11.525 * * * * [progress]: [ 85 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (exp (+ (log (sin th)) (- (log (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
11.525 * * * * [progress]: [ 86 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (exp (+ (log (sin th)) (- 0 (- (log (hypot (sin ky) (sin kx))) (log (sin ky)))))))>
11.525 * * * * [progress]: [ 87 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (exp (+ (log (sin th)) (- 0 (log (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
11.525 * * * * [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)))))))>
11.525 * * * * [progress]: [ 89 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (exp (+ (log (sin th)) (- (log 1) (log (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
11.525 * * * * [progress]: [ 90 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (exp (+ (log (sin th)) (log (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
11.525 * * * * [progress]: [ 91 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (exp (log (* (sin th) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
11.525 * * * * [progress]: [ 92 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (log (exp (* (sin th) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
11.525 * * * * [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)))))))>
11.525 * * * * [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)))))))>
11.525 * * * * [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)))))))>
11.525 * * * * [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)))))))>
11.526 * * * * [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)))))))>
11.526 * * * * [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)))))))>
11.526 * * * * [progress]: [ 99 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* 1 (* (sin th) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
11.526 * * * * [progress]: [ 100 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))))>
11.526 * * * * [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)))))))>
11.526 * * * * [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)))))))>
11.526 * * * * [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)))))))>
11.526 * * * * [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)))))))>
11.526 * * * * [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)))))))>
11.526 * * * * [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))))))>
11.526 * * * * [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))))))>
11.526 * * * * [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))))))>
11.526 * * * * [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))))))>
11.526 * * * * [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))))))>
11.526 * * * * [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))))))>
11.527 * * * * [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)))))>
11.527 * * * * [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))))))>
11.527 * * * * [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))))))>
11.527 * * * * [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)))))>
11.527 * * * * [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))))))>
11.527 * * * * [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))))))>
11.527 * * * * [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)))))>
11.527 * * * * [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)))))>
11.527 * * * * [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)))))>
11.527 * * * * [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))))))>
11.527 * * * * [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))))))>
11.527 * * * * [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))))))>
11.527 * * * * [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))))))>
11.527 * * * * [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)))))>
11.528 * * * * [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))))))>
11.528 * * * * [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))))))>
11.528 * * * * [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)))))>
11.528 * * * * [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))))))>
11.528 * * * * [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))))))>
11.528 * * * * [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)))))>
11.528 * * * * [progress]: [ 132 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ (sqrt 1) 1)) (/ (sqrt 1) (/ (hypot (sin ky) (sin kx)) (sin ky)))))>
11.528 * * * * [progress]: [ 133 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ (sqrt 1) (hypot (sin ky) (sin kx)))) (/ (sqrt 1) (/ 1 (sin ky)))))>
11.528 * * * * [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))))))>
11.528 * * * * [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))))))>
11.528 * * * * [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))))))>
11.528 * * * * [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))))))>
11.528 * * * * [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)))))>
11.528 * * * * [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))))))>
11.528 * * * * [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))))))>
11.528 * * * * [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)))))>
11.528 * * * * [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))))))>
11.528 * * * * [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))))))>
11.528 * * * * [progress]: [ 144 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ 1 (/ 1 1))) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))>
11.528 * * * * [progress]: [ 145 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ 1 1)) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))>
11.528 * * * * [progress]: [ 146 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ 1 (hypot (sin ky) (sin kx)))) (/ 1 (/ 1 (sin ky)))))>
11.528 * * * * [progress]: [ 147 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) 1) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))>
11.528 * * * * [progress]: [ 148 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) 1) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))>
11.528 * * * * [progress]: [ 149 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ 1 (hypot (sin ky) (sin kx)))) (sin ky)))>
11.529 * * * * [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))))))>
11.529 * * * * [progress]: [ 151 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sqrt (sin th)) (* (sqrt (sin th)) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
11.529 * * * * [progress]: [ 152 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* 1 (* (sin th) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
11.529 * * * * [progress]: [ 153 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (/ (* (sin th) 1) (/ (hypot (sin ky) (sin kx)) (sin ky))))>
11.529 * * * * [progress]: [ 154 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (posit16->real (real->posit16 (* (sin th) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
11.529 * * * * [progress]: [ 155 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky))) (sin th)))>
11.529 * * * * [progress]: [ 156 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (log1p (expm1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
11.529 * * * * [progress]: [ 157 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (expm1 (log1p (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
11.529 * * * * [progress]: [ 158 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (pow (/ (hypot (sin ky) (sin kx)) (sin ky)) 1))))>
11.529 * * * * [progress]: [ 159 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (exp (- (log (hypot (sin ky) (sin kx))) (log (sin ky)))))))>
11.529 * * * * [progress]: [ 160 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (exp (log (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
11.529 * * * * [progress]: [ 161 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (log (exp (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
11.529 * * * * [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)))))))>
11.529 * * * * [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)))))))>
11.529 * * * * [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)))))))>
11.529 * * * * [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)))))))>
11.529 * * * * [progress]: [ 166 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (/ (- (hypot (sin ky) (sin kx))) (- (sin ky))))))>
11.529 * * * * [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)))))))>
11.529 * * * * [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)))))))>
11.529 * * * * [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))))))>
11.529 * * * * [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)))))))>
11.529 * * * * [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)))))))>
11.529 * * * * [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))))))>
11.529 * * * * [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)))))))>
11.529 * * * * [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)))))))>
11.529 * * * * [progress]: [ 175 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (* (/ 1 1) (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
11.529 * * * * [progress]: [ 176 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (* 1 (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
11.529 * * * * [progress]: [ 177 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (* (hypot (sin ky) (sin kx)) (/ 1 (sin ky))))))>
11.530 * * * * [progress]: [ 178 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (/ 1 (/ (sin ky) (hypot (sin ky) (sin kx)))))))>
11.530 * * * * [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))))))>
11.530 * * * * [progress]: [ 180 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (/ (/ (hypot (sin ky) (sin kx)) (sqrt (sin ky))) (sqrt (sin ky))))))>
11.530 * * * * [progress]: [ 181 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (/ (/ (hypot (sin ky) (sin kx)) 1) (sin ky)))))>
11.530 * * * * [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))))))))>
11.530 * * * * [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))))))))>
11.530 * * * * [progress]: [ 184 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (/ 1 (/ (sin ky) (hypot (sin ky) (sin kx)))))))>
11.530 * * * * [progress]: [ 185 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (posit16->real (real->posit16 (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
11.530 * * * * [progress]: [ 186 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (/ (log1p (expm1 (hypot (sin ky) (sin kx)))) (sin ky)))))>
11.530 * * * * [progress]: [ 187 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (/ (expm1 (log1p (hypot (sin ky) (sin kx)))) (sin ky)))))>
11.530 * * * * [progress]: [ 188 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)))))>
11.530 * * * * [progress]: [ 189 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (/ (pow (hypot (sin ky) (sin kx)) 1) (sin ky)))))>
11.530 * * * * [progress]: [ 190 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (/ (exp (log (hypot (sin ky) (sin kx)))) (sin ky)))))>
11.530 * * * * [progress]: [ 191 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (/ (log (exp (hypot (sin ky) (sin kx)))) (sin ky)))))>
11.530 * * * * [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)))))>
11.530 * * * * [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)))))>
11.530 * * * * [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)))))>
11.530 * * * * [progress]: [ 195 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (/ (* 1 (hypot (sin ky) (sin kx))) (sin ky)))))>
11.530 * * * * [progress]: [ 196 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (/ (posit16->real (real->posit16 (hypot (sin ky) (sin kx)))) (sin ky)))))>
11.530 * * * * [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))))))>
11.530 * * * * [progress]: [ 198 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))))>
11.530 * * * * [progress]: [ 199 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))))>
11.530 * * * * [progress]: [ 200 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* 1/6 (* kx (* ky th))))>
11.530 * * * * [progress]: [ 201 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky))))>
11.530 * * * * [progress]: [ 202 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky))))>
11.530 * * * * [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))))))>
11.530 * * * * [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))))))>
11.531 * * * * [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))))))>
11.531 * * * * [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)))))>
11.531 * * * * [progress]: [ 207 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (/ (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) (sin ky)))))>
11.531 * * * * [progress]: [ 208 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (/ (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) (sin ky)))))>
11.533 * [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)))
11.536 * * [simplify]: iteration 0: 280 enodes
11.673 * * [simplify]: iteration 1: 737 enodes
12.034 * * [simplify]: iteration 2: 2173 enodes
13.345 * * [simplify]: iteration complete: 5000 enodes
13.346 * * [simplify]: Extracting #0: cost 107 inf + 0
13.349 * * [simplify]: Extracting #1: cost 642 inf + 2
13.367 * * [simplify]: Extracting #2: cost 957 inf + 4080
13.394 * * [simplify]: Extracting #3: cost 658 inf + 82191
13.456 * * [simplify]: Extracting #4: cost 156 inf + 246781
13.537 * * [simplify]: Extracting #5: cost 10 inf + 299089
13.600 * * [simplify]: Extracting #6: cost 0 inf + 302281
13.679 * [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))
13.700 * * * [progress]: adding candidates to table
14.849 * * [progress]: iteration 4 / 4
14.849 * * * [progress]: picking best candidate
15.023 * * * * [pick]: Picked  #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (/ 1 (sin ky)))))>
15.023 * * * [progress]: localizing error
15.049 * * * [progress]: generating rewritten candidates
15.049 * * * * [progress]: [ 1 / 4 ] rewriting at (2)
15.073 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
15.085 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2)
15.093 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2)
15.104 * * * [progress]: generating series expansions
15.104 * * * * [progress]: [ 1 / 4 ] generating series at (2)
15.104 * [backup-simplify]: Simplify (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (/ 1 (sin ky)))) into (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky)))
15.104 * [approximate]: Taking taylor expansion of (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky))) in (th kx ky) around 0
15.104 * [taylor]: Taking taylor expansion of (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky))) in ky
15.104 * [taylor]: Taking taylor expansion of (* (sin th) (sin ky)) in ky
15.104 * [taylor]: Taking taylor expansion of (sin th) in ky
15.104 * [taylor]: Taking taylor expansion of th in ky
15.104 * [backup-simplify]: Simplify th into th
15.104 * [backup-simplify]: Simplify (sin th) into (sin th)
15.104 * [backup-simplify]: Simplify (cos th) into (cos th)
15.104 * [taylor]: Taking taylor expansion of (sin ky) in ky
15.104 * [taylor]: Taking taylor expansion of ky in ky
15.104 * [backup-simplify]: Simplify 0 into 0
15.104 * [backup-simplify]: Simplify 1 into 1
15.104 * [taylor]: Taking taylor expansion of (hypot (sin kx) (sin ky)) in ky
15.104 * [taylor]: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
15.104 * [taylor]: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in ky
15.104 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
15.104 * [taylor]: Taking taylor expansion of (sin kx) in ky
15.104 * [taylor]: Taking taylor expansion of kx in ky
15.104 * [backup-simplify]: Simplify kx into kx
15.104 * [backup-simplify]: Simplify (sin kx) into (sin kx)
15.104 * [backup-simplify]: Simplify (cos kx) into (cos kx)
15.104 * [taylor]: Taking taylor expansion of (sin kx) in ky
15.104 * [taylor]: Taking taylor expansion of kx in ky
15.104 * [backup-simplify]: Simplify kx into kx
15.104 * [backup-simplify]: Simplify (sin kx) into (sin kx)
15.104 * [backup-simplify]: Simplify (cos kx) into (cos kx)
15.104 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
15.104 * [taylor]: Taking taylor expansion of (sin ky) in ky
15.104 * [taylor]: Taking taylor expansion of ky in ky
15.104 * [backup-simplify]: Simplify 0 into 0
15.104 * [backup-simplify]: Simplify 1 into 1
15.104 * [taylor]: Taking taylor expansion of (sin ky) in ky
15.104 * [taylor]: Taking taylor expansion of ky in ky
15.104 * [backup-simplify]: Simplify 0 into 0
15.104 * [backup-simplify]: Simplify 1 into 1
15.105 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
15.105 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
15.105 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
15.105 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
15.105 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
15.105 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
15.105 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
15.105 * [backup-simplify]: Simplify (* 0 0) into 0
15.105 * [backup-simplify]: Simplify (+ (pow (sin kx) 2) 0) into (pow (sin kx) 2)
15.105 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
15.106 * [backup-simplify]: Simplify (+ 0) into 0
15.106 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
15.106 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.107 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
15.107 * [backup-simplify]: Simplify (+ 0 0) into 0
15.107 * [backup-simplify]: Simplify (+ 0) into 0
15.108 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
15.108 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.108 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
15.109 * [backup-simplify]: Simplify (+ 0 0) into 0
15.109 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
15.109 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.109 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.110 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
15.110 * [backup-simplify]: Simplify (+ 0 0) into 0
15.110 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
15.110 * [backup-simplify]: Simplify (* (sin th) 1) into (sin th)
15.110 * [backup-simplify]: Simplify (* (cos th) 0) into 0
15.110 * [backup-simplify]: Simplify (+ (sin th) 0) into (sin th)
15.110 * [backup-simplify]: Simplify (* (sin th) 0) into 0
15.111 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.111 * [backup-simplify]: Simplify (+ 0) into 0
15.111 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 1)) into 0
15.112 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.112 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 0)) into 0
15.112 * [backup-simplify]: Simplify (+ 0 0) into 0
15.113 * [backup-simplify]: Simplify (+ (* (sin th) 1) (* 0 0)) into (sin th)
15.113 * [backup-simplify]: Simplify (/ (sin th) (sin kx)) into (/ (sin th) (sin kx))
15.113 * [taylor]: Taking taylor expansion of (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky))) in kx
15.113 * [taylor]: Taking taylor expansion of (* (sin th) (sin ky)) in kx
15.113 * [taylor]: Taking taylor expansion of (sin th) in kx
15.113 * [taylor]: Taking taylor expansion of th in kx
15.113 * [backup-simplify]: Simplify th into th
15.113 * [backup-simplify]: Simplify (sin th) into (sin th)
15.113 * [backup-simplify]: Simplify (cos th) into (cos th)
15.113 * [taylor]: Taking taylor expansion of (sin ky) in kx
15.113 * [taylor]: Taking taylor expansion of ky in kx
15.113 * [backup-simplify]: Simplify ky into ky
15.113 * [backup-simplify]: Simplify (sin ky) into (sin ky)
15.113 * [backup-simplify]: Simplify (cos ky) into (cos ky)
15.113 * [taylor]: Taking taylor expansion of (hypot (sin kx) (sin ky)) in kx
15.113 * [taylor]: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
15.113 * [taylor]: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in kx
15.113 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in kx
15.113 * [taylor]: Taking taylor expansion of (sin kx) in kx
15.113 * [taylor]: Taking taylor expansion of kx in kx
15.113 * [backup-simplify]: Simplify 0 into 0
15.113 * [backup-simplify]: Simplify 1 into 1
15.113 * [taylor]: Taking taylor expansion of (sin kx) in kx
15.113 * [taylor]: Taking taylor expansion of kx in kx
15.113 * [backup-simplify]: Simplify 0 into 0
15.113 * [backup-simplify]: Simplify 1 into 1
15.113 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in kx
15.113 * [taylor]: Taking taylor expansion of (sin ky) in kx
15.113 * [taylor]: Taking taylor expansion of ky in kx
15.113 * [backup-simplify]: Simplify ky into ky
15.113 * [backup-simplify]: Simplify (sin ky) into (sin ky)
15.113 * [backup-simplify]: Simplify (cos ky) into (cos ky)
15.113 * [taylor]: Taking taylor expansion of (sin ky) in kx
15.113 * [taylor]: Taking taylor expansion of ky in kx
15.113 * [backup-simplify]: Simplify ky into ky
15.113 * [backup-simplify]: Simplify (sin ky) into (sin ky)
15.113 * [backup-simplify]: Simplify (cos ky) into (cos ky)
15.114 * [backup-simplify]: Simplify (* 0 0) into 0
15.114 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
15.114 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
15.114 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
15.114 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
15.114 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
15.114 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
15.114 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
15.114 * [backup-simplify]: Simplify (+ 0 (pow (sin ky) 2)) into (pow (sin ky) 2)
15.114 * [backup-simplify]: Simplify (sqrt (pow (sin ky) 2)) into (sin ky)
15.114 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.115 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.115 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
15.115 * [backup-simplify]: Simplify (+ 0) into 0
15.116 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
15.116 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.117 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
15.117 * [backup-simplify]: Simplify (+ 0 0) into 0
15.117 * [backup-simplify]: Simplify (+ 0) into 0
15.117 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
15.118 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.118 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
15.118 * [backup-simplify]: Simplify (+ 0 0) into 0
15.118 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
15.119 * [backup-simplify]: Simplify (+ 0 0) into 0
15.119 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin ky) 2)))) into 0
15.119 * [backup-simplify]: Simplify (* (sin th) 1) into (sin th)
15.119 * [backup-simplify]: Simplify (* (cos th) 0) into 0
15.119 * [backup-simplify]: Simplify (+ (sin th) 0) into (sin th)
15.119 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
15.119 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
15.119 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
15.119 * [backup-simplify]: Simplify (* (sin th) (sin ky)) into (* (sin th) (sin ky))
15.119 * [backup-simplify]: Simplify (/ (* (sin th) (sin ky)) (sin ky)) into (sin th)
15.119 * [taylor]: Taking taylor expansion of (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky))) in th
15.119 * [taylor]: Taking taylor expansion of (* (sin th) (sin ky)) in th
15.119 * [taylor]: Taking taylor expansion of (sin th) in th
15.119 * [taylor]: Taking taylor expansion of th in th
15.119 * [backup-simplify]: Simplify 0 into 0
15.119 * [backup-simplify]: Simplify 1 into 1
15.119 * [taylor]: Taking taylor expansion of (sin ky) in th
15.119 * [taylor]: Taking taylor expansion of ky in th
15.119 * [backup-simplify]: Simplify ky into ky
15.119 * [backup-simplify]: Simplify (sin ky) into (sin ky)
15.119 * [backup-simplify]: Simplify (cos ky) into (cos ky)
15.119 * [taylor]: Taking taylor expansion of (hypot (sin kx) (sin ky)) in th
15.119 * [taylor]: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
15.119 * [taylor]: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in th
15.119 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in th
15.119 * [taylor]: Taking taylor expansion of (sin kx) in th
15.119 * [taylor]: Taking taylor expansion of kx in th
15.119 * [backup-simplify]: Simplify kx into kx
15.119 * [backup-simplify]: Simplify (sin kx) into (sin kx)
15.119 * [backup-simplify]: Simplify (cos kx) into (cos kx)
15.119 * [taylor]: Taking taylor expansion of (sin kx) in th
15.120 * [taylor]: Taking taylor expansion of kx in th
15.120 * [backup-simplify]: Simplify kx into kx
15.120 * [backup-simplify]: Simplify (sin kx) into (sin kx)
15.120 * [backup-simplify]: Simplify (cos kx) into (cos kx)
15.120 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in th
15.120 * [taylor]: Taking taylor expansion of (sin ky) in th
15.120 * [taylor]: Taking taylor expansion of ky in th
15.120 * [backup-simplify]: Simplify ky into ky
15.120 * [backup-simplify]: Simplify (sin ky) into (sin ky)
15.120 * [backup-simplify]: Simplify (cos ky) into (cos ky)
15.120 * [taylor]: Taking taylor expansion of (sin ky) in th
15.120 * [taylor]: Taking taylor expansion of ky in th
15.120 * [backup-simplify]: Simplify ky into ky
15.120 * [backup-simplify]: Simplify (sin ky) into (sin ky)
15.120 * [backup-simplify]: Simplify (cos ky) into (cos ky)
15.120 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
15.120 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
15.120 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
15.120 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
15.120 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
15.120 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
15.120 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
15.120 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
15.120 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
15.120 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
15.120 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
15.120 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
15.120 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
15.120 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
15.120 * [backup-simplify]: Simplify (+ (pow (sin kx) 2) (pow (sin ky) 2)) into (+ (pow (sin ky) 2) (pow (sin kx) 2))
15.121 * [backup-simplify]: Simplify (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) into (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))
15.121 * [backup-simplify]: Simplify (+ 0) into 0
15.121 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
15.122 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.122 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
15.122 * [backup-simplify]: Simplify (+ 0 0) into 0
15.122 * [backup-simplify]: Simplify (+ 0) into 0
15.123 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
15.123 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.123 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
15.124 * [backup-simplify]: Simplify (+ 0 0) into 0
15.124 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
15.124 * [backup-simplify]: Simplify (+ 0) into 0
15.124 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
15.125 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.125 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
15.125 * [backup-simplify]: Simplify (+ 0 0) into 0
15.126 * [backup-simplify]: Simplify (+ 0) into 0
15.126 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
15.126 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.127 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
15.127 * [backup-simplify]: Simplify (+ 0 0) into 0
15.127 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
15.127 * [backup-simplify]: Simplify (+ 0 0) into 0
15.127 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))) into 0
15.127 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
15.127 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
15.127 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
15.127 * [backup-simplify]: Simplify (* 0 (sin ky)) into 0
15.128 * [backup-simplify]: Simplify (+ 0) into 0
15.128 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
15.129 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.129 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
15.130 * [backup-simplify]: Simplify (+ 0 0) into 0
15.131 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.131 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin ky))) into (sin ky)
15.131 * [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))
15.131 * [taylor]: Taking taylor expansion of (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky))) in th
15.131 * [taylor]: Taking taylor expansion of (* (sin th) (sin ky)) in th
15.131 * [taylor]: Taking taylor expansion of (sin th) in th
15.131 * [taylor]: Taking taylor expansion of th in th
15.131 * [backup-simplify]: Simplify 0 into 0
15.131 * [backup-simplify]: Simplify 1 into 1
15.131 * [taylor]: Taking taylor expansion of (sin ky) in th
15.132 * [taylor]: Taking taylor expansion of ky in th
15.132 * [backup-simplify]: Simplify ky into ky
15.132 * [backup-simplify]: Simplify (sin ky) into (sin ky)
15.132 * [backup-simplify]: Simplify (cos ky) into (cos ky)
15.132 * [taylor]: Taking taylor expansion of (hypot (sin kx) (sin ky)) in th
15.132 * [taylor]: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
15.132 * [taylor]: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in th
15.132 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in th
15.132 * [taylor]: Taking taylor expansion of (sin kx) in th
15.132 * [taylor]: Taking taylor expansion of kx in th
15.132 * [backup-simplify]: Simplify kx into kx
15.132 * [backup-simplify]: Simplify (sin kx) into (sin kx)
15.132 * [backup-simplify]: Simplify (cos kx) into (cos kx)
15.132 * [taylor]: Taking taylor expansion of (sin kx) in th
15.132 * [taylor]: Taking taylor expansion of kx in th
15.132 * [backup-simplify]: Simplify kx into kx
15.132 * [backup-simplify]: Simplify (sin kx) into (sin kx)
15.132 * [backup-simplify]: Simplify (cos kx) into (cos kx)
15.132 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in th
15.132 * [taylor]: Taking taylor expansion of (sin ky) in th
15.132 * [taylor]: Taking taylor expansion of ky in th
15.132 * [backup-simplify]: Simplify ky into ky
15.132 * [backup-simplify]: Simplify (sin ky) into (sin ky)
15.132 * [backup-simplify]: Simplify (cos ky) into (cos ky)
15.132 * [taylor]: Taking taylor expansion of (sin ky) in th
15.132 * [taylor]: Taking taylor expansion of ky in th
15.133 * [backup-simplify]: Simplify ky into ky
15.133 * [backup-simplify]: Simplify (sin ky) into (sin ky)
15.133 * [backup-simplify]: Simplify (cos ky) into (cos ky)
15.133 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
15.133 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
15.133 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
15.133 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
15.133 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
15.133 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
15.133 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
15.133 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
15.133 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
15.133 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
15.133 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
15.133 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
15.134 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
15.134 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
15.134 * [backup-simplify]: Simplify (+ (pow (sin kx) 2) (pow (sin ky) 2)) into (+ (pow (sin ky) 2) (pow (sin kx) 2))
15.134 * [backup-simplify]: Simplify (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) into (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))
15.134 * [backup-simplify]: Simplify (+ 0) into 0
15.135 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
15.136 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.136 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
15.137 * [backup-simplify]: Simplify (+ 0 0) into 0
15.137 * [backup-simplify]: Simplify (+ 0) into 0
15.137 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
15.138 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.139 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
15.139 * [backup-simplify]: Simplify (+ 0 0) into 0
15.139 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
15.140 * [backup-simplify]: Simplify (+ 0) into 0
15.140 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
15.141 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.141 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
15.142 * [backup-simplify]: Simplify (+ 0 0) into 0
15.142 * [backup-simplify]: Simplify (+ 0) into 0
15.142 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
15.143 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.144 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
15.144 * [backup-simplify]: Simplify (+ 0 0) into 0
15.144 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
15.144 * [backup-simplify]: Simplify (+ 0 0) into 0
15.145 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))) into 0
15.145 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
15.145 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
15.145 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
15.145 * [backup-simplify]: Simplify (* 0 (sin ky)) into 0
15.145 * [backup-simplify]: Simplify (+ 0) into 0
15.146 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
15.147 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.147 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
15.148 * [backup-simplify]: Simplify (+ 0 0) into 0
15.148 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.149 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin ky))) into (sin ky)
15.149 * [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))
15.149 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)) in kx
15.149 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) in kx
15.149 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2))) in kx
15.149 * [taylor]: Taking taylor expansion of (+ (pow (sin ky) 2) (pow (sin kx) 2)) in kx
15.149 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in kx
15.149 * [taylor]: Taking taylor expansion of (sin ky) in kx
15.149 * [taylor]: Taking taylor expansion of ky in kx
15.149 * [backup-simplify]: Simplify ky into ky
15.149 * [backup-simplify]: Simplify (sin ky) into (sin ky)
15.150 * [backup-simplify]: Simplify (cos ky) into (cos ky)
15.150 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
15.150 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
15.150 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
15.150 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in kx
15.150 * [taylor]: Taking taylor expansion of (sin kx) in kx
15.150 * [taylor]: Taking taylor expansion of kx in kx
15.150 * [backup-simplify]: Simplify 0 into 0
15.150 * [backup-simplify]: Simplify 1 into 1
15.151 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.151 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
15.151 * [backup-simplify]: Simplify (+ (pow (sin ky) 2) 0) into (pow (sin ky) 2)
15.151 * [backup-simplify]: Simplify (/ 1 (pow (sin ky) 2)) into (/ 1 (pow (sin ky) 2))
15.151 * [backup-simplify]: Simplify (sqrt (/ 1 (pow (sin ky) 2))) into (/ 1 (sin ky))
15.151 * [backup-simplify]: Simplify (+ 0) into 0
15.152 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
15.153 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.153 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
15.154 * [backup-simplify]: Simplify (+ 0 0) into 0
15.154 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
15.154 * [backup-simplify]: Simplify (+ 0 0) into 0
15.154 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sin ky) 2)) (/ 0 (pow (sin ky) 2))))) into 0
15.154 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow (sin ky) 2))))) into 0
15.154 * [taylor]: Taking taylor expansion of (sin ky) in kx
15.155 * [taylor]: Taking taylor expansion of ky in kx
15.155 * [backup-simplify]: Simplify ky into ky
15.155 * [backup-simplify]: Simplify (sin ky) into (sin ky)
15.155 * [backup-simplify]: Simplify (cos ky) into (cos ky)
15.155 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
15.155 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
15.155 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
15.155 * [backup-simplify]: Simplify (* (/ 1 (sin ky)) (sin ky)) into 1
15.155 * [taylor]: Taking taylor expansion of 1 in ky
15.155 * [backup-simplify]: Simplify 1 into 1
15.155 * [backup-simplify]: Simplify 0 into 0
15.156 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.157 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 1))) into 0
15.158 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.158 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (* 0 0))) into 0
15.158 * [backup-simplify]: Simplify (+ 0 0) into 0
15.159 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.160 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin ky)))) into 0
15.161 * [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
15.161 * [taylor]: Taking taylor expansion of 0 in kx
15.161 * [backup-simplify]: Simplify 0 into 0
15.161 * [taylor]: Taking taylor expansion of 0 in ky
15.161 * [backup-simplify]: Simplify 0 into 0
15.161 * [backup-simplify]: Simplify 0 into 0
15.161 * [backup-simplify]: Simplify (+ 0) into 0
15.162 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
15.163 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.163 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
15.163 * [backup-simplify]: Simplify (+ 0 0) into 0
15.164 * [backup-simplify]: Simplify (+ (* (/ 1 (sin ky)) 0) (* 0 (sin ky))) into 0
15.164 * [taylor]: Taking taylor expansion of 0 in ky
15.164 * [backup-simplify]: Simplify 0 into 0
15.164 * [backup-simplify]: Simplify 0 into 0
15.164 * [backup-simplify]: Simplify 0 into 0
