0.671 * [progress]: [Phase 1 of 3] Setting up.
0.004 * * * [progress]: [1/2] Preparing points
1.087 * * * [progress]: [2/2] Setting up program.
1.094 * [progress]: [Phase 2 of 3] Improving.
1.096 * [simplify]: Simplifying:
  (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (sin th))
1.097 * * [simplify]: Extracting # 0 : cost  1  inf +  0
1.098 * * [simplify]: Extracting # 1 : cost  3  inf +  0
1.098 * * [simplify]: Extracting # 2 : cost  6  inf +  0
1.098 * * [simplify]: Extracting # 3 : cost  7  inf +  1
1.098 * * [simplify]: Extracting # 4 : cost  7  inf +  63
1.098 * * [simplify]: Extracting # 5 : cost  8  inf +  124
1.098 * * [simplify]: Extracting # 6 : cost  7  inf +  397
1.098 * * [simplify]: Extracting # 7 : cost  3  inf +  1314
1.098 * * [simplify]: Extracting # 8 : cost  1  inf +  2600
1.099 * * [simplify]: Extracting # 9 : cost  0  inf +  3364
1.099 * * [simplify]: iteration  0 :  13  enodes  (cost  764 )
1.106 * * [simplify]: Extracting # 0 : cost  0  inf +  3364
1.107 * * [simplify]: Extracting # 1 : cost  3  inf +  3364
1.107 * * [simplify]: Extracting # 2 : cost  3  inf +  3526
1.107 * * [simplify]: Extracting # 3 : cost  4  inf +  3526
1.108 * * [simplify]: Extracting # 4 : cost  3  inf +  3527
1.109 * * [simplify]: Extracting # 5 : cost  1  inf +  3882
1.109 * * [simplify]: Extracting # 6 : cost  0  inf +  4195
1.110 * * [simplify]: iteration  1 :  23  enodes  (cost  764 )
1.117 * * [simplify]: Extracting # 0 : cost  0  inf +  4195
1.118 * * [simplify]: Extracting # 1 : cost  4  inf +  4195
1.118 * * [simplify]: Extracting # 2 : cost  3  inf +  5001
1.119 * * [simplify]: Extracting # 3 : cost  0  inf +  5789
1.120 * * [simplify]: iteration  2 :  39  enodes  (cost  764 )
1.131 * * [simplify]: Extracting # 0 : cost  0  inf +  5789
1.132 * * [simplify]: Extracting # 1 : cost  12  inf +  5789
1.133 * * [simplify]: Extracting # 2 : cost  6  inf +  9029
1.135 * * [simplify]: Extracting # 3 : cost  2  inf +  9822
1.137 * * [simplify]: Extracting # 4 : cost  0  inf +  10569
1.138 * * [simplify]: iteration  3 :  68  enodes  (cost  764 )
1.162 * * [simplify]: Extracting # 0 : cost  0  inf +  10569
1.164 * * [simplify]: Extracting # 1 : cost  24  inf +  8455
1.167 * * [simplify]: Extracting # 2 : cost  6  inf +  18079
1.171 * * [simplify]: Extracting # 3 : cost  2  inf +  18317
1.175 * * [simplify]: Extracting # 4 : cost  0  inf +  19025
1.179 * * [simplify]: iteration  4 :  156  enodes  (cost  764 )
1.288 * * [simplify]: Extracting # 0 : cost  0  inf +  19025
1.295 * * [simplify]: Extracting # 1 : cost  165  inf +  13839
1.310 * * [simplify]: Extracting # 2 : cost  41  inf +  85267
1.327 * * [simplify]: Extracting # 3 : cost  14  inf +  89578
1.346 * * [simplify]: Extracting # 4 : cost  0  inf +  94283
1.367 * * [simplify]: iteration  5 :  654  enodes  (cost  764 )
2.186 * * [simplify]: Extracting # 0 : cost  0  inf +  94283
2.246 * * [simplify]: Extracting # 1 : cost  1526  inf +  33953
2.352 * * [simplify]: Extracting # 2 : cost  70  inf +  938542
2.484 * * [simplify]: Extracting # 3 : cost  18  inf +  909040
2.593 * * [simplify]: Extracting # 4 : cost  0  inf +  904574
2.722 * * [simplify]: Extracting # 5 : cost  0  inf +  903579
2.858 * * [simplify]: iteration done:  5000  enodes  (cost  764 )
2.858 * [simplify]: Simplified to:
  (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (sin th))
2.862 * * [progress]: iteration 1 / 4
2.862 * * * [progress]: picking best candidate
2.873 * * * * [pick]: Picked  #<alt (λ (kx ky th) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (sin th)))>
2.873 * * * [progress]: localizing error
2.919 * * * [progress]: generating rewritten candidates
2.919 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2)
2.958 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 2)
2.961 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 1)
2.964 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1)
3.010 * * * [progress]: generating series expansions
3.010 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2)
3.015 * [backup-simplify]: Simplify (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))) into (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))
3.015 * [approximate]: Taking taylor expansion of (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) in (kx ky) around 0
3.016 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) in ky
3.016 * [taylor]: Taking taylor expansion of (+ (pow (sin ky) 2) (pow (sin kx) 2)) in ky
3.016 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in ky
3.016 * [taylor]: Taking taylor expansion of (sin ky) in ky
3.016 * [taylor]: Taking taylor expansion of ky in ky
3.016 * [backup-simplify]: Simplify 0 into 0
3.016 * [backup-simplify]: Simplify 1 into 1
3.018 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.018 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in ky
3.018 * [taylor]: Taking taylor expansion of (sin kx) in ky
3.018 * [taylor]: Taking taylor expansion of kx in ky
3.018 * [backup-simplify]: Simplify kx into kx
3.018 * [backup-simplify]: Simplify (sin kx) into (sin kx)
3.019 * [backup-simplify]: Simplify (cos kx) into (cos kx)
3.019 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
3.019 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
3.020 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
3.020 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
3.020 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
3.021 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
3.021 * [backup-simplify]: Simplify (+ 0) into 0
3.022 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
3.023 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.023 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
3.024 * [backup-simplify]: Simplify (+ 0 0) into 0
3.024 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
3.024 * [backup-simplify]: Simplify (+ 0 0) into 0
3.025 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
3.025 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) in kx
3.025 * [taylor]: Taking taylor expansion of (+ (pow (sin ky) 2) (pow (sin kx) 2)) in kx
3.025 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in kx
3.025 * [taylor]: Taking taylor expansion of (sin ky) in kx
3.025 * [taylor]: Taking taylor expansion of ky in kx
3.025 * [backup-simplify]: Simplify ky into ky
3.025 * [backup-simplify]: Simplify (sin ky) into (sin ky)
3.025 * [backup-simplify]: Simplify (cos ky) into (cos ky)
3.025 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
3.025 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
3.025 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
3.025 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in kx
3.025 * [taylor]: Taking taylor expansion of (sin kx) in kx
3.025 * [taylor]: Taking taylor expansion of kx in kx
3.025 * [backup-simplify]: Simplify 0 into 0
3.025 * [backup-simplify]: Simplify 1 into 1
3.026 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.026 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
3.026 * [backup-simplify]: Simplify (+ (pow (sin ky) 2) 0) into (pow (sin ky) 2)
3.027 * [backup-simplify]: Simplify (sqrt (pow (sin ky) 2)) into (sin ky)
3.027 * [backup-simplify]: Simplify (+ 0) into 0
3.027 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
3.028 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.029 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
3.029 * [backup-simplify]: Simplify (+ 0 0) into 0
3.029 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
3.030 * [backup-simplify]: Simplify (+ 0 0) into 0
3.030 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin ky) 2)))) into 0
3.030 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) in kx
3.030 * [taylor]: Taking taylor expansion of (+ (pow (sin ky) 2) (pow (sin kx) 2)) in kx
3.030 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in kx
3.030 * [taylor]: Taking taylor expansion of (sin ky) in kx
3.030 * [taylor]: Taking taylor expansion of ky in kx
3.030 * [backup-simplify]: Simplify ky into ky
3.030 * [backup-simplify]: Simplify (sin ky) into (sin ky)
3.030 * [backup-simplify]: Simplify (cos ky) into (cos ky)
3.030 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
3.030 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
3.030 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
3.030 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in kx
3.030 * [taylor]: Taking taylor expansion of (sin kx) in kx
3.030 * [taylor]: Taking taylor expansion of kx in kx
3.030 * [backup-simplify]: Simplify 0 into 0
3.031 * [backup-simplify]: Simplify 1 into 1
3.031 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.031 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
3.032 * [backup-simplify]: Simplify (+ (pow (sin ky) 2) 0) into (pow (sin ky) 2)
3.032 * [backup-simplify]: Simplify (sqrt (pow (sin ky) 2)) into (sin ky)
3.032 * [backup-simplify]: Simplify (+ 0) into 0
3.033 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
3.033 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.034 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
3.034 * [backup-simplify]: Simplify (+ 0 0) into 0
3.034 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
3.035 * [backup-simplify]: Simplify (+ 0 0) into 0
3.035 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin ky) 2)))) into 0
3.035 * [taylor]: Taking taylor expansion of (sin ky) in ky
3.036 * [taylor]: Taking taylor expansion of ky in ky
3.036 * [backup-simplify]: Simplify 0 into 0
3.036 * [backup-simplify]: Simplify 1 into 1
3.036 * [backup-simplify]: Simplify 0 into 0
3.036 * [taylor]: Taking taylor expansion of 0 in ky
3.036 * [backup-simplify]: Simplify 0 into 0
3.036 * [backup-simplify]: Simplify 0 into 0
3.037 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.037 * [backup-simplify]: Simplify 1 into 1
3.038 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.039 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 1))) into 0
3.040 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.040 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (* 0 0))) into 0
3.041 * [backup-simplify]: Simplify (+ 0 0) into 0
3.041 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 (sin ky)))) into 0
3.042 * [backup-simplify]: Simplify (* 1 1) into 1
3.042 * [backup-simplify]: Simplify (+ 0 1) into 1
3.043 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sin ky))) into (/ 1/2 (sin ky))
3.043 * [taylor]: Taking taylor expansion of (/ 1/2 (sin ky)) in ky
3.043 * [taylor]: Taking taylor expansion of 1/2 in ky
3.043 * [backup-simplify]: Simplify 1/2 into 1/2
3.043 * [taylor]: Taking taylor expansion of (sin ky) in ky
3.043 * [taylor]: Taking taylor expansion of ky in ky
3.043 * [backup-simplify]: Simplify 0 into 0
3.043 * [backup-simplify]: Simplify 1 into 1
3.044 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.044 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.045 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.046 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.046 * [backup-simplify]: Simplify 0 into 0
3.046 * [backup-simplify]: Simplify 0 into 0
3.047 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.047 * [backup-simplify]: Simplify 0 into 0
3.048 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
3.049 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.051 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
3.051 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
3.052 * [backup-simplify]: Simplify (+ 0 0) into 0
3.053 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin ky))))) into 0
3.053 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.053 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.054 * [backup-simplify]: Simplify (+ 0 0) into 0
3.054 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sin ky)))))) (* 2 (sin ky))) into 0
3.054 * [taylor]: Taking taylor expansion of 0 in ky
3.054 * [backup-simplify]: Simplify 0 into 0
3.054 * [backup-simplify]: Simplify 0 into 0
3.055 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
3.055 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/12
3.056 * [backup-simplify]: Simplify 1/12 into 1/12
3.056 * [backup-simplify]: Simplify 0 into 0
3.062 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
3.062 * [backup-simplify]: Simplify -1/6 into -1/6
3.064 * [backup-simplify]: Simplify (+ (* -1/6 (pow (* ky 1) 3)) (+ (* 1/12 (* ky (pow kx 2))) (* 1 (* ky 1)))) into (- (+ (* 1/12 (* (pow kx 2) ky)) ky) (* 1/6 (pow ky 3)))
3.064 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2.0) (pow (sin (/ 1 ky)) 2.0))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
3.064 * [approximate]: Taking taylor expansion of (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in (kx ky) around 0
3.064 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in ky
3.064 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in ky
3.064 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in ky
3.064 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
3.064 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
3.064 * [taylor]: Taking taylor expansion of kx in ky
3.064 * [backup-simplify]: Simplify kx into kx
3.064 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
3.064 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