15.165 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
15.166 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.167 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
15.168 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
15.169 * [backup-simplify]: Simplify (+ 0 0) into 0
15.170 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
15.171 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin ky))))) into (- (* 1/6 (sin ky)))
15.172 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.173 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
15.174 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.174 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
15.175 * [backup-simplify]: Simplify (+ 0 0) into 0
15.176 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.176 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
15.177 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.178 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
15.178 * [backup-simplify]: Simplify (+ 0 0) into 0
15.179 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 (sin kx)))) into 0
15.180 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.180 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 1))) into 0
15.181 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.182 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (* 0 0))) into 0
15.182 * [backup-simplify]: Simplify (+ 0 0) into 0
15.183 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.184 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 1))) into 0
15.184 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.185 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (* 0 0))) into 0
15.185 * [backup-simplify]: Simplify (+ 0 0) into 0
15.186 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 (sin ky)))) into 0
15.190 * [backup-simplify]: Simplify (+ 0 0) into 0
15.192 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))) into 0
15.192 * [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))))
15.192 * [taylor]: Taking taylor expansion of (- (* 1/6 (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)))) in kx
15.192 * [taylor]: Taking taylor expansion of (* 1/6 (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))) in kx
15.192 * [taylor]: Taking taylor expansion of 1/6 in kx
15.192 * [backup-simplify]: Simplify 1/6 into 1/6
15.192 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)) in kx
15.192 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) in kx
15.192 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2))) in kx
15.192 * [taylor]: Taking taylor expansion of (+ (pow (sin ky) 2) (pow (sin kx) 2)) in kx
15.192 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in kx
15.192 * [taylor]: Taking taylor expansion of (sin ky) in kx
15.192 * [taylor]: Taking taylor expansion of ky in kx
15.192 * [backup-simplify]: Simplify ky into ky
15.193 * [backup-simplify]: Simplify (sin ky) into (sin ky)
15.193 * [backup-simplify]: Simplify (cos ky) into (cos ky)
15.193 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
15.193 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
15.193 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
15.193 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in kx
15.193 * [taylor]: Taking taylor expansion of (sin kx) in kx
15.193 * [taylor]: Taking taylor expansion of kx in kx
15.193 * [backup-simplify]: Simplify 0 into 0
15.193 * [backup-simplify]: Simplify 1 into 1
15.193 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.194 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
15.194 * [backup-simplify]: Simplify (+ (pow (sin ky) 2) 0) into (pow (sin ky) 2)
15.194 * [backup-simplify]: Simplify (/ 1 (pow (sin ky) 2)) into (/ 1 (pow (sin ky) 2))
15.194 * [backup-simplify]: Simplify (sqrt (/ 1 (pow (sin ky) 2))) into (/ 1 (sin ky))
15.194 * [backup-simplify]: Simplify (+ 0) into 0
15.194 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
15.195 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.195 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
15.195 * [backup-simplify]: Simplify (+ 0 0) into 0
15.195 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
15.196 * [backup-simplify]: Simplify (+ 0 0) into 0
15.196 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sin ky) 2)) (/ 0 (pow (sin ky) 2))))) into 0
15.196 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow (sin ky) 2))))) into 0
15.196 * [taylor]: Taking taylor expansion of (sin ky) in kx
15.196 * [taylor]: Taking taylor expansion of ky in kx
15.196 * [backup-simplify]: Simplify ky into ky
15.196 * [backup-simplify]: Simplify (sin ky) into (sin ky)
15.196 * [backup-simplify]: Simplify (cos ky) into (cos ky)
15.196 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
15.196 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
15.196 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
15.196 * [backup-simplify]: Simplify (* (/ 1 (sin ky)) (sin ky)) into 1
15.197 * [backup-simplify]: Simplify (* 1/6 1) into 1/6
15.197 * [backup-simplify]: Simplify (- 1/6) into -1/6
15.197 * [taylor]: Taking taylor expansion of -1/6 in ky
15.197 * [backup-simplify]: Simplify -1/6 into -1/6
15.197 * [backup-simplify]: Simplify 0 into 0
15.197 * [taylor]: Taking taylor expansion of 0 in ky
15.197 * [backup-simplify]: Simplify 0 into 0
15.197 * [backup-simplify]: Simplify 0 into 0
15.197 * [backup-simplify]: Simplify 0 into 0
15.197 * [backup-simplify]: Simplify (* (/ (sin (/ 1 th)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) (/ 1 (/ 1 (sin (/ 1 ky))))) into (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 kx)) (sin (/ 1 ky))))
15.197 * [approximate]: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) in (th kx ky) around 0
15.197 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) in ky
15.197 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in ky
15.197 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in ky
15.197 * [taylor]: Taking taylor expansion of (/ 1 th) in ky
15.197 * [taylor]: Taking taylor expansion of th in ky
15.198 * [backup-simplify]: Simplify th into th
15.198 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
15.198 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
15.198 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
15.198 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
15.198 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
15.198 * [taylor]: Taking taylor expansion of ky in ky
15.198 * [backup-simplify]: Simplify 0 into 0
15.198 * [backup-simplify]: Simplify 1 into 1
15.198 * [backup-simplify]: Simplify (/ 1 1) into 1
15.198 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.198 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in ky
15.198 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))))
15.198 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in ky
15.198 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
15.198 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
15.198 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
15.198 * [taylor]: Taking taylor expansion of kx in ky
15.198 * [backup-simplify]: Simplify kx into kx
15.198 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
15.198 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
15.198 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
15.198 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
15.198 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
15.198 * [taylor]: Taking taylor expansion of kx in ky
15.198 * [backup-simplify]: Simplify kx into kx
15.198 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
15.199 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
15.199 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
15.199 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
15.199 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
15.199 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
15.199 * [taylor]: Taking taylor expansion of ky in ky
15.199 * [backup-simplify]: Simplify 0 into 0
15.199 * [backup-simplify]: Simplify 1 into 1
15.199 * [backup-simplify]: Simplify (/ 1 1) into 1
15.199 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.199 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
15.199 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
15.199 * [taylor]: Taking taylor expansion of ky in ky
15.199 * [backup-simplify]: Simplify 0 into 0
15.199 * [backup-simplify]: Simplify 1 into 1
15.199 * [backup-simplify]: Simplify (/ 1 1) into 1
15.199 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.199 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
15.199 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
15.199 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
15.200 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
15.200 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
15.200 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
15.200 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
15.200 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
15.200 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
15.200 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
15.200 * [backup-simplify]: Simplify (+ 0) into 0
15.201 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
15.201 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
15.201 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.202 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
15.202 * [backup-simplify]: Simplify (+ 0 0) into 0
15.202 * [backup-simplify]: Simplify (+ 0) into 0
15.202 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
15.202 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
15.203 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.203 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
15.203 * [backup-simplify]: Simplify (+ 0 0) into 0
15.203 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
15.204 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
15.204 * [backup-simplify]: Simplify (+ 0 0) into 0
15.204 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
15.204 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
15.204 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
15.204 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
15.204 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
15.204 * [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)))))
15.204 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) in kx
15.204 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in kx
15.205 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in kx
15.205 * [taylor]: Taking taylor expansion of (/ 1 th) in kx
15.205 * [taylor]: Taking taylor expansion of th in kx
15.205 * [backup-simplify]: Simplify th into th
15.205 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
15.205 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
15.205 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
15.205 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
15.205 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
15.205 * [taylor]: Taking taylor expansion of ky in kx
15.205 * [backup-simplify]: Simplify ky into ky
15.205 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
15.205 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.205 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
15.205 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in kx
15.205 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))))
15.205 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in kx
15.205 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in kx
15.205 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
15.205 * [taylor]: Taking taylor expansion of (/ 1 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
15.205 * [backup-simplify]: Simplify (/ 1 1) into 1
15.205 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
15.205 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
15.205 * [taylor]: Taking taylor expansion of (/ 1 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 1) into 1
15.206 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
15.206 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in kx
15.206 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
15.206 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
15.206 * [taylor]: Taking taylor expansion of ky in kx
15.206 * [backup-simplify]: Simplify ky into ky
15.206 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
15.206 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.206 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
15.206 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
15.206 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
15.206 * [taylor]: Taking taylor expansion of ky in kx
15.206 * [backup-simplify]: Simplify ky into ky
15.206 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
15.206 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.206 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
15.206 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
15.206 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
15.206 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
15.206 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
15.206 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
15.206 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
15.207 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
15.207 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
15.207 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
15.207 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
15.207 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
15.207 * [backup-simplify]: Simplify (+ 0) into 0
15.208 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
15.208 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
15.208 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.208 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
15.209 * [backup-simplify]: Simplify (+ 0 0) into 0
15.209 * [backup-simplify]: Simplify (+ 0) into 0
15.209 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
15.209 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
15.210 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.210 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
15.210 * [backup-simplify]: Simplify (+ 0 0) into 0
15.210 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
15.211 * [backup-simplify]: Simplify (+ 0 0) into 0
15.211 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
15.211 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
15.211 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
15.211 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
15.211 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
15.211 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
15.211 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
15.211 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
15.211 * [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)))))
15.212 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) in th
15.212 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in th
15.212 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in th
15.212 * [taylor]: Taking taylor expansion of (/ 1 th) in th
15.212 * [taylor]: Taking taylor expansion of th in th
15.212 * [backup-simplify]: Simplify 0 into 0
15.212 * [backup-simplify]: Simplify 1 into 1
15.212 * [backup-simplify]: Simplify (/ 1 1) into 1
15.212 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
15.212 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
15.212 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
15.212 * [taylor]: Taking taylor expansion of ky in th
15.212 * [backup-simplify]: Simplify ky into ky
15.212 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
15.212 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.212 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
15.212 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in th
15.212 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))))
15.212 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in th
15.212 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in th
15.212 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in th
15.212 * [taylor]: Taking taylor expansion of (/ 1 kx) in th
15.212 * [taylor]: Taking taylor expansion of kx in th
15.212 * [backup-simplify]: Simplify kx into kx
15.212 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
15.212 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
15.212 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
15.212 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in th
15.212 * [taylor]: Taking taylor expansion of (/ 1 kx) in th
15.212 * [taylor]: Taking taylor expansion of kx in th
15.212 * [backup-simplify]: Simplify kx into kx
15.213 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
15.213 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
15.213 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
15.213 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in th
15.213 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
15.213 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
15.213 * [taylor]: Taking taylor expansion of ky in th
15.213 * [backup-simplify]: Simplify ky into ky
15.213 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
15.213 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.213 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
15.213 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
15.213 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
15.213 * [taylor]: Taking taylor expansion of ky in th
15.213 * [backup-simplify]: Simplify ky into ky
15.213 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
15.213 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.213 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
15.213 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
15.213 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
15.213 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
15.213 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
15.213 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
15.213 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
15.213 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
15.213 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
15.213 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
15.214 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
15.214 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
15.214 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
15.214 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
15.214 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
15.214 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
15.214 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
15.214 * [backup-simplify]: Simplify (+ 0) into 0
15.215 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
15.215 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
15.215 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.215 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
15.216 * [backup-simplify]: Simplify (+ 0 0) into 0
15.216 * [backup-simplify]: Simplify (+ 0) into 0
15.216 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
15.216 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
15.217 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.217 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
15.217 * [backup-simplify]: Simplify (+ 0 0) into 0
15.217 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
15.218 * [backup-simplify]: Simplify (+ 0) into 0
15.218 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
15.218 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
15.219 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.219 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
15.219 * [backup-simplify]: Simplify (+ 0 0) into 0
15.219 * [backup-simplify]: Simplify (+ 0) into 0
15.220 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
15.220 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
15.220 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.221 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
15.221 * [backup-simplify]: Simplify (+ 0 0) into 0
15.221 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
15.221 * [backup-simplify]: Simplify (+ 0 0) into 0
15.221 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
15.221 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
15.221 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
15.221 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
15.222 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
15.222 * [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)))))
15.222 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) in th
15.222 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in th
15.222 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in th
15.222 * [taylor]: Taking taylor expansion of (/ 1 th) in th
15.222 * [taylor]: Taking taylor expansion of th in th
15.222 * [backup-simplify]: Simplify 0 into 0
15.222 * [backup-simplify]: Simplify 1 into 1
15.222 * [backup-simplify]: Simplify (/ 1 1) into 1
15.222 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
15.222 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
15.222 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
15.222 * [taylor]: Taking taylor expansion of ky in th
15.222 * [backup-simplify]: Simplify ky into ky
15.222 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
15.222 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.222 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
15.222 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in th
15.222 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))))
15.222 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in th
15.222 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in th
15.222 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in th
15.222 * [taylor]: Taking taylor expansion of (/ 1 kx) in th
15.223 * [taylor]: Taking taylor expansion of kx in th
15.223 * [backup-simplify]: Simplify kx into kx
15.223 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
15.223 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
15.223 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
15.223 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in th
15.223 * [taylor]: Taking taylor expansion of (/ 1 kx) in th
15.223 * [taylor]: Taking taylor expansion of kx in th
15.223 * [backup-simplify]: Simplify kx into kx
15.223 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
15.223 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
15.223 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
15.223 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in th
15.223 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
15.223 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
15.223 * [taylor]: Taking taylor expansion of ky in th
15.223 * [backup-simplify]: Simplify ky into ky
15.223 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
15.223 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.223 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
15.223 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
15.223 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
15.223 * [taylor]: Taking taylor expansion of ky in th
15.223 * [backup-simplify]: Simplify ky into ky
15.223 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
15.223 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.223 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
15.223 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
15.223 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
15.223 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
15.223 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
15.223 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
15.224 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
15.224 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
15.224 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
15.224 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
15.224 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
15.224 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
15.224 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
15.224 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
15.224 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
15.224 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
15.224 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
15.225 * [backup-simplify]: Simplify (+ 0) into 0
15.225 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
15.225 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
15.225 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.226 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
15.226 * [backup-simplify]: Simplify (+ 0 0) into 0
15.226 * [backup-simplify]: Simplify (+ 0) into 0
15.227 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
15.227 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
15.227 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.227 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
15.228 * [backup-simplify]: Simplify (+ 0 0) into 0
15.228 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
15.228 * [backup-simplify]: Simplify (+ 0) into 0
15.228 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
15.228 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
15.229 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.229 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
15.229 * [backup-simplify]: Simplify (+ 0 0) into 0
15.230 * [backup-simplify]: Simplify (+ 0) into 0
15.230 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
15.230 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
15.231 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.231 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
15.231 * [backup-simplify]: Simplify (+ 0 0) into 0
15.231 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
15.231 * [backup-simplify]: Simplify (+ 0 0) into 0
15.232 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
15.232 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
15.232 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
15.232 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
15.232 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
15.232 * [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)))))
15.232 * [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
15.232 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in kx
15.232 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in kx
15.232 * [taylor]: Taking taylor expansion of (/ 1 th) in kx
15.232 * [taylor]: Taking taylor expansion of th in kx
15.232 * [backup-simplify]: Simplify th into th
15.232 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
15.232 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
15.232 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
15.232 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
15.232 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
15.232 * [taylor]: Taking taylor expansion of ky in kx
15.233 * [backup-simplify]: Simplify ky into ky
15.233 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
15.233 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.233 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
15.233 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in kx
15.233 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx
15.233 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx
15.233 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx
15.233 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
15.233 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
15.233 * [taylor]: Taking taylor expansion of kx in kx
15.233 * [backup-simplify]: Simplify 0 into 0
15.233 * [backup-simplify]: Simplify 1 into 1
15.233 * [backup-simplify]: Simplify (/ 1 1) into 1
15.233 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
15.233 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx
15.233 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
15.233 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
15.233 * [taylor]: Taking taylor expansion of ky in kx
15.233 * [backup-simplify]: Simplify ky into ky
15.233 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
15.233 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.233 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
15.233 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
15.233 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
15.234 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
15.234 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
15.234 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
15.234 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
15.234 * [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)))
15.234 * [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))))
15.234 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
15.234 * [backup-simplify]: Simplify (+ 0) into 0
15.235 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
15.235 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
15.235 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.236 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
15.236 * [backup-simplify]: Simplify (+ 0 0) into 0
15.236 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
15.236 * [backup-simplify]: Simplify (+ 0 0) into 0
15.236 * [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
15.237 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
15.237 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
15.237 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
15.237 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
15.237 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
15.237 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
15.237 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
15.237 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
15.237 * [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)))))
15.237 * [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
15.237 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in ky
15.237 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in ky
15.237 * [taylor]: Taking taylor expansion of (/ 1 th) in ky
15.237 * [taylor]: Taking taylor expansion of th in ky
15.237 * [backup-simplify]: Simplify th into th
15.237 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
15.237 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
15.238 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
15.238 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
15.238 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
15.238 * [taylor]: Taking taylor expansion of ky in ky
15.238 * [backup-simplify]: Simplify 0 into 0
15.238 * [backup-simplify]: Simplify 1 into 1
15.238 * [backup-simplify]: Simplify (/ 1 1) into 1
15.238 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.238 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in ky
15.238 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in ky
15.238 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in ky
15.238 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in ky
15.238 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
15.238 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
15.238 * [taylor]: Taking taylor expansion of kx in ky
15.238 * [backup-simplify]: Simplify kx into kx
15.238 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
15.238 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
15.238 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
15.238 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
15.238 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
15.238 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
15.238 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in ky
15.238 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
15.238 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
15.238 * [taylor]: Taking taylor expansion of ky in ky
15.238 * [backup-simplify]: Simplify 0 into 0
15.238 * [backup-simplify]: Simplify 1 into 1
15.239 * [backup-simplify]: Simplify (/ 1 1) into 1
15.239 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.239 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
15.239 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
15.239 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
15.239 * [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)))
15.239 * [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))))
15.240 * [backup-simplify]: Simplify (+ 0) into 0
15.240 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
15.240 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
15.240 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.241 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
15.241 * [backup-simplify]: Simplify (+ 0 0) into 0
15.241 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
15.241 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
15.241 * [backup-simplify]: Simplify (+ 0 0) into 0
15.242 * [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
15.242 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
15.242 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
15.242 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
15.242 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
15.242 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
15.243 * [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)))))
15.243 * [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)))))
15.243 * [backup-simplify]: Simplify (+ 0) into 0
15.243 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
15.243 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
15.244 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.245 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
15.245 * [backup-simplify]: Simplify (+ 0 0) into 0
15.245 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 (sin (/ 1 ky)))) into 0
15.246 * [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
15.246 * [taylor]: Taking taylor expansion of 0 in kx
15.246 * [backup-simplify]: Simplify 0 into 0
15.246 * [taylor]: Taking taylor expansion of 0 in ky
15.246 * [backup-simplify]: Simplify 0 into 0
15.246 * [backup-simplify]: Simplify 0 into 0
15.247 * [backup-simplify]: Simplify (+ 0) into 0
15.247 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
15.247 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
15.248 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.249 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
15.249 * [backup-simplify]: Simplify (+ 0 0) into 0
15.250 * [backup-simplify]: Simplify (+ 0) into 0
15.250 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 1)) into 0
15.250 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
15.251 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.251 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 0)) into 0
15.252 * [backup-simplify]: Simplify (+ 0 0) into 0
15.252 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 (sin (/ 1 ky)))) into 0
15.252 * [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
15.253 * [taylor]: Taking taylor expansion of 0 in ky
15.253 * [backup-simplify]: Simplify 0 into 0
15.253 * [backup-simplify]: Simplify 0 into 0
15.253 * [backup-simplify]: Simplify (+ 0) into 0
15.254 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 1)) into 0
15.254 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
15.254 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.255 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 0)) into 0
15.255 * [backup-simplify]: Simplify (+ 0 0) into 0
15.255 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 (sin (/ 1 ky)))) into 0
15.256 * [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
15.256 * [backup-simplify]: Simplify 0 into 0
15.257 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.258 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
15.258 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
15.259 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.259 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
15.259 * [backup-simplify]: Simplify (+ 0 0) into 0
15.260 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
15.261 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.262 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
15.262 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
15.263 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.263 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
15.264 * [backup-simplify]: Simplify (+ 0 0) into 0
15.265 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.265 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
15.266 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
15.266 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.267 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
15.267 * [backup-simplify]: Simplify (+ 0 0) into 0
15.268 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
15.269 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.270 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
15.270 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
15.271 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.271 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
15.272 * [backup-simplify]: Simplify (+ 0 0) into 0
15.273 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.274 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
15.274 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
15.275 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.275 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
15.276 * [backup-simplify]: Simplify (+ 0 0) into 0
15.276 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
15.277 * [backup-simplify]: Simplify (+ 0 0) into 0
15.277 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