3.065 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
3.065 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
3.065 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
3.065 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
3.065 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in ky
3.065 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
3.065 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
3.065 * [taylor]: Taking taylor expansion of ky in ky
3.065 * [backup-simplify]: Simplify 0 into 0
3.065 * [backup-simplify]: Simplify 1 into 1
3.065 * [backup-simplify]: Simplify (/ 1 1) into 1
3.065 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.065 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
3.066 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
3.066 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
3.066 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
3.066 * [backup-simplify]: Simplify (+ 0) into 0
3.067 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
3.067 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
3.067 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.068 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
3.068 * [backup-simplify]: Simplify (+ 0 0) into 0
3.068 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
3.068 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
3.068 * [backup-simplify]: Simplify (+ 0 0) into 0
3.069 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
3.069 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx
3.069 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx
3.069 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx
3.069 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
3.069 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
3.069 * [taylor]: Taking taylor expansion of kx in kx
3.069 * [backup-simplify]: Simplify 0 into 0
3.069 * [backup-simplify]: Simplify 1 into 1
3.069 * [backup-simplify]: Simplify (/ 1 1) into 1
3.069 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
3.069 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx
3.069 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
3.069 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
3.069 * [taylor]: Taking taylor expansion of ky in kx
3.069 * [backup-simplify]: Simplify ky into ky
3.069 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
3.069 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.069 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
3.069 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
3.069 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
3.069 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
3.070 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
3.070 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
3.070 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
3.070 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
3.070 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
3.070 * [backup-simplify]: Simplify (+ 0) into 0
3.071 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
3.071 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
3.071 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.072 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
3.072 * [backup-simplify]: Simplify (+ 0 0) into 0
3.072 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
3.072 * [backup-simplify]: Simplify (+ 0 0) into 0
3.073 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
3.073 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx
3.073 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx
3.073 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx
3.073 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
3.073 * [taylor]: Taking taylor expansion of (/ 1 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 * [backup-simplify]: Simplify (/ 1 1) into 1
3.073 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
3.073 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx
3.073 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
3.073 * [taylor]: Taking taylor expansion of (/ 1 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 (/ 1 ky) into (/ 1 ky)
3.074 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.074 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
3.074 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
3.074 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
3.074 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
3.074 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
3.074 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
3.075 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
3.075 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
3.075 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
3.076 * [backup-simplify]: Simplify (+ 0) into 0
3.076 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
3.076 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
3.077 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.078 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
3.078 * [backup-simplify]: Simplify (+ 0 0) into 0
3.078 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
3.079 * [backup-simplify]: Simplify (+ 0 0) into 0
3.079 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
3.079 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in ky
3.079 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in ky
3.079 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in ky
3.079 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
3.079 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
3.079 * [taylor]: Taking taylor expansion of kx in ky
3.079 * [backup-simplify]: Simplify kx into kx
3.079 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
3.079 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
3.080 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
3.080 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
3.080 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
3.080 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
3.080 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in ky
3.080 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
3.080 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
3.080 * [taylor]: Taking taylor expansion of ky in ky
3.080 * [backup-simplify]: Simplify 0 into 0
3.080 * [backup-simplify]: Simplify 1 into 1
3.080 * [backup-simplify]: Simplify (/ 1 1) into 1
3.081 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.081 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
3.081 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
3.081 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
3.082 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
3.082 * [backup-simplify]: Simplify (+ 0) into 0
3.082 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
3.083 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
3.083 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.084 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
3.084 * [backup-simplify]: Simplify (+ 0 0) into 0
3.084 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
3.084 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
3.085 * [backup-simplify]: Simplify (+ 0 0) into 0
3.085 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
3.086 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
3.086 * [taylor]: Taking taylor expansion of 0 in ky
3.086 * [backup-simplify]: Simplify 0 into 0
3.086 * [backup-simplify]: Simplify 0 into 0
3.086 * [backup-simplify]: Simplify 0 into 0
3.086 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
3.087 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.088 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
3.088 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
3.089 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.089 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
3.089 * [backup-simplify]: Simplify (+ 0 0) into 0
3.090 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
3.090 * [backup-simplify]: Simplify (+ 0 0) into 0
3.090 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
3.090 * [taylor]: Taking taylor expansion of 0 in ky
3.091 * [backup-simplify]: Simplify 0 into 0
3.091 * [backup-simplify]: Simplify 0 into 0
3.091 * [backup-simplify]: Simplify 0 into 0
3.091 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.092 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
3.092 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
3.092 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.093 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
3.093 * [backup-simplify]: Simplify (+ 0 0) into 0
3.093 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
3.093 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
3.094 * [backup-simplify]: Simplify (+ 0 0) into 0
3.094 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
3.094 * [backup-simplify]: Simplify 0 into 0
3.095 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 kx)))))) into 0
3.095 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
3.096 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.096 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
3.097 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
3.098 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
3.098 * [backup-simplify]: Simplify (+ 0 0) into 0
3.098 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 ky)))))) into 0
3.099 * [backup-simplify]: Simplify (+ 0 0) into 0
3.099 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
3.100 * [taylor]: Taking taylor expansion of 0 in ky
3.100 * [backup-simplify]: Simplify 0 into 0
3.100 * [backup-simplify]: Simplify 0 into 0
3.100 * [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)))
3.100 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 (- kx))) 2.0) (pow (sin (/ 1 (- ky))) 2.0))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
3.100 * [approximate]: Taking taylor expansion of (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in (kx ky) around 0
3.100 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in ky
3.100 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in ky
3.100 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in ky
3.101 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
3.101 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
3.101 * [taylor]: Taking taylor expansion of -1 in ky
3.101 * [backup-simplify]: Simplify -1 into -1
3.101 * [taylor]: Taking taylor expansion of kx in ky
3.101 * [backup-simplify]: Simplify kx into kx
3.101 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
3.101 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
3.101 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
3.101 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
3.101 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
3.101 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
3.101 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in ky
3.101 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
3.101 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
3.101 * [taylor]: Taking taylor expansion of -1 in ky
3.101 * [backup-simplify]: Simplify -1 into -1
3.101 * [taylor]: Taking taylor expansion of ky in ky
3.101 * [backup-simplify]: Simplify 0 into 0
3.101 * [backup-simplify]: Simplify 1 into 1
3.101 * [backup-simplify]: Simplify (/ -1 1) into -1
3.102 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.102 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
3.102 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
3.102 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
3.102 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
3.102 * [backup-simplify]: Simplify (+ 0) into 0
3.103 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
3.103 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
3.103 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.104 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
3.104 * [backup-simplify]: Simplify (+ 0 0) into 0
3.104 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
3.104 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
3.104 * [backup-simplify]: Simplify (+ 0 0) into 0
3.105 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
3.105 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx
3.105 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx
3.105 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx
3.105 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
3.105 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
3.105 * [taylor]: Taking taylor expansion of -1 in kx
3.105 * [backup-simplify]: Simplify -1 into -1
3.105 * [taylor]: Taking taylor expansion of kx in kx
3.105 * [backup-simplify]: Simplify 0 into 0
3.105 * [backup-simplify]: Simplify 1 into 1
3.105 * [backup-simplify]: Simplify (/ -1 1) into -1
3.105 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
3.105 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx
3.105 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
3.105 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
3.105 * [taylor]: Taking taylor expansion of -1 in kx
3.105 * [backup-simplify]: Simplify -1 into -1
3.105 * [taylor]: Taking taylor expansion of ky in kx