15.279 * [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
15.279 * [taylor]: Taking taylor expansion of 0 in kx
15.279 * [backup-simplify]: Simplify 0 into 0
15.279 * [taylor]: Taking taylor expansion of 0 in ky
15.279 * [backup-simplify]: Simplify 0 into 0
15.279 * [backup-simplify]: Simplify 0 into 0
15.279 * [taylor]: Taking taylor expansion of 0 in ky
15.279 * [backup-simplify]: Simplify 0 into 0
15.279 * [backup-simplify]: Simplify 0 into 0
15.280 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
15.281 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.281 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
15.281 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
15.282 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.283 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
15.283 * [backup-simplify]: Simplify (+ 0 0) into 0
15.284 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
15.284 * [backup-simplify]: Simplify (+ 0 0) into 0
15.285 * [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
15.286 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
15.287 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.288 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
15.288 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
15.289 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.289 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
15.290 * [backup-simplify]: Simplify (+ 0 0) into 0
15.291 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.291 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
15.292 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
15.292 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.293 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
15.293 * [backup-simplify]: Simplify (+ 0 0) into 0
15.294 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
15.295 * [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
15.295 * [taylor]: Taking taylor expansion of 0 in ky
15.295 * [backup-simplify]: Simplify 0 into 0
15.295 * [backup-simplify]: Simplify 0 into 0
15.295 * [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)))
15.296 * [backup-simplify]: Simplify (* (/ (sin (/ 1 (- th))) (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky))))) (/ 1 (/ 1 (sin (/ 1 (- ky)))))) into (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 kx)) (sin (/ -1 ky))))
15.296 * [approximate]: Taking taylor expansion of (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))) in (th kx ky) around 0
15.296 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))) in ky
15.296 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in ky
15.296 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in ky
15.296 * [taylor]: Taking taylor expansion of (/ -1 th) in ky
15.296 * [taylor]: Taking taylor expansion of -1 in ky
15.296 * [backup-simplify]: Simplify -1 into -1
15.296 * [taylor]: Taking taylor expansion of th in ky
15.296 * [backup-simplify]: Simplify th into th
15.296 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
15.296 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
15.296 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
15.296 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
15.296 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
15.296 * [taylor]: Taking taylor expansion of -1 in ky
15.297 * [backup-simplify]: Simplify -1 into -1
15.297 * [taylor]: Taking taylor expansion of ky in ky
15.297 * [backup-simplify]: Simplify 0 into 0
15.297 * [backup-simplify]: Simplify 1 into 1
15.297 * [backup-simplify]: Simplify (/ -1 1) into -1
15.297 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.297 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 kx)) (sin (/ -1 ky))) in ky
15.297 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))))
15.297 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))) in ky
15.297 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
15.297 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
15.297 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
15.297 * [taylor]: Taking taylor expansion of -1 in ky
15.297 * [backup-simplify]: Simplify -1 into -1
15.297 * [taylor]: Taking taylor expansion of kx in ky
15.298 * [backup-simplify]: Simplify kx into kx
15.298 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
15.298 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
15.298 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
15.298 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
15.298 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
15.298 * [taylor]: Taking taylor expansion of -1 in ky
15.298 * [backup-simplify]: Simplify -1 into -1
15.298 * [taylor]: Taking taylor expansion of kx in ky
15.298 * [backup-simplify]: Simplify kx into kx
15.298 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
15.298 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
15.298 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
15.299 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
15.299 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
15.299 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
15.299 * [taylor]: Taking taylor expansion of -1 in ky
15.299 * [backup-simplify]: Simplify -1 into -1
15.299 * [taylor]: Taking taylor expansion of ky in ky
15.299 * [backup-simplify]: Simplify 0 into 0
15.299 * [backup-simplify]: Simplify 1 into 1
15.299 * [backup-simplify]: Simplify (/ -1 1) into -1
15.299 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.299 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
15.299 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
15.299 * [taylor]: Taking taylor expansion of -1 in ky
15.299 * [backup-simplify]: Simplify -1 into -1
15.299 * [taylor]: Taking taylor expansion of ky in ky
15.299 * [backup-simplify]: Simplify 0 into 0
15.300 * [backup-simplify]: Simplify 1 into 1
15.300 * [backup-simplify]: Simplify (/ -1 1) into -1
15.300 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.300 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
15.300 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
15.300 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
15.300 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
15.301 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
15.301 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
15.301 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
15.301 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
15.301 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
15.301 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
15.302 * [backup-simplify]: Simplify (+ 0) into 0
15.302 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
15.303 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
15.303 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.304 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
15.304 * [backup-simplify]: Simplify (+ 0 0) into 0
15.305 * [backup-simplify]: Simplify (+ 0) into 0
15.305 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
15.305 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
15.306 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.307 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
15.307 * [backup-simplify]: Simplify (+ 0 0) into 0
15.307 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
15.307 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
15.308 * [backup-simplify]: Simplify (+ 0 0) into 0
15.308 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
15.308 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
15.308 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
15.308 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
15.308 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
15.308 * [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)))))
15.308 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))) in kx
15.308 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in kx
15.308 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in kx
15.308 * [taylor]: Taking taylor expansion of (/ -1 th) in kx
15.308 * [taylor]: Taking taylor expansion of -1 in kx
15.308 * [backup-simplify]: Simplify -1 into -1
15.308 * [taylor]: Taking taylor expansion of th in kx
15.308 * [backup-simplify]: Simplify th into th
15.308 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
15.309 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
15.309 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
15.309 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
15.309 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
15.309 * [taylor]: Taking taylor expansion of -1 in kx
15.309 * [backup-simplify]: Simplify -1 into -1
15.309 * [taylor]: Taking taylor expansion of ky in kx
15.309 * [backup-simplify]: Simplify ky into ky
15.309 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
15.309 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.309 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
15.309 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 kx)) (sin (/ -1 ky))) in kx
15.309 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))))
15.309 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))) in kx
15.309 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in kx
15.309 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
15.309 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
15.309 * [taylor]: Taking taylor expansion of -1 in kx
15.309 * [backup-simplify]: Simplify -1 into -1
15.309 * [taylor]: Taking taylor expansion of kx in kx
15.309 * [backup-simplify]: Simplify 0 into 0
15.309 * [backup-simplify]: Simplify 1 into 1
15.309 * [backup-simplify]: Simplify (/ -1 1) into -1
15.309 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
15.309 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
15.309 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
15.309 * [taylor]: Taking taylor expansion of -1 in kx
15.309 * [backup-simplify]: Simplify -1 into -1
15.309 * [taylor]: Taking taylor expansion of kx in kx
15.309 * [backup-simplify]: Simplify 0 into 0
15.309 * [backup-simplify]: Simplify 1 into 1
15.310 * [backup-simplify]: Simplify (/ -1 1) into -1
15.310 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
15.310 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in kx
15.310 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
15.310 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
15.310 * [taylor]: Taking taylor expansion of -1 in kx
15.310 * [backup-simplify]: Simplify -1 into -1
15.310 * [taylor]: Taking taylor expansion of ky in kx
15.310 * [backup-simplify]: Simplify ky into ky
15.310 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
15.310 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.310 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
15.310 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
15.310 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
15.310 * [taylor]: Taking taylor expansion of -1 in kx
15.310 * [backup-simplify]: Simplify -1 into -1
15.310 * [taylor]: Taking taylor expansion of ky in kx
15.310 * [backup-simplify]: Simplify ky into ky
15.310 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
15.310 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.310 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
15.310 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
15.310 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
15.310 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
15.310 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
15.311 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
15.311 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
15.311 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
15.311 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
15.311 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
15.311 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
15.311 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
15.311 * [backup-simplify]: Simplify (+ 0) into 0
15.312 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
15.312 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
15.312 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.313 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
15.313 * [backup-simplify]: Simplify (+ 0 0) into 0
15.315 * [backup-simplify]: Simplify (+ 0) into 0
15.315 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
15.316 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
15.316 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.316 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
15.317 * [backup-simplify]: Simplify (+ 0 0) into 0
15.317 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
15.317 * [backup-simplify]: Simplify (+ 0 0) into 0
15.317 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
15.317 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
15.317 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
15.317 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
15.318 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
15.318 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
15.318 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
15.318 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
15.318 * [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)))))
15.318 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))) in th
15.318 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in th
15.318 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in th
15.318 * [taylor]: Taking taylor expansion of (/ -1 th) in th
15.318 * [taylor]: Taking taylor expansion of -1 in th
15.318 * [backup-simplify]: Simplify -1 into -1
15.318 * [taylor]: Taking taylor expansion of th in th
15.318 * [backup-simplify]: Simplify 0 into 0
15.318 * [backup-simplify]: Simplify 1 into 1
15.318 * [backup-simplify]: Simplify (/ -1 1) into -1
15.318 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
15.318 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
15.318 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
15.318 * [taylor]: Taking taylor expansion of -1 in th
15.318 * [backup-simplify]: Simplify -1 into -1
15.318 * [taylor]: Taking taylor expansion of ky in th
15.319 * [backup-simplify]: Simplify ky into ky
15.319 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
15.319 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.319 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
15.319 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 kx)) (sin (/ -1 ky))) in th
15.319 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))))
15.319 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))) in th
15.319 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in th
15.319 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in th
15.319 * [taylor]: Taking taylor expansion of (/ -1 kx) in th
15.319 * [taylor]: Taking taylor expansion of -1 in th
15.319 * [backup-simplify]: Simplify -1 into -1
15.319 * [taylor]: Taking taylor expansion of kx in th
15.319 * [backup-simplify]: Simplify kx into kx
15.319 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
15.319 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
15.319 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
15.319 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in th
15.319 * [taylor]: Taking taylor expansion of (/ -1 kx) in th
15.319 * [taylor]: Taking taylor expansion of -1 in th
15.319 * [backup-simplify]: Simplify -1 into -1
15.319 * [taylor]: Taking taylor expansion of kx in th
15.319 * [backup-simplify]: Simplify kx into kx
15.319 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
15.319 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
15.319 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
15.319 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in th
15.319 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
15.319 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
15.319 * [taylor]: Taking taylor expansion of -1 in th
15.319 * [backup-simplify]: Simplify -1 into -1
15.319 * [taylor]: Taking taylor expansion of ky in th
15.319 * [backup-simplify]: Simplify ky into ky
15.319 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
15.319 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.319 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
15.319 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
15.319 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
15.319 * [taylor]: Taking taylor expansion of -1 in th
15.319 * [backup-simplify]: Simplify -1 into -1
15.319 * [taylor]: Taking taylor expansion of ky in th
15.319 * [backup-simplify]: Simplify ky into ky
15.320 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
15.320 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.320 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
15.320 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
15.320 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
15.320 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
15.320 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
15.320 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
15.320 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
15.320 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
15.320 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
15.320 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
15.320 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
15.320 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
15.320 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
15.320 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
15.320 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
15.321 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
15.321 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
15.321 * [backup-simplify]: Simplify (+ 0) into 0
15.321 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
15.321 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
15.322 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.322 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
15.322 * [backup-simplify]: Simplify (+ 0 0) into 0
15.323 * [backup-simplify]: Simplify (+ 0) into 0
15.323 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
15.323 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
15.324 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.324 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
15.324 * [backup-simplify]: Simplify (+ 0 0) into 0
15.324 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
15.324 * [backup-simplify]: Simplify (+ 0) into 0
15.325 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
15.325 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
15.325 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.326 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
15.326 * [backup-simplify]: Simplify (+ 0 0) into 0
15.326 * [backup-simplify]: Simplify (+ 0) into 0
15.326 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
15.327 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
15.327 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.327 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
15.328 * [backup-simplify]: Simplify (+ 0 0) into 0
15.328 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
15.328 * [backup-simplify]: Simplify (+ 0 0) into 0
15.328 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
15.329 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
15.329 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
15.329 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
15.329 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
15.329 * [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)))))
15.329 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))) in th
15.329 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in th
15.329 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in th
15.329 * [taylor]: Taking taylor expansion of (/ -1 th) in th
15.329 * [taylor]: Taking taylor expansion of -1 in th
15.329 * [backup-simplify]: Simplify -1 into -1
15.329 * [taylor]: Taking taylor expansion of th in th
15.329 * [backup-simplify]: Simplify 0 into 0
15.329 * [backup-simplify]: Simplify 1 into 1
15.330 * [backup-simplify]: Simplify (/ -1 1) into -1
15.330 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
15.330 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
15.330 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
15.330 * [taylor]: Taking taylor expansion of -1 in th
15.330 * [backup-simplify]: Simplify -1 into -1
15.330 * [taylor]: Taking taylor expansion of ky in th
15.330 * [backup-simplify]: Simplify ky into ky
15.330 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
15.330 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.330 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
15.330 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 kx)) (sin (/ -1 ky))) in th
15.330 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))))
15.330 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))) in th
15.330 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in th
15.331 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in th
15.331 * [taylor]: Taking taylor expansion of (/ -1 kx) in th
15.331 * [taylor]: Taking taylor expansion of -1 in th
15.331 * [backup-simplify]: Simplify -1 into -1
15.331 * [taylor]: Taking taylor expansion of kx in th
15.331 * [backup-simplify]: Simplify kx into kx
15.331 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
15.331 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
15.331 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
15.331 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in th
15.331 * [taylor]: Taking taylor expansion of (/ -1 kx) in th
15.331 * [taylor]: Taking taylor expansion of -1 in th
15.331 * [backup-simplify]: Simplify -1 into -1
15.331 * [taylor]: Taking taylor expansion of kx in th
15.331 * [backup-simplify]: Simplify kx into kx
15.331 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
15.331 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
15.331 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
15.331 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in th
15.331 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
15.331 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
15.331 * [taylor]: Taking taylor expansion of -1 in th
15.331 * [backup-simplify]: Simplify -1 into -1
15.331 * [taylor]: Taking taylor expansion of ky in th
15.331 * [backup-simplify]: Simplify ky into ky
15.331 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
15.331 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.332 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
15.332 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
15.332 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
15.332 * [taylor]: Taking taylor expansion of -1 in th
15.332 * [backup-simplify]: Simplify -1 into -1
15.332 * [taylor]: Taking taylor expansion of ky in th
15.332 * [backup-simplify]: Simplify ky into ky
15.332 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
15.332 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.332 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
15.332 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
15.332 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
15.332 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
15.332 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
15.332 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
15.332 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
15.333 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
15.333 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
15.333 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
15.333 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
15.333 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
15.333 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
15.333 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
15.333 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
15.333 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
15.334 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
15.334 * [backup-simplify]: Simplify (+ 0) into 0
15.335 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
15.335 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
15.336 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.336 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
15.336 * [backup-simplify]: Simplify (+ 0 0) into 0
15.337 * [backup-simplify]: Simplify (+ 0) into 0
15.337 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
15.338 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
15.338 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.339 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
15.339 * [backup-simplify]: Simplify (+ 0 0) into 0
15.339 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
15.340 * [backup-simplify]: Simplify (+ 0) into 0
15.340 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
15.340 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
15.341 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.342 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
15.342 * [backup-simplify]: Simplify (+ 0 0) into 0
15.342 * [backup-simplify]: Simplify (+ 0) into 0
15.343 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
15.343 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
15.344 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.344 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
15.345 * [backup-simplify]: Simplify (+ 0 0) into 0
15.345 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
15.345 * [backup-simplify]: Simplify (+ 0 0) into 0
15.345 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
15.346 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
15.346 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
15.346 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
15.346 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
15.346 * [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)))))
15.346 * [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
15.346 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in kx
15.346 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in kx
15.346 * [taylor]: Taking taylor expansion of (/ -1 th) in kx
15.346 * [taylor]: Taking taylor expansion of -1 in kx
15.346 * [backup-simplify]: Simplify -1 into -1
15.346 * [taylor]: Taking taylor expansion of th in kx
15.346 * [backup-simplify]: Simplify th into th
15.346 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
15.347 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
15.347 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
15.347 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
15.347 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
15.347 * [taylor]: Taking taylor expansion of -1 in kx
15.347 * [backup-simplify]: Simplify -1 into -1
15.347 * [taylor]: Taking taylor expansion of ky in kx
15.347 * [backup-simplify]: Simplify ky into ky
15.347 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
15.347 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.347 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
15.347 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in kx
15.347 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx
15.347 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx
15.347 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx
15.347 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
15.347 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
15.347 * [taylor]: Taking taylor expansion of -1 in kx
15.347 * [backup-simplify]: Simplify -1 into -1
15.347 * [taylor]: Taking taylor expansion of kx in kx
15.347 * [backup-simplify]: Simplify 0 into 0
15.347 * [backup-simplify]: Simplify 1 into 1
15.348 * [backup-simplify]: Simplify (/ -1 1) into -1
15.348 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
15.348 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx
15.348 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
15.348 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
15.348 * [taylor]: Taking taylor expansion of -1 in kx
15.348 * [backup-simplify]: Simplify -1 into -1
15.348 * [taylor]: Taking taylor expansion of ky in kx
15.348 * [backup-simplify]: Simplify ky into ky
15.348 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
15.348 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.348 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
15.348 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
15.348 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
15.349 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
15.349 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
15.349 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
15.349 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
15.349 * [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)))
15.350 * [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))))
15.350 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
15.350 * [backup-simplify]: Simplify (+ 0) into 0
15.351 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
15.351 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
15.352 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.352 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
15.353 * [backup-simplify]: Simplify (+ 0 0) into 0
15.353 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 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)))))) into 0
15.354 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
15.354 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
15.354 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
15.354 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
15.355 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
15.355 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
15.355 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
15.355 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
15.355 * [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)))))
15.355 * [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
15.355 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in ky
15.355 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in ky
15.355 * [taylor]: Taking taylor expansion of (/ -1 th) in ky
15.355 * [taylor]: Taking taylor expansion of -1 in ky
15.355 * [backup-simplify]: Simplify -1 into -1
15.355 * [taylor]: Taking taylor expansion of th in ky
15.355 * [backup-simplify]: Simplify th into th
15.355 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
15.356 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
15.356 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
15.356 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
15.356 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
15.356 * [taylor]: Taking taylor expansion of -1 in ky
15.356 * [backup-simplify]: Simplify -1 into -1
15.356 * [taylor]: Taking taylor expansion of ky in ky
15.356 * [backup-simplify]: Simplify 0 into 0
15.356 * [backup-simplify]: Simplify 1 into 1
15.356 * [backup-simplify]: Simplify (/ -1 1) into -1
15.356 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.357 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in ky
15.357 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in ky
15.357 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in ky
15.357 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in ky
15.357 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
15.357 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
15.357 * [taylor]: Taking taylor expansion of -1 in ky
15.357 * [backup-simplify]: Simplify -1 into -1
15.357 * [taylor]: Taking taylor expansion of kx in ky
15.357 * [backup-simplify]: Simplify kx into kx
15.357 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
15.357 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
15.357 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
15.357 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
15.357 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
15.357 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
15.357 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in ky
15.357 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
15.357 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
15.357 * [taylor]: Taking taylor expansion of -1 in ky
15.357 * [backup-simplify]: Simplify -1 into -1
15.357 * [taylor]: Taking taylor expansion of ky in ky
15.357 * [backup-simplify]: Simplify 0 into 0
15.357 * [backup-simplify]: Simplify 1 into 1
15.358 * [backup-simplify]: Simplify (/ -1 1) into -1
15.358 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.358 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
15.359 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
15.359 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
15.359 * [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)))
15.359 * [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))))
15.360 * [backup-simplify]: Simplify (+ 0) into 0
15.360 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
15.360 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
15.361 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.362 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
15.362 * [backup-simplify]: Simplify (+ 0 0) into 0
15.362 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
15.362 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
15.363 * [backup-simplify]: Simplify (+ 0 0) into 0
15.363 * [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
15.364 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
15.364 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
15.364 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
15.364 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
15.364 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
15.364 * [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)))))
15.364 * [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)))))
15.365 * [backup-simplify]: Simplify (+ 0) into 0
15.365 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
15.365 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
15.366 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.366 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
15.366 * [backup-simplify]: Simplify (+ 0 0) into 0
15.366 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 (sin (/ -1 ky)))) into 0
15.367 * [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
15.367 * [taylor]: Taking taylor expansion of 0 in kx
15.367 * [backup-simplify]: Simplify 0 into 0
15.367 * [taylor]: Taking taylor expansion of 0 in ky
15.367 * [backup-simplify]: Simplify 0 into 0
15.367 * [backup-simplify]: Simplify 0 into 0
15.367 * [backup-simplify]: Simplify (+ 0) into 0
15.367 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
15.368 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
15.368 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.368 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
15.369 * [backup-simplify]: Simplify (+ 0 0) into 0
15.369 * [backup-simplify]: Simplify (+ 0) into 0
15.369 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 1)) into 0
15.369 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
15.370 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.371 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 0)) into 0
15.371 * [backup-simplify]: Simplify (+ 0 0) into 0
15.371 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 (sin (/ -1 ky)))) into 0
15.371 * [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
15.371 * [taylor]: Taking taylor expansion of 0 in ky
15.372 * [backup-simplify]: Simplify 0 into 0
15.372 * [backup-simplify]: Simplify 0 into 0
15.372 * [backup-simplify]: Simplify (+ 0) into 0
15.372 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 1)) into 0
15.373 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
15.373 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.374 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 0)) into 0
15.374 * [backup-simplify]: Simplify (+ 0 0) into 0
15.374 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 (sin (/ -1 ky)))) into 0
15.375 * [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
15.375 * [backup-simplify]: Simplify 0 into 0
15.376 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.376 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
15.377 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
15.377 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.378 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
15.378 * [backup-simplify]: Simplify (+ 0 0) into 0
15.379 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
15.380 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.380 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
15.381 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
15.381 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.382 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
15.382 * [backup-simplify]: Simplify (+ 0 0) into 0
15.383 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.384 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
15.384 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
15.385 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.386 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
15.386 * [backup-simplify]: Simplify (+ 0 0) into 0
15.387 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
15.388 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.389 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
15.389 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
15.390 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.390 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
15.390 * [backup-simplify]: Simplify (+ 0 0) into 0
15.391 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.392 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
15.392 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
15.393 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.394 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
15.394 * [backup-simplify]: Simplify (+ 0 0) into 0
15.395 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
15.395 * [backup-simplify]: Simplify (+ 0 0) into 0
15.396 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
15.397 * [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
15.397 * [taylor]: Taking taylor expansion of 0 in kx
15.397 * [backup-simplify]: Simplify 0 into 0
15.397 * [taylor]: Taking taylor expansion of 0 in ky
15.397 * [backup-simplify]: Simplify 0 into 0
15.397 * [backup-simplify]: Simplify 0 into 0
15.397 * [taylor]: Taking taylor expansion of 0 in ky
15.397 * [backup-simplify]: Simplify 0 into 0
15.397 * [backup-simplify]: Simplify 0 into 0
15.398 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
15.399 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.399 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
15.400 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
15.400 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.401 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
15.401 * [backup-simplify]: Simplify (+ 0 0) into 0
15.402 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
15.402 * [backup-simplify]: Simplify (+ 0 0) into 0
15.403 * [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
15.404 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
15.405 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.405 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
15.406 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
15.406 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.407 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
15.407 * [backup-simplify]: Simplify (+ 0 0) into 0
15.408 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.409 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
15.409 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
15.409 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.410 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
15.410 * [backup-simplify]: Simplify (+ 0 0) into 0
15.410 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
15.411 * [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
15.411 * [taylor]: Taking taylor expansion of 0 in ky
15.411 * [backup-simplify]: Simplify 0 into 0
15.411 * [backup-simplify]: Simplify 0 into 0
15.411 * [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)))
15.411 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
15.411 * [backup-simplify]: Simplify (/ (sin th) (hypot (sin kx) (sin ky))) into (/ (sin th) (hypot (sin kx) (sin ky)))
15.411 * [approximate]: Taking taylor expansion of (/ (sin th) (hypot (sin kx) (sin ky))) in (th kx ky) around 0
15.411 * [taylor]: Taking taylor expansion of (/ (sin th) (hypot (sin kx) (sin ky))) in ky
15.411 * [taylor]: Taking taylor expansion of (sin th) in ky
15.411 * [taylor]: Taking taylor expansion of th in ky
15.411 * [backup-simplify]: Simplify th into th
15.411 * [backup-simplify]: Simplify (sin th) into (sin th)
15.411 * [backup-simplify]: Simplify (cos th) into (cos th)
15.411 * [taylor]: Taking taylor expansion of (hypot (sin kx) (sin ky)) in ky
15.411 * [taylor]: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
15.411 * [taylor]: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in ky
15.411 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
15.411 * [taylor]: Taking taylor expansion of (sin kx) in ky
15.411 * [taylor]: Taking taylor expansion of kx in ky
15.411 * [backup-simplify]: Simplify kx into kx
15.411 * [backup-simplify]: Simplify (sin kx) into (sin kx)
15.412 * [backup-simplify]: Simplify (cos kx) into (cos kx)
15.412 * [taylor]: Taking taylor expansion of (sin kx) in ky
15.412 * [taylor]: Taking taylor expansion of kx in ky
15.412 * [backup-simplify]: Simplify kx into kx
15.412 * [backup-simplify]: Simplify (sin kx) into (sin kx)
15.412 * [backup-simplify]: Simplify (cos kx) into (cos kx)
15.412 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
15.412 * [taylor]: Taking taylor expansion of (sin ky) in ky
15.412 * [taylor]: Taking taylor expansion of ky in ky
15.412 * [backup-simplify]: Simplify 0 into 0
15.412 * [backup-simplify]: Simplify 1 into 1
15.412 * [taylor]: Taking taylor expansion of (sin ky) in ky
15.412 * [taylor]: Taking taylor expansion of ky in ky
15.412 * [backup-simplify]: Simplify 0 into 0
15.412 * [backup-simplify]: Simplify 1 into 1
15.412 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
15.412 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
15.412 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
15.412 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
15.412 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
15.412 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
15.412 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
15.412 * [backup-simplify]: Simplify (* 0 0) into 0
15.412 * [backup-simplify]: Simplify (+ (pow (sin kx) 2) 0) into (pow (sin kx) 2)
15.412 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
15.413 * [backup-simplify]: Simplify (+ 0) into 0
15.413 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
15.414 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.414 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
15.414 * [backup-simplify]: Simplify (+ 0 0) into 0
15.414 * [backup-simplify]: Simplify (+ 0) into 0
15.415 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
15.415 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.415 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
15.416 * [backup-simplify]: Simplify (+ 0 0) into 0
15.416 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
15.416 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.417 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.417 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
15.417 * [backup-simplify]: Simplify (+ 0 0) into 0
15.417 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
15.417 * [backup-simplify]: Simplify (* (sin th) 1) into (sin th)
15.417 * [backup-simplify]: Simplify (* (cos th) 0) into 0
15.417 * [backup-simplify]: Simplify (+ (sin th) 0) into (sin th)
15.417 * [backup-simplify]: Simplify (/ (sin th) (sin kx)) into (/ (sin th) (sin kx))
15.417 * [taylor]: Taking taylor expansion of (/ (sin th) (hypot (sin kx) (sin ky))) in kx
15.417 * [taylor]: Taking taylor expansion of (sin th) in kx
15.417 * [taylor]: Taking taylor expansion of th in kx
15.417 * [backup-simplify]: Simplify th into th
15.418 * [backup-simplify]: Simplify (sin th) into (sin th)
15.418 * [backup-simplify]: Simplify (cos th) into (cos th)
15.418 * [taylor]: Taking taylor expansion of (hypot (sin kx) (sin ky)) in kx
15.418 * [taylor]: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
15.418 * [taylor]: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in kx
15.418 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in kx
15.418 * [taylor]: Taking taylor expansion of (sin kx) in kx
15.418 * [taylor]: Taking taylor expansion of kx in kx
15.418 * [backup-simplify]: Simplify 0 into 0
15.418 * [backup-simplify]: Simplify 1 into 1
15.418 * [taylor]: Taking taylor expansion of (sin kx) in kx
15.418 * [taylor]: Taking taylor expansion of kx in kx
15.418 * [backup-simplify]: Simplify 0 into 0
15.418 * [backup-simplify]: Simplify 1 into 1
15.418 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in kx
15.418 * [taylor]: Taking taylor expansion of (sin ky) in kx
15.418 * [taylor]: Taking taylor expansion of ky in kx
15.418 * [backup-simplify]: Simplify ky into ky
15.418 * [backup-simplify]: Simplify (sin ky) into (sin ky)
15.418 * [backup-simplify]: Simplify (cos ky) into (cos ky)
15.418 * [taylor]: Taking taylor expansion of (sin ky) in kx
15.418 * [taylor]: Taking taylor expansion of ky in kx
15.418 * [backup-simplify]: Simplify ky into ky
15.418 * [backup-simplify]: Simplify (sin ky) into (sin ky)
15.418 * [backup-simplify]: Simplify (cos ky) into (cos ky)
15.418 * [backup-simplify]: Simplify (* 0 0) into 0
15.418 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
15.418 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
15.418 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
15.418 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
15.418 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
15.419 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
15.419 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
15.419 * [backup-simplify]: Simplify (+ 0 (pow (sin ky) 2)) into (pow (sin ky) 2)
15.419 * [backup-simplify]: Simplify (sqrt (pow (sin ky) 2)) into (sin ky)
15.419 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.420 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.420 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
15.420 * [backup-simplify]: Simplify (+ 0) into 0
15.421 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
15.421 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.421 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
15.422 * [backup-simplify]: Simplify (+ 0 0) into 0
15.422 * [backup-simplify]: Simplify (+ 0) into 0
15.422 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
15.423 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.423 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
15.423 * [backup-simplify]: Simplify (+ 0 0) into 0
15.423 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
15.423 * [backup-simplify]: Simplify (+ 0 0) into 0
15.423 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin ky) 2)))) into 0
15.423 * [backup-simplify]: Simplify (* (sin th) 1) into (sin th)
15.424 * [backup-simplify]: Simplify (* (cos th) 0) into 0
15.424 * [backup-simplify]: Simplify (+ (sin th) 0) into (sin th)
15.424 * [backup-simplify]: Simplify (/ (sin th) (sin ky)) into (/ (sin th) (sin ky))
15.424 * [taylor]: Taking taylor expansion of (/ (sin th) (hypot (sin kx) (sin ky))) in th
15.424 * [taylor]: Taking taylor expansion of (sin th) in th
15.424 * [taylor]: Taking taylor expansion of th in th
15.424 * [backup-simplify]: Simplify 0 into 0
15.424 * [backup-simplify]: Simplify 1 into 1
15.424 * [taylor]: Taking taylor expansion of (hypot (sin kx) (sin ky)) in th
15.424 * [taylor]: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
15.424 * [taylor]: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in th
15.424 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in th
15.424 * [taylor]: Taking taylor expansion of (sin kx) in th
15.424 * [taylor]: Taking taylor expansion of kx in th
15.424 * [backup-simplify]: Simplify kx into kx
15.424 * [backup-simplify]: Simplify (sin kx) into (sin kx)
15.424 * [backup-simplify]: Simplify (cos kx) into (cos kx)
15.424 * [taylor]: Taking taylor expansion of (sin kx) in th
15.424 * [taylor]: Taking taylor expansion of kx in th
15.424 * [backup-simplify]: Simplify kx into kx
15.424 * [backup-simplify]: Simplify (sin kx) into (sin kx)
15.424 * [backup-simplify]: Simplify (cos kx) into (cos kx)
15.424 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in th
15.424 * [taylor]: Taking taylor expansion of (sin ky) in th
15.424 * [taylor]: Taking taylor expansion of ky in th
15.424 * [backup-simplify]: Simplify ky into ky
15.424 * [backup-simplify]: Simplify (sin ky) into (sin ky)
15.424 * [backup-simplify]: Simplify (cos ky) into (cos ky)
15.424 * [taylor]: Taking taylor expansion of (sin ky) in th
15.424 * [taylor]: Taking taylor expansion of ky in th
15.424 * [backup-simplify]: Simplify ky into ky
15.424 * [backup-simplify]: Simplify (sin ky) into (sin ky)
15.424 * [backup-simplify]: Simplify (cos ky) into (cos ky)
15.424 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
15.424 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
15.424 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
15.424 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
15.425 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
15.425 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
15.425 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
15.425 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
15.425 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
15.425 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
15.425 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
15.425 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
15.425 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
15.425 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
15.425 * [backup-simplify]: Simplify (+ (pow (sin kx) 2) (pow (sin ky) 2)) into (+ (pow (sin ky) 2) (pow (sin kx) 2))
15.425 * [backup-simplify]: Simplify (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) into (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))
15.426 * [backup-simplify]: Simplify (+ 0) into 0
15.426 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
15.426 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.427 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
15.427 * [backup-simplify]: Simplify (+ 0 0) into 0
15.427 * [backup-simplify]: Simplify (+ 0) into 0
15.427 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
15.428 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.428 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
15.429 * [backup-simplify]: Simplify (+ 0 0) into 0
15.429 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
15.429 * [backup-simplify]: Simplify (+ 0) into 0
15.429 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
15.430 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.430 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
15.430 * [backup-simplify]: Simplify (+ 0 0) into 0
15.430 * [backup-simplify]: Simplify (+ 0) into 0
15.431 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
15.431 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.431 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
15.432 * [backup-simplify]: Simplify (+ 0 0) into 0
15.432 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
15.432 * [backup-simplify]: Simplify (+ 0 0) into 0
15.432 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))) into 0
15.433 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.433 * [backup-simplify]: Simplify (/ 1 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))) into (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2))))
15.433 * [taylor]: Taking taylor expansion of (/ (sin th) (hypot (sin kx) (sin ky))) in th
15.433 * [taylor]: Taking taylor expansion of (sin th) in th
15.433 * [taylor]: Taking taylor expansion of th in th
15.433 * [backup-simplify]: Simplify 0 into 0
15.433 * [backup-simplify]: Simplify 1 into 1
15.433 * [taylor]: Taking taylor expansion of (hypot (sin kx) (sin ky)) in th
15.433 * [taylor]: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
15.433 * [taylor]: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in th
15.433 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in th
15.433 * [taylor]: Taking taylor expansion of (sin kx) in th
15.433 * [taylor]: Taking taylor expansion of kx in th
15.433 * [backup-simplify]: Simplify kx into kx
15.433 * [backup-simplify]: Simplify (sin kx) into (sin kx)
15.433 * [backup-simplify]: Simplify (cos kx) into (cos kx)
15.433 * [taylor]: Taking taylor expansion of (sin kx) in th
15.433 * [taylor]: Taking taylor expansion of kx in th
15.433 * [backup-simplify]: Simplify kx into kx
15.433 * [backup-simplify]: Simplify (sin kx) into (sin kx)
15.433 * [backup-simplify]: Simplify (cos kx) into (cos kx)
15.433 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in th
15.433 * [taylor]: Taking taylor expansion of (sin ky) in th
15.433 * [taylor]: Taking taylor expansion of ky in th
15.433 * [backup-simplify]: Simplify ky into ky
15.433 * [backup-simplify]: Simplify (sin ky) into (sin ky)
15.433 * [backup-simplify]: Simplify (cos ky) into (cos ky)
15.433 * [taylor]: Taking taylor expansion of (sin ky) in th
15.433 * [taylor]: Taking taylor expansion of ky in th
15.433 * [backup-simplify]: Simplify ky into ky
15.433 * [backup-simplify]: Simplify (sin ky) into (sin ky)
15.433 * [backup-simplify]: Simplify (cos ky) into (cos ky)
15.433 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
15.433 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
15.433 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
15.434 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
15.434 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
15.434 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
15.434 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
15.434 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
15.434 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
15.434 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
15.434 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
15.434 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
15.434 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
15.434 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
15.434 * [backup-simplify]: Simplify (+ (pow (sin kx) 2) (pow (sin ky) 2)) into (+ (pow (sin ky) 2) (pow (sin kx) 2))
15.434 * [backup-simplify]: Simplify (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) into (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))
15.434 * [backup-simplify]: Simplify (+ 0) into 0
15.435 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
15.435 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.436 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
15.436 * [backup-simplify]: Simplify (+ 0 0) into 0
15.436 * [backup-simplify]: Simplify (+ 0) into 0
15.436 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
15.437 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.437 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
15.437 * [backup-simplify]: Simplify (+ 0 0) into 0
15.437 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
15.439 * [backup-simplify]: Simplify (+ 0) into 0
15.439 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
15.440 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.440 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
15.440 * [backup-simplify]: Simplify (+ 0 0) into 0
15.441 * [backup-simplify]: Simplify (+ 0) into 0
15.441 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
15.441 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.442 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
15.442 * [backup-simplify]: Simplify (+ 0 0) into 0
15.442 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
15.442 * [backup-simplify]: Simplify (+ 0 0) into 0
15.442 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))) into 0
15.443 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.443 * [backup-simplify]: Simplify (/ 1 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))) into (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2))))
15.443 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) in kx
15.443 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2))) in kx
15.443 * [taylor]: Taking taylor expansion of (+ (pow (sin ky) 2) (pow (sin kx) 2)) in kx
15.443 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in kx
15.443 * [taylor]: Taking taylor expansion of (sin ky) in kx
15.443 * [taylor]: Taking taylor expansion of ky in kx
15.443 * [backup-simplify]: Simplify ky into ky
15.443 * [backup-simplify]: Simplify (sin ky) into (sin ky)
15.443 * [backup-simplify]: Simplify (cos ky) into (cos ky)
15.443 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
15.443 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
15.443 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
15.443 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in kx
15.444 * [taylor]: Taking taylor expansion of (sin kx) in kx
15.444 * [taylor]: Taking taylor expansion of kx in kx
15.444 * [backup-simplify]: Simplify 0 into 0
15.444 * [backup-simplify]: Simplify 1 into 1
15.444 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.444 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
15.444 * [backup-simplify]: Simplify (+ (pow (sin ky) 2) 0) into (pow (sin ky) 2)
15.444 * [backup-simplify]: Simplify (/ 1 (pow (sin ky) 2)) into (/ 1 (pow (sin ky) 2))
15.444 * [backup-simplify]: Simplify (sqrt (/ 1 (pow (sin ky) 2))) into (/ 1 (sin ky))
15.445 * [backup-simplify]: Simplify (+ 0) into 0
15.445 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
15.445 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.446 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
15.446 * [backup-simplify]: Simplify (+ 0 0) into 0
15.446 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
15.446 * [backup-simplify]: Simplify (+ 0 0) into 0
15.447 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sin ky) 2)) (/ 0 (pow (sin ky) 2))))) into 0
15.447 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow (sin ky) 2))))) into 0
15.447 * [taylor]: Taking taylor expansion of (/ 1 (sin ky)) in ky
15.447 * [taylor]: Taking taylor expansion of (sin ky) in ky
15.447 * [taylor]: Taking taylor expansion of ky in ky
15.447 * [backup-simplify]: Simplify 0 into 0
15.447 * [backup-simplify]: Simplify 1 into 1
15.447 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.448 * [backup-simplify]: Simplify (/ 1 1) into 1
15.448 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.448 * [backup-simplify]: Simplify 0 into 0
15.449 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.449 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (+ (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (/ 0 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))))) into 0
15.449 * [taylor]: Taking taylor expansion of 0 in kx
15.449 * [backup-simplify]: Simplify 0 into 0
15.449 * [taylor]: Taking taylor expansion of 0 in ky
15.449 * [backup-simplify]: Simplify 0 into 0
15.449 * [backup-simplify]: Simplify 0 into 0
15.449 * [taylor]: Taking taylor expansion of 0 in ky
15.450 * [backup-simplify]: Simplify 0 into 0
15.450 * [backup-simplify]: Simplify 0 into 0
15.450 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
15.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/6
15.451 * [backup-simplify]: Simplify 1/6 into 1/6
15.452 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
15.452 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.453 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
15.453 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.454 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
15.454 * [backup-simplify]: Simplify (+ 0 0) into 0
15.454 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.455 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
15.455 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.456 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
15.456 * [backup-simplify]: Simplify (+ 0 0) into 0
15.456 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 (sin kx)))) into 0
15.457 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.457 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 1))) into 0
15.458 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.458 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (* 0 0))) into 0
15.458 * [backup-simplify]: Simplify (+ 0 0) into 0
15.459 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.460 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 1))) into 0
15.460 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.460 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (* 0 0))) into 0
15.461 * [backup-simplify]: Simplify (+ 0 0) into 0
15.461 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 (sin ky)))) into 0
15.461 * [backup-simplify]: Simplify (+ 0 0) into 0
15.462 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))) into 0
15.462 * [backup-simplify]: Simplify (- (/ -1/6 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (+ (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (/ 0 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))) (* 0 (/ 0 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))))) into (- (* 1/6 (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2))))))
15.462 * [taylor]: Taking taylor expansion of (- (* 1/6 (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))))) in kx
15.462 * [taylor]: Taking taylor expansion of (* 1/6 (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2))))) in kx
15.462 * [taylor]: Taking taylor expansion of 1/6 in kx
15.462 * [backup-simplify]: Simplify 1/6 into 1/6
15.462 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) in kx
15.462 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2))) in kx
15.462 * [taylor]: Taking taylor expansion of (+ (pow (sin ky) 2) (pow (sin kx) 2)) in kx
15.462 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in kx
15.462 * [taylor]: Taking taylor expansion of (sin ky) in kx
15.462 * [taylor]: Taking taylor expansion of ky in kx
15.462 * [backup-simplify]: Simplify ky into ky
15.462 * [backup-simplify]: Simplify (sin ky) into (sin ky)
15.462 * [backup-simplify]: Simplify (cos ky) into (cos ky)
15.462 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
15.463 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
15.463 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
15.463 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in kx
15.463 * [taylor]: Taking taylor expansion of (sin kx) in kx
15.463 * [taylor]: Taking taylor expansion of kx in kx
15.463 * [backup-simplify]: Simplify 0 into 0
15.463 * [backup-simplify]: Simplify 1 into 1
15.463 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.463 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
15.463 * [backup-simplify]: Simplify (+ (pow (sin ky) 2) 0) into (pow (sin ky) 2)
15.463 * [backup-simplify]: Simplify (/ 1 (pow (sin ky) 2)) into (/ 1 (pow (sin ky) 2))
15.463 * [backup-simplify]: Simplify (sqrt (/ 1 (pow (sin ky) 2))) into (/ 1 (sin ky))
15.464 * [backup-simplify]: Simplify (+ 0) into 0
15.464 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
15.464 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.465 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
15.465 * [backup-simplify]: Simplify (+ 0 0) into 0
15.465 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
15.465 * [backup-simplify]: Simplify (+ 0 0) into 0
15.465 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sin ky) 2)) (/ 0 (pow (sin ky) 2))))) into 0
15.465 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow (sin ky) 2))))) into 0
15.466 * [backup-simplify]: Simplify (* 1/6 (/ 1 (sin ky))) into (/ 1/6 (sin ky))
15.466 * [backup-simplify]: Simplify (- (/ 1/6 (sin ky))) into (- (* 1/6 (/ 1 (sin ky))))
15.466 * [taylor]: Taking taylor expansion of (- (* 1/6 (/ 1 (sin ky)))) in ky
15.466 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (sin ky))) in ky
15.466 * [taylor]: Taking taylor expansion of 1/6 in ky
15.466 * [backup-simplify]: Simplify 1/6 into 1/6
15.466 * [taylor]: Taking taylor expansion of (/ 1 (sin ky)) in ky
15.466 * [taylor]: Taking taylor expansion of (sin ky) in ky
15.466 * [taylor]: Taking taylor expansion of ky in ky
15.466 * [backup-simplify]: Simplify 0 into 0
15.466 * [backup-simplify]: Simplify 1 into 1
15.466 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.466 * [backup-simplify]: Simplify (/ 1 1) into 1
15.467 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.468 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 1)) into 0
15.468 * [backup-simplify]: Simplify (- 0) into 0
15.468 * [backup-simplify]: Simplify 0 into 0
15.468 * [taylor]: Taking taylor expansion of 0 in ky
15.468 * [backup-simplify]: Simplify 0 into 0
15.468 * [backup-simplify]: Simplify 0 into 0
15.469 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.469 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 1))) into 0
15.470 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.470 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (* 0 0))) into 0
15.470 * [backup-simplify]: Simplify (+ 0 0) into 0
15.470 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 (sin ky)))) into 0
15.471 * [backup-simplify]: Simplify (* 1 1) into 1
15.471 * [backup-simplify]: Simplify (+ 0 1) into 1
15.471 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sin ky) 2)) (/ 1 (pow (sin ky) 2))) (* 0 (/ 0 (pow (sin ky) 2))))) into (- (/ 1 (pow (sin ky) 4)))
15.472 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow (sin ky) 4))) (pow 0 2) (+)) (* 2 (/ 1 (sin ky)))) into (/ -1/2 (pow (sin ky) 3))
15.472 * [taylor]: Taking taylor expansion of (/ -1/2 (pow (sin ky) 3)) in ky
15.472 * [taylor]: Taking taylor expansion of -1/2 in ky
15.472 * [backup-simplify]: Simplify -1/2 into -1/2
15.472 * [taylor]: Taking taylor expansion of (pow (sin ky) 3) in ky
15.472 * [taylor]: Taking taylor expansion of (sin ky) in ky
15.472 * [taylor]: Taking taylor expansion of ky in ky
15.472 * [backup-simplify]: Simplify 0 into 0
15.472 * [backup-simplify]: Simplify 1 into 1
15.472 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.473 * [backup-simplify]: Simplify (* 1 1) into 1
15.473 * [backup-simplify]: Simplify (* 1 1) into 1
15.473 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
15.474 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
15.474 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) 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 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0
15.477 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3
15.477 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/3) (+ (* -1/6 0) (* 0 1)))) into 0
15.478 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.479 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0
15.479 * [backup-simplify]: Simplify (+ (* 1 -1/3) (+ (* 0 0) (* -1/6 1))) into -1/2
15.480 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ -1/2 1)) (* 0 (/ 0 1)))) into -1/4
15.481 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ -1/2 1)) (* -1/4 (/ 0 1)))) into 0
15.481 * [backup-simplify]: Simplify 0 into 0
15.481 * [backup-simplify]: Simplify 0 into 0
15.481 * [backup-simplify]: Simplify 0 into 0
15.482 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
15.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/6 1)) (* 1/6 (/ 0 1)))) into 0
15.483 * [backup-simplify]: Simplify 0 into 0
15.483 * [backup-simplify]: Simplify (* 1/6 (* ky (* 1 th))) into (* 1/6 (* ky th))
15.483 * [backup-simplify]: Simplify (/ (sin (/ 1 th)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) into (/ (sin (/ 1 th)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky))))
15.483 * [approximate]: Taking taylor expansion of (/ (sin (/ 1 th)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) in (th kx ky) around 0
15.483 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 th)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) in ky
15.483 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in ky
15.483 * [taylor]: Taking taylor expansion of (/ 1 th) in ky
15.483 * [taylor]: Taking taylor expansion of th in ky
15.483 * [backup-simplify]: Simplify th into th
15.483 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
15.483 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
15.483 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
15.483 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in ky
15.483 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))))
15.483 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in ky
15.483 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
15.483 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
15.483 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
15.483 * [taylor]: Taking taylor expansion of kx in ky
15.483 * [backup-simplify]: Simplify kx into kx
15.483 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
15.483 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
15.483 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
15.483 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
15.483 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
15.483 * [taylor]: Taking taylor expansion of kx in ky
15.483 * [backup-simplify]: Simplify kx into kx
15.483 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
15.484 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
15.484 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
15.484 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
15.484 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
15.484 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
15.484 * [taylor]: Taking taylor expansion of ky in ky
15.484 * [backup-simplify]: Simplify 0 into 0
15.484 * [backup-simplify]: Simplify 1 into 1
15.484 * [backup-simplify]: Simplify (/ 1 1) into 1
15.484 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.484 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
15.484 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
15.484 * [taylor]: Taking taylor expansion of ky in ky
15.484 * [backup-simplify]: Simplify 0 into 0
15.484 * [backup-simplify]: Simplify 1 into 1
15.485 * [backup-simplify]: Simplify (/ 1 1) into 1
15.485 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.485 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
15.485 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
15.485 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
15.485 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
15.485 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
15.485 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
15.485 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
15.486 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
15.486 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
15.486 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
15.486 * [backup-simplify]: Simplify (+ 0) into 0
15.487 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
15.487 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
15.488 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.488 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
15.489 * [backup-simplify]: Simplify (+ 0 0) into 0
15.489 * [backup-simplify]: Simplify (+ 0) into 0
15.489 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
15.490 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
15.490 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.491 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
15.491 * [backup-simplify]: Simplify (+ 0 0) into 0
15.491 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
15.491 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
15.492 * [backup-simplify]: Simplify (+ 0 0) into 0
15.492 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
15.492 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
15.492 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
15.492 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
15.493 * [backup-simplify]: Simplify (/ (sin (/ 1 th)) (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (* (sin (/ 1 th)) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))
15.493 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 th)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) in kx
15.493 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in kx
15.493 * [taylor]: Taking taylor expansion of (/ 1 th) in kx
15.493 * [taylor]: Taking taylor expansion of th in kx
15.493 * [backup-simplify]: Simplify th into th
15.493 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
15.493 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
15.493 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
15.493 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in kx
15.493 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))))
15.493 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in kx
15.493 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in kx
15.493 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
15.493 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
15.493 * [taylor]: Taking taylor expansion of kx in kx
15.493 * [backup-simplify]: Simplify 0 into 0
15.493 * [backup-simplify]: Simplify 1 into 1
15.494 * [backup-simplify]: Simplify (/ 1 1) into 1
15.494 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
15.494 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
15.494 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
15.494 * [taylor]: Taking taylor expansion of kx in kx
15.494 * [backup-simplify]: Simplify 0 into 0
15.494 * [backup-simplify]: Simplify 1 into 1
15.494 * [backup-simplify]: Simplify (/ 1 1) into 1
15.495 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
15.495 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in kx
15.495 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
15.495 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
15.495 * [taylor]: Taking taylor expansion of ky in kx
15.495 * [backup-simplify]: Simplify ky into ky
15.495 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
15.495 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.495 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
15.495 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
15.495 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
15.495 * [taylor]: Taking taylor expansion of ky in kx
15.495 * [backup-simplify]: Simplify ky into ky
15.495 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
15.495 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.495 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
15.495 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
15.495 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
15.496 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
15.496 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
15.496 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
15.496 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
15.496 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
15.496 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
15.496 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
15.496 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