3.105 * [backup-simplify]: Simplify ky into ky
3.105 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
3.105 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.105 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
3.105 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
3.106 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
3.106 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
3.106 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
3.106 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
3.106 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
3.106 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
3.106 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
3.107 * [backup-simplify]: Simplify (+ 0) into 0
3.107 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
3.107 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
3.108 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.108 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
3.108 * [backup-simplify]: Simplify (+ 0 0) into 0
3.108 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
3.108 * [backup-simplify]: Simplify (+ 0 0) into 0
3.109 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
3.109 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx
3.109 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx
3.109 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx
3.109 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
3.109 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
3.109 * [taylor]: Taking taylor expansion of -1 in kx
3.109 * [backup-simplify]: Simplify -1 into -1
3.109 * [taylor]: Taking taylor expansion of kx in kx
3.109 * [backup-simplify]: Simplify 0 into 0
3.109 * [backup-simplify]: Simplify 1 into 1
3.109 * [backup-simplify]: Simplify (/ -1 1) into -1
3.109 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
3.109 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx
3.109 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
3.109 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
3.109 * [taylor]: Taking taylor expansion of -1 in kx
3.109 * [backup-simplify]: Simplify -1 into -1
3.109 * [taylor]: Taking taylor expansion of ky in kx
3.109 * [backup-simplify]: Simplify ky into ky
3.109 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
3.109 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.110 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
3.110 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
3.110 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
3.110 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
3.110 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
3.110 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
3.110 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
3.110 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
3.110 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
3.111 * [backup-simplify]: Simplify (+ 0) into 0
3.111 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
3.111 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
3.112 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.112 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
3.112 * [backup-simplify]: Simplify (+ 0 0) into 0
3.112 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
3.112 * [backup-simplify]: Simplify (+ 0 0) into 0
3.113 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
3.113 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in ky
3.113 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in ky
3.113 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in ky
3.113 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
3.113 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
3.113 * [taylor]: Taking taylor expansion of -1 in ky
3.113 * [backup-simplify]: Simplify -1 into -1
3.113 * [taylor]: Taking taylor expansion of kx in ky
3.113 * [backup-simplify]: Simplify kx into kx
3.113 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
3.113 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
3.113 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
3.113 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
3.113 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
3.113 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
3.113 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in ky
3.113 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
3.113 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
3.113 * [taylor]: Taking taylor expansion of -1 in ky
3.113 * [backup-simplify]: Simplify -1 into -1
3.113 * [taylor]: Taking taylor expansion of ky in ky
3.113 * [backup-simplify]: Simplify 0 into 0
3.113 * [backup-simplify]: Simplify 1 into 1
3.114 * [backup-simplify]: Simplify (/ -1 1) into -1
3.114 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.114 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
3.114 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
3.114 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
3.114 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
3.115 * [backup-simplify]: Simplify (+ 0) into 0
3.115 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
3.115 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
3.116 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.116 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
3.116 * [backup-simplify]: Simplify (+ 0 0) into 0
3.116 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
3.116 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
3.117 * [backup-simplify]: Simplify (+ 0 0) into 0
3.117 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
3.118 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
3.118 * [taylor]: Taking taylor expansion of 0 in ky
3.118 * [backup-simplify]: Simplify 0 into 0
3.118 * [backup-simplify]: Simplify 0 into 0
3.118 * [backup-simplify]: Simplify 0 into 0
3.118 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
3.119 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.120 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
3.120 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
3.121 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.121 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
3.122 * [backup-simplify]: Simplify (+ 0 0) into 0
3.122 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
3.123 * [backup-simplify]: Simplify (+ 0 0) into 0
3.124 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
3.124 * [taylor]: Taking taylor expansion of 0 in ky
3.124 * [backup-simplify]: Simplify 0 into 0
3.124 * [backup-simplify]: Simplify 0 into 0
3.124 * [backup-simplify]: Simplify 0 into 0
3.125 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.126 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
3.126 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
3.127 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.127 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
3.128 * [backup-simplify]: Simplify (+ 0 0) into 0
3.128 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
3.129 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
3.129 * [backup-simplify]: Simplify (+ 0 0) into 0
3.130 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
3.130 * [backup-simplify]: Simplify 0 into 0
3.131 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 kx)))))) into 0
3.132 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
3.133 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.133 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
3.135 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
3.136 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
3.136 * [backup-simplify]: Simplify (+ 0 0) into 0
3.137 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 ky)))))) into 0
3.137 * [backup-simplify]: Simplify (+ 0 0) into 0
3.139 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
3.139 * [taylor]: Taking taylor expansion of 0 in ky
3.139 * [backup-simplify]: Simplify 0 into 0
3.139 * [backup-simplify]: Simplify 0 into 0
3.139 * [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)))
3.139 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 2)
3.139 * [backup-simplify]: Simplify (pow (sin ky) 2.0) into (pow (sin ky) 2.0)
3.139 * [approximate]: Taking taylor expansion of (pow (sin ky) 2.0) in (ky) around 0
3.139 * [taylor]: Taking taylor expansion of (pow (sin ky) 2.0) in ky
3.140 * [taylor]: Taking taylor expansion of (exp (* 2.0 (log (sin ky)))) in ky
3.140 * [taylor]: Taking taylor expansion of (* 2.0 (log (sin ky))) in ky
3.140 * [taylor]: Taking taylor expansion of 2.0 in ky
3.140 * [backup-simplify]: Simplify 2.0 into 2.0
3.140 * [taylor]: Taking taylor expansion of (log (sin ky)) in ky
3.140 * [taylor]: Taking taylor expansion of (sin ky) in ky
3.140 * [taylor]: Taking taylor expansion of ky in ky
3.140 * [backup-simplify]: Simplify 0 into 0
3.140 * [backup-simplify]: Simplify 1 into 1
3.140 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.141 * [backup-simplify]: Simplify (log 1) into 0
3.142 * [backup-simplify]: Simplify (+ (* (- -1) (log ky)) 0) into (log ky)
3.142 * [backup-simplify]: Simplify (* 2.0 (log ky)) into (* 2.0 (log ky))
3.142 * [backup-simplify]: Simplify (exp (* 2.0 (log ky))) into (pow ky 2.0)
3.142 * [taylor]: Taking taylor expansion of (pow (sin ky) 2.0) in ky
3.142 * [taylor]: Taking taylor expansion of (exp (* 2.0 (log (sin ky)))) in ky
3.142 * [taylor]: Taking taylor expansion of (* 2.0 (log (sin ky))) in ky
3.142 * [taylor]: Taking taylor expansion of 2.0 in ky
3.142 * [backup-simplify]: Simplify 2.0 into 2.0
3.142 * [taylor]: Taking taylor expansion of (log (sin ky)) in ky
3.142 * [taylor]: Taking taylor expansion of (sin ky) in ky
3.142 * [taylor]: Taking taylor expansion of ky in ky
3.142 * [backup-simplify]: Simplify 0 into 0
3.142 * [backup-simplify]: Simplify 1 into 1
3.143 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.143 * [backup-simplify]: Simplify (log 1) into 0
3.144 * [backup-simplify]: Simplify (+ (* (- -1) (log ky)) 0) into (log ky)
3.144 * [backup-simplify]: Simplify (* 2.0 (log ky)) into (* 2.0 (log ky))
3.144 * [backup-simplify]: Simplify (exp (* 2.0 (log ky))) into (pow ky 2.0)
3.144 * [backup-simplify]: Simplify (pow ky 2.0) into (pow ky 2.0)
3.145 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.147 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
3.147 * [backup-simplify]: Simplify (+ (* (- -1) (log ky)) 0) into (log ky)
3.148 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (log ky))) into 0
3.149 * [backup-simplify]: Simplify (* (exp (* 2.0 (log ky))) (+ (* (/ (pow 0 1) 1)))) into 0
3.149 * [backup-simplify]: Simplify 0 into 0
3.151 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
3.154 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/6) 1)) (pow 1 1)))) 2) into -1/6
3.155 * [backup-simplify]: Simplify (+ (* (- -1) (log ky)) 0) into (log ky)
3.155 * [backup-simplify]: Simplify (+ (* 2.0 -1/6) (+ (* 0 0) (* 0 (log ky)))) into (- 0.3333333333333333)
3.160 * [backup-simplify]: Simplify (* (exp (* 2.0 (log ky))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (pow (pow ky 2.0) 1.0))
3.160 * [backup-simplify]: Simplify (* -0.3333333333333333 (pow (pow ky 2.0) 1.0)) into (* -0.3333333333333333 (pow (pow ky 2.0) 1.0))
3.162 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
3.167 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 -1/6) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
3.168 * [backup-simplify]: Simplify (+ (* (- -1) (log ky)) 0) into (log ky)
3.169 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 -1/6) (+ (* 0 0) (* 0 (log ky))))) into 0
3.171 * [backup-simplify]: Simplify (* (exp (* 2.0 (log ky))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- 0.3333333333333333) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
3.172 * [backup-simplify]: Simplify 0 into 0
3.176 * [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
3.188 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 -1/6) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 -1/6) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 1/120) 1)) (pow 1 1)))) 24) into -1/180
3.188 * [backup-simplify]: Simplify (+ (* (- -1) (log ky)) 0) into (log ky)
3.190 * [backup-simplify]: Simplify (+ (* 2.0 -1/180) (+ (* 0 0) (+ (* 0 -1/6) (+ (* 0 0) (* 0 (log ky)))))) into (- 0.011111111111111112)
3.205 * [backup-simplify]: Simplify (* (exp (* 2.0 (log ky))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (- 0.3333333333333333) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.011111111111111112) 1) 1)))) into (* 0.04444444444444444 (pow (pow ky 2.0) 1.0))
3.205 * [backup-simplify]: Simplify (* 0.04444444444444444 (pow (pow ky 2.0) 1.0)) into (* 0.04444444444444444 (pow (pow ky 2.0) 1.0))
3.206 * [backup-simplify]: Simplify (+ (* (* 0.04444444444444444 (pow (pow ky 2.0) 1.0)) (pow ky 4)) (+ (* (* -0.3333333333333333 (pow (pow ky 2.0) 1.0)) (pow ky 2)) (pow ky 2.0))) into (- (+ (* 0.04444444444444444 (pow ky 6)) (pow ky 2)) (* 0.3333333333333333 (pow ky 4)))
3.206 * [backup-simplify]: Simplify (pow (sin (/ 1 ky)) 2.0) into (pow (sin (/ 1 ky)) 2.0)
3.206 * [approximate]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2.0) in (ky) around 0