15.497 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
15.497 * [backup-simplify]: Simplify (+ 0) into 0
15.498 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
15.498 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
15.499 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.499 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
15.499 * [backup-simplify]: Simplify (+ 0 0) into 0
15.500 * [backup-simplify]: Simplify (+ 0) into 0
15.500 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
15.500 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
15.501 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.502 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
15.502 * [backup-simplify]: Simplify (+ 0 0) into 0
15.502 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
15.503 * [backup-simplify]: Simplify (+ 0 0) into 0
15.503 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
15.503 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
15.503 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
15.503 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
15.503 * [backup-simplify]: Simplify (/ (sin (/ 1 th)) (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (* (sin (/ 1 th)) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))
15.503 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 th)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) in th
15.503 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in th
15.503 * [taylor]: Taking taylor expansion of (/ 1 th) in th
15.503 * [taylor]: Taking taylor expansion of th in th
15.503 * [backup-simplify]: Simplify 0 into 0
15.504 * [backup-simplify]: Simplify 1 into 1
15.504 * [backup-simplify]: Simplify (/ 1 1) into 1
15.504 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
15.504 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in th
15.504 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))))
15.504 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in th
15.504 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in th
15.504 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in th
15.504 * [taylor]: Taking taylor expansion of (/ 1 kx) in th
15.504 * [taylor]: Taking taylor expansion of kx in th
15.504 * [backup-simplify]: Simplify kx into kx
15.504 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
15.504 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
15.504 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
15.505 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in th
15.505 * [taylor]: Taking taylor expansion of (/ 1 kx) in th
15.505 * [taylor]: Taking taylor expansion of kx in th
15.505 * [backup-simplify]: Simplify kx into kx
15.505 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
15.505 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
15.505 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
15.505 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in th
15.505 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
15.505 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
15.505 * [taylor]: Taking taylor expansion of ky in th
15.505 * [backup-simplify]: Simplify ky into ky
15.505 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
15.505 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.505 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
15.505 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
15.505 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
15.505 * [taylor]: Taking taylor expansion of ky in th
15.505 * [backup-simplify]: Simplify ky into ky
15.505 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
15.505 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.505 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
15.506 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
15.506 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
15.506 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
15.506 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
15.506 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
15.506 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
15.506 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
15.506 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
15.506 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
15.506 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
15.506 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
15.507 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
15.507 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
15.507 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
15.507 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
15.507 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
15.508 * [backup-simplify]: Simplify (+ 0) into 0
15.508 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
15.508 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
15.509 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.510 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
15.510 * [backup-simplify]: Simplify (+ 0 0) into 0
15.511 * [backup-simplify]: Simplify (+ 0) into 0
15.511 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
15.511 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
15.512 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.513 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
15.513 * [backup-simplify]: Simplify (+ 0 0) into 0
15.513 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
15.513 * [backup-simplify]: Simplify (+ 0) into 0
15.514 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
15.514 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
15.515 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.516 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
15.516 * [backup-simplify]: Simplify (+ 0 0) into 0
15.516 * [backup-simplify]: Simplify (+ 0) into 0
15.517 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
15.517 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
15.518 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.518 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
15.519 * [backup-simplify]: Simplify (+ 0 0) into 0
15.519 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
15.519 * [backup-simplify]: Simplify (+ 0 0) into 0
15.519 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
15.520 * [backup-simplify]: Simplify (/ (sin (/ 1 th)) (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (* (sin (/ 1 th)) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))
15.520 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 th)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) in th
15.520 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in th
15.520 * [taylor]: Taking taylor expansion of (/ 1 th) in th
15.520 * [taylor]: Taking taylor expansion of th in th
15.520 * [backup-simplify]: Simplify 0 into 0
15.520 * [backup-simplify]: Simplify 1 into 1
15.520 * [backup-simplify]: Simplify (/ 1 1) into 1
15.520 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
15.520 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in th
15.521 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))))
15.521 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in th
15.521 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in th
15.521 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in th
15.521 * [taylor]: Taking taylor expansion of (/ 1 kx) in th
15.521 * [taylor]: Taking taylor expansion of kx in th
15.521 * [backup-simplify]: Simplify kx into kx
15.521 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
15.521 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
15.521 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
15.521 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in th
15.521 * [taylor]: Taking taylor expansion of (/ 1 kx) in th
15.521 * [taylor]: Taking taylor expansion of kx in th
15.521 * [backup-simplify]: Simplify kx into kx
15.521 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
15.521 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
15.521 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
15.521 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in th
15.521 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
15.521 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
15.521 * [taylor]: Taking taylor expansion of ky in th
15.521 * [backup-simplify]: Simplify ky into ky
15.521 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
15.521 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.522 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
15.522 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
15.522 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
15.522 * [taylor]: Taking taylor expansion of ky in th
15.522 * [backup-simplify]: Simplify ky into ky
15.522 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
15.522 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.522 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
15.522 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
15.522 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
15.522 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
15.522 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
15.522 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
15.522 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
15.523 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
15.523 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
15.523 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
15.523 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
15.523 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
15.523 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
15.523 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
15.523 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
15.524 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
15.524 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
15.525 * [backup-simplify]: Simplify (+ 0) into 0
15.525 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
15.525 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
15.526 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.526 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
15.527 * [backup-simplify]: Simplify (+ 0 0) into 0
15.527 * [backup-simplify]: Simplify (+ 0) into 0
15.528 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
15.528 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
15.529 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.529 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
15.529 * [backup-simplify]: Simplify (+ 0 0) into 0
15.530 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
15.530 * [backup-simplify]: Simplify (+ 0) into 0
15.530 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
15.531 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
15.531 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.532 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
15.532 * [backup-simplify]: Simplify (+ 0 0) into 0
15.532 * [backup-simplify]: Simplify (+ 0) into 0
15.533 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
15.533 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
15.534 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.534 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
15.535 * [backup-simplify]: Simplify (+ 0 0) into 0
15.535 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
15.535 * [backup-simplify]: Simplify (+ 0 0) into 0
15.536 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
15.536 * [backup-simplify]: Simplify (/ (sin (/ 1 th)) (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (* (sin (/ 1 th)) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))
15.536 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) in kx
15.536 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in kx
15.536 * [taylor]: Taking taylor expansion of (/ 1 th) in kx
15.536 * [taylor]: Taking taylor expansion of th in kx
15.536 * [backup-simplify]: Simplify th into th
15.536 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
15.536 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
15.536 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
15.536 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in kx
15.536 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx
15.536 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx
15.536 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx
15.536 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
15.536 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
15.536 * [taylor]: Taking taylor expansion of kx in kx
15.536 * [backup-simplify]: Simplify 0 into 0
15.536 * [backup-simplify]: Simplify 1 into 1
15.537 * [backup-simplify]: Simplify (/ 1 1) into 1
15.537 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
15.537 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx
15.537 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
15.537 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
15.537 * [taylor]: Taking taylor expansion of ky in kx
15.537 * [backup-simplify]: Simplify ky into ky
15.537 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
15.537 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.537 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
15.537 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
15.537 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
15.538 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
15.538 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
15.538 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
15.538 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
15.538 * [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)))
15.539 * [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))))
15.539 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
15.539 * [backup-simplify]: Simplify (+ 0) into 0
15.540 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
15.540 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
15.540 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.541 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
15.541 * [backup-simplify]: Simplify (+ 0 0) into 0
15.541 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
15.542 * [backup-simplify]: Simplify (+ 0 0) into 0
15.542 * [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
15.543 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
15.543 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
15.543 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
15.543 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
15.543 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into (* (sin (/ 1 th)) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))
15.543 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) in ky
15.543 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in ky
15.543 * [taylor]: Taking taylor expansion of (/ 1 th) in ky
15.543 * [taylor]: Taking taylor expansion of th in ky
15.543 * [backup-simplify]: Simplify th into th
15.543 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
15.544 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
15.544 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
15.544 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in ky
15.544 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in ky
15.544 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in ky
15.544 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in ky
15.544 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
15.544 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
15.544 * [taylor]: Taking taylor expansion of kx in ky
15.544 * [backup-simplify]: Simplify kx into kx
15.544 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
15.544 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
15.544 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
15.544 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
15.544 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
15.544 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
15.544 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in ky
15.544 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
15.544 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
15.544 * [taylor]: Taking taylor expansion of ky in ky
15.544 * [backup-simplify]: Simplify 0 into 0
15.544 * [backup-simplify]: Simplify 1 into 1
15.545 * [backup-simplify]: Simplify (/ 1 1) into 1
15.545 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 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)) (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))
15.546 * [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)))
15.546 * [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))))
15.546 * [backup-simplify]: Simplify (+ 0) into 0
15.547 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
15.547 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
15.548 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.548 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
15.549 * [backup-simplify]: Simplify (+ 0 0) into 0
15.549 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
15.549 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
15.550 * [backup-simplify]: Simplify (+ 0 0) into 0
15.550 * [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
15.550 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
15.550 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
15.551 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
15.551 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
15.551 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into (* (sin (/ 1 th)) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))
15.551 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into (* (sin (/ 1 th)) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))
15.552 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (+ (* (* (sin (/ 1 th)) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) into 0
15.552 * [taylor]: Taking taylor expansion of 0 in kx
15.552 * [backup-simplify]: Simplify 0 into 0
15.552 * [taylor]: Taking taylor expansion of 0 in ky
15.552 * [backup-simplify]: Simplify 0 into 0
15.552 * [backup-simplify]: Simplify 0 into 0
15.553 * [backup-simplify]: Simplify (+ 0) into 0
15.553 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 1)) into 0
15.553 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
15.554 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.555 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 0)) into 0
15.555 * [backup-simplify]: Simplify (+ 0 0) into 0
15.555 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
15.555 * [taylor]: Taking taylor expansion of 0 in ky
15.555 * [backup-simplify]: Simplify 0 into 0
15.556 * [backup-simplify]: Simplify 0 into 0
15.556 * [backup-simplify]: Simplify (+ 0) into 0
15.556 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 1)) into 0
15.556 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
15.557 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.557 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 0)) into 0
15.557 * [backup-simplify]: Simplify (+ 0 0) into 0
15.557 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
15.557 * [backup-simplify]: Simplify 0 into 0
15.558 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.558 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
15.559 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
15.563 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.563 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
15.563 * [backup-simplify]: Simplify (+ 0 0) into 0
15.564 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.564 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
15.564 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
15.565 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.565 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
15.565 * [backup-simplify]: Simplify (+ 0 0) into 0
15.566 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
15.566 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.567 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
15.567 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
15.567 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.568 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
15.568 * [backup-simplify]: Simplify (+ 0 0) into 0
15.568 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.569 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
15.569 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
15.570 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.570 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
15.570 * [backup-simplify]: Simplify (+ 0 0) into 0
15.570 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
15.571 * [backup-simplify]: Simplify (+ 0 0) into 0
15.571 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
15.572 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (+ (* (* (sin (/ 1 th)) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) (* 0 (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) into 0
15.572 * [taylor]: Taking taylor expansion of 0 in kx
15.572 * [backup-simplify]: Simplify 0 into 0
15.572 * [taylor]: Taking taylor expansion of 0 in ky
15.572 * [backup-simplify]: Simplify 0 into 0
15.572 * [backup-simplify]: Simplify 0 into 0
15.572 * [taylor]: Taking taylor expansion of 0 in ky
15.572 * [backup-simplify]: Simplify 0 into 0
15.572 * [backup-simplify]: Simplify 0 into 0
15.572 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
15.573 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.573 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
15.574 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
15.574 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.574 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
15.575 * [backup-simplify]: Simplify (+ 0 0) into 0
15.575 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
15.575 * [backup-simplify]: Simplify (+ 0 0) into 0
15.576 * [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
15.576 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
15.577 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.577 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
15.577 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
15.578 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.578 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
15.578 * [backup-simplify]: Simplify (+ 0 0) into 0
15.579 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) into 0
15.579 * [taylor]: Taking taylor expansion of 0 in ky
15.579 * [backup-simplify]: Simplify 0 into 0
15.579 * [backup-simplify]: Simplify 0 into 0
15.579 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 th))) (sqrt (/ 1 (+ (pow (sin (/ 1 (/ 1 kx))) 2) (pow (sin (/ 1 (/ 1 ky))) 2))))) into (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin th))
15.579 * [backup-simplify]: Simplify (/ (sin (/ 1 (- th))) (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky))))) into (/ (sin (/ -1 th)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky))))
15.579 * [approximate]: Taking taylor expansion of (/ (sin (/ -1 th)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))) in (th kx ky) around 0
15.579 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 th)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))) in ky
15.579 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in ky
15.579 * [taylor]: Taking taylor expansion of (/ -1 th) in ky
15.579 * [taylor]: Taking taylor expansion of -1 in ky
15.579 * [backup-simplify]: Simplify -1 into -1
15.579 * [taylor]: Taking taylor expansion of th in ky
15.579 * [backup-simplify]: Simplify th into th
15.579 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
15.579 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
15.579 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
15.580 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 kx)) (sin (/ -1 ky))) in ky
15.580 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))))
15.580 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))) in ky
15.580 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
15.580 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
15.580 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
15.580 * [taylor]: Taking taylor expansion of -1 in ky
15.580 * [backup-simplify]: Simplify -1 into -1
15.580 * [taylor]: Taking taylor expansion of kx in ky
15.580 * [backup-simplify]: Simplify kx into kx
15.580 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
15.580 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
15.580 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
15.580 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
15.580 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
15.580 * [taylor]: Taking taylor expansion of -1 in ky
15.580 * [backup-simplify]: Simplify -1 into -1
15.580 * [taylor]: Taking taylor expansion of kx in ky
15.580 * [backup-simplify]: Simplify kx into kx
15.580 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
15.580 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
15.580 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
15.580 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
15.580 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
15.580 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
15.580 * [taylor]: Taking taylor expansion of -1 in ky
15.580 * [backup-simplify]: Simplify -1 into -1
15.580 * [taylor]: Taking taylor expansion of ky in ky
15.580 * [backup-simplify]: Simplify 0 into 0
15.580 * [backup-simplify]: Simplify 1 into 1
15.580 * [backup-simplify]: Simplify (/ -1 1) into -1
15.581 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.581 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
15.581 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
15.581 * [taylor]: Taking taylor expansion of -1 in ky
15.581 * [backup-simplify]: Simplify -1 into -1
15.581 * [taylor]: Taking taylor expansion of ky in ky
15.581 * [backup-simplify]: Simplify 0 into 0
15.581 * [backup-simplify]: Simplify 1 into 1
15.581 * [backup-simplify]: Simplify (/ -1 1) into -1
15.581 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.581 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
15.581 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
15.581 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
15.581 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
15.581 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
15.581 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
15.581 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
15.581 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
15.582 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
15.582 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
15.582 * [backup-simplify]: Simplify (+ 0) into 0
15.582 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
15.582 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
15.583 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.583 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
15.583 * [backup-simplify]: Simplify (+ 0 0) into 0
15.584 * [backup-simplify]: Simplify (+ 0) into 0
15.584 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
15.584 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
15.585 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.585 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
15.585 * [backup-simplify]: Simplify (+ 0 0) into 0
15.585 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
15.585 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
15.586 * [backup-simplify]: Simplify (+ 0 0) into 0
15.586 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
15.586 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
15.586 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
15.586 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
15.586 * [backup-simplify]: Simplify (/ (sin (/ -1 th)) (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (* (sin (/ -1 th)) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))
15.586 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 th)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))) in kx
15.586 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in kx
15.586 * [taylor]: Taking taylor expansion of (/ -1 th) in kx
15.586 * [taylor]: Taking taylor expansion of -1 in kx
15.586 * [backup-simplify]: Simplify -1 into -1
15.586 * [taylor]: Taking taylor expansion of th in kx
15.586 * [backup-simplify]: Simplify th into th
15.586 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
15.586 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
15.586 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
15.586 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 kx)) (sin (/ -1 ky))) in kx
15.586 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))))
15.586 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))) in kx
15.586 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in kx
15.586 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
15.586 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
15.586 * [taylor]: Taking taylor expansion of -1 in kx
15.586 * [backup-simplify]: Simplify -1 into -1
15.586 * [taylor]: Taking taylor expansion of kx in kx
15.586 * [backup-simplify]: Simplify 0 into 0
15.586 * [backup-simplify]: Simplify 1 into 1
15.587 * [backup-simplify]: Simplify (/ -1 1) into -1
15.587 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
15.587 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
15.587 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
15.587 * [taylor]: Taking taylor expansion of -1 in kx
15.587 * [backup-simplify]: Simplify -1 into -1
15.587 * [taylor]: Taking taylor expansion of kx in kx
15.587 * [backup-simplify]: Simplify 0 into 0
15.587 * [backup-simplify]: Simplify 1 into 1
15.587 * [backup-simplify]: Simplify (/ -1 1) into -1
15.587 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
15.587 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in kx
15.587 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
15.587 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
15.587 * [taylor]: Taking taylor expansion of -1 in kx
15.587 * [backup-simplify]: Simplify -1 into -1
15.587 * [taylor]: Taking taylor expansion of ky in kx
15.587 * [backup-simplify]: Simplify ky into ky
15.587 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
15.587 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.587 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
15.588 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
15.588 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
15.588 * [taylor]: Taking taylor expansion of -1 in kx
15.588 * [backup-simplify]: Simplify -1 into -1
15.588 * [taylor]: Taking taylor expansion of ky in kx
15.588 * [backup-simplify]: Simplify ky into ky
15.588 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
15.588 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.588 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
15.588 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
15.588 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
15.588 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
15.588 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
15.588 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
15.588 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
15.588 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
15.588 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
15.588 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
15.588 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
15.589 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
15.589 * [backup-simplify]: Simplify (+ 0) into 0
15.589 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
15.589 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
15.590 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.590 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
15.590 * [backup-simplify]: Simplify (+ 0 0) into 0
15.590 * [backup-simplify]: Simplify (+ 0) into 0
15.591 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
15.591 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
15.591 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.592 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
15.592 * [backup-simplify]: Simplify (+ 0 0) into 0
15.592 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
15.592 * [backup-simplify]: Simplify (+ 0 0) into 0
15.592 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
15.593 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
15.593 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
15.593 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
15.593 * [backup-simplify]: Simplify (/ (sin (/ -1 th)) (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (* (sin (/ -1 th)) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))
15.593 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 th)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))) in th
15.593 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in th
15.593 * [taylor]: Taking taylor expansion of (/ -1 th) in th
15.593 * [taylor]: Taking taylor expansion of -1 in th
15.593 * [backup-simplify]: Simplify -1 into -1
15.593 * [taylor]: Taking taylor expansion of th in th
15.593 * [backup-simplify]: Simplify 0 into 0
15.593 * [backup-simplify]: Simplify 1 into 1
15.593 * [backup-simplify]: Simplify (/ -1 1) into -1
15.593 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
15.593 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 kx)) (sin (/ -1 ky))) in th
15.593 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))))
15.593 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))) in th
15.593 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in th
15.593 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in th
15.593 * [taylor]: Taking taylor expansion of (/ -1 kx) in th
15.593 * [taylor]: Taking taylor expansion of -1 in th
15.593 * [backup-simplify]: Simplify -1 into -1
15.593 * [taylor]: Taking taylor expansion of kx in th
15.593 * [backup-simplify]: Simplify kx into kx
15.593 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
15.594 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
15.594 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
15.594 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in th
15.594 * [taylor]: Taking taylor expansion of (/ -1 kx) in th
15.594 * [taylor]: Taking taylor expansion of -1 in th
15.594 * [backup-simplify]: Simplify -1 into -1
15.594 * [taylor]: Taking taylor expansion of kx in th
15.594 * [backup-simplify]: Simplify kx into kx
15.594 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
15.594 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
15.594 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
15.594 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in th
15.594 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
15.594 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
15.594 * [taylor]: Taking taylor expansion of -1 in th
15.594 * [backup-simplify]: Simplify -1 into -1
15.594 * [taylor]: Taking taylor expansion of ky in th
15.594 * [backup-simplify]: Simplify ky into ky
15.594 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
15.594 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.594 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
15.594 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
15.594 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
15.594 * [taylor]: Taking taylor expansion of -1 in th
15.594 * [backup-simplify]: Simplify -1 into -1
15.594 * [taylor]: Taking taylor expansion of ky in th
15.594 * [backup-simplify]: Simplify ky into ky
15.594 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
15.594 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.594 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
15.594 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
15.594 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
15.594 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
15.594 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
15.594 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
15.595 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
15.595 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
15.595 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
15.595 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
15.595 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
15.595 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
15.595 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
15.595 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
15.595 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
15.595 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
15.595 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
15.596 * [backup-simplify]: Simplify (+ 0) into 0
15.596 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
15.596 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
15.597 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.597 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
15.598 * [backup-simplify]: Simplify (+ 0 0) into 0
15.598 * [backup-simplify]: Simplify (+ 0) into 0
15.599 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
15.599 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
15.600 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.600 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
15.600 * [backup-simplify]: Simplify (+ 0 0) into 0
15.601 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
15.601 * [backup-simplify]: Simplify (+ 0) into 0
15.601 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
15.602 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
15.602 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.603 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