3.206 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2.0) in ky
3.206 * [taylor]: Taking taylor expansion of (exp (* 2.0 (log (sin (/ 1 ky))))) in ky
3.206 * [taylor]: Taking taylor expansion of (* 2.0 (log (sin (/ 1 ky)))) in ky
3.206 * [taylor]: Taking taylor expansion of 2.0 in ky
3.206 * [backup-simplify]: Simplify 2.0 into 2.0
3.206 * [taylor]: Taking taylor expansion of (log (sin (/ 1 ky))) in ky
3.206 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
3.206 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
3.206 * [taylor]: Taking taylor expansion of ky in ky
3.206 * [backup-simplify]: Simplify 0 into 0
3.206 * [backup-simplify]: Simplify 1 into 1
3.207 * [backup-simplify]: Simplify (/ 1 1) into 1
3.207 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.207 * [backup-simplify]: Simplify (log (sin (/ 1 ky))) into (log (sin (/ 1 ky)))
3.207 * [backup-simplify]: Simplify (* 2.0 (log (sin (/ 1 ky)))) into (* 2.0 (log (sin (/ 1 ky))))
3.208 * [backup-simplify]: Simplify (exp (* 2.0 (log (sin (/ 1 ky))))) into (pow (sin (/ 1 ky)) 2.0)
3.208 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2.0) in ky
3.208 * [taylor]: Taking taylor expansion of (exp (* 2.0 (log (sin (/ 1 ky))))) in ky
3.208 * [taylor]: Taking taylor expansion of (* 2.0 (log (sin (/ 1 ky)))) in ky
3.208 * [taylor]: Taking taylor expansion of 2.0 in ky
3.208 * [backup-simplify]: Simplify 2.0 into 2.0
3.208 * [taylor]: Taking taylor expansion of (log (sin (/ 1 ky))) in ky
3.208 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
3.208 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
3.208 * [taylor]: Taking taylor expansion of ky in ky
3.208 * [backup-simplify]: Simplify 0 into 0
3.208 * [backup-simplify]: Simplify 1 into 1
3.208 * [backup-simplify]: Simplify (/ 1 1) into 1
3.208 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.208 * [backup-simplify]: Simplify (log (sin (/ 1 ky))) into (log (sin (/ 1 ky)))
3.209 * [backup-simplify]: Simplify (* 2.0 (log (sin (/ 1 ky)))) into (* 2.0 (log (sin (/ 1 ky))))
3.209 * [backup-simplify]: Simplify (exp (* 2.0 (log (sin (/ 1 ky))))) into (pow (sin (/ 1 ky)) 2.0)
3.209 * [backup-simplify]: Simplify (pow (sin (/ 1 ky)) 2.0) into (pow (sin (/ 1 ky)) 2.0)
3.210 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sin (/ 1 ky)) 1)))) 1) into 0
3.210 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (log (sin (/ 1 ky))))) into 0
3.211 * [backup-simplify]: Simplify (* (exp (* 2.0 (log (sin (/ 1 ky))))) (+ (* (/ (pow 0 1) 1)))) into 0
3.211 * [backup-simplify]: Simplify 0 into 0
3.213 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sin (/ 1 ky)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sin (/ 1 ky)) 1)))) 2) into 0
3.214 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (log (sin (/ 1 ky)))))) into 0
3.215 * [backup-simplify]: Simplify (* (exp (* 2.0 (log (sin (/ 1 ky))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.215 * [backup-simplify]: Simplify 0 into 0
3.219 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sin (/ 1 ky)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sin (/ 1 ky)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sin (/ 1 ky)) 1)))) 6) into 0
3.220 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sin (/ 1 ky))))))) into 0
3.222 * [backup-simplify]: Simplify (* (exp (* 2.0 (log (sin (/ 1 ky))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
3.222 * [backup-simplify]: Simplify 0 into 0
3.227 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sin (/ 1 ky)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (sin (/ 1 ky)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (sin (/ 1 ky)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sin (/ 1 ky)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (sin (/ 1 ky)) 1)))) 24) into 0
3.228 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sin (/ 1 ky)))))))) into 0
3.231 * [backup-simplify]: Simplify (* (exp (* 2.0 (log (sin (/ 1 ky))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.231 * [backup-simplify]: Simplify 0 into 0
3.240 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (sin (/ 1 ky)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (sin (/ 1 ky)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (sin (/ 1 ky)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (sin (/ 1 ky)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (sin (/ 1 ky)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (sin (/ 1 ky)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (sin (/ 1 ky)) 1)))) 120) into 0
3.242 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sin (/ 1 ky))))))))) into 0
3.246 * [backup-simplify]: Simplify (* (exp (* 2.0 (log (sin (/ 1 ky))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
3.246 * [backup-simplify]: Simplify 0 into 0
3.259 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (sin (/ 1 ky)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (sin (/ 1 ky)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (sin (/ 1 ky)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (sin (/ 1 ky)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (sin (/ 1 ky)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (sin (/ 1 ky)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (sin (/ 1 ky)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (sin (/ 1 ky)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (sin (/ 1 ky)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (sin (/ 1 ky)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (sin (/ 1 ky)) 1)))) 720) into 0
3.261 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sin (/ 1 ky)))))))))) into 0
3.267 * [backup-simplify]: Simplify (* (exp (* 2.0 (log (sin (/ 1 ky))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.267 * [backup-simplify]: Simplify 0 into 0
3.268 * [backup-simplify]: Simplify (pow (sin (/ 1 (/ 1 ky))) 2.0) into (pow (sin ky) 2.0)
3.268 * [backup-simplify]: Simplify (pow (sin (/ 1 (- ky))) 2.0) into (pow (sin (/ -1 ky)) 2.0)
3.268 * [approximate]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2.0) in (ky) around 0
3.268 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2.0) in ky
3.268 * [taylor]: Taking taylor expansion of (exp (* 2.0 (log (sin (/ -1 ky))))) in ky
3.268 * [taylor]: Taking taylor expansion of (* 2.0 (log (sin (/ -1 ky)))) in ky
3.268 * [taylor]: Taking taylor expansion of 2.0 in ky
3.268 * [backup-simplify]: Simplify 2.0 into 2.0
3.268 * [taylor]: Taking taylor expansion of (log (sin (/ -1 ky))) in ky
3.268 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
3.268 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
3.268 * [taylor]: Taking taylor expansion of -1 in ky
3.268 * [backup-simplify]: Simplify -1 into -1
3.268 * [taylor]: Taking taylor expansion of ky in ky
3.268 * [backup-simplify]: Simplify 0 into 0
3.268 * [backup-simplify]: Simplify 1 into 1
3.269 * [backup-simplify]: Simplify (/ -1 1) into -1
3.269 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.269 * [backup-simplify]: Simplify (log (sin (/ -1 ky))) into (log (sin (/ -1 ky)))
3.269 * [backup-simplify]: Simplify (* 2.0 (log (sin (/ -1 ky)))) into (* 2.0 (log (sin (/ -1 ky))))
3.269 * [backup-simplify]: Simplify (exp (* 2.0 (log (sin (/ -1 ky))))) into (pow (sin (/ -1 ky)) 2.0)
3.269 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2.0) in ky
3.269 * [taylor]: Taking taylor expansion of (exp (* 2.0 (log (sin (/ -1 ky))))) in ky
3.269 * [taylor]: Taking taylor expansion of (* 2.0 (log (sin (/ -1 ky)))) in ky
3.269 * [taylor]: Taking taylor expansion of 2.0 in ky
3.269 * [backup-simplify]: Simplify 2.0 into 2.0
3.270 * [taylor]: Taking taylor expansion of (log (sin (/ -1 ky))) in ky
3.270 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
3.270 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
3.270 * [taylor]: Taking taylor expansion of -1 in ky
3.270 * [backup-simplify]: Simplify -1 into -1
3.270 * [taylor]: Taking taylor expansion of ky in ky
3.270 * [backup-simplify]: Simplify 0 into 0
3.270 * [backup-simplify]: Simplify 1 into 1
3.270 * [backup-simplify]: Simplify (/ -1 1) into -1
3.270 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.270 * [backup-simplify]: Simplify (log (sin (/ -1 ky))) into (log (sin (/ -1 ky)))
3.271 * [backup-simplify]: Simplify (* 2.0 (log (sin (/ -1 ky)))) into (* 2.0 (log (sin (/ -1 ky))))
3.271 * [backup-simplify]: Simplify (exp (* 2.0 (log (sin (/ -1 ky))))) into (pow (sin (/ -1 ky)) 2.0)
3.271 * [backup-simplify]: Simplify (pow (sin (/ -1 ky)) 2.0) into (pow (sin (/ -1 ky)) 2.0)
3.272 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sin (/ -1 ky)) 1)))) 1) into 0
3.273 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (log (sin (/ -1 ky))))) into 0
3.274 * [backup-simplify]: Simplify (* (exp (* 2.0 (log (sin (/ -1 ky))))) (+ (* (/ (pow 0 1) 1)))) into 0
3.274 * [backup-simplify]: Simplify 0 into 0
3.276 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sin (/ -1 ky)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sin (/ -1 ky)) 1)))) 2) into 0
3.277 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (log (sin (/ -1 ky)))))) into 0
3.278 * [backup-simplify]: Simplify (* (exp (* 2.0 (log (sin (/ -1 ky))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.278 * [backup-simplify]: Simplify 0 into 0
3.281 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sin (/ -1 ky)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sin (/ -1 ky)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sin (/ -1 ky)) 1)))) 6) into 0
3.283 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sin (/ -1 ky))))))) into 0
3.284 * [backup-simplify]: Simplify (* (exp (* 2.0 (log (sin (/ -1 ky))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
3.284 * [backup-simplify]: Simplify 0 into 0
3.290 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sin (/ -1 ky)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (sin (/ -1 ky)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (sin (/ -1 ky)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sin (/ -1 ky)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (sin (/ -1 ky)) 1)))) 24) into 0
3.291 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sin (/ -1 ky)))))))) into 0
3.294 * [backup-simplify]: Simplify (* (exp (* 2.0 (log (sin (/ -1 ky))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.294 * [backup-simplify]: Simplify 0 into 0
3.302 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (sin (/ -1 ky)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (sin (/ -1 ky)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (sin (/ -1 ky)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (sin (/ -1 ky)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (sin (/ -1 ky)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (sin (/ -1 ky)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (sin (/ -1 ky)) 1)))) 120) into 0
3.304 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sin (/ -1 ky))))))))) into 0
3.308 * [backup-simplify]: Simplify (* (exp (* 2.0 (log (sin (/ -1 ky))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
3.308 * [backup-simplify]: Simplify 0 into 0
3.321 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (sin (/ -1 ky)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (sin (/ -1 ky)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (sin (/ -1 ky)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (sin (/ -1 ky)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (sin (/ -1 ky)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (sin (/ -1 ky)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (sin (/ -1 ky)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (sin (/ -1 ky)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (sin (/ -1 ky)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (sin (/ -1 ky)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (sin (/ -1 ky)) 1)))) 720) into 0
3.324 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sin (/ -1 ky)))))))))) into 0
3.327 * [backup-simplify]: Simplify (* (exp (* 2.0 (log (sin (/ -1 ky))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.327 * [backup-simplify]: Simplify 0 into 0
3.327 * [backup-simplify]: Simplify (pow (sin (/ -1 (/ 1 (- ky)))) 2.0) into (pow (sin ky) 2.0)
3.327 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 1)
3.328 * [backup-simplify]: Simplify (pow (sin kx) 2.0) into (pow (sin kx) 2.0)
3.328 * [approximate]: Taking taylor expansion of (pow (sin kx) 2.0) in (kx) around 0
3.328 * [taylor]: Taking taylor expansion of (pow (sin kx) 2.0) in kx
3.328 * [taylor]: Taking taylor expansion of (exp (* 2.0 (log (sin kx)))) in kx
3.328 * [taylor]: Taking taylor expansion of (* 2.0 (log (sin kx))) in kx
3.328 * [taylor]: Taking taylor expansion of 2.0 in kx
3.328 * [backup-simplify]: Simplify 2.0 into 2.0
3.328 * [taylor]: Taking taylor expansion of (log (sin kx)) in kx
3.328 * [taylor]: Taking taylor expansion of (sin kx) in kx
3.328 * [taylor]: Taking taylor expansion of kx in kx
3.328 * [backup-simplify]: Simplify 0 into 0
3.328 * [backup-simplify]: Simplify 1 into 1
3.328 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.329 * [backup-simplify]: Simplify (log 1) into 0
3.329 * [backup-simplify]: Simplify (+ (* (- -1) (log kx)) 0) into (log kx)
3.329 * [backup-simplify]: Simplify (* 2.0 (log kx)) into (* 2.0 (log kx))
3.329 * [backup-simplify]: Simplify (exp (* 2.0 (log kx))) into (pow kx 2.0)
3.329 * [taylor]: Taking taylor expansion of (pow (sin kx) 2.0) in kx
3.329 * [taylor]: Taking taylor expansion of (exp (* 2.0 (log (sin kx)))) in kx
3.329 * [taylor]: Taking taylor expansion of (* 2.0 (log (sin kx))) in kx
3.329 * [taylor]: Taking taylor expansion of 2.0 in kx
3.329 * [backup-simplify]: Simplify 2.0 into 2.0
3.329 * [taylor]: Taking taylor expansion of (log (sin kx)) in kx
3.329 * [taylor]: Taking taylor expansion of (sin kx) in kx
3.329 * [taylor]: Taking taylor expansion of kx in kx
3.329 * [backup-simplify]: Simplify 0 into 0
3.329 * [backup-simplify]: Simplify 1 into 1
3.330 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.330 * [backup-simplify]: Simplify (log 1) into 0
3.330 * [backup-simplify]: Simplify (+ (* (- -1) (log kx)) 0) into (log kx)
3.330 * [backup-simplify]: Simplify (* 2.0 (log kx)) into (* 2.0 (log kx))
3.330 * [backup-simplify]: Simplify (exp (* 2.0 (log kx))) into (pow kx 2.0)
3.330 * [backup-simplify]: Simplify (pow kx 2.0) into (pow kx 2.0)
3.331 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.332 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
3.332 * [backup-simplify]: Simplify (+ (* (- -1) (log kx)) 0) into (log kx)
3.332 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (log kx))) into 0
3.333 * [backup-simplify]: Simplify (* (exp (* 2.0 (log kx))) (+ (* (/ (pow 0 1) 1)))) into 0
3.333 * [backup-simplify]: Simplify 0 into 0
3.334 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
3.335 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/6) 1)) (pow 1 1)))) 2) into -1/6
3.336 * [backup-simplify]: Simplify (+ (* (- -1) (log kx)) 0) into (log kx)
3.336 * [backup-simplify]: Simplify (+ (* 2.0 -1/6) (+ (* 0 0) (* 0 (log kx)))) into (- 0.3333333333333333)
3.340 * [backup-simplify]: Simplify (* (exp (* 2.0 (log kx))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (pow (pow kx 2.0) 1.0))
3.340 * [backup-simplify]: Simplify (* -0.3333333333333333 (pow (pow kx 2.0) 1.0)) into (* -0.3333333333333333 (pow (pow kx 2.0) 1.0))
3.341 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
3.344 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 -1/6) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
3.344 * [backup-simplify]: Simplify (+ (* (- -1) (log kx)) 0) into (log kx)
3.345 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 -1/6) (+ (* 0 0) (* 0 (log kx))))) into 0
3.347 * [backup-simplify]: Simplify (* (exp (* 2.0 (log kx))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- 0.3333333333333333) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
3.347 * [backup-simplify]: Simplify 0 into 0
3.349 * [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
3.357 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 -1/6) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 -1/6) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 1/120) 1)) (pow 1 1)))) 24) into -1/180
3.358 * [backup-simplify]: Simplify (+ (* (- -1) (log kx)) 0) into (log kx)
3.360 * [backup-simplify]: Simplify (+ (* 2.0 -1/180) (+ (* 0 0) (+ (* 0 -1/6) (+ (* 0 0) (* 0 (log kx)))))) into (- 0.011111111111111112)
3.367 * [backup-simplify]: Simplify (* (exp (* 2.0 (log kx))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (- 0.3333333333333333) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.011111111111111112) 1) 1)))) into (* 0.04444444444444444 (pow (pow kx 2.0) 1.0))
3.367 * [backup-simplify]: Simplify (* 0.04444444444444444 (pow (pow kx 2.0) 1.0)) into (* 0.04444444444444444 (pow (pow kx 2.0) 1.0))
3.367 * [backup-simplify]: Simplify (+ (* (* 0.04444444444444444 (pow (pow kx 2.0) 1.0)) (pow kx 4)) (+ (* (* -0.3333333333333333 (pow (pow kx 2.0) 1.0)) (pow kx 2)) (pow kx 2.0))) into (- (+ (pow kx 2) (* 0.04444444444444444 (pow kx 6))) (* 0.3333333333333333 (pow kx 4)))
3.368 * [backup-simplify]: Simplify (pow (sin (/ 1 kx)) 2.0) into (pow (sin (/ 1 kx)) 2.0)
3.368 * [approximate]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2.0) in (kx) around 0
3.368 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2.0) in kx
3.368 * [taylor]: Taking taylor expansion of (exp (* 2.0 (log (sin (/ 1 kx))))) in kx
3.368 * [taylor]: Taking taylor expansion of (* 2.0 (log (sin (/ 1 kx)))) in kx
3.368 * [taylor]: Taking taylor expansion of 2.0 in kx
3.368 * [backup-simplify]: Simplify 2.0 into 2.0
3.368 * [taylor]: Taking taylor expansion of (log (sin (/ 1 kx))) in kx
3.368 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
3.368 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
3.368 * [taylor]: Taking taylor expansion of kx in kx
3.368 * [backup-simplify]: Simplify 0 into 0
3.368 * [backup-simplify]: Simplify 1 into 1
3.368 * [backup-simplify]: Simplify (/ 1 1) into 1
3.368 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
3.368 * [backup-simplify]: Simplify (log (sin (/ 1 kx))) into (log (sin (/ 1 kx)))
3.368 * [backup-simplify]: Simplify (* 2.0 (log (sin (/ 1 kx)))) into (* 2.0 (log (sin (/ 1 kx))))
3.368 * [backup-simplify]: Simplify (exp (* 2.0 (log (sin (/ 1 kx))))) into (pow (sin (/ 1 kx)) 2.0)
3.368 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2.0) in kx
3.368 * [taylor]: Taking taylor expansion of (exp (* 2.0 (log (sin (/ 1 kx))))) in kx
3.368 * [taylor]: Taking taylor expansion of (* 2.0 (log (sin (/ 1 kx)))) in kx
3.368 * [taylor]: Taking taylor expansion of 2.0 in kx
3.368 * [backup-simplify]: Simplify 2.0 into 2.0
3.368 * [taylor]: Taking taylor expansion of (log (sin (/ 1 kx))) in kx
3.369 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
3.369 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
3.369 * [taylor]: Taking taylor expansion of kx in kx
3.369 * [backup-simplify]: Simplify 0 into 0
3.369 * [backup-simplify]: Simplify 1 into 1
3.369 * [backup-simplify]: Simplify (/ 1 1) into 1
3.369 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
3.369 * [backup-simplify]: Simplify (log (sin (/ 1 kx))) into (log (sin (/ 1 kx)))
3.369 * [backup-simplify]: Simplify (* 2.0 (log (sin (/ 1 kx)))) into (* 2.0 (log (sin (/ 1 kx))))
3.369 * [backup-simplify]: Simplify (exp (* 2.0 (log (sin (/ 1 kx))))) into (pow (sin (/ 1 kx)) 2.0)
3.369 * [backup-simplify]: Simplify (pow (sin (/ 1 kx)) 2.0) into (pow (sin (/ 1 kx)) 2.0)
3.370 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sin (/ 1 kx)) 1)))) 1) into 0
3.370 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (log (sin (/ 1 kx))))) into 0
3.371 * [backup-simplify]: Simplify (* (exp (* 2.0 (log (sin (/ 1 kx))))) (+ (* (/ (pow 0 1) 1)))) into 0
3.371 * [backup-simplify]: Simplify 0 into 0
3.372 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sin (/ 1 kx)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sin (/ 1 kx)) 1)))) 2) into 0
3.372 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (log (sin (/ 1 kx)))))) into 0
3.373 * [backup-simplify]: Simplify (* (exp (* 2.0 (log (sin (/ 1 kx))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.373 * [backup-simplify]: Simplify 0 into 0
3.375 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sin (/ 1 kx)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sin (/ 1 kx)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sin (/ 1 kx)) 1)))) 6) into 0
3.376 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sin (/ 1 kx))))))) into 0
3.377 * [backup-simplify]: Simplify (* (exp (* 2.0 (log (sin (/ 1 kx))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
3.377 * [backup-simplify]: Simplify 0 into 0
3.380 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sin (/ 1 kx)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (sin (/ 1 kx)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (sin (/ 1 kx)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sin (/ 1 kx)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (sin (/ 1 kx)) 1)))) 24) into 0
3.381 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sin (/ 1 kx)))))))) into 0
3.382 * [backup-simplify]: Simplify (* (exp (* 2.0 (log (sin (/ 1 kx))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.382 * [backup-simplify]: Simplify 0 into 0
3.387 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (sin (/ 1 kx)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (sin (/ 1 kx)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (sin (/ 1 kx)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (sin (/ 1 kx)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (sin (/ 1 kx)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (sin (/ 1 kx)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (sin (/ 1 kx)) 1)))) 120) into 0
3.388 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sin (/ 1 kx))))))))) into 0
3.392 * [backup-simplify]: Simplify (* (exp (* 2.0 (log (sin (/ 1 kx))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
3.392 * [backup-simplify]: Simplify 0 into 0
3.406 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (sin (/ 1 kx)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (sin (/ 1 kx)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (sin (/ 1 kx)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (sin (/ 1 kx)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (sin (/ 1 kx)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (sin (/ 1 kx)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (sin (/ 1 kx)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (sin (/ 1 kx)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (sin (/ 1 kx)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (sin (/ 1 kx)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (sin (/ 1 kx)) 1)))) 720) into 0
3.408 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sin (/ 1 kx)))))))))) into 0
3.414 * [backup-simplify]: Simplify (* (exp (* 2.0 (log (sin (/ 1 kx))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.414 * [backup-simplify]: Simplify 0 into 0
3.415 * [backup-simplify]: Simplify (pow (sin (/ 1 (/ 1 kx))) 2.0) into (pow (sin kx) 2.0)
3.415 * [backup-simplify]: Simplify (pow (sin (/ 1 (- kx))) 2.0) into (pow (sin (/ -1 kx)) 2.0)
3.415 * [approximate]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2.0) in (kx) around 0
3.415 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2.0) in kx
3.415 * [taylor]: Taking taylor expansion of (exp (* 2.0 (log (sin (/ -1 kx))))) in kx
3.415 * [taylor]: Taking taylor expansion of (* 2.0 (log (sin (/ -1 kx)))) in kx
3.415 * [taylor]: Taking taylor expansion of 2.0 in kx
3.415 * [backup-simplify]: Simplify 2.0 into 2.0
3.415 * [taylor]: Taking taylor expansion of (log (sin (/ -1 kx))) in kx
3.415 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
3.415 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
3.415 * [taylor]: Taking taylor expansion of -1 in kx
3.415 * [backup-simplify]: Simplify -1 into -1
3.415 * [taylor]: Taking taylor expansion of kx in kx
3.415 * [backup-simplify]: Simplify 0 into 0
3.415 * [backup-simplify]: Simplify 1 into 1
3.416 * [backup-simplify]: Simplify (/ -1 1) into -1
3.416 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
3.416 * [backup-simplify]: Simplify (log (sin (/ -1 kx))) into (log (sin (/ -1 kx)))
3.416 * [backup-simplify]: Simplify (* 2.0 (log (sin (/ -1 kx)))) into (* 2.0 (log (sin (/ -1 kx))))
3.416 * [backup-simplify]: Simplify (exp (* 2.0 (log (sin (/ -1 kx))))) into (pow (sin (/ -1 kx)) 2.0)
3.416 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2.0) in kx
3.416 * [taylor]: Taking taylor expansion of (exp (* 2.0 (log (sin (/ -1 kx))))) in kx
3.416 * [taylor]: Taking taylor expansion of (* 2.0 (log (sin (/ -1 kx)))) in kx
3.416 * [taylor]: Taking taylor expansion of 2.0 in kx
3.416 * [backup-simplify]: Simplify 2.0 into 2.0
3.417 * [taylor]: Taking taylor expansion of (log (sin (/ -1 kx))) in kx
3.417 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
3.417 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
3.417 * [taylor]: Taking taylor expansion of -1 in kx
3.417 * [backup-simplify]: Simplify -1 into -1
3.417 * [taylor]: Taking taylor expansion of kx in kx
3.417 * [backup-simplify]: Simplify 0 into 0
3.417 * [backup-simplify]: Simplify 1 into 1
3.417 * [backup-simplify]: Simplify (/ -1 1) into -1
3.417 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
3.417 * [backup-simplify]: Simplify (log (sin (/ -1 kx))) into (log (sin (/ -1 kx)))
3.417 * [backup-simplify]: Simplify (* 2.0 (log (sin (/ -1 kx)))) into (* 2.0 (log (sin (/ -1 kx))))
3.418 * [backup-simplify]: Simplify (exp (* 2.0 (log (sin (/ -1 kx))))) into (pow (sin (/ -1 kx)) 2.0)
3.418 * [backup-simplify]: Simplify (pow (sin (/ -1 kx)) 2.0) into (pow (sin (/ -1 kx)) 2.0)
3.419 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sin (/ -1 kx)) 1)))) 1) into 0
3.419 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (log (sin (/ -1 kx))))) into 0
3.420 * [backup-simplify]: Simplify (* (exp (* 2.0 (log (sin (/ -1 kx))))) (+ (* (/ (pow 0 1) 1)))) into 0
3.420 * [backup-simplify]: Simplify 0 into 0
3.422 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sin (/ -1 kx)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sin (/ -1 kx)) 1)))) 2) into 0
3.423 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (log (sin (/ -1 kx)))))) into 0