15.603 * [backup-simplify]: Simplify (+ 0 0) into 0
15.604 * [backup-simplify]: Simplify (+ 0) into 0
15.604 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
15.604 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
15.605 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.605 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
15.606 * [backup-simplify]: Simplify (+ 0 0) into 0
15.606 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
15.606 * [backup-simplify]: Simplify (+ 0 0) into 0
15.607 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
15.607 * [backup-simplify]: Simplify (/ (sin (/ -1 th)) (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (* (sin (/ -1 th)) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))
15.607 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 th)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))) in th
15.607 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in th
15.607 * [taylor]: Taking taylor expansion of (/ -1 th) in th
15.607 * [taylor]: Taking taylor expansion of -1 in th
15.607 * [backup-simplify]: Simplify -1 into -1
15.607 * [taylor]: Taking taylor expansion of th in th
15.607 * [backup-simplify]: Simplify 0 into 0
15.607 * [backup-simplify]: Simplify 1 into 1
15.608 * [backup-simplify]: Simplify (/ -1 1) into -1
15.608 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
15.608 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 kx)) (sin (/ -1 ky))) in th
15.608 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))))
15.608 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))) in th
15.608 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in th
15.608 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in th
15.608 * [taylor]: Taking taylor expansion of (/ -1 kx) in th
15.608 * [taylor]: Taking taylor expansion of -1 in th
15.608 * [backup-simplify]: Simplify -1 into -1
15.608 * [taylor]: Taking taylor expansion of kx in th
15.608 * [backup-simplify]: Simplify kx into kx
15.608 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
15.608 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
15.608 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
15.608 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in th
15.608 * [taylor]: Taking taylor expansion of (/ -1 kx) in th
15.608 * [taylor]: Taking taylor expansion of -1 in th
15.608 * [backup-simplify]: Simplify -1 into -1
15.608 * [taylor]: Taking taylor expansion of kx in th
15.608 * [backup-simplify]: Simplify kx into kx
15.608 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
15.609 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
15.609 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
15.609 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in th
15.609 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
15.609 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
15.609 * [taylor]: Taking taylor expansion of -1 in th
15.609 * [backup-simplify]: Simplify -1 into -1
15.609 * [taylor]: Taking taylor expansion of ky in th
15.609 * [backup-simplify]: Simplify ky into ky
15.609 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
15.609 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.609 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
15.609 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
15.609 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
15.609 * [taylor]: Taking taylor expansion of -1 in th
15.609 * [backup-simplify]: Simplify -1 into -1
15.609 * [taylor]: Taking taylor expansion of ky in th
15.609 * [backup-simplify]: Simplify ky into ky
15.609 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
15.609 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.609 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
15.609 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
15.610 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
15.610 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
15.610 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
15.610 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
15.610 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
15.610 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
15.610 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
15.610 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
15.610 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
15.610 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
15.610 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
15.611 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
15.611 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
15.611 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
15.611 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
15.612 * [backup-simplify]: Simplify (+ 0) into 0
15.612 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
15.612 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
15.613 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.613 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
15.613 * [backup-simplify]: Simplify (+ 0 0) into 0
15.613 * [backup-simplify]: Simplify (+ 0) into 0
15.614 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
15.614 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
15.614 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.614 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
15.615 * [backup-simplify]: Simplify (+ 0 0) into 0
15.615 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
15.615 * [backup-simplify]: Simplify (+ 0) into 0
15.615 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
15.615 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
15.616 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.616 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
15.616 * [backup-simplify]: Simplify (+ 0 0) into 0
15.617 * [backup-simplify]: Simplify (+ 0) into 0
15.617 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
15.617 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
15.618 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.618 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
15.618 * [backup-simplify]: Simplify (+ 0 0) into 0
15.618 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
15.618 * [backup-simplify]: Simplify (+ 0 0) into 0
15.619 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
15.619 * [backup-simplify]: Simplify (/ (sin (/ -1 th)) (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (* (sin (/ -1 th)) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))
15.619 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) in kx
15.619 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in kx
15.619 * [taylor]: Taking taylor expansion of (/ -1 th) in kx
15.619 * [taylor]: Taking taylor expansion of -1 in kx
15.619 * [backup-simplify]: Simplify -1 into -1
15.619 * [taylor]: Taking taylor expansion of th in kx
15.619 * [backup-simplify]: Simplify th into th
15.619 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
15.619 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
15.619 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
15.619 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in kx
15.619 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx
15.619 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx
15.619 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx
15.619 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
15.619 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
15.619 * [taylor]: Taking taylor expansion of -1 in kx
15.619 * [backup-simplify]: Simplify -1 into -1
15.619 * [taylor]: Taking taylor expansion of kx in kx
15.619 * [backup-simplify]: Simplify 0 into 0
15.619 * [backup-simplify]: Simplify 1 into 1
15.620 * [backup-simplify]: Simplify (/ -1 1) into -1
15.620 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
15.620 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx
15.620 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
15.620 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
15.620 * [taylor]: Taking taylor expansion of -1 in kx
15.620 * [backup-simplify]: Simplify -1 into -1
15.620 * [taylor]: Taking taylor expansion of ky in kx
15.620 * [backup-simplify]: Simplify ky into ky
15.620 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
15.620 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.620 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
15.620 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
15.620 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
15.620 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
15.620 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
15.620 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
15.621 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
15.621 * [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)))
15.621 * [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))))
15.621 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
15.621 * [backup-simplify]: Simplify (+ 0) into 0
15.622 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
15.622 * [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
15.623 * [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 (- (+ (* (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
15.623 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
15.624 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
15.624 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
15.624 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
15.624 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into (* (sin (/ -1 th)) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))
15.624 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) in ky
15.624 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in ky
15.624 * [taylor]: Taking taylor expansion of (/ -1 th) 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 th in ky
15.624 * [backup-simplify]: Simplify th into th
15.624 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
15.624 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
15.624 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
15.624 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in ky
15.624 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in ky
15.624 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in ky
15.624 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in ky
15.624 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
15.624 * [taylor]: Taking taylor expansion of (/ -1 kx) 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 kx in ky
15.624 * [backup-simplify]: Simplify kx into kx
15.624 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
15.624 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
15.625 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
15.625 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
15.625 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
15.625 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
15.625 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in ky
15.625 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
15.625 * [taylor]: Taking taylor expansion of (/ -1 ky) 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 ky in ky
15.625 * [backup-simplify]: Simplify 0 into 0
15.625 * [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 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
15.625 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
15.626 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
15.626 * [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)))
15.626 * [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))))
15.626 * [backup-simplify]: Simplify (+ 0) into 0
15.626 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
15.627 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
15.627 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.627 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
15.628 * [backup-simplify]: Simplify (+ 0 0) into 0
15.628 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
15.628 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
15.628 * [backup-simplify]: Simplify (+ 0 0) into 0
15.628 * [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
15.628 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
15.629 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
15.629 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
15.629 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
15.629 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into (* (sin (/ -1 th)) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))
15.629 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into (* (sin (/ -1 th)) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))
15.630 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (+ (* (* (sin (/ -1 th)) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) into 0
15.630 * [taylor]: Taking taylor expansion of 0 in kx
15.630 * [backup-simplify]: Simplify 0 into 0
15.630 * [taylor]: Taking taylor expansion of 0 in ky
15.630 * [backup-simplify]: Simplify 0 into 0
15.630 * [backup-simplify]: Simplify 0 into 0
15.630 * [backup-simplify]: Simplify (+ 0) into 0
15.630 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 1)) into 0
15.630 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
15.631 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.631 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 0)) into 0
15.632 * [backup-simplify]: Simplify (+ 0 0) into 0
15.632 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
15.632 * [taylor]: Taking taylor expansion of 0 in ky
15.632 * [backup-simplify]: Simplify 0 into 0
15.632 * [backup-simplify]: Simplify 0 into 0
15.632 * [backup-simplify]: Simplify (+ 0) into 0
15.632 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 1)) into 0
15.633 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
15.633 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.633 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 0)) into 0
15.634 * [backup-simplify]: Simplify (+ 0 0) into 0
15.634 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
15.634 * [backup-simplify]: Simplify 0 into 0
15.634 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.635 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
15.635 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
15.635 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.636 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
15.636 * [backup-simplify]: Simplify (+ 0 0) into 0
15.636 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.637 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
15.637 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
15.637 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.638 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
15.638 * [backup-simplify]: Simplify (+ 0 0) into 0
15.638 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
15.639 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.639 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
15.640 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
15.640 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.640 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
15.641 * [backup-simplify]: Simplify (+ 0 0) into 0
15.641 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.642 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
15.642 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
15.642 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.643 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
15.643 * [backup-simplify]: Simplify (+ 0 0) into 0
15.643 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
15.643 * [backup-simplify]: Simplify (+ 0 0) into 0
15.644 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
15.645 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (+ (* (* (sin (/ -1 th)) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) (* 0 (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) into 0
15.645 * [taylor]: Taking taylor expansion of 0 in kx
15.645 * [backup-simplify]: Simplify 0 into 0
15.645 * [taylor]: Taking taylor expansion of 0 in ky
15.645 * [backup-simplify]: Simplify 0 into 0
15.645 * [backup-simplify]: Simplify 0 into 0
15.645 * [taylor]: Taking taylor expansion of 0 in ky
15.645 * [backup-simplify]: Simplify 0 into 0
15.645 * [backup-simplify]: Simplify 0 into 0
15.645 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
15.646 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.646 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
15.647 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
15.647 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.647 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
15.648 * [backup-simplify]: Simplify (+ 0 0) into 0
15.648 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
15.648 * [backup-simplify]: Simplify (+ 0 0) into 0
15.649 * [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
15.649 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
15.650 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.650 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
15.650 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
15.651 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.651 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
15.651 * [backup-simplify]: Simplify (+ 0 0) into 0
15.652 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) into 0
15.652 * [taylor]: Taking taylor expansion of 0 in ky
15.652 * [backup-simplify]: Simplify 0 into 0
15.652 * [backup-simplify]: Simplify 0 into 0
15.652 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- th)))) (sqrt (/ 1 (+ (pow (sin (/ -1 (/ 1 (- kx)))) 2) (pow (sin (/ -1 (/ 1 (- ky)))) 2))))) into (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin th))
15.652 * * * * [progress]: [ 3 / 4 ] generating series at (2 2)
15.652 * [backup-simplify]: Simplify (/ 1 (/ 1 (sin ky))) into (sin ky)
15.652 * [approximate]: Taking taylor expansion of (sin ky) in (ky) around 0
15.652 * [taylor]: Taking taylor expansion of (sin ky) in ky
15.652 * [taylor]: Taking taylor expansion of ky in ky
15.652 * [backup-simplify]: Simplify 0 into 0
15.652 * [backup-simplify]: Simplify 1 into 1
15.652 * [taylor]: Taking taylor expansion of (sin ky) in ky
15.652 * [taylor]: Taking taylor expansion of ky in ky
15.652 * [backup-simplify]: Simplify 0 into 0
15.652 * [backup-simplify]: Simplify 1 into 1
15.653 * [backup-simplify]: Simplify 0 into 0
15.653 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.653 * [backup-simplify]: Simplify 1 into 1
15.653 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.654 * [backup-simplify]: Simplify 0 into 0
15.654 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
15.654 * [backup-simplify]: Simplify -1/6 into -1/6
15.655 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
15.656 * [backup-simplify]: Simplify 0 into 0
15.657 * [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
15.658 * [backup-simplify]: Simplify 1/120 into 1/120
15.658 * [backup-simplify]: Simplify (+ (* 1/120 (pow ky 5)) (+ (* -1/6 (pow ky 3)) (* 1 ky))) into (- (+ (* 1/120 (pow ky 5)) ky) (* 1/6 (pow ky 3)))
15.658 * [backup-simplify]: Simplify (/ 1 (/ 1 (sin (/ 1 ky)))) into (sin (/ 1 ky))
15.658 * [approximate]: Taking taylor expansion of (sin (/ 1 ky)) in (ky) around 0
15.658 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
15.658 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
15.658 * [taylor]: Taking taylor expansion of ky in ky
15.658 * [backup-simplify]: Simplify 0 into 0
15.658 * [backup-simplify]: Simplify 1 into 1
15.658 * [backup-simplify]: Simplify (/ 1 1) into 1
15.658 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.658 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
15.658 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
15.658 * [taylor]: Taking taylor expansion of ky in ky
15.658 * [backup-simplify]: Simplify 0 into 0
15.658 * [backup-simplify]: Simplify 1 into 1
15.659 * [backup-simplify]: Simplify (/ 1 1) into 1
15.659 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.659 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.659 * [backup-simplify]: Simplify 0 into 0
15.659 * [backup-simplify]: Simplify 0 into 0
15.659 * [backup-simplify]: Simplify 0 into 0
15.659 * [backup-simplify]: Simplify 0 into 0
15.659 * [backup-simplify]: Simplify 0 into 0
15.659 * [backup-simplify]: Simplify 0 into 0
15.659 * [backup-simplify]: Simplify (sin (/ 1 (/ 1 ky))) into (sin ky)
15.659 * [backup-simplify]: Simplify (/ 1 (/ 1 (sin (/ 1 (- ky))))) into (sin (/ -1 ky))
15.659 * [approximate]: Taking taylor expansion of (sin (/ -1 ky)) in (ky) around 0
15.659 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
15.659 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
15.659 * [taylor]: Taking taylor expansion of -1 in ky
15.659 * [backup-simplify]: Simplify -1 into -1
15.659 * [taylor]: Taking taylor expansion of ky in ky
15.659 * [backup-simplify]: Simplify 0 into 0
15.659 * [backup-simplify]: Simplify 1 into 1
15.660 * [backup-simplify]: Simplify (/ -1 1) into -1
15.660 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.660 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
15.660 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
15.660 * [taylor]: Taking taylor expansion of -1 in ky
15.660 * [backup-simplify]: Simplify -1 into -1
15.660 * [taylor]: Taking taylor expansion of ky in ky
15.660 * [backup-simplify]: Simplify 0 into 0
15.660 * [backup-simplify]: Simplify 1 into 1
15.660 * [backup-simplify]: Simplify (/ -1 1) into -1
15.660 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.660 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.660 * [backup-simplify]: Simplify 0 into 0
15.660 * [backup-simplify]: Simplify 0 into 0
15.660 * [backup-simplify]: Simplify 0 into 0
15.660 * [backup-simplify]: Simplify 0 into 0
15.660 * [backup-simplify]: Simplify 0 into 0
15.660 * [backup-simplify]: Simplify 0 into 0
15.660 * [backup-simplify]: Simplify (sin (/ -1 (/ 1 (- ky)))) into (sin ky)
15.660 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2)
15.661 * [backup-simplify]: Simplify (/ 1 (sin ky)) into (/ 1 (sin ky))
15.661 * [approximate]: Taking taylor expansion of (/ 1 (sin ky)) in (ky) around 0
15.661 * [taylor]: Taking taylor expansion of (/ 1 (sin ky)) in ky
15.661 * [taylor]: Taking taylor expansion of (sin ky) in ky
15.661 * [taylor]: Taking taylor expansion of ky in ky
15.661 * [backup-simplify]: Simplify 0 into 0
15.661 * [backup-simplify]: Simplify 1 into 1
15.661 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.661 * [backup-simplify]: Simplify (/ 1 1) into 1
15.661 * [taylor]: Taking taylor expansion of (/ 1 (sin ky)) in ky
15.661 * [taylor]: Taking taylor expansion of (sin ky) in ky
15.661 * [taylor]: Taking taylor expansion of ky in ky
15.661 * [backup-simplify]: Simplify 0 into 0
15.661 * [backup-simplify]: Simplify 1 into 1
15.662 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.662 * [backup-simplify]: Simplify (/ 1 1) into 1
15.662 * [backup-simplify]: Simplify 1 into 1
15.663 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.663 * [backup-simplify]: Simplify 0 into 0
15.667 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
15.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/6
15.668 * [backup-simplify]: Simplify 1/6 into 1/6
15.669 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
15.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/6 1)) (* 1/6 (/ 0 1)))) into 0
15.670 * [backup-simplify]: Simplify 0 into 0
15.672 * [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
15.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/120 1)) (* 0 (/ 0 1)) (* 1/6 (/ -1/6 1)) (* 0 (/ 0 1)))) into 7/360
15.673 * [backup-simplify]: Simplify 7/360 into 7/360
15.674 * [backup-simplify]: Simplify (+ (* 7/360 (pow ky 3)) (+ (* 1/6 ky) (* 1 (/ 1 ky)))) into (+ (* 7/360 (pow ky 3)) (+ (/ 1 ky) (* 1/6 ky)))
15.674 * [backup-simplify]: Simplify (/ 1 (sin (/ 1 ky))) into (/ 1 (sin (/ 1 ky)))
15.674 * [approximate]: Taking taylor expansion of (/ 1 (sin (/ 1 ky))) in (ky) around 0
15.674 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ 1 ky))) in ky
15.674 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
15.674 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
15.674 * [taylor]: Taking taylor expansion of ky in ky
15.674 * [backup-simplify]: Simplify 0 into 0
15.674 * [backup-simplify]: Simplify 1 into 1
15.674 * [backup-simplify]: Simplify (/ 1 1) into 1
15.674 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.674 * [backup-simplify]: Simplify (/ 1 (sin (/ 1 ky))) into (/ 1 (sin (/ 1 ky)))
15.674 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ 1 ky))) in ky
15.674 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
15.674 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
15.674 * [taylor]: Taking taylor expansion of ky in ky
15.674 * [backup-simplify]: Simplify 0 into 0
15.674 * [backup-simplify]: Simplify 1 into 1
15.675 * [backup-simplify]: Simplify (/ 1 1) into 1
15.675 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.675 * [backup-simplify]: Simplify (/ 1 (sin (/ 1 ky))) into (/ 1 (sin (/ 1 ky)))
15.675 * [backup-simplify]: Simplify (/ 1 (sin (/ 1 ky))) into (/ 1 (sin (/ 1 ky)))
15.675 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sin (/ 1 ky))) (/ 0 (sin (/ 1 ky)))))) into 0
15.675 * [backup-simplify]: Simplify 0 into 0
15.675 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sin (/ 1 ky))) (/ 0 (sin (/ 1 ky)))) (* 0 (/ 0 (sin (/ 1 ky)))))) into 0
15.675 * [backup-simplify]: Simplify 0 into 0
15.675 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sin (/ 1 ky))) (/ 0 (sin (/ 1 ky)))) (* 0 (/ 0 (sin (/ 1 ky)))) (* 0 (/ 0 (sin (/ 1 ky)))))) into 0
15.675 * [backup-simplify]: Simplify 0 into 0
15.676 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sin (/ 1 ky))) (/ 0 (sin (/ 1 ky)))) (* 0 (/ 0 (sin (/ 1 ky)))) (* 0 (/ 0 (sin (/ 1 ky)))) (* 0 (/ 0 (sin (/ 1 ky)))))) into 0
15.676 * [backup-simplify]: Simplify 0 into 0
15.676 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sin (/ 1 ky))) (/ 0 (sin (/ 1 ky)))) (* 0 (/ 0 (sin (/ 1 ky)))) (* 0 (/ 0 (sin (/ 1 ky)))) (* 0 (/ 0 (sin (/ 1 ky)))) (* 0 (/ 0 (sin (/ 1 ky)))))) into 0
15.676 * [backup-simplify]: Simplify 0 into 0
15.676 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sin (/ 1 ky))) (/ 0 (sin (/ 1 ky)))) (* 0 (/ 0 (sin (/ 1 ky)))) (* 0 (/ 0 (sin (/ 1 ky)))) (* 0 (/ 0 (sin (/ 1 ky)))) (* 0 (/ 0 (sin (/ 1 ky)))) (* 0 (/ 0 (sin (/ 1 ky)))))) into 0
15.676 * [backup-simplify]: Simplify 0 into 0
15.676 * [backup-simplify]: Simplify (/ 1 (sin (/ 1 (/ 1 ky)))) into (/ 1 (sin ky))
15.676 * [backup-simplify]: Simplify (/ 1 (sin (/ 1 (- ky)))) into (/ 1 (sin (/ -1 ky)))
15.676 * [approximate]: Taking taylor expansion of (/ 1 (sin (/ -1 ky))) in (ky) around 0
15.677 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ -1 ky))) in ky
15.677 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
15.677 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
15.677 * [taylor]: Taking taylor expansion of -1 in ky
15.677 * [backup-simplify]: Simplify -1 into -1
15.677 * [taylor]: Taking taylor expansion of ky in ky
15.677 * [backup-simplify]: Simplify 0 into 0
15.677 * [backup-simplify]: Simplify 1 into 1
15.677 * [backup-simplify]: Simplify (/ -1 1) into -1
15.677 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.677 * [backup-simplify]: Simplify (/ 1 (sin (/ -1 ky))) into (/ 1 (sin (/ -1 ky)))
15.677 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ -1 ky))) in ky
15.677 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
15.677 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
15.677 * [taylor]: Taking taylor expansion of -1 in ky
15.677 * [backup-simplify]: Simplify -1 into -1
15.677 * [taylor]: Taking taylor expansion of ky in ky
15.677 * [backup-simplify]: Simplify 0 into 0
15.677 * [backup-simplify]: Simplify 1 into 1
15.677 * [backup-simplify]: Simplify (/ -1 1) into -1
15.678 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.678 * [backup-simplify]: Simplify (/ 1 (sin (/ -1 ky))) into (/ 1 (sin (/ -1 ky)))
15.678 * [backup-simplify]: Simplify (/ 1 (sin (/ -1 ky))) into (/ 1 (sin (/ -1 ky)))
15.678 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sin (/ -1 ky))) (/ 0 (sin (/ -1 ky)))))) into 0
15.678 * [backup-simplify]: Simplify 0 into 0
15.678 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sin (/ -1 ky))) (/ 0 (sin (/ -1 ky)))) (* 0 (/ 0 (sin (/ -1 ky)))))) into 0
15.678 * [backup-simplify]: Simplify 0 into 0
15.678 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sin (/ -1 ky))) (/ 0 (sin (/ -1 ky)))) (* 0 (/ 0 (sin (/ -1 ky)))) (* 0 (/ 0 (sin (/ -1 ky)))))) into 0
15.678 * [backup-simplify]: Simplify 0 into 0
15.678 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sin (/ -1 ky))) (/ 0 (sin (/ -1 ky)))) (* 0 (/ 0 (sin (/ -1 ky)))) (* 0 (/ 0 (sin (/ -1 ky)))) (* 0 (/ 0 (sin (/ -1 ky)))))) into 0
15.678 * [backup-simplify]: Simplify 0 into 0
15.679 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sin (/ -1 ky))) (/ 0 (sin (/ -1 ky)))) (* 0 (/ 0 (sin (/ -1 ky)))) (* 0 (/ 0 (sin (/ -1 ky)))) (* 0 (/ 0 (sin (/ -1 ky)))) (* 0 (/ 0 (sin (/ -1 ky)))))) into 0
15.679 * [backup-simplify]: Simplify 0 into 0
15.679 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sin (/ -1 ky))) (/ 0 (sin (/ -1 ky)))) (* 0 (/ 0 (sin (/ -1 ky)))) (* 0 (/ 0 (sin (/ -1 ky)))) (* 0 (/ 0 (sin (/ -1 ky)))) (* 0 (/ 0 (sin (/ -1 ky)))) (* 0 (/ 0 (sin (/ -1 ky)))))) into 0
15.679 * [backup-simplify]: Simplify 0 into 0
15.679 * [backup-simplify]: Simplify (/ 1 (sin (/ -1 (/ 1 (- ky))))) into (/ 1 (sin ky))
15.679 * * * [progress]: simplifying candidates
15.679 * * * * [progress]: [ 1 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (log1p (expm1 (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (/ 1 (sin ky)))))))>
15.679 * * * * [progress]: [ 2 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (expm1 (log1p (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (/ 1 (sin ky)))))))>
15.679 * * * * [progress]: [ 3 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (pow (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (/ 1 (sin ky)))) 1))>
15.679 * * * * [progress]: [ 4 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (pow (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (/ 1 (sin ky)))) 1))>
15.679 * * * * [progress]: [ 5 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (exp (+ (- (log (sin th)) (log (hypot (sin kx) (sin ky)))) (- (- (log (sin ky)))))))>
15.680 * * * * [progress]: [ 6 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (exp (+ (- (log (sin th)) (log (hypot (sin kx) (sin ky)))) (- (- 0 (log (sin ky)))))))>
15.680 * * * * [progress]: [ 7 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (exp (+ (- (log (sin th)) (log (hypot (sin kx) (sin ky)))) (- (- (log 1) (log (sin ky)))))))>
15.680 * * * * [progress]: [ 8 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (exp (+ (- (log (sin th)) (log (hypot (sin kx) (sin ky)))) (- (log (/ 1 (sin ky)))))))>
15.680 * * * * [progress]: [ 9 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (exp (+ (- (log (sin th)) (log (hypot (sin kx) (sin ky)))) (- 0 (- (log (sin ky)))))))>
15.680 * * * * [progress]: [ 10 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (exp (+ (- (log (sin th)) (log (hypot (sin kx) (sin ky)))) (- 0 (- 0 (log (sin ky)))))))>
15.680 * * * * [progress]: [ 11 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (exp (+ (- (log (sin th)) (log (hypot (sin kx) (sin ky)))) (- 0 (- (log 1) (log (sin ky)))))))>
15.680 * * * * [progress]: [ 12 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (exp (+ (- (log (sin th)) (log (hypot (sin kx) (sin ky)))) (- 0 (log (/ 1 (sin ky)))))))>
15.680 * * * * [progress]: [ 13 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (exp (+ (- (log (sin th)) (log (hypot (sin kx) (sin ky)))) (- (log 1) (- (log (sin ky)))))))>
15.680 * * * * [progress]: [ 14 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (exp (+ (- (log (sin th)) (log (hypot (sin kx) (sin ky)))) (- (log 1) (- 0 (log (sin ky)))))))>
15.680 * * * * [progress]: [ 15 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (exp (+ (- (log (sin th)) (log (hypot (sin kx) (sin ky)))) (- (log 1) (- (log 1) (log (sin ky)))))))>
15.680 * * * * [progress]: [ 16 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (exp (+ (- (log (sin th)) (log (hypot (sin kx) (sin ky)))) (- (log 1) (log (/ 1 (sin ky)))))))>
15.680 * * * * [progress]: [ 17 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (exp (+ (- (log (sin th)) (log (hypot (sin kx) (sin ky)))) (log (/ 1 (/ 1 (sin ky)))))))>
15.680 * * * * [progress]: [ 18 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (exp (+ (log (/ (sin th) (hypot (sin kx) (sin ky)))) (- (- (log (sin ky)))))))>
15.680 * * * * [progress]: [ 19 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (exp (+ (log (/ (sin th) (hypot (sin kx) (sin ky)))) (- (- 0 (log (sin ky)))))))>
15.680 * * * * [progress]: [ 20 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (exp (+ (log (/ (sin th) (hypot (sin kx) (sin ky)))) (- (- (log 1) (log (sin ky)))))))>
15.680 * * * * [progress]: [ 21 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (exp (+ (log (/ (sin th) (hypot (sin kx) (sin ky)))) (- (log (/ 1 (sin ky)))))))>
15.680 * * * * [progress]: [ 22 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (exp (+ (log (/ (sin th) (hypot (sin kx) (sin ky)))) (- 0 (- (log (sin ky)))))))>
15.680 * * * * [progress]: [ 23 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (exp (+ (log (/ (sin th) (hypot (sin kx) (sin ky)))) (- 0 (- 0 (log (sin ky)))))))>
15.680 * * * * [progress]: [ 24 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (exp (+ (log (/ (sin th) (hypot (sin kx) (sin ky)))) (- 0 (- (log 1) (log (sin ky)))))))>
15.680 * * * * [progress]: [ 25 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (exp (+ (log (/ (sin th) (hypot (sin kx) (sin ky)))) (- 0 (log (/ 1 (sin ky)))))))>
15.680 * * * * [progress]: [ 26 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (exp (+ (log (/ (sin th) (hypot (sin kx) (sin ky)))) (- (log 1) (- (log (sin ky)))))))>
15.680 * * * * [progress]: [ 27 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (exp (+ (log (/ (sin th) (hypot (sin kx) (sin ky)))) (- (log 1) (- 0 (log (sin ky)))))))>
15.680 * * * * [progress]: [ 28 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (exp (+ (log (/ (sin th) (hypot (sin kx) (sin ky)))) (- (log 1) (- (log 1) (log (sin ky)))))))>
15.680 * * * * [progress]: [ 29 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (exp (+ (log (/ (sin th) (hypot (sin kx) (sin ky)))) (- (log 1) (log (/ 1 (sin ky)))))))>
15.681 * * * * [progress]: [ 30 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (exp (+ (log (/ (sin th) (hypot (sin kx) (sin ky)))) (log (/ 1 (/ 1 (sin ky)))))))>
15.681 * * * * [progress]: [ 31 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (exp (log (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (/ 1 (sin ky)))))))>
15.681 * * * * [progress]: [ 32 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (log (exp (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (/ 1 (sin ky)))))))>
15.681 * * * * [progress]: [ 33 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (cbrt (* (/ (* (* (sin th) (sin th)) (sin th)) (* (* (hypot (sin kx) (sin ky)) (hypot (sin kx) (sin ky))) (hypot (sin kx) (sin ky)))) (/ (* (* 1 1) 1) (/ (* (* 1 1) 1) (* (* (sin ky) (sin ky)) (sin ky)))))))>
15.681 * * * * [progress]: [ 34 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (cbrt (* (/ (* (* (sin th) (sin th)) (sin th)) (* (* (hypot (sin kx) (sin ky)) (hypot (sin kx) (sin ky))) (hypot (sin kx) (sin ky)))) (/ (* (* 1 1) 1) (* (* (/ 1 (sin ky)) (/ 1 (sin ky))) (/ 1 (sin ky)))))))>
15.681 * * * * [progress]: [ 35 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (cbrt (* (/ (* (* (sin th) (sin th)) (sin th)) (* (* (hypot (sin kx) (sin ky)) (hypot (sin kx) (sin ky))) (hypot (sin kx) (sin ky)))) (* (* (/ 1 (/ 1 (sin ky))) (/ 1 (/ 1 (sin ky)))) (/ 1 (/ 1 (sin ky)))))))>
15.681 * * * * [progress]: [ 36 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (cbrt (* (* (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ (sin th) (hypot (sin kx) (sin ky)))) (/ (sin th) (hypot (sin kx) (sin ky)))) (/ (* (* 1 1) 1) (/ (* (* 1 1) 1) (* (* (sin ky) (sin ky)) (sin ky)))))))>
15.681 * * * * [progress]: [ 37 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (cbrt (* (* (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ (sin th) (hypot (sin kx) (sin ky)))) (/ (sin th) (hypot (sin kx) (sin ky)))) (/ (* (* 1 1) 1) (* (* (/ 1 (sin ky)) (/ 1 (sin ky))) (/ 1 (sin ky)))))))>
15.681 * * * * [progress]: [ 38 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (cbrt (* (* (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ (sin th) (hypot (sin kx) (sin ky)))) (/ (sin th) (hypot (sin kx) (sin ky)))) (* (* (/ 1 (/ 1 (sin ky))) (/ 1 (/ 1 (sin ky)))) (/ 1 (/ 1 (sin ky)))))))>
15.681 * * * * [progress]: [ 39 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (cbrt (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (/ 1 (sin ky))))) (cbrt (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (/ 1 (sin ky)))))) (cbrt (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (/ 1 (sin ky)))))))>
15.681 * * * * [progress]: [ 40 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (cbrt (* (* (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (/ 1 (sin ky)))) (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (/ 1 (sin ky))))) (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (/ 1 (sin ky)))))))>
15.681 * * * * [progress]: [ 41 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (sqrt (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (/ 1 (sin ky))))) (sqrt (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (/ 1 (sin ky)))))))>
15.681 * * * * [progress]: [ 42 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (/ (* (sin th) 1) (* (hypot (sin kx) (sin ky)) (/ 1 (sin ky)))))>