3.425 * [backup-simplify]: Simplify (* (exp (* 2.0 (log (sin (/ -1 kx))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.425 * [backup-simplify]: Simplify 0 into 0
3.428 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sin (/ -1 kx)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sin (/ -1 kx)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sin (/ -1 kx)) 1)))) 6) into 0
3.429 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sin (/ -1 kx))))))) into 0
3.431 * [backup-simplify]: Simplify (* (exp (* 2.0 (log (sin (/ -1 kx))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
3.431 * [backup-simplify]: Simplify 0 into 0
3.436 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sin (/ -1 kx)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (sin (/ -1 kx)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (sin (/ -1 kx)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sin (/ -1 kx)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (sin (/ -1 kx)) 1)))) 24) into 0
3.438 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sin (/ -1 kx)))))))) into 0
3.440 * [backup-simplify]: Simplify (* (exp (* 2.0 (log (sin (/ -1 kx))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.440 * [backup-simplify]: Simplify 0 into 0
3.448 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (sin (/ -1 kx)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (sin (/ -1 kx)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (sin (/ -1 kx)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (sin (/ -1 kx)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (sin (/ -1 kx)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (sin (/ -1 kx)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (sin (/ -1 kx)) 1)))) 120) into 0
3.451 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sin (/ -1 kx))))))))) into 0
3.456 * [backup-simplify]: Simplify (* (exp (* 2.0 (log (sin (/ -1 kx))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
3.456 * [backup-simplify]: Simplify 0 into 0
3.469 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (sin (/ -1 kx)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (sin (/ -1 kx)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (sin (/ -1 kx)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (sin (/ -1 kx)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (sin (/ -1 kx)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (sin (/ -1 kx)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (sin (/ -1 kx)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (sin (/ -1 kx)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (sin (/ -1 kx)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (sin (/ -1 kx)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (sin (/ -1 kx)) 1)))) 720) into 0
3.472 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sin (/ -1 kx)))))))))) into 0
3.478 * [backup-simplify]: Simplify (* (exp (* 2.0 (log (sin (/ -1 kx))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.479 * [backup-simplify]: Simplify 0 into 0
3.479 * [backup-simplify]: Simplify (pow (sin (/ -1 (/ 1 (- kx)))) 2.0) into (pow (sin kx) 2.0)
3.479 * * * * [progress]: [ 4 / 4 ] generating series at (2 1)
3.479 * [backup-simplify]: Simplify (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) into (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))
3.479 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)) in (ky kx) around 0
3.480 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)) in kx
3.480 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) in kx
3.480 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2))) in kx
3.480 * [taylor]: Taking taylor expansion of (+ (pow (sin ky) 2) (pow (sin kx) 2)) in kx
3.480 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in kx
3.480 * [taylor]: Taking taylor expansion of (sin ky) in kx
3.480 * [taylor]: Taking taylor expansion of ky in kx
3.480 * [backup-simplify]: Simplify ky into ky
3.480 * [backup-simplify]: Simplify (sin ky) into (sin ky)
3.480 * [backup-simplify]: Simplify (cos ky) into (cos ky)
3.480 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
3.480 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
3.480 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
3.480 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in kx
3.480 * [taylor]: Taking taylor expansion of (sin kx) in kx
3.480 * [taylor]: Taking taylor expansion of kx in kx
3.480 * [backup-simplify]: Simplify 0 into 0
3.480 * [backup-simplify]: Simplify 1 into 1
3.481 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.481 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
3.481 * [backup-simplify]: Simplify (+ (pow (sin ky) 2) 0) into (pow (sin ky) 2)
3.482 * [backup-simplify]: Simplify (/ 1 (pow (sin ky) 2)) into (/ 1 (pow (sin ky) 2))
3.482 * [backup-simplify]: Simplify (sqrt (/ 1 (pow (sin ky) 2))) into (/ 1 (sin ky))
3.482 * [backup-simplify]: Simplify (+ 0) into 0
3.483 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
3.483 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.484 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
3.484 * [backup-simplify]: Simplify (+ 0 0) into 0
3.484 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
3.485 * [backup-simplify]: Simplify (+ 0 0) into 0
3.485 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sin ky) 2)) (/ 0 (pow (sin ky) 2))))) into 0
3.485 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow (sin ky) 2))))) into 0
3.485 * [taylor]: Taking taylor expansion of (sin ky) in kx
3.485 * [taylor]: Taking taylor expansion of ky in kx
3.485 * [backup-simplify]: Simplify ky into ky
3.485 * [backup-simplify]: Simplify (sin ky) into (sin ky)
3.486 * [backup-simplify]: Simplify (cos ky) into (cos ky)
3.486 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)) in ky
3.486 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) in ky
3.486 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2))) in ky
3.486 * [taylor]: Taking taylor expansion of (+ (pow (sin ky) 2) (pow (sin kx) 2)) in ky
3.486 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in ky
3.486 * [taylor]: Taking taylor expansion of (sin ky) in ky
3.486 * [taylor]: Taking taylor expansion of ky in ky
3.486 * [backup-simplify]: Simplify 0 into 0
3.486 * [backup-simplify]: Simplify 1 into 1
3.487 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.487 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in ky
3.487 * [taylor]: Taking taylor expansion of (sin kx) in ky
3.487 * [taylor]: Taking taylor expansion of kx in ky
3.487 * [backup-simplify]: Simplify kx into kx
3.487 * [backup-simplify]: Simplify (sin kx) into (sin kx)
3.487 * [backup-simplify]: Simplify (cos kx) into (cos kx)
3.487 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
3.487 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
3.487 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
3.487 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
3.487 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
3.488 * [backup-simplify]: Simplify (/ 1 (pow (sin kx) 2)) into (/ 1 (pow (sin kx) 2))
3.488 * [backup-simplify]: Simplify (sqrt (/ 1 (pow (sin kx) 2))) into (/ 1 (sin kx))
3.488 * [backup-simplify]: Simplify (+ 0) into 0
3.489 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
3.489 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.490 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
3.490 * [backup-simplify]: Simplify (+ 0 0) into 0
3.490 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
3.491 * [backup-simplify]: Simplify (+ 0 0) into 0
3.491 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sin kx) 2)) (/ 0 (pow (sin kx) 2))))) into 0
3.491 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow (sin kx) 2))))) into 0
3.491 * [taylor]: Taking taylor expansion of (sin ky) in ky
3.491 * [taylor]: Taking taylor expansion of ky in ky
3.491 * [backup-simplify]: Simplify 0 into 0
3.491 * [backup-simplify]: Simplify 1 into 1
3.491 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)) in ky
3.492 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) in ky
3.492 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2))) in ky
3.492 * [taylor]: Taking taylor expansion of (+ (pow (sin ky) 2) (pow (sin kx) 2)) in ky
3.492 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in ky
3.492 * [taylor]: Taking taylor expansion of (sin ky) in ky
3.492 * [taylor]: Taking taylor expansion of ky in ky
3.492 * [backup-simplify]: Simplify 0 into 0
3.492 * [backup-simplify]: Simplify 1 into 1
3.492 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.492 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in ky
3.492 * [taylor]: Taking taylor expansion of (sin kx) in ky
3.492 * [taylor]: Taking taylor expansion of kx in ky
3.492 * [backup-simplify]: Simplify kx into kx
3.493 * [backup-simplify]: Simplify (sin kx) into (sin kx)
3.493 * [backup-simplify]: Simplify (cos kx) into (cos kx)
3.493 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
3.493 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
3.493 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
3.493 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
3.493 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
3.493 * [backup-simplify]: Simplify (/ 1 (pow (sin kx) 2)) into (/ 1 (pow (sin kx) 2))
3.494 * [backup-simplify]: Simplify (sqrt (/ 1 (pow (sin kx) 2))) into (/ 1 (sin kx))
3.494 * [backup-simplify]: Simplify (+ 0) into 0
3.495 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
3.495 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.496 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
3.496 * [backup-simplify]: Simplify (+ 0 0) into 0
3.496 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
3.497 * [backup-simplify]: Simplify (+ 0 0) into 0
3.497 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sin kx) 2)) (/ 0 (pow (sin kx) 2))))) into 0
3.497 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow (sin kx) 2))))) into 0
3.497 * [taylor]: Taking taylor expansion of (sin ky) in ky
3.497 * [taylor]: Taking taylor expansion of ky in ky
3.497 * [backup-simplify]: Simplify 0 into 0
3.497 * [backup-simplify]: Simplify 1 into 1
3.498 * [backup-simplify]: Simplify (* (/ 1 (sin kx)) 0) into 0
3.498 * [taylor]: Taking taylor expansion of 0 in kx
3.498 * [backup-simplify]: Simplify 0 into 0
3.498 * [backup-simplify]: Simplify 0 into 0
3.498 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.499 * [backup-simplify]: Simplify (+ (* (/ 1 (sin kx)) 1) (* 0 0)) into (/ 1 (sin kx))
3.499 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx
3.499 * [taylor]: Taking taylor expansion of (sin kx) in kx
3.499 * [taylor]: Taking taylor expansion of kx in kx
3.499 * [backup-simplify]: Simplify 0 into 0
3.499 * [backup-simplify]: Simplify 1 into 1
3.500 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.500 * [backup-simplify]: Simplify (/ 1 1) into 1
3.501 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) 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 0 1) 1))) into 0
3.503 * [backup-simplify]: Simplify (* 1 1) into 1
3.504 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.505 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
3.505 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.506 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
3.506 * [backup-simplify]: Simplify (+ 0 0) into 0
3.507 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 (sin kx)))) into 0
3.507 * [backup-simplify]: Simplify (+ 1 0) into 1
3.508 * [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)))
3.509 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow (sin kx) 4))) (pow 0 2) (+)) (* 2 (/ 1 (sin kx)))) into (/ -1/2 (pow (sin kx) 3))
3.510 * [backup-simplify]: Simplify (+ (* (/ 1 (sin kx)) 0) (+ (* 0 1) (* (/ -1/2 (pow (sin kx) 3)) 0))) into 0
3.510 * [taylor]: Taking taylor expansion of 0 in kx
3.510 * [backup-simplify]: Simplify 0 into 0
3.510 * [backup-simplify]: Simplify 0 into 0
3.512 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
3.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/6
3.513 * [backup-simplify]: Simplify 1/6 into 1/6
3.513 * [backup-simplify]: Simplify 0 into 0
3.514 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
3.515 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.516 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.517 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
3.518 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.519 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
3.520 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
3.520 * [backup-simplify]: Simplify (+ 0 0) into 0
3.521 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin kx))))) into 0
3.521 * [backup-simplify]: Simplify (+ 0 0) into 0
3.522 * [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
3.523 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow (sin kx) 3)))))) (* 2 (/ 1 (sin kx)))) into 0
3.524 * [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)))))
3.524 * [taylor]: Taking taylor expansion of (- (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))) in kx
3.524 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))) in kx
3.524 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (sin kx))) in kx
3.524 * [taylor]: Taking taylor expansion of 1/6 in kx
3.524 * [backup-simplify]: Simplify 1/6 into 1/6
3.524 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx
3.524 * [taylor]: Taking taylor expansion of (sin kx) in kx
3.524 * [taylor]: Taking taylor expansion of kx in kx
3.524 * [backup-simplify]: Simplify 0 into 0
3.524 * [backup-simplify]: Simplify 1 into 1
3.525 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.525 * [backup-simplify]: Simplify (/ 1 1) into 1
3.525 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow (sin kx) 3))) in kx
3.525 * [taylor]: Taking taylor expansion of 1/2 in kx
3.525 * [backup-simplify]: Simplify 1/2 into 1/2
3.525 * [taylor]: Taking taylor expansion of (/ 1 (pow (sin kx) 3)) in kx
3.526 * [taylor]: Taking taylor expansion of (pow (sin kx) 3) in kx
3.526 * [taylor]: Taking taylor expansion of (sin kx) in kx
3.526 * [taylor]: Taking taylor expansion of kx in kx
3.526 * [backup-simplify]: Simplify 0 into 0
3.526 * [backup-simplify]: Simplify 1 into 1
3.526 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.527 * [backup-simplify]: Simplify (* 1 1) into 1
3.527 * [backup-simplify]: Simplify (* 1 1) into 1
3.528 * [backup-simplify]: Simplify (/ 1 1) into 1
3.529 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.530 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 1)) into 0
3.532 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
3.532 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.534 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
3.535 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0
3.536 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3
3.537 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/3) (+ (* -1/6 0) (* 0 1)))) into 0
3.539 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.541 * [backup-simplify]: Simplify (+ (* 1 -1/3) (+ (* 0 0) (* -1/6 1))) into -1/2
3.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/2 1)) (* 0 (/ 0 1)))) into 1/2
3.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/2 1)) (* 1/2 (/ 0 1)))) into 0
3.545 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1/2) (+ (* 0 0) (* 0 1)))) into 0
3.545 * [backup-simplify]: Simplify (+ 0 0) into 0
3.545 * [backup-simplify]: Simplify (- 0) into 0
3.545 * [backup-simplify]: Simplify 0 into 0
3.545 * [backup-simplify]: Simplify 0 into 0
3.546 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
3.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/6 1)) (* 1/6 (/ 0 1)))) into 0
3.547 * [backup-simplify]: Simplify 0 into 0
3.547 * [backup-simplify]: Simplify 0 into 0
3.548 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
3.549 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
3.549 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3
3.550 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0
3.551 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.552 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
3.552 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
3.553 * [backup-simplify]: Simplify (+ 0 0) into 0
3.553 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin kx)))))) into 0
3.554 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3
3.554 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sin kx) 2)) (/ -1/3 (pow (sin kx) 2))) (* 0 (/ 0 (pow (sin kx) 2))) (* (- (/ 1 (pow (sin kx) 4))) (/ 1 (pow (sin kx) 2))) (* 0 (/ 0 (pow (sin kx) 2))))) into (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (/ 1 (pow (sin kx) 6)))
3.555 * [backup-simplify]: Simplify (/ (- (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (/ 1 (pow (sin kx) 6))) (pow (/ -1/2 (pow (sin kx) 3)) 2) (+ (* 2 (* 0 0)))) (* 2 (/ 1 (sin kx)))) into (* 1/2 (* (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (sin kx)))
3.556 * [backup-simplify]: Simplify (+ (* (/ 1 (sin kx)) 0) (+ (* 0 -1/6) (+ (* (/ -1/2 (pow (sin kx) 3)) 0) (+ (* 0 1) (* (* 1/2 (* (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (sin kx))) 0))))) into 0
3.556 * [taylor]: Taking taylor expansion of 0 in kx
3.556 * [backup-simplify]: Simplify 0 into 0
3.556 * [backup-simplify]: Simplify 0 into 0
3.556 * [backup-simplify]: Simplify (* 1/6 (* kx ky)) into (* 1/6 (* kx ky))
3.556 * [backup-simplify]: Simplify (/ (sin (/ 1 ky)) (sqrt (+ (pow (sin (/ 1 kx)) 2.0) (pow (sin (/ 1 ky)) 2.0)))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))
3.557 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) in (ky kx) around 0
3.557 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) in kx
3.557 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in kx
3.557 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx
3.557 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx
3.557 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx
3.557 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
3.557 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
3.557 * [taylor]: Taking taylor expansion of kx in kx
3.557 * [backup-simplify]: Simplify 0 into 0
3.557 * [backup-simplify]: Simplify 1 into 1
3.557 * [backup-simplify]: Simplify (/ 1 1) into 1
3.557 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
3.557 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx
3.557 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
3.557 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
3.557 * [taylor]: Taking taylor expansion of ky in kx
3.557 * [backup-simplify]: Simplify ky into ky
3.557 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
3.557 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.557 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
3.557 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
3.557 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
3.557 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
3.558 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
3.558 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
3.558 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
3.558 * [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)))
3.558 * [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))))
3.558 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
3.559 * [backup-simplify]: Simplify (+ 0) into 0
3.559 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
3.559 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
3.560 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.560 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
3.560 * [backup-simplify]: Simplify (+ 0 0) into 0
3.560 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
3.560 * [backup-simplify]: Simplify (+ 0 0) into 0
3.561 * [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
3.561 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
3.561 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
3.561 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
3.561 * [taylor]: Taking taylor expansion of ky in kx
3.561 * [backup-simplify]: Simplify ky into ky
3.561 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
3.561 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.561 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
3.561 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) in ky
3.561 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in ky
3.561 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in ky
3.561 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in ky
3.561 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in ky
3.561 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
3.561 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
3.561 * [taylor]: Taking taylor expansion of kx in ky
3.562 * [backup-simplify]: Simplify kx into kx
3.562 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
3.562 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
3.562 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
3.562 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
3.562 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
3.562 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
3.562 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in ky
3.562 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
3.562 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
3.562 * [taylor]: Taking taylor expansion of ky in ky
3.562 * [backup-simplify]: Simplify 0 into 0
3.562 * [backup-simplify]: Simplify 1 into 1
3.562 * [backup-simplify]: Simplify (/ 1 1) into 1
3.562 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.562 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
3.562 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
3.563 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
3.563 * [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)))
3.563 * [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))))
3.563 * [backup-simplify]: Simplify (+ 0) into 0
3.564 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
3.564 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
3.564 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.565 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
3.565 * [backup-simplify]: Simplify (+ 0 0) into 0
3.565 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
3.565 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
3.565 * [backup-simplify]: Simplify (+ 0 0) into 0
3.566 * [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
3.566 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
3.566 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
3.566 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
3.566 * [taylor]: Taking taylor expansion of ky in ky
3.566 * [backup-simplify]: Simplify 0 into 0
3.566 * [backup-simplify]: Simplify 1 into 1
3.566 * [backup-simplify]: Simplify (/ 1 1) into 1
3.566 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.566 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) in ky
3.566 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in ky
3.566 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in ky
3.566 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in ky
3.566 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in ky
3.566 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
3.566 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
3.566 * [taylor]: Taking taylor expansion of kx in ky
3.566 * [backup-simplify]: Simplify kx into kx
3.567 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
3.567 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
3.567 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
3.567 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
3.567 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
3.567 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
3.567 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in ky
3.567 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
3.567 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
3.567 * [taylor]: Taking taylor expansion of ky in ky
3.567 * [backup-simplify]: Simplify 0 into 0
3.567 * [backup-simplify]: Simplify 1 into 1
3.567 * [backup-simplify]: Simplify (/ 1 1) into 1
3.567 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.567 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
3.567 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
3.568 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
3.568 * [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)))
3.568 * [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))))
3.569 * [backup-simplify]: Simplify (+ 0) into 0
3.569 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
3.569 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
3.569 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.570 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
3.570 * [backup-simplify]: Simplify (+ 0 0) into 0
3.570 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
3.570 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
3.570 * [backup-simplify]: Simplify (+ 0 0) into 0
3.571 * [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
3.571 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
3.571 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
3.571 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
3.571 * [taylor]: Taking taylor expansion of ky in ky
3.571 * [backup-simplify]: Simplify 0 into 0
3.571 * [backup-simplify]: Simplify 1 into 1
3.571 * [backup-simplify]: Simplify (/ 1 1) into 1
3.572 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.572 * [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)))
3.572 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) in kx
3.572 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in kx
3.572 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx
3.572 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx
3.572 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx
3.572 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
3.572 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
3.572 * [taylor]: Taking taylor expansion of kx in kx
3.572 * [backup-simplify]: Simplify 0 into 0
3.572 * [backup-simplify]: Simplify 1 into 1
3.572 * [backup-simplify]: Simplify (/ 1 1) into 1
3.572 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
3.572 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx
3.572 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