15.681 * * * * [progress]: [ 43 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* 1 (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (/ 1 (sin ky))))))>
15.681 * * * * [progress]: [ 44 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (/ (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (sin ky))))>
15.681 * * * * [progress]: [ 45 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sqrt (/ (sin th) (hypot (sin kx) (sin ky)))) (sqrt (/ 1 (/ 1 (sin ky))))) (* (sqrt (/ (sin th) (hypot (sin kx) (sin ky)))) (sqrt (/ 1 (/ 1 (sin ky)))))))>
15.681 * * * * [progress]: [ 46 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sqrt (/ (sin th) (hypot (sin kx) (sin ky)))) (/ (sqrt 1) (sqrt (/ 1 (sin ky))))) (* (sqrt (/ (sin th) (hypot (sin kx) (sin ky)))) (/ (sqrt 1) (sqrt (/ 1 (sin ky)))))))>
15.681 * * * * [progress]: [ 47 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sqrt (/ (sin th) (hypot (sin kx) (sin ky)))) (/ (sqrt 1) (/ (sqrt 1) (sqrt (sin ky))))) (* (sqrt (/ (sin th) (hypot (sin kx) (sin ky)))) (/ (sqrt 1) (/ (sqrt 1) (sqrt (sin ky)))))))>
15.681 * * * * [progress]: [ 48 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sqrt (/ (sin th) (hypot (sin kx) (sin ky)))) (/ (sqrt 1) (/ 1 (sqrt (sin ky))))) (* (sqrt (/ (sin th) (hypot (sin kx) (sin ky)))) (/ (sqrt 1) (/ 1 (sqrt (sin ky)))))))>
15.681 * * * * [progress]: [ 49 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sqrt (/ (sin th) (hypot (sin kx) (sin ky)))) (/ 1 (sqrt (/ 1 (sin ky))))) (* (sqrt (/ (sin th) (hypot (sin kx) (sin ky)))) (/ 1 (sqrt (/ 1 (sin ky)))))))>
15.681 * * * * [progress]: [ 50 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sqrt (/ (sin th) (hypot (sin kx) (sin ky)))) (/ 1 (/ (sqrt 1) (sqrt (sin ky))))) (* (sqrt (/ (sin th) (hypot (sin kx) (sin ky)))) (/ 1 (/ (sqrt 1) (sqrt (sin ky)))))))>
15.681 * * * * [progress]: [ 51 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sqrt (/ (sin th) (hypot (sin kx) (sin ky)))) (/ 1 (/ 1 (sqrt (sin ky))))) (* (sqrt (/ (sin th) (hypot (sin kx) (sin ky)))) (/ 1 (/ 1 (sqrt (sin ky)))))))>
15.681 * * * * [progress]: [ 52 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (/ (sqrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (/ 1 (/ 1 (sin ky))))) (* (/ (sqrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (/ 1 (/ 1 (sin ky)))))))>
15.682 * * * * [progress]: [ 53 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (/ (sqrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (/ (sqrt 1) (sqrt (/ 1 (sin ky))))) (* (/ (sqrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (/ (sqrt 1) (sqrt (/ 1 (sin ky)))))))>
15.682 * * * * [progress]: [ 54 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (/ (sqrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (/ (sqrt 1) (/ (sqrt 1) (sqrt (sin ky))))) (* (/ (sqrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (/ (sqrt 1) (/ (sqrt 1) (sqrt (sin ky)))))))>
15.682 * * * * [progress]: [ 55 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (/ (sqrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (/ (sqrt 1) (/ 1 (sqrt (sin ky))))) (* (/ (sqrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (/ (sqrt 1) (/ 1 (sqrt (sin ky)))))))>
15.682 * * * * [progress]: [ 56 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (/ (sqrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (/ 1 (sqrt (/ 1 (sin ky))))) (* (/ (sqrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (/ 1 (sqrt (/ 1 (sin ky)))))))>
15.682 * * * * [progress]: [ 57 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (/ (sqrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (/ 1 (/ (sqrt 1) (sqrt (sin ky))))) (* (/ (sqrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (/ 1 (/ (sqrt 1) (sqrt (sin ky)))))))>
15.682 * * * * [progress]: [ 58 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (/ (sqrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (/ 1 (/ 1 (sqrt (sin ky))))) (* (/ (sqrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (/ 1 (/ 1 (sqrt (sin ky)))))))>
15.682 * * * * [progress]: [ 59 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (/ (sin th) (hypot (sin kx) (sin ky))) (* (cbrt (/ 1 (/ 1 (sin ky)))) (cbrt (/ 1 (/ 1 (sin ky)))))) (cbrt (/ 1 (/ 1 (sin ky))))))>
15.682 * * * * [progress]: [ 60 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (/ (sin th) (hypot (sin kx) (sin ky))) (sqrt (/ 1 (/ 1 (sin ky))))) (sqrt (/ 1 (/ 1 (sin ky))))))>
15.682 * * * * [progress]: [ 61 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ 1 (sin ky))) (cbrt (/ 1 (sin ky)))))) (/ (cbrt 1) (cbrt (/ 1 (sin ky))))))>
15.682 * * * * [progress]: [ 62 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ 1 (sin ky))))) (/ (cbrt 1) (sqrt (/ 1 (sin ky))))))>
15.682 * * * * [progress]: [ 63 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sin ky)) (cbrt (sin ky)))))) (/ (cbrt 1) (/ (cbrt 1) (cbrt (sin ky))))))>
15.682 * * * * [progress]: [ 64 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sin ky))))) (/ (cbrt 1) (/ (cbrt 1) (sqrt (sin ky))))))>
15.682 * * * * [progress]: [ 65 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt 1) (cbrt 1)) 1))) (/ (cbrt 1) (/ (cbrt 1) (sin ky)))))>
15.682 * * * * [progress]: [ 66 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (* (cbrt (sin ky)) (cbrt (sin ky)))))) (/ (cbrt 1) (/ (sqrt 1) (cbrt (sin ky))))))>
15.682 * * * * [progress]: [ 67 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (sqrt (sin ky))))) (/ (cbrt 1) (/ (sqrt 1) (sqrt (sin ky))))))>
15.682 * * * * [progress]: [ 68 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) 1))) (/ (cbrt 1) (/ (sqrt 1) (sin ky)))))>
15.682 * * * * [progress]: [ 69 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky)))))) (/ (cbrt 1) (/ 1 (cbrt (sin ky))))))>
15.682 * * * * [progress]: [ 70 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt (sin ky))))) (/ (cbrt 1) (/ 1 (sqrt (sin ky))))))>
15.682 * * * * [progress]: [ 71 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1))) (/ (cbrt 1) (/ 1 (sin ky)))))>
15.682 * * * * [progress]: [ 72 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ (* (cbrt 1) (cbrt 1)) 1)) (/ (cbrt 1) (/ 1 (sin ky)))))>
15.682 * * * * [progress]: [ 73 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ (* (cbrt 1) (cbrt 1)) 1)) (/ (cbrt 1) (/ 1 (sin ky)))))>
15.683 * * * * [progress]: [ 74 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ (sqrt 1) (* (cbrt (/ 1 (sin ky))) (cbrt (/ 1 (sin ky)))))) (/ (sqrt 1) (cbrt (/ 1 (sin ky))))))>
15.683 * * * * [progress]: [ 75 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ (sqrt 1) (sqrt (/ 1 (sin ky))))) (/ (sqrt 1) (sqrt (/ 1 (sin ky))))))>
15.683 * * * * [progress]: [ 76 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ (sqrt 1) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sin ky)) (cbrt (sin ky)))))) (/ (sqrt 1) (/ (cbrt 1) (cbrt (sin ky))))))>
15.683 * * * * [progress]: [ 77 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ (sqrt 1) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sin ky))))) (/ (sqrt 1) (/ (cbrt 1) (sqrt (sin ky))))))>
15.683 * * * * [progress]: [ 78 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ (sqrt 1) (/ (* (cbrt 1) (cbrt 1)) 1))) (/ (sqrt 1) (/ (cbrt 1) (sin ky)))))>
15.683 * * * * [progress]: [ 79 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ (sqrt 1) (/ (sqrt 1) (* (cbrt (sin ky)) (cbrt (sin ky)))))) (/ (sqrt 1) (/ (sqrt 1) (cbrt (sin ky))))))>
15.683 * * * * [progress]: [ 80 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ (sqrt 1) (/ (sqrt 1) (sqrt (sin ky))))) (/ (sqrt 1) (/ (sqrt 1) (sqrt (sin ky))))))>
15.683 * * * * [progress]: [ 81 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ (sqrt 1) (/ (sqrt 1) 1))) (/ (sqrt 1) (/ (sqrt 1) (sin ky)))))>
15.683 * * * * [progress]: [ 82 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ (sqrt 1) (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky)))))) (/ (sqrt 1) (/ 1 (cbrt (sin ky))))))>
15.683 * * * * [progress]: [ 83 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ (sqrt 1) (/ 1 (sqrt (sin ky))))) (/ (sqrt 1) (/ 1 (sqrt (sin ky))))))>
15.683 * * * * [progress]: [ 84 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ (sqrt 1) (/ 1 1))) (/ (sqrt 1) (/ 1 (sin ky)))))>
15.683 * * * * [progress]: [ 85 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ (sqrt 1) 1)) (/ (sqrt 1) (/ 1 (sin ky)))))>
15.683 * * * * [progress]: [ 86 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ (sqrt 1) 1)) (/ (sqrt 1) (/ 1 (sin ky)))))>
15.683 * * * * [progress]: [ 87 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (* (cbrt (/ 1 (sin ky))) (cbrt (/ 1 (sin ky)))))) (/ 1 (cbrt (/ 1 (sin ky))))))>
15.683 * * * * [progress]: [ 88 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (sqrt (/ 1 (sin ky))))) (/ 1 (sqrt (/ 1 (sin ky))))))>
15.683 * * * * [progress]: [ 89 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sin ky)) (cbrt (sin ky)))))) (/ 1 (/ (cbrt 1) (cbrt (sin ky))))))>
15.683 * * * * [progress]: [ 90 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (/ (* (cbrt 1) (cbrt 1)) (sqrt (sin ky))))) (/ 1 (/ (cbrt 1) (sqrt (sin ky))))))>
15.683 * * * * [progress]: [ 91 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (/ (* (cbrt 1) (cbrt 1)) 1))) (/ 1 (/ (cbrt 1) (sin ky)))))>
15.683 * * * * [progress]: [ 92 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (/ (sqrt 1) (* (cbrt (sin ky)) (cbrt (sin ky)))))) (/ 1 (/ (sqrt 1) (cbrt (sin ky))))))>
15.683 * * * * [progress]: [ 93 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (/ (sqrt 1) (sqrt (sin ky))))) (/ 1 (/ (sqrt 1) (sqrt (sin ky))))))>
15.684 * * * * [progress]: [ 94 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (/ (sqrt 1) 1))) (/ 1 (/ (sqrt 1) (sin ky)))))>
15.684 * * * * [progress]: [ 95 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky)))))) (/ 1 (/ 1 (cbrt (sin ky))))))>
15.684 * * * * [progress]: [ 96 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (/ 1 (sqrt (sin ky))))) (/ 1 (/ 1 (sqrt (sin ky))))))>
15.684 * * * * [progress]: [ 97 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (/ 1 1))) (/ 1 (/ 1 (sin ky)))))>
15.684 * * * * [progress]: [ 98 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 1)) (/ 1 (/ 1 (sin ky)))))>
15.684 * * * * [progress]: [ 99 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 1)) (/ 1 (/ 1 (sin ky)))))>
15.684 * * * * [progress]: [ 100 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (/ (sin th) (hypot (sin kx) (sin ky))) 1) (/ 1 (/ 1 (sin ky)))))>
15.684 * * * * [progress]: [ 101 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (/ (sin th) (hypot (sin kx) (sin ky))) 1) (/ 1 (/ 1 (sin ky)))))>
15.684 * * * * [progress]: [ 102 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 1)) (sin ky)))>
15.684 * * * * [progress]: [ 103 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (cbrt (/ (sin th) (hypot (sin kx) (sin ky)))) (cbrt (/ (sin th) (hypot (sin kx) (sin ky))))) (* (cbrt (/ (sin th) (hypot (sin kx) (sin ky)))) (/ 1 (/ 1 (sin ky))))))>
15.684 * * * * [progress]: [ 104 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (sqrt (/ (sin th) (hypot (sin kx) (sin ky)))) (* (sqrt (/ (sin th) (hypot (sin kx) (sin ky)))) (/ 1 (/ 1 (sin ky))))))>
15.684 * * * * [progress]: [ 105 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (* (cbrt (sin th)) (cbrt (sin th))) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) (* (/ (cbrt (sin th)) (cbrt (hypot (sin kx) (sin ky)))) (/ 1 (/ 1 (sin ky))))))>
15.684 * * * * [progress]: [ 106 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (hypot (sin kx) (sin ky)))) (* (/ (cbrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (/ 1 (/ 1 (sin ky))))))>
15.684 * * * * [progress]: [ 107 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (* (cbrt (sin th)) (cbrt (sin th))) 1) (* (/ (cbrt (sin th)) (hypot (sin kx) (sin ky))) (/ 1 (/ 1 (sin ky))))))>
15.684 * * * * [progress]: [ 108 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sqrt (sin th)) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) (* (/ (sqrt (sin th)) (cbrt (hypot (sin kx) (sin ky)))) (/ 1 (/ 1 (sin ky))))))>
15.684 * * * * [progress]: [ 109 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sqrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (* (/ (sqrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (/ 1 (/ 1 (sin ky))))))>
15.684 * * * * [progress]: [ 110 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sqrt (sin th)) 1) (* (/ (sqrt (sin th)) (hypot (sin kx) (sin ky))) (/ 1 (/ 1 (sin ky))))))>
15.684 * * * * [progress]: [ 111 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ 1 (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) (* (/ (sin th) (cbrt (hypot (sin kx) (sin ky)))) (/ 1 (/ 1 (sin ky))))))>
15.684 * * * * [progress]: [ 112 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ 1 (sqrt (hypot (sin kx) (sin ky)))) (* (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))) (/ 1 (/ 1 (sin ky))))))>
15.684 * * * * [progress]: [ 113 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ 1 1) (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (/ 1 (sin ky))))))>
15.685 * * * * [progress]: [ 114 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* 1 (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (/ 1 (sin ky))))))>
15.685 * * * * [progress]: [ 115 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ 1 (hypot (sin kx) (sin ky))) (/ 1 (/ 1 (sin ky))))))>
15.685 * * * * [progress]: [ 116 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (/ (* (/ (sin th) (hypot (sin kx) (sin ky))) 1) (/ 1 (sin ky))))>
15.685 * * * * [progress]: [ 117 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (/ (* (sin th) (/ 1 (/ 1 (sin ky)))) (hypot (sin kx) (sin ky))))>
15.685 * * * * [progress]: [ 118 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (posit16->real (real->posit16 (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (/ 1 (sin ky)))))))>
15.685 * * * * [progress]: [ 119 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ 1 (/ 1 (sin ky))) (/ (sin th) (hypot (sin kx) (sin ky)))))>
15.685 * * * * [progress]: [ 120 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (log1p (expm1 (/ (sin th) (hypot (sin kx) (sin ky))))) (/ 1 (/ 1 (sin ky)))))>
15.685 * * * * [progress]: [ 121 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (expm1 (log1p (/ (sin th) (hypot (sin kx) (sin ky))))) (/ 1 (/ 1 (sin ky)))))>
15.685 * * * * [progress]: [ 122 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (pow (/ (sin th) (hypot (sin kx) (sin ky))) 1) (/ 1 (/ 1 (sin ky)))))>
15.685 * * * * [progress]: [ 123 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (exp (- (log (sin th)) (log (hypot (sin kx) (sin ky))))) (/ 1 (/ 1 (sin ky)))))>
15.685 * * * * [progress]: [ 124 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (exp (log (/ (sin th) (hypot (sin kx) (sin ky))))) (/ 1 (/ 1 (sin ky)))))>
15.685 * * * * [progress]: [ 125 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (log (exp (/ (sin th) (hypot (sin kx) (sin ky))))) (/ 1 (/ 1 (sin ky)))))>
15.685 * * * * [progress]: [ 126 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (cbrt (/ (* (* (sin th) (sin th)) (sin th)) (* (* (hypot (sin kx) (sin ky)) (hypot (sin kx) (sin ky))) (hypot (sin kx) (sin ky))))) (/ 1 (/ 1 (sin ky)))))>
15.685 * * * * [progress]: [ 127 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (* (cbrt (/ (sin th) (hypot (sin kx) (sin ky)))) (cbrt (/ (sin th) (hypot (sin kx) (sin ky))))) (cbrt (/ (sin th) (hypot (sin kx) (sin ky))))) (/ 1 (/ 1 (sin ky)))))>
15.685 * * * * [progress]: [ 128 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (cbrt (* (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ (sin th) (hypot (sin kx) (sin ky)))) (/ (sin th) (hypot (sin kx) (sin ky))))) (/ 1 (/ 1 (sin ky)))))>
15.686 * * * * [progress]: [ 129 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sqrt (/ (sin th) (hypot (sin kx) (sin ky)))) (sqrt (/ (sin th) (hypot (sin kx) (sin ky))))) (/ 1 (/ 1 (sin ky)))))>
15.686 * * * * [progress]: [ 130 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (- (sin th)) (- (hypot (sin kx) (sin ky)))) (/ 1 (/ 1 (sin ky)))))>
15.686 * * * * [progress]: [ 131 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (/ (* (cbrt (sin th)) (cbrt (sin th))) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sin th)) (cbrt (hypot (sin kx) (sin ky))))) (/ 1 (/ 1 (sin ky)))))>
15.686 * * * * [progress]: [ 132 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (hypot (sin kx) (sin ky)))) (/ (cbrt (sin th)) (sqrt (hypot (sin kx) (sin ky))))) (/ 1 (/ 1 (sin ky)))))>
15.686 * * * * [progress]: [ 133 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (/ (* (cbrt (sin th)) (cbrt (sin th))) 1) (/ (cbrt (sin th)) (hypot (sin kx) (sin ky)))) (/ 1 (/ 1 (sin ky)))))>
15.686 * * * * [progress]: [ 134 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (/ (sqrt (sin th)) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) (/ (sqrt (sin th)) (cbrt (hypot (sin kx) (sin ky))))) (/ 1 (/ 1 (sin ky)))))>
15.686 * * * * [progress]: [ 135 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (/ (sqrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (/ (sqrt (sin th)) (sqrt (hypot (sin kx) (sin ky))))) (/ 1 (/ 1 (sin ky)))))>
15.686 * * * * [progress]: [ 136 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (/ (sqrt (sin th)) 1) (/ (sqrt (sin th)) (hypot (sin kx) (sin ky)))) (/ 1 (/ 1 (sin ky)))))>
15.686 * * * * [progress]: [ 137 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (/ 1 (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) (/ (sin th) (cbrt (hypot (sin kx) (sin ky))))) (/ 1 (/ 1 (sin ky)))))>
15.686 * * * * [progress]: [ 138 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (/ 1 (sqrt (hypot (sin kx) (sin ky)))) (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (/ 1 (/ 1 (sin ky)))))>
15.686 * * * * [progress]: [ 139 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (/ 1 1) (/ (sin th) (hypot (sin kx) (sin ky)))) (/ 1 (/ 1 (sin ky)))))>
15.686 * * * * [progress]: [ 140 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (* 1 (/ (sin th) (hypot (sin kx) (sin ky)))) (/ 1 (/ 1 (sin ky)))))>
15.686 * * * * [progress]: [ 141 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ 1 (hypot (sin kx) (sin ky)))) (/ 1 (/ 1 (sin ky)))))>
15.686 * * * * [progress]: [ 142 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ 1 (/ (hypot (sin kx) (sin ky)) (sin th))) (/ 1 (/ 1 (sin ky)))))>
15.686 * * * * [progress]: [ 143 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (/ (sin th) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) (cbrt (hypot (sin kx) (sin ky)))) (/ 1 (/ 1 (sin ky)))))>
15.686 * * * * [progress]: [ 144 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (hypot (sin kx) (sin ky)))) (/ 1 (/ 1 (sin ky)))))>
15.686 * * * * [progress]: [ 145 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (/ (sin th) 1) (hypot (sin kx) (sin ky))) (/ 1 (/ 1 (sin ky)))))>
15.686 * * * * [progress]: [ 146 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (* (cbrt (sin th)) (cbrt (sin th))) (/ (hypot (sin kx) (sin ky)) (cbrt (sin th)))) (/ 1 (/ 1 (sin ky)))))>
15.686 * * * * [progress]: [ 147 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sqrt (sin th)) (/ (hypot (sin kx) (sin ky)) (sqrt (sin th)))) (/ 1 (/ 1 (sin ky)))))>
15.686 * * * * [progress]: [ 148 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ 1 (/ (hypot (sin kx) (sin ky)) (sin th))) (/ 1 (/ 1 (sin ky)))))>
15.686 * * * * [progress]: [ 149 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (posit16->real (real->posit16 (/ (sin th) (hypot (sin kx) (sin ky))))) (/ 1 (/ 1 (sin ky)))))>
15.686 * * * * [progress]: [ 150 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (log1p (expm1 (/ 1 (/ 1 (sin ky)))))))>
15.686 * * * * [progress]: [ 151 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (expm1 (log1p (/ 1 (/ 1 (sin ky)))))))>
15.686 * * * * [progress]: [ 152 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (pow (/ 1 (sin ky)) -1)))>
15.686 * * * * [progress]: [ 153 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (pow (sin ky) (- -1))))>
15.686 * * * * [progress]: [ 154 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (pow (sin ky) (- (- 1)))))>
15.687 * * * * [progress]: [ 155 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (pow (/ 1 (sin ky)) (- 1))))>
15.687 * * * * [progress]: [ 156 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (pow (/ 1 (/ 1 (sin ky))) 1)))>
15.687 * * * * [progress]: [ 157 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (exp (- (- (log (sin ky)))))))>
15.687 * * * * [progress]: [ 158 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (exp (- (- 0 (log (sin ky)))))))>
15.687 * * * * [progress]: [ 159 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (exp (- (- (log 1) (log (sin ky)))))))>
15.687 * * * * [progress]: [ 160 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (exp (- (log (/ 1 (sin ky)))))))>
15.687 * * * * [progress]: [ 161 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (exp (- 0 (- (log (sin ky)))))))>
15.687 * * * * [progress]: [ 162 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (exp (- 0 (- 0 (log (sin ky)))))))>
15.687 * * * * [progress]: [ 163 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (exp (- 0 (- (log 1) (log (sin ky)))))))>
15.687 * * * * [progress]: [ 164 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (exp (- 0 (log (/ 1 (sin ky)))))))>
15.687 * * * * [progress]: [ 165 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (exp (- (log 1) (- (log (sin ky)))))))>
15.687 * * * * [progress]: [ 166 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (exp (- (log 1) (- 0 (log (sin ky)))))))>
15.687 * * * * [progress]: [ 167 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (exp (- (log 1) (- (log 1) (log (sin ky)))))))>
15.687 * * * * [progress]: [ 168 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (exp (- (log 1) (log (/ 1 (sin ky)))))))>
15.687 * * * * [progress]: [ 169 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (exp (log (/ 1 (/ 1 (sin ky)))))))>
15.687 * * * * [progress]: [ 170 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (log (exp (/ 1 (/ 1 (sin ky)))))))>
15.687 * * * * [progress]: [ 171 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (cbrt (/ (* (* 1 1) 1) (/ (* (* 1 1) 1) (* (* (sin ky) (sin ky)) (sin ky)))))))>
15.687 * * * * [progress]: [ 172 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (cbrt (/ (* (* 1 1) 1) (* (* (/ 1 (sin ky)) (/ 1 (sin ky))) (/ 1 (sin ky)))))))>
15.687 * * * * [progress]: [ 173 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (* (* (cbrt (/ 1 (/ 1 (sin ky)))) (cbrt (/ 1 (/ 1 (sin ky))))) (cbrt (/ 1 (/ 1 (sin ky)))))))>
15.687 * * * * [progress]: [ 174 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (cbrt (* (* (/ 1 (/ 1 (sin ky))) (/ 1 (/ 1 (sin ky)))) (/ 1 (/ 1 (sin ky)))))))>
15.687 * * * * [progress]: [ 175 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (* (sqrt (/ 1 (/ 1 (sin ky)))) (sqrt (/ 1 (/ 1 (sin ky)))))))>
15.687 * * * * [progress]: [ 176 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ (- 1) (- (/ 1 (sin ky))))))>
15.687 * * * * [progress]: [ 177 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (* (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ 1 (sin ky))) (cbrt (/ 1 (sin ky))))) (/ (cbrt 1) (cbrt (/ 1 (sin ky)))))))>
15.687 * * * * [progress]: [ 178 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ 1 (sin ky)))) (/ (cbrt 1) (sqrt (/ 1 (sin ky)))))))>
15.687 * * * * [progress]: [ 179 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (* (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (cbrt 1) (/ (cbrt 1) (cbrt (sin ky)))))))>
15.687 * * * * [progress]: [ 180 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (* (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sin ky)))) (/ (cbrt 1) (/ (cbrt 1) (sqrt (sin ky)))))))>
15.687 * * * * [progress]: [ 181 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (* (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt 1) (cbrt 1)) 1)) (/ (cbrt 1) (/ (cbrt 1) (sin ky))))))>
15.688 * * * * [progress]: [ 182 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (cbrt 1) (/ (sqrt 1) (cbrt (sin ky)))))))>
15.688 * * * * [progress]: [ 183 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (sqrt (sin ky)))) (/ (cbrt 1) (/ (sqrt 1) (sqrt (sin ky)))))))>
15.688 * * * * [progress]: [ 184 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) 1)) (/ (cbrt 1) (/ (sqrt 1) (sin ky))))))>
15.688 * * * * [progress]: [ 185 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (* (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (cbrt 1) (/ 1 (cbrt (sin ky)))))))>
15.688 * * * * [progress]: [ 186 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (* (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt (sin ky)))) (/ (cbrt 1) (/ 1 (sqrt (sin ky)))))))>
15.688 * * * * [progress]: [ 187 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (* (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ 1 (sin ky))))))>
15.688 * * * * [progress]: [ 188 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (* (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ 1 (sin ky))))))>
15.688 * * * * [progress]: [ 189 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (* (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ 1 (sin ky))))))>
15.688 * * * * [progress]: [ 190 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (* (/ (sqrt 1) (* (cbrt (/ 1 (sin ky))) (cbrt (/ 1 (sin ky))))) (/ (sqrt 1) (cbrt (/ 1 (sin ky)))))))>
15.688 * * * * [progress]: [ 191 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (* (/ (sqrt 1) (sqrt (/ 1 (sin ky)))) (/ (sqrt 1) (sqrt (/ 1 (sin ky)))))))>
15.688 * * * * [progress]: [ 192 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (* (/ (sqrt 1) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (sqrt 1) (/ (cbrt 1) (cbrt (sin ky)))))))>
15.688 * * * * [progress]: [ 193 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (* (/ (sqrt 1) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sin ky)))) (/ (sqrt 1) (/ (cbrt 1) (sqrt (sin ky)))))))>
15.688 * * * * [progress]: [ 194 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (* (/ (sqrt 1) (/ (* (cbrt 1) (cbrt 1)) 1)) (/ (sqrt 1) (/ (cbrt 1) (sin ky))))))>
15.688 * * * * [progress]: [ 195 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (* (/ (sqrt 1) (/ (sqrt 1) (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (sqrt 1) (/ (sqrt 1) (cbrt (sin ky)))))))>
15.688 * * * * [progress]: [ 196 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (* (/ (sqrt 1) (/ (sqrt 1) (sqrt (sin ky)))) (/ (sqrt 1) (/ (sqrt 1) (sqrt (sin ky)))))))>
15.688 * * * * [progress]: [ 197 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (* (/ (sqrt 1) (/ (sqrt 1) 1)) (/ (sqrt 1) (/ (sqrt 1) (sin ky))))))>
15.688 * * * * [progress]: [ 198 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (* (/ (sqrt 1) (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (sqrt 1) (/ 1 (cbrt (sin ky)))))))>
15.688 * * * * [progress]: [ 199 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (* (/ (sqrt 1) (/ 1 (sqrt (sin ky)))) (/ (sqrt 1) (/ 1 (sqrt (sin ky)))))))>
15.688 * * * * [progress]: [ 200 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (* (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ 1 (sin ky))))))>
15.688 * * * * [progress]: [ 201 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (* (/ (sqrt 1) 1) (/ (sqrt 1) (/ 1 (sin ky))))))>
15.688 * * * * [progress]: [ 202 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (* (/ (sqrt 1) 1) (/ (sqrt 1) (/ 1 (sin ky))))))>
15.688 * * * * [progress]: [ 203 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (* (/ 1 (* (cbrt (/ 1 (sin ky))) (cbrt (/ 1 (sin ky))))) (/ 1 (cbrt (/ 1 (sin ky)))))))>
15.688 * * * * [progress]: [ 204 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (* (/ 1 (sqrt (/ 1 (sin ky)))) (/ 1 (sqrt (/ 1 (sin ky)))))))>
15.689 * * * * [progress]: [ 205 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (* (/ 1 (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ 1 (/ (cbrt 1) (cbrt (sin ky)))))))>
15.689 * * * * [progress]: [ 206 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (* (/ 1 (/ (* (cbrt 1) (cbrt 1)) (sqrt (sin ky)))) (/ 1 (/ (cbrt 1) (sqrt (sin ky)))))))>
15.689 * * * * [progress]: [ 207 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (* (/ 1 (/ (* (cbrt 1) (cbrt 1)) 1)) (/ 1 (/ (cbrt 1) (sin ky))))))>
15.689 * * * * [progress]: [ 208 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (* (/ 1 (/ (sqrt 1) (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ 1 (/ (sqrt 1) (cbrt (sin ky)))))))>
15.689 * * * * [progress]: [ 209 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (* (/ 1 (/ (sqrt 1) (sqrt (sin ky)))) (/ 1 (/ (sqrt 1) (sqrt (sin ky)))))))>
15.689 * * * * [progress]: [ 210 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (* (/ 1 (/ (sqrt 1) 1)) (/ 1 (/ (sqrt 1) (sin ky))))))>
15.689 * * * * [progress]: [ 211 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (* (/ 1 (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ 1 (/ 1 (cbrt (sin ky)))))))>
15.689 * * * * [progress]: [ 212 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (* (/ 1 (/ 1 (sqrt (sin ky)))) (/ 1 (/ 1 (sqrt (sin ky)))))))>
15.689 * * * * [progress]: [ 213 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (* (/ 1 (/ 1 1)) (/ 1 (/ 1 (sin ky))))))>
15.689 * * * * [progress]: [ 214 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (* (/ 1 1) (/ 1 (/ 1 (sin ky))))))>
15.689 * * * * [progress]: [ 215 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (* (/ 1 1) (/ 1 (/ 1 (sin ky))))))>
15.689 * * * * [progress]: [ 216 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (* 1 (/ 1 (/ 1 (sin ky))))))>
15.689 * * * * [progress]: [ 217 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (* 1 (/ 1 (/ 1 (sin ky))))))>
15.689 * * * * [progress]: [ 218 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (/ (/ 1 (sin ky)) 1))))>
15.689 * * * * [progress]: [ 219 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (sin ky)))>
15.689 * * * * [progress]: [ 220 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ (/ 1 (* (cbrt (/ 1 (sin ky))) (cbrt (/ 1 (sin ky))))) (cbrt (/ 1 (sin ky))))))>
15.689 * * * * [progress]: [ 221 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ (/ 1 (sqrt (/ 1 (sin ky)))) (sqrt (/ 1 (sin ky))))))>
15.689 * * * * [progress]: [ 222 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ (/ 1 (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (cbrt 1) (cbrt (sin ky))))))>
15.689 * * * * [progress]: [ 223 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ (/ 1 (/ (* (cbrt 1) (cbrt 1)) (sqrt (sin ky)))) (/ (cbrt 1) (sqrt (sin ky))))))>
15.689 * * * * [progress]: [ 224 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ (/ 1 (/ (* (cbrt 1) (cbrt 1)) 1)) (/ (cbrt 1) (sin ky)))))>
15.689 * * * * [progress]: [ 225 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ (/ 1 (/ (sqrt 1) (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (sqrt 1) (cbrt (sin ky))))))>
15.689 * * * * [progress]: [ 226 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ (/ 1 (/ (sqrt 1) (sqrt (sin ky)))) (/ (sqrt 1) (sqrt (sin ky))))))>
15.689 * * * * [progress]: [ 227 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ (/ 1 (/ (sqrt 1) 1)) (/ (sqrt 1) (sin ky)))))>
15.689 * * * * [progress]: [ 228 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ (/ 1 (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ 1 (cbrt (sin ky))))))>
15.689 * * * * [progress]: [ 229 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ (/ 1 (/ 1 (sqrt (sin ky)))) (/ 1 (sqrt (sin ky))))))>
15.690 * * * * [progress]: [ 230 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ (/ 1 (/ 1 1)) (/ 1 (sin ky)))))>
15.690 * * * * [progress]: [ 231 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ (/ 1 1) (/ 1 (sin ky)))))>
15.690 * * * * [progress]: [ 232 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ (/ 1 1) (/ 1 (sin ky)))))>
15.690 * * * * [progress]: [ 233 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ (* (cbrt 1) (cbrt 1)) (/ (/ 1 (sin ky)) (cbrt 1)))))>
15.690 * * * * [progress]: [ 234 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ (sqrt 1) (/ (/ 1 (sin ky)) (sqrt 1)))))>
15.690 * * * * [progress]: [ 235 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (/ (/ 1 (sin ky)) 1))))>
15.690 * * * * [progress]: [ 236 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (* (/ 1 1) (sin ky))))>
15.690 * * * * [progress]: [ 237 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (posit16->real (real->posit16 (/ 1 (/ 1 (sin ky)))))))>
15.690 * * * * [progress]: [ 238 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (log1p (expm1 (/ 1 (sin ky)))))))>
15.690 * * * * [progress]: [ 239 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (expm1 (log1p (/ 1 (sin ky)))))))>
15.690 * * * * [progress]: [ 240 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (pow (sin ky) -1))))>
15.690 * * * * [progress]: [ 241 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (pow (sin ky) (- 1)))))>
15.690 * * * * [progress]: [ 242 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (pow (/ 1 (sin ky)) 1))))>
15.690 * * * * [progress]: [ 243 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (exp (- (log (sin ky)))))))>
15.690 * * * * [progress]: [ 244 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (exp (- 0 (log (sin ky)))))))>
15.690 * * * * [progress]: [ 245 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (exp (- (log 1) (log (sin ky)))))))>
15.690 * * * * [progress]: [ 246 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (exp (log (/ 1 (sin ky)))))))>
15.690 * * * * [progress]: [ 247 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (log (exp (/ 1 (sin ky)))))))>
15.690 * * * * [progress]: [ 248 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (cbrt (/ (* (* 1 1) 1) (* (* (sin ky) (sin ky)) (sin ky)))))))>
15.690 * * * * [progress]: [ 249 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (* (* (cbrt (/ 1 (sin ky))) (cbrt (/ 1 (sin ky)))) (cbrt (/ 1 (sin ky)))))))>
15.690 * * * * [progress]: [ 250 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (cbrt (* (* (/ 1 (sin ky)) (/ 1 (sin ky))) (/ 1 (sin ky)))))))>
15.690 * * * * [progress]: [ 251 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (* (sqrt (/ 1 (sin ky))) (sqrt (/ 1 (sin ky)))))))>
15.690 * * * * [progress]: [ 252 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (/ (- 1) (- (sin ky))))))>
15.690 * * * * [progress]: [ 253 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (* (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sin ky)) (cbrt (sin ky)))) (/ (cbrt 1) (cbrt (sin ky)))))))>
15.690 * * * * [progress]: [ 254 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (sin ky))) (/ (cbrt 1) (sqrt (sin ky)))))))>
15.690 * * * * [progress]: [ 255 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (* (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (sin ky))))))>
15.691 * * * * [progress]: [ 256 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (* (/ (sqrt 1) (* (cbrt (sin ky)) (cbrt (sin ky)))) (/ (sqrt 1) (cbrt (sin ky)))))))>
15.691 * * * * [progress]: [ 257 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (* (/ (sqrt 1) (sqrt (sin ky))) (/ (sqrt 1) (sqrt (sin ky)))))))>
15.691 * * * * [progress]: [ 258 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (* (/ (sqrt 1) 1) (/ (sqrt 1) (sin ky))))))>
15.691 * * * * [progress]: [ 259 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (* (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky)))) (/ 1 (cbrt (sin ky)))))))>
15.691 * * * * [progress]: [ 260 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (* (/ 1 (sqrt (sin ky))) (/ 1 (sqrt (sin ky)))))))>
15.691 * * * * [progress]: [ 261 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (* (/ 1 1) (/ 1 (sin ky))))))>
15.691 * * * * [progress]: [ 262 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (* 1 (/ 1 (sin ky))))))>
15.691 * * * * [progress]: [ 263 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (* 1 (/ 1 (sin ky))))))>
15.691 * * * * [progress]: [ 264 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (/ 1 (/ (sin ky) 1)))))>
15.691 * * * * [progress]: [ 265 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (/ (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky)))) (cbrt (sin ky))))))>
15.691 * * * * [progress]: [ 266 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (/ (/ 1 (sqrt (sin ky))) (sqrt (sin ky))))))>
15.691 * * * * [progress]: [ 267 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (/ (/ 1 1) (sin ky)))))>
15.691 * * * * [progress]: [ 268 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (/ (* (cbrt 1) (cbrt 1)) (/ (sin ky) (cbrt 1))))))>
15.691 * * * * [progress]: [ 269 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (/ (sqrt 1) (/ (sin ky) (sqrt 1))))))>
15.691 * * * * [progress]: [ 270 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (/ 1 (/ (sin ky) 1)))))>
15.691 * * * * [progress]: [ 271 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (posit16->real (real->posit16 (/ 1 (sin ky)))))))>
15.691 * * * * [progress]: [ 272 / 283 ] simplifiying candidate #<alt (λ (kx ky th) 0)>
15.691 * * * * [progress]: [ 273 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky))))>
15.691 * * * * [progress]: [ 274 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky))))>
15.691 * * * * [progress]: [ 275 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (* 1/6 (* ky th)) (/ 1 (/ 1 (sin ky)))))>
15.691 * * * * [progress]: [ 276 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin th)) (/ 1 (/ 1 (sin ky)))))>
15.691 * * * * [progress]: [ 277 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin th)) (/ 1 (/ 1 (sin ky)))))>
15.691 * * * * [progress]: [ 278 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (- (+ (* 1/120 (pow ky 5)) ky) (* 1/6 (pow ky 3)))))>
15.691 * * * * [progress]: [ 279 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (sin ky)))>
15.691 * * * * [progress]: [ 280 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (sin ky)))>
15.691 * * * * [progress]: [ 281 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (+ (* 7/360 (pow ky 3)) (+ (/ 1 ky) (* 1/6 ky))))))>
15.691 * * * * [progress]: [ 282 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (/ 1 (sin ky)))))>
15.691 * * * * [progress]: [ 283 / 283 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (/ 1 (sin ky)))))>
15.694 * [simplify]: Simplifying:
  (expm1 (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (/ 1 (sin ky)))))
  (log1p (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (/ 1 (sin ky)))))
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  (/ 1 (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky)))))
  (/ 1 (/ 1 (cbrt (sin ky))))
  (/ 1 (/ 1 (sqrt (sin ky))))
  (/ 1 (/ 1 (sqrt (sin ky))))
  (/ 1 (/ 1 1))
  (/ 1 (/ 1 (sin ky)))
  (/ 1 1)
  (/ 1 (/ 1 (sin ky)))
  (/ 1 1)
  (/ 1 (/ 1 (sin ky)))
  (/ 1 (/ 1 (sin ky)))
  (/ (/ 1 (sin ky)) 1)
  (/ 1 (* (cbrt (/ 1 (sin ky))) (cbrt (/ 1 (sin ky)))))
  (/ 1 (sqrt (/ 1 (sin ky))))
  (/ 1 (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sin ky)) (cbrt (sin ky)))))
  (/ 1 (/ (* (cbrt 1) (cbrt 1)) (sqrt (sin ky))))
  (/ 1 (/ (* (cbrt 1) (cbrt 1)) 1))
  (/ 1 (/ (sqrt 1) (* (cbrt (sin ky)) (cbrt (sin ky)))))
  (/ 1 (/ (sqrt 1) (sqrt (sin ky))))
  (/ 1 (/ (sqrt 1) 1))
  (/ 1 (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky)))))
  (/ 1 (/ 1 (sqrt (sin ky))))
  (/ 1 (/ 1 1))
  (/ 1 1)
  (/ 1 1)
  (/ (/ 1 (sin ky)) (cbrt 1))
  (/ (/ 1 (sin ky)) (sqrt 1))
  (/ (/ 1 (sin ky)) 1)
  (/ 1 1)
  (real->posit16 (/ 1 (/ 1 (sin ky))))
  (expm1 (/ 1 (sin ky)))
  (log1p (/ 1 (sin ky)))
  (- 1)
  (- (log (sin ky)))
  (- 0 (log (sin ky)))
  (- (log 1) (log (sin ky)))
  (log (/ 1 (sin ky)))
  (exp (/ 1 (sin ky)))
  (/ (* (* 1 1) 1) (* (* (sin ky) (sin ky)) (sin ky)))
  (* (cbrt (/ 1 (sin ky))) (cbrt (/ 1 (sin ky))))
  (cbrt (/ 1 (sin ky)))
  (* (* (/ 1 (sin ky)) (/ 1 (sin ky))) (/ 1 (sin ky)))
  (sqrt (/ 1 (sin ky)))
  (sqrt (/ 1 (sin ky)))
  (- 1)
  (- (sin ky))
  (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sin ky)) (cbrt (sin ky))))
  (/ (cbrt 1) (cbrt (sin ky)))
  (/ (* (cbrt 1) (cbrt 1)) (sqrt (sin ky)))
  (/ (cbrt 1) (sqrt (sin ky)))
  (/ (* (cbrt 1) (cbrt 1)) 1)
  (/ (cbrt 1) (sin ky))
  (/ (sqrt 1) (* (cbrt (sin ky)) (cbrt (sin ky))))
  (/ (sqrt 1) (cbrt (sin ky)))
  (/ (sqrt 1) (sqrt (sin ky)))
  (/ (sqrt 1) (sqrt (sin ky)))
  (/ (sqrt 1) 1)
  (/ (sqrt 1) (sin ky))
  (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky))))
  (/ 1 (cbrt (sin ky)))
  (/ 1 (sqrt (sin ky)))
  (/ 1 (sqrt (sin ky)))
  (/ 1 1)
  (/ 1 (sin ky))
  (/ 1 (sin ky))
  (/ (sin ky) 1)
  (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky))))
  (/ 1 (sqrt (sin ky)))
  (/ 1 1)
  (/ (sin ky) (cbrt 1))
  (/ (sin ky) (sqrt 1))
  (/ (sin ky) 1)
  (real->posit16 (/ 1 (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 (* ky th))
  (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin th))
  (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin th))
  (- (+ (* 1/120 (pow ky 5)) ky) (* 1/6 (pow ky 3)))
  (sin ky)
  (sin ky)
  (+ (* 7/360 (pow ky 3)) (+ (/ 1 ky) (* 1/6 ky)))
  (/ 1 (sin ky))
  (/ 1 (sin ky))
15.698 * * [simplify]: iteration 0: 332 enodes
15.890 * * [simplify]: iteration 1: 957 enodes
16.348 * * [simplify]: iteration 2: 2067 enodes
16.879 * * [simplify]: iteration complete: 5061 enodes
16.880 * * [simplify]: Extracting #0: cost 101 inf + 0
16.882 * * [simplify]: Extracting #1: cost 1021 inf + 3
16.888 * * [simplify]: Extracting #2: cost 1615 inf + 10569
16.900 * * [simplify]: Extracting #3: cost 1549 inf + 72780
16.924 * * [simplify]: Extracting #4: cost 1373 inf + 103523
16.979 * * [simplify]: Extracting #5: cost 713 inf + 287179
17.073 * * [simplify]: Extracting #6: cost 78 inf + 493323
17.209 * * [simplify]: Extracting #7: cost 0 inf + 522788
17.298 * * [simplify]: Extracting #8: cost 0 inf + 522428
17.388 * [simplify]: Simplified to:
  (expm1 (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky))))
  (log1p (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky))))
  (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky)))
  (log (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky))))
  (log (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky))))
  (log (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky))))
  (log (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky))))
  (log (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky))))
  (log (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky))))
  (log (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky))))
  (log (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky))))
  (log (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky))))
  (log (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky))))
  (log (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky))))
  (log (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky))))
  (log (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky))))
  (log (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky))))
  (log (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky))))
  (log (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky))))
  (log (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky))))
  (log (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky))))
  (log (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky))))
  (log (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky))))
  (log (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky))))
  (log (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky))))
  (log (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky))))
  (log (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky))))
  (log (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky))))
  (log (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky))))
  (log (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky))))
  (exp (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky))))
  (* (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky))) (* (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky))) (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky)))))
  (* (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky))) (* (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky))) (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky)))))
  (* (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky))) (* (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky))) (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky)))))
  (* (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky))) (* (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky))) (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky)))))
  (* (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky))) (* (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky))) (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky)))))
  (* (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky))) (* (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky))) (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky)))))
  (* (cbrt (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky)))) (cbrt (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky)))))
  (cbrt (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky))))
  (* (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky))) (* (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky))) (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky)))))
  (sqrt (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky))))
  (sqrt (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky))))
  (sin th)
  (/ (hypot (sin kx) (sin ky)) (sin ky))
  (* (sqrt (/ (sin th) (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))
  (* (sqrt (/ (sin th) (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))
  (/ (sqrt (/ (sin th) (hypot (sin kx) (sin ky)))) (sqrt (/ 1 (sin ky))))
  (/ (sqrt (/ (sin th) (hypot (sin kx) (sin ky)))) (sqrt (/ 1 (sin ky))))
  (* (sqrt (/ (sin th) (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))
  (* (sqrt (/ (sin th) (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))
  (* (sqrt (/ (sin th) (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))
  (* (sqrt (/ (sin th) (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))
  (/ (sqrt (/ (sin th) (hypot (sin kx) (sin ky)))) (sqrt (/ 1 (sin ky))))
  (/ (sqrt (/ (sin th) (hypot (sin kx) (sin ky)))) (sqrt (/ 1 (sin ky))))
  (* (sqrt (/ (sin th) (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))
  (* (sqrt (/ (sin th) (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))
  (* (sqrt (/ (sin th) (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))
  (* (sqrt (/ (sin th) (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))
  (/ (* (sqrt (sin ky)) (sqrt (sin th))) (sqrt (hypot (sin kx) (sin ky))))
  (/ (* (sqrt (sin ky)) (sqrt (sin th))) (sqrt (hypot (sin kx) (sin ky))))
  (/ (/ (sqrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (/ 1 (sin ky))))
  (/ (/ (sqrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (/ 1 (sin ky))))
  (/ (* (sqrt (sin ky)) (sqrt (sin th))) (sqrt (hypot (sin kx) (sin ky))))
  (/ (* (sqrt (sin ky)) (sqrt (sin th))) (sqrt (hypot (sin kx) (sin ky))))
  (/ (* (sqrt (sin ky)) (sqrt (sin th))) (sqrt (hypot (sin kx) (sin ky))))
  (/ (* (sqrt (sin ky)) (sqrt (sin th))) (sqrt (hypot (sin kx) (sin ky))))
  (/ (/ (sqrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (/ 1 (sin ky))))
  (/ (/ (sqrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (/ 1 (sin ky))))
  (/ (* (sqrt (sin ky)) (sqrt (sin th))) (sqrt (hypot (sin kx) (sin ky))))
  (/ (* (sqrt (sin ky)) (sqrt (sin th))) (sqrt (hypot (sin kx) (sin ky))))
  (/ (* (sqrt (sin ky)) (sqrt (sin th))) (sqrt (hypot (sin kx) (sin ky))))
  (/ (* (sqrt (sin ky)) (sqrt (sin th))) (sqrt (hypot (sin kx) (sin ky))))
  (* (/ (sin th) (hypot (sin kx) (sin ky))) (* (cbrt (sin ky)) (cbrt (sin ky))))
  (* (/ (sin th) (hypot (sin kx) (sin ky))) (sqrt (sin ky)))
  (/ (/ (sin th) (hypot (sin kx) (sin ky))) (* (cbrt (/ 1 (sin ky))) (cbrt (/ 1 (sin ky)))))
  (/ (/ (sin th) (hypot (sin kx) (sin ky))) (sqrt (/ 1 (sin ky))))
  (* (/ (sin th) (hypot (sin kx) (sin ky))) (* (cbrt (sin ky)) (cbrt (sin ky))))
  (* (/ (sin th) (hypot (sin kx) (sin ky))) (sqrt (sin ky)))
  (/ (sin th) (hypot (sin kx) (sin ky)))
  (* (/ (sin th) (hypot (sin kx) (sin ky))) (* (cbrt (sin ky)) (cbrt (sin ky))))
  (* (/ (sin th) (hypot (sin kx) (sin ky))) (sqrt (sin ky)))
  (/ (sin th) (hypot (sin kx) (sin ky)))
  (* (/ (sin th) (hypot (sin kx) (sin ky))) (* (cbrt (sin ky)) (cbrt (sin ky))))
  (* (/ (sin th) (hypot (sin kx) (sin ky))) (sqrt (sin ky)))
  (/ (sin th) (hypot (sin kx) (sin ky)))
  (/ (sin th) (hypot (sin kx) (sin ky)))
  (/ (sin th) (hypot (sin kx) (sin ky)))
  (/ (/ (sin th) (hypot (sin kx) (sin ky))) (* (cbrt (/ 1 (sin ky))) (cbrt (/ 1 (sin ky)))))
  (/ (/ (sin th) (hypot (sin kx) (sin ky))) (sqrt (/ 1 (sin ky))))
  (* (/ (sin th) (hypot (sin kx) (sin ky))) (* (cbrt (sin ky)) (cbrt (sin ky))))
  (* (/ (sin th) (hypot (sin kx) (sin ky))) (sqrt (sin ky)))
  (/ (sin th) (hypot (sin kx) (sin ky)))
  (* (/ (sin th) (hypot (sin kx) (sin ky))) (* (cbrt (sin ky)) (cbrt (sin ky))))
  (* (/ (sin th) (hypot (sin kx) (sin ky))) (sqrt (sin ky)))
  (/ (sin th) (hypot (sin kx) (sin ky)))
  (* (/ (sin th) (hypot (sin kx) (sin ky))) (* (cbrt (sin ky)) (cbrt (sin ky))))
  (* (/ (sin th) (hypot (sin kx) (sin ky))) (sqrt (sin ky)))
  (/ (sin th) (hypot (sin kx) (sin ky)))
  (/ (sin th) (hypot (sin kx) (sin ky)))
  (/ (sin th) (hypot (sin kx) (sin ky)))
  (/ (/ (sin th) (hypot (sin kx) (sin ky))) (* (cbrt (/ 1 (sin ky))) (cbrt (/ 1 (sin ky)))))
  (/ (/ (sin th) (hypot (sin kx) (sin ky))) (sqrt (/ 1 (sin ky))))
  (* (/ (sin th) (hypot (sin kx) (sin ky))) (* (cbrt (sin ky)) (cbrt (sin ky))))
  (* (/ (sin th) (hypot (sin kx) (sin ky))) (sqrt (sin ky)))
  (/ (sin th) (hypot (sin kx) (sin ky)))
  (* (/ (sin th) (hypot (sin kx) (sin ky))) (* (cbrt (sin ky)) (cbrt (sin ky))))
  (* (/ (sin th) (hypot (sin kx) (sin ky))) (sqrt (sin ky)))
  (/ (sin th) (hypot (sin kx) (sin ky)))
  (* (/ (sin th) (hypot (sin kx) (sin ky))) (* (cbrt (sin ky)) (cbrt (sin ky))))
  (* (/ (sin th) (hypot (sin kx) (sin ky))) (sqrt (sin ky)))
  (/ (sin th) (hypot (sin kx) (sin ky)))
  (/ (sin th) (hypot (sin kx) (sin ky)))
  (/ (sin th) (hypot (sin kx) (sin ky)))
  (/ (sin th) (hypot (sin kx) (sin ky)))
  (/ (sin th) (hypot (sin kx) (sin ky)))
  (/ (sin th) (hypot (sin kx) (sin ky)))
  (* (cbrt (/ (sin th) (hypot (sin kx) (sin ky)))) (sin ky))
  (* (sin ky) (sqrt (/ (sin th) (hypot (sin kx) (sin ky)))))
  (/ (* (cbrt (sin th)) (sin ky)) (cbrt (hypot (sin kx) (sin ky))))
  (* (/ (cbrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (sin ky))
  (/ (* (cbrt (sin th)) (sin ky)) (hypot (sin kx) (sin ky)))
  (* (sin ky) (/ (sqrt (sin th)) (cbrt (hypot (sin kx) (sin ky)))))
  (/ (sqrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))
  (* (/ (sqrt (sin th)) (hypot (sin kx) (sin ky))) (sin ky))
  (* (/ (sin th) (cbrt (hypot (sin kx) (sin ky)))) (sin ky))
  (/ (* (sin ky) (sin th)) (sqrt (hypot (sin kx) (sin ky))))
  (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky)))
  (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky)))
  (/ (sin ky) (hypot (sin kx) (sin ky)))
  (/ (sin th) (hypot (sin kx) (sin ky)))
  (* (sin th) (sin ky))
  (real->posit16 (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky))))
  (expm1 (/ (sin th) (hypot (sin kx) (sin ky))))
  (log1p (/ (sin th) (hypot (sin kx) (sin ky))))
  (log (/ (sin th) (hypot (sin kx) (sin ky))))
  (log (/ (sin th) (hypot (sin kx) (sin ky))))
  (exp (/ (sin th) (hypot (sin kx) (sin ky))))
  (* (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ (sin th) (hypot (sin kx) (sin ky)))) (/ (sin th) (hypot (sin kx) (sin ky))))
  (* (cbrt (/ (sin th) (hypot (sin kx) (sin ky)))) (cbrt (/ (sin th) (hypot (sin kx) (sin ky)))))
  (cbrt (/ (sin th) (hypot (sin kx) (sin ky))))
  (* (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ (sin th) (hypot (sin kx) (sin ky)))) (/ (sin th) (hypot (sin kx) (sin ky))))
  (sqrt (/ (sin th) (hypot (sin kx) (sin ky))))
  (sqrt (/ (sin th) (hypot (sin kx) (sin ky))))
  (- (sin th))
  (- (hypot (sin kx) (sin ky)))
  (* (/ (cbrt (sin th)) (cbrt (hypot (sin kx) (sin ky)))) (/ (cbrt (sin th)) (cbrt (hypot (sin kx) (sin ky)))))
  (/ (cbrt (sin th)) (cbrt (hypot (sin kx) (sin ky))))
  (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (hypot (sin kx) (sin ky))))
  (/ (cbrt (sin th)) (sqrt (hypot (sin kx) (sin ky))))
  (* (cbrt (sin th)) (cbrt (sin th)))
  (/ (cbrt (sin th)) (hypot (sin kx) (sin ky)))
  (/ (/ (sqrt (sin th)) (cbrt (hypot (sin kx) (sin ky)))) (cbrt (hypot (sin kx) (sin ky))))
  (/ (sqrt (sin th)) (cbrt (hypot (sin kx) (sin ky))))
  (/ (sqrt (sin th)) (sqrt (hypot (sin kx) (sin ky))))
  (/ (sqrt (sin th)) (sqrt (hypot (sin kx) (sin ky))))
  (sqrt (sin th))
  (/ (sqrt (sin th)) (hypot (sin kx) (sin ky)))
  (/ (/ 1 (cbrt (hypot (sin kx) (sin ky)))) (cbrt (hypot (sin kx) (sin ky))))
  (/ (sin th) (cbrt (hypot (sin kx) (sin ky))))
  (/ 1 (sqrt (hypot (sin kx) (sin ky))))
  (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))
  1
  (/ (sin th) (hypot (sin kx) (sin ky)))
  (/ 1 (hypot (sin kx) (sin ky)))
  (/ (hypot (sin kx) (sin ky)) (sin th))
  (/ (/ (sin th) (cbrt (hypot (sin kx) (sin ky)))) (cbrt (hypot (sin kx) (sin ky))))
  (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))
  (sin th)
  (/ (hypot (sin kx) (sin ky)) (cbrt (sin th)))
  (/ (hypot (sin kx) (sin ky)) (sqrt (sin th)))
  (/ (hypot (sin kx) (sin ky)) (sin th))
  (real->posit16 (/ (sin th) (hypot (sin kx) (sin ky))))
  (expm1 (sin ky))
  (log1p (sin ky))
  1
  1
  -1
  (log (sin ky))
  (log (sin ky))
  (log (sin ky))
  (log (sin ky))
  (log (sin ky))
  (log (sin ky))
  (log (sin ky))
  (log (sin ky))
  (log (sin ky))
  (log (sin ky))
  (log (sin ky))
  (log (sin ky))
  (log (sin ky))
  (exp (sin ky))
  (* (* (sin ky) (sin ky)) (sin ky))
  (* (* (sin ky) (sin ky)) (sin ky))
  (* (cbrt (sin ky)) (cbrt (sin ky)))
  (cbrt (sin ky))
  (* (* (sin ky) (sin ky)) (sin ky))
  (sqrt (sin ky))
  (sqrt (sin ky))
  -1
  (/ -1 (sin ky))
  (/ 1 (* (cbrt (/ 1 (sin ky))) (cbrt (/ 1 (sin ky)))))
  (/ 1 (cbrt (/ 1 (sin ky))))
  (/ 1 (sqrt (/ 1 (sin ky))))
  (/ 1 (sqrt (/ 1 (sin ky))))
  (* (cbrt (sin ky)) (cbrt (sin ky)))
  (cbrt (sin ky))
  (sqrt (sin ky))
  (sqrt (sin ky))
  1
  (sin ky)
  (* (cbrt (sin ky)) (cbrt (sin ky)))
  (cbrt (sin ky))
  (sqrt (sin ky))
  (sqrt (sin ky))
  1
  (sin ky)
  (* (cbrt (sin ky)) (cbrt (sin ky)))
  (cbrt (sin ky))
  (sqrt (sin ky))
  (sqrt (sin ky))
  1
  (sin ky)
  1
  (sin ky)
  1
  (sin ky)
  (/ 1 (* (cbrt (/ 1 (sin ky))) (cbrt (/ 1 (sin ky)))))
  (/ 1 (cbrt (/ 1 (sin ky))))
  (/ 1 (sqrt (/ 1 (sin ky))))
  (/ 1 (sqrt (/ 1 (sin ky))))
  (* (cbrt (sin ky)) (cbrt (sin ky)))
  (cbrt (sin ky))
  (sqrt (sin ky))
  (sqrt (sin ky))
  1
  (sin ky)
  (* (cbrt (sin ky)) (cbrt (sin ky)))
  (cbrt (sin ky))
  (sqrt (sin ky))
  (sqrt (sin ky))
  1
  (sin ky)
  (* (cbrt (sin ky)) (cbrt (sin ky)))
  (cbrt (sin ky))
  (sqrt (sin ky))
  (sqrt (sin ky))
  1
  (sin ky)
  1
  (sin ky)
  1
  (sin ky)
  (/ 1 (* (cbrt (/ 1 (sin ky))) (cbrt (/ 1 (sin ky)))))
  (/ 1 (cbrt (/ 1 (sin ky))))
  (/ 1 (sqrt (/ 1 (sin ky))))
  (/ 1 (sqrt (/ 1 (sin ky))))
  (* (cbrt (sin ky)) (cbrt (sin ky)))
  (cbrt (sin ky))
  (sqrt (sin ky))
  (sqrt (sin ky))
  1
  (sin ky)
  (* (cbrt (sin ky)) (cbrt (sin ky)))
  (cbrt (sin ky))
  (sqrt (sin ky))
  (sqrt (sin ky))
  1
  (sin ky)
  (* (cbrt (sin ky)) (cbrt (sin ky)))
  (cbrt (sin ky))
  (sqrt (sin ky))
  (sqrt (sin ky))
  1
  (sin ky)
  1
  (sin ky)
  1
  (sin ky)
  (sin ky)
  (/ 1 (sin ky))
  (/ 1 (* (cbrt (/ 1 (sin ky))) (cbrt (/ 1 (sin ky)))))
  (/ 1 (sqrt (/ 1 (sin ky))))
  (* (cbrt (sin ky)) (cbrt (sin ky)))
  (sqrt (sin ky))
  1
  (* (cbrt (sin ky)) (cbrt (sin ky)))
  (sqrt (sin ky))
  1
  (* (cbrt (sin ky)) (cbrt (sin ky)))
  (sqrt (sin ky))
  1
  1
  1
  (/ 1 (sin ky))
  (/ 1 (sin ky))
  (/ 1 (sin ky))
  1
  (real->posit16 (sin ky))
  (expm1 (/ 1 (sin ky)))
  (log1p (/ 1 (sin ky)))
  -1
  (- (log (sin ky)))
  (- (log (sin ky)))
  (- (log (sin ky)))
  (- (log (sin ky)))
  (exp (/ 1 (sin ky)))
  (/ 1 (* (* (sin ky) (sin ky)) (sin ky)))
  (* (cbrt (/ 1 (sin ky))) (cbrt (/ 1 (sin ky))))
  (cbrt (/ 1 (sin ky)))
  (/ 1 (* (* (sin ky) (sin ky)) (sin ky)))
  (sqrt (/ 1 (sin ky)))
  (sqrt (/ 1 (sin ky)))
  -1
  (- (sin ky))
  (* (/ 1 (cbrt (sin ky))) (/ 1 (cbrt (sin ky))))
  (/ 1 (cbrt (sin ky)))
  (/ 1 (sqrt (sin ky)))
  (/ 1 (sqrt (sin ky)))
  1
  (/ 1 (sin ky))
  (* (/ 1 (cbrt (sin ky))) (/ 1 (cbrt (sin ky))))
  (/ 1 (cbrt (sin ky)))
  (/ 1 (sqrt (sin ky)))
  (/ 1 (sqrt (sin ky)))
  1
  (/ 1 (sin ky))
  (* (/ 1 (cbrt (sin ky))) (/ 1 (cbrt (sin ky))))
  (/ 1 (cbrt (sin ky)))
  (/ 1 (sqrt (sin ky)))
  (/ 1 (sqrt (sin ky)))
  1
  (/ 1 (sin ky))
  (/ 1 (sin ky))
  (sin ky)
  (* (/ 1 (cbrt (sin ky))) (/ 1 (cbrt (sin ky))))
  (/ 1 (sqrt (sin ky)))
  1
  (sin ky)
  (sin ky)
  (sin ky)
  (real->posit16 (/ 1 (sin ky)))
  0
  (* (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))))) (* (sin th) (sin ky)))
  (* (* ky 1/6) th)
  (* (sqrt (/ 1 (fma (sin kx) (sin kx) (* (sin ky) (sin ky))))) (sin th))
  (* (sqrt (/ 1 (fma (sin kx) (sin kx) (* (sin ky) (sin ky))))) (sin th))
  (fma -1/6 (* ky (* ky ky)) (fma (pow ky 5) 1/120 ky))
  (sin ky)
  (sin ky)
  (fma ky 1/6 (fma 7/360 (* ky (* ky ky)) (/ 1 ky)))
  (/ 1 (sin ky))
  (/ 1 (sin ky))
17.407 * * * [progress]: adding candidates to table
18.491 * [progress]: [Phase 3 of 3] Extracting.
18.491 * * [regime]: Finding splitpoints for: (#<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (posit16->real (real->posit16 (sin ky)))))> #<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) (/ 1 (* (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky)))) (/ (hypot (sin ky) (sin kx)) (cbrt (sin ky)))))))> #<alt (λ (kx ky th) (* (posit16->real (real->posit16 (/ (sin th) (hypot (sin kx) (sin ky))))) (/ 1 (/ 1 (sin ky)))))> #<alt (λ (kx ky th) (* (sin th) (/ (sin ky) (* 1 (hypot (sin ky) (sin kx))))))> #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ (/ 1 (* (cbrt (/ 1 (sin ky))) (cbrt (/ 1 (sin ky))))) (cbrt (/ 1 (sin ky))))))> #<alt (λ (kx ky th) (* (* (sin th) (/ 1 (hypot (sin kx) (sin ky)))) (/ 1 (/ 1 (sin ky)))))> #<alt (λ (kx ky th) (* (* (cbrt (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (/ 1 (sin ky))))) (cbrt (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (/ 1 (sin ky)))))) (cbrt (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (/ 1 (sin ky)))))))> #<alt (λ (kx ky th) (exp (log (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky)))))))> #<alt (λ (kx ky th) (* (sin th) (log (exp (/ (sin ky) (hypot (sin ky) (sin kx)))))))> #<alt (λ (kx ky th) (* (* (cbrt (sin th)) (cbrt (sin th))) (/ (cbrt (sin th)) (/ (hypot (sin kx) (sin ky)) (sin ky)))))> #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (posit16->real (real->posit16 (/ 1 (sin ky)))))))> #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (exp (log (sin ky)))))> #<alt (λ (kx ky th) (cbrt (* (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky))) (* (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky))) (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky)))))))> #<alt (λ (kx ky th) (* (exp (log (/ (sin th) (hypot (sin kx) (sin ky))))) (/ 1 (/ 1 (sin ky)))))> #<alt (λ (kx ky th) (posit16->real (real->posit16 (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))))))> #<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) (* (/ 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)))))))> #<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)))))))> #<alt (λ (kx ky th) (* (sin th) (/ 1 (expm1 (log1p (/ (hypot (sin ky) (sin kx)) (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) (* (log (exp (/ (sin th) (hypot (sin kx) (sin ky))))) (/ 1 (/ 1 (sin ky)))))> #<alt (λ (kx ky th) (* (sin th) (posit16->real (real->posit16 (/ (sin ky) (hypot (sin ky) (sin kx)))))))> #<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))))))>)
18.497 * * * [regime-changes]: Trying 6 branch expressions: ((sin th) (sin kx) (sin ky) th ky kx)
18.497 * * * * [regimes]: Trying to branch on (sin th) from (#<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (posit16->real (real->posit16 (sin ky)))))> #<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) (/ 1 (* (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky)))) (/ (hypot (sin ky) (sin kx)) (cbrt (sin ky)))))))> #<alt (λ (kx ky th) (* (posit16->real (real->posit16 (/ (sin th) (hypot (sin kx) (sin ky))))) (/ 1 (/ 1 (sin ky)))))> #<alt (λ (kx ky th) (* (sin th) (/ (sin ky) (* 1 (hypot (sin ky) (sin kx))))))> #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ (/ 1 (* (cbrt (/ 1 (sin ky))) (cbrt (/ 1 (sin ky))))) (cbrt (/ 1 (sin ky))))))> #<alt (λ (kx ky th) (* (* (sin th) (/ 1 (hypot (sin kx) (sin ky)))) (/ 1 (/ 1 (sin ky)))))> #<alt (λ (kx ky th) (* (* (cbrt (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (/ 1 (sin ky))))) (cbrt (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (/ 1 (sin ky)))))) (cbrt (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (/ 1 (sin ky)))))))> #<alt (λ (kx ky th) (exp (log (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky)))))))> #<alt (λ (kx ky th) (* (sin th) (log (exp (/ (sin ky) (hypot (sin ky) (sin kx)))))))> #<alt (λ (kx ky th) (* (* (cbrt (sin th)) (cbrt (sin th))) (/ (cbrt (sin th)) (/ (hypot (sin kx) (sin ky)) (sin ky)))))> #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (posit16->real (real->posit16 (/ 1 (sin ky)))))))> #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (exp (log (sin ky)))))> #<alt (λ (kx ky th) (cbrt (* (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky))) (* (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky))) (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky)))))))> #<alt (λ (kx ky th) (* (exp (log (/ (sin th) (hypot (sin kx) (sin ky))))) (/ 1 (/ 1 (sin ky)))))> #<alt (λ (kx ky th) (posit16->real (real->posit16 (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))))))> #<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) (* (/ 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)))))))> #<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)))))))> #<alt (λ (kx ky th) (* (sin th) (/ 1 (expm1 (log1p (/ (hypot (sin ky) (sin kx)) (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) (* (log (exp (/ (sin th) (hypot (sin kx) (sin ky))))) (/ 1 (/ 1 (sin ky)))))> #<alt (λ (kx ky th) (* (sin th) (posit16->real (real->posit16 (/ (sin ky) (hypot (sin ky) (sin kx)))))))> #<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))))))>)
19.142 * * * * [regimes]: Trying to branch on (sin kx) from (#<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (posit16->real (real->posit16 (sin ky)))))> #<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) (/ 1 (* (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky)))) (/ (hypot (sin ky) (sin kx)) (cbrt (sin ky)))))))> #<alt (λ (kx ky th) (* (posit16->real (real->posit16 (/ (sin th) (hypot (sin kx) (sin ky))))) (/ 1 (/ 1 (sin ky)))))> #<alt (λ (kx ky th) (* (sin th) (/ (sin ky) (* 1 (hypot (sin ky) (sin kx))))))> #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ (/ 1 (* (cbrt (/ 1 (sin ky))) (cbrt (/ 1 (sin ky))))) (cbrt (/ 1 (sin ky))))))> #<alt (λ (kx ky th) (* (* (sin th) (/ 1 (hypot (sin kx) (sin ky)))) (/ 1 (/ 1 (sin ky)))))> #<alt (λ (kx ky th) (* (* (cbrt (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (/ 1 (sin ky))))) (cbrt (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (/ 1 (sin ky)))))) (cbrt (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (/ 1 (sin ky)))))))> #<alt (λ (kx ky th) (exp (log (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky)))))))> #<alt (λ (kx ky th) (* (sin th) (log (exp (/ (sin ky) (hypot (sin ky) (sin kx)))))))> #<alt (λ (kx ky th) (* (* (cbrt (sin th)) (cbrt (sin th))) (/ (cbrt (sin th)) (/ (hypot (sin kx) (sin ky)) (sin ky)))))> #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (posit16->real (real->posit16 (/ 1 (sin ky)))))))> #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (exp (log (sin ky)))))> #<alt (λ (kx ky th) (cbrt (* (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky))) (* (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky))) (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky)))))))> #<alt (λ (kx ky th) (* (exp (log (/ (sin th) (hypot (sin kx) (sin ky))))) (/ 1 (/ 1 (sin ky)))))> #<alt (λ (kx ky th) (posit16->real (real->posit16 (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))))))> #<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) (* (/ 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)))))))> #<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)))))))> #<alt (λ (kx ky th) (* (sin th) (/ 1 (expm1 (log1p (/ (hypot (sin ky) (sin kx)) (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) (* (log (exp (/ (sin th) (hypot (sin kx) (sin ky))))) (/ 1 (/ 1 (sin ky)))))> #<alt (λ (kx ky th) (* (sin th) (posit16->real (real->posit16 (/ (sin ky) (hypot (sin ky) (sin kx)))))))> #<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))))))>)
19.379 * * * * [regimes]: Trying to branch on (sin ky) from (#<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (posit16->real (real->posit16 (sin ky)))))> #<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) (/ 1 (* (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky)))) (/ (hypot (sin ky) (sin kx)) (cbrt (sin ky)))))))> #<alt (λ (kx ky th) (* (posit16->real (real->posit16 (/ (sin th) (hypot (sin kx) (sin ky))))) (/ 1 (/ 1 (sin ky)))))> #<alt (λ (kx ky th) (* (sin th) (/ (sin ky) (* 1 (hypot (sin ky) (sin kx))))))> #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ (/ 1 (* (cbrt (/ 1 (sin ky))) (cbrt (/ 1 (sin ky))))) (cbrt (/ 1 (sin ky))))))> #<alt (λ (kx ky th) (* (* (sin th) (/ 1 (hypot (sin kx) (sin ky)))) (/ 1 (/ 1 (sin ky)))))> #<alt (λ (kx ky th) (* (* (cbrt (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (/ 1 (sin ky))))) (cbrt (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (/ 1 (sin ky)))))) (cbrt (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (/ 1 (sin ky)))))))> #<alt (λ (kx ky th) (exp (log (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky)))))))> #<alt (λ (kx ky th) (* (sin th) (log (exp (/ (sin ky) (hypot (sin ky) (sin kx)))))))> #<alt (λ (kx ky th) (* (* (cbrt (sin th)) (cbrt (sin th))) (/ (cbrt (sin th)) (/ (hypot (sin kx) (sin ky)) (sin ky)))))> #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (posit16->real (real->posit16 (/ 1 (sin ky)))))))> #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (exp (log (sin ky)))))> #<alt (λ (kx ky th) (cbrt (* (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky))) (* (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky))) (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky)))))))> #<alt (λ (kx ky th) (* (exp (log (/ (sin th) (hypot (sin kx) (sin ky))))) (/ 1 (/ 1 (sin ky)))))> #<alt (λ (kx ky th) (posit16->real (real->posit16 (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))))))> #<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) (* (/ 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)))))))> #<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)))))))> #<alt (λ (kx ky th) (* (sin th) (/ 1 (expm1 (log1p (/ (hypot (sin ky) (sin kx)) (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) (* (log (exp (/ (sin th) (hypot (sin kx) (sin ky))))) (/ 1 (/ 1 (sin ky)))))> #<alt (λ (kx ky th) (* (sin th) (posit16->real (real->posit16 (/ (sin ky) (hypot (sin ky) (sin kx)))))))> #<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))))))>)
19.589 * * * * [regimes]: Trying to branch on th from (#<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (posit16->real (real->posit16 (sin ky)))))> #<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) (/ 1 (* (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky)))) (/ (hypot (sin ky) (sin kx)) (cbrt (sin ky)))))))> #<alt (λ (kx ky th) (* (posit16->real (real->posit16 (/ (sin th) (hypot (sin kx) (sin ky))))) (/ 1 (/ 1 (sin ky)))))> #<alt (λ (kx ky th) (* (sin th) (/ (sin ky) (* 1 (hypot (sin ky) (sin kx))))))> #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ (/ 1 (* (cbrt (/ 1 (sin ky))) (cbrt (/ 1 (sin ky))))) (cbrt (/ 1 (sin ky))))))> #<alt (λ (kx ky th) (* (* (sin th) (/ 1 (hypot (sin kx) (sin ky)))) (/ 1 (/ 1 (sin ky)))))> #<alt (λ (kx ky th) (* (* (cbrt (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (/ 1 (sin ky))))) (cbrt (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (/ 1 (sin ky)))))) (cbrt (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (/ 1 (sin ky)))))))> #<alt (λ (kx ky th) (exp (log (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky)))))))> #<alt (λ (kx ky th) (* (sin th) (log (exp (/ (sin ky) (hypot (sin ky) (sin kx)))))))> #<alt (λ (kx ky th) (* (* (cbrt (sin th)) (cbrt (sin th))) (/ (cbrt (sin th)) (/ (hypot (sin kx) (sin ky)) (sin ky)))))> #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (posit16->real (real->posit16 (/ 1 (sin ky)))))))> #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (exp (log (sin ky)))))> #<alt (λ (kx ky th) (cbrt (* (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky))) (* (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky))) (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky)))))))> #<alt (λ (kx ky th) (* (exp (log (/ (sin th) (hypot (sin kx) (sin ky))))) (/ 1 (/ 1 (sin ky)))))> #<alt (λ (kx ky th) (posit16->real (real->posit16 (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))))))> #<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) (* (/ 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)))))))> #<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)))))))> #<alt (λ (kx ky th) (* (sin th) (/ 1 (expm1 (log1p (/ (hypot (sin ky) (sin kx)) (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) (* (log (exp (/ (sin th) (hypot (sin kx) (sin ky))))) (/ 1 (/ 1 (sin ky)))))> #<alt (λ (kx ky th) (* (sin th) (posit16->real (real->posit16 (/ (sin ky) (hypot (sin ky) (sin kx)))))))> #<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))))))>)
19.827 * * * * [regimes]: Trying to branch on ky from (#<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (posit16->real (real->posit16 (sin ky)))))> #<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) (/ 1 (* (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky)))) (/ (hypot (sin ky) (sin kx)) (cbrt (sin ky)))))))> #<alt (λ (kx ky th) (* (posit16->real (real->posit16 (/ (sin th) (hypot (sin kx) (sin ky))))) (/ 1 (/ 1 (sin ky)))))> #<alt (λ (kx ky th) (* (sin th) (/ (sin ky) (* 1 (hypot (sin ky) (sin kx))))))> #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ (/ 1 (* (cbrt (/ 1 (sin ky))) (cbrt (/ 1 (sin ky))))) (cbrt (/ 1 (sin ky))))))> #<alt (λ (kx ky th) (* (* (sin th) (/ 1 (hypot (sin kx) (sin ky)))) (/ 1 (/ 1 (sin ky)))))> #<alt (λ (kx ky th) (* (* (cbrt (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (/ 1 (sin ky))))) (cbrt (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (/ 1 (sin ky)))))) (cbrt (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (/ 1 (sin ky)))))))> #<alt (λ (kx ky th) (exp (log (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky)))))))> #<alt (λ (kx ky th) (* (sin th) (log (exp (/ (sin ky) (hypot (sin ky) (sin kx)))))))> #<alt (λ (kx ky th) (* (* (cbrt (sin th)) (cbrt (sin th))) (/ (cbrt (sin th)) (/ (hypot (sin kx) (sin ky)) (sin ky)))))> #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (posit16->real (real->posit16 (/ 1 (sin ky)))))))> #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (exp (log (sin ky)))))> #<alt (λ (kx ky th) (cbrt (* (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky))) (* (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky))) (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky)))))))> #<alt (λ (kx ky th) (* (exp (log (/ (sin th) (hypot (sin kx) (sin ky))))) (/ 1 (/ 1 (sin ky)))))> #<alt (λ (kx ky th) (posit16->real (real->posit16 (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))))))> #<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) (* (/ 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)))))))> #<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)))))))> #<alt (λ (kx ky th) (* (sin th) (/ 1 (expm1 (log1p (/ (hypot (sin ky) (sin kx)) (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) (* (log (exp (/ (sin th) (hypot (sin kx) (sin ky))))) (/ 1 (/ 1 (sin ky)))))> #<alt (λ (kx ky th) (* (sin th) (posit16->real (real->posit16 (/ (sin ky) (hypot (sin ky) (sin kx)))))))> #<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))))))>)
20.039 * * * * [regimes]: Trying to branch on kx from (#<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (posit16->real (real->posit16 (sin ky)))))> #<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) (/ 1 (* (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky)))) (/ (hypot (sin ky) (sin kx)) (cbrt (sin ky)))))))> #<alt (λ (kx ky th) (* (posit16->real (real->posit16 (/ (sin th) (hypot (sin kx) (sin ky))))) (/ 1 (/ 1 (sin ky)))))> #<alt (λ (kx ky th) (* (sin th) (/ (sin ky) (* 1 (hypot (sin ky) (sin kx))))))> #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ (/ 1 (* (cbrt (/ 1 (sin ky))) (cbrt (/ 1 (sin ky))))) (cbrt (/ 1 (sin ky))))))> #<alt (λ (kx ky th) (* (* (sin th) (/ 1 (hypot (sin kx) (sin ky)))) (/ 1 (/ 1 (sin ky)))))> #<alt (λ (kx ky th) (* (* (cbrt (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (/ 1 (sin ky))))) (cbrt (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (/ 1 (sin ky)))))) (cbrt (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (/ 1 (sin ky)))))))> #<alt (λ (kx ky th) (exp (log (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky)))))))> #<alt (λ (kx ky th) (* (sin th) (log (exp (/ (sin ky) (hypot (sin ky) (sin kx)))))))> #<alt (λ (kx ky th) (* (* (cbrt (sin th)) (cbrt (sin th))) (/ (cbrt (sin th)) (/ (hypot (sin kx) (sin ky)) (sin ky)))))> #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (posit16->real (real->posit16 (/ 1 (sin ky)))))))> #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (exp (log (sin ky)))))> #<alt (λ (kx ky th) (cbrt (* (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky))) (* (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky))) (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky)))))))> #<alt (λ (kx ky th) (* (exp (log (/ (sin th) (hypot (sin kx) (sin ky))))) (/ 1 (/ 1 (sin ky)))))> #<alt (λ (kx ky th) (posit16->real (real->posit16 (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))))))> #<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) (* (/ 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)))))))> #<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)))))))> #<alt (λ (kx ky th) (* (sin th) (/ 1 (expm1 (log1p (/ (hypot (sin ky) (sin kx)) (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) (* (log (exp (/ (sin th) (hypot (sin kx) (sin ky))))) (/ 1 (/ 1 (sin ky)))))> #<alt (λ (kx ky th) (* (sin th) (posit16->real (real->posit16 (/ (sin ky) (hypot (sin ky) (sin kx)))))))> #<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))))))>)
20.218 * * * [regime]: Found split indices: #<option (#s(si 4 255))>
20.218 * [simplify]: Simplifying:
  (* (sin th) (/ (sin ky) (* 1 (hypot (sin ky) (sin kx)))))
20.218 * * [simplify]: iteration 0: 11 enodes
20.219 * * [simplify]: iteration 1: 15 enodes
20.219 * * [simplify]: iteration complete: 15 enodes
20.219 * * [simplify]: Extracting #0: cost 1 inf + 0
20.219 * * [simplify]: Extracting #1: cost 3 inf + 0
20.219 * * [simplify]: Extracting #2: cost 6 inf + 0
20.219 * * [simplify]: Extracting #3: cost 8 inf + 1
20.219 * * [simplify]: Extracting #4: cost 5 inf + 125
20.220 * * [simplify]: Extracting #5: cost 0 inf + 899
20.220 * [simplify]: Simplified to:
  (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx))))
36.554 * [regime-testing]: Baseline error score: 8.820356708785829
36.556 * [regime-testing]: Oracle error score: 8.664749904719326
36.561 * [regime-testing]: End program error score: 8.820356708785829