3.572 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
3.572 * [taylor]: Taking taylor expansion of ky in kx
3.573 * [backup-simplify]: Simplify ky into ky
3.573 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
3.573 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.573 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
3.573 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
3.573 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
3.573 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
3.573 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
3.573 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
3.574 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
3.574 * [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)))
3.575 * [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))))
3.575 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
3.575 * [backup-simplify]: Simplify (+ 0) into 0
3.576 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
3.576 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
3.577 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.577 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
3.578 * [backup-simplify]: Simplify (+ 0 0) into 0
3.578 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
3.578 * [backup-simplify]: Simplify (+ 0 0) into 0
3.579 * [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
3.579 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
3.580 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
3.580 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
3.580 * [taylor]: Taking taylor expansion of ky in kx
3.580 * [backup-simplify]: Simplify ky into ky
3.580 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
3.580 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.580 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
3.580 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
3.580 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
3.580 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
3.581 * [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)))
3.581 * [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)))
3.582 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) 0) (* 0 (sin (/ 1 ky)))) into 0
3.582 * [taylor]: Taking taylor expansion of 0 in kx
3.582 * [backup-simplify]: Simplify 0 into 0
3.582 * [backup-simplify]: Simplify 0 into 0
3.582 * [backup-simplify]: Simplify (+ 0) into 0
3.583 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
3.583 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
3.584 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.585 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
3.585 * [backup-simplify]: Simplify (+ 0 0) into 0
3.586 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) 0) (* 0 (sin (/ 1 ky)))) into 0
3.586 * [backup-simplify]: Simplify 0 into 0
3.587 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.587 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
3.588 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
3.588 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.589 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
3.589 * [backup-simplify]: Simplify (+ 0 0) into 0
3.590 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
3.590 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
3.591 * [backup-simplify]: Simplify (+ 0 0) into 0
3.592 * [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
3.593 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
3.594 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
3.594 * [taylor]: Taking taylor expansion of 0 in kx
3.594 * [backup-simplify]: Simplify 0 into 0
3.594 * [backup-simplify]: Simplify 0 into 0
3.594 * [backup-simplify]: Simplify 0 into 0
3.595 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.596 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
3.596 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
3.599 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.599 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
3.600 * [backup-simplify]: Simplify (+ 0 0) into 0
3.600 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
3.601 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.602 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
3.602 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
3.603 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.603 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
3.604 * [backup-simplify]: Simplify (+ 0 0) into 0
3.604 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
3.605 * [backup-simplify]: Simplify (+ 0 0) into 0
3.606 * [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
3.607 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
3.608 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
3.608 * [backup-simplify]: Simplify 0 into 0
3.609 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
3.609 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.609 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
3.610 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
3.611 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
3.611 * [backup-simplify]: Simplify (+ 0 0) into 0
3.611 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 kx)))))) into 0
3.612 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 ky)))))) into 0
3.612 * [backup-simplify]: Simplify (+ 0 0) into 0
3.613 * [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)))) (* 0 (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
3.614 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
3.615 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 ky)))))) into 0
3.615 * [taylor]: Taking taylor expansion of 0 in kx
3.615 * [backup-simplify]: Simplify 0 into 0
3.615 * [backup-simplify]: Simplify 0 into 0
3.615 * [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))
3.615 * [backup-simplify]: Simplify (/ (sin (/ 1 (- ky))) (sqrt (+ (pow (sin (/ 1 (- kx))) 2.0) (pow (sin (/ 1 (- ky))) 2.0)))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))
3.615 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) in (ky kx) around 0
3.615 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) in kx
3.615 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in kx
3.615 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx
3.615 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx
3.615 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx
3.615 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
3.615 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
3.615 * [taylor]: Taking taylor expansion of -1 in kx
3.616 * [backup-simplify]: Simplify -1 into -1
3.616 * [taylor]: Taking taylor expansion of kx in kx
3.616 * [backup-simplify]: Simplify 0 into 0
3.616 * [backup-simplify]: Simplify 1 into 1
3.616 * [backup-simplify]: Simplify (/ -1 1) into -1
3.616 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
3.616 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx
3.616 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
3.616 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
3.616 * [taylor]: Taking taylor expansion of -1 in kx
3.616 * [backup-simplify]: Simplify -1 into -1
3.616 * [taylor]: Taking taylor expansion of ky in kx
3.616 * [backup-simplify]: Simplify ky into ky
3.616 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
3.616 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.616 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
3.616 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
3.616 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
3.616 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
3.616 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
3.617 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
3.617 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
3.617 * [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)))
3.617 * [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))))
3.617 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
3.618 * [backup-simplify]: Simplify (+ 0) into 0
3.618 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
3.618 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
3.619 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.619 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
3.619 * [backup-simplify]: Simplify (+ 0 0) into 0
3.619 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
3.620 * [backup-simplify]: Simplify (+ 0 0) into 0
3.620 * [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
3.620 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
3.620 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
3.620 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
3.620 * [taylor]: Taking taylor expansion of -1 in kx
3.620 * [backup-simplify]: Simplify -1 into -1
3.620 * [taylor]: Taking taylor expansion of ky in kx
3.620 * [backup-simplify]: Simplify ky into ky
3.621 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
3.621 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.621 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
3.621 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) in ky
3.621 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in ky
3.621 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in ky
3.621 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in ky
3.621 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in ky
3.621 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
3.621 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
3.621 * [taylor]: Taking taylor expansion of -1 in ky
3.621 * [backup-simplify]: Simplify -1 into -1
3.621 * [taylor]: Taking taylor expansion of kx in ky
3.621 * [backup-simplify]: Simplify kx into kx
3.621 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
3.621 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
3.621 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
3.621 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
3.621 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
3.621 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
3.621 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in ky
3.621 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
3.621 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
3.621 * [taylor]: Taking taylor expansion of -1 in ky
3.621 * [backup-simplify]: Simplify -1 into -1
3.621 * [taylor]: Taking taylor expansion of ky in ky
3.621 * [backup-simplify]: Simplify 0 into 0
3.621 * [backup-simplify]: Simplify 1 into 1
3.622 * [backup-simplify]: Simplify (/ -1 1) into -1
3.622 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.622 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
3.622 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
3.622 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
3.622 * [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)))
3.622 * [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))))
3.623 * [backup-simplify]: Simplify (+ 0) into 0
3.623 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
3.623 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
3.624 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.624 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
3.624 * [backup-simplify]: Simplify (+ 0 0) into 0
3.624 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
3.624 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
3.625 * [backup-simplify]: Simplify (+ 0 0) into 0
3.625 * [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
3.625 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
3.625 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
3.625 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
3.625 * [taylor]: Taking taylor expansion of -1 in ky
3.625 * [backup-simplify]: Simplify -1 into -1
3.625 * [taylor]: Taking taylor expansion of ky in ky
3.625 * [backup-simplify]: Simplify 0 into 0
3.626 * [backup-simplify]: Simplify 1 into 1
3.626 * [backup-simplify]: Simplify (/ -1 1) into -1
3.626 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.626 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) in ky
3.626 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in ky
3.626 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in ky
3.626 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in ky
3.626 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in ky
3.626 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
3.626 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
3.626 * [taylor]: Taking taylor expansion of -1 in ky
3.626 * [backup-simplify]: Simplify -1 into -1
3.626 * [taylor]: Taking taylor expansion of kx in ky
3.626 * [backup-simplify]: Simplify kx into kx
3.626 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
3.626 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
3.626 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
3.626 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
3.626 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
3.626 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
3.626 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in ky
3.626 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
3.626 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
3.626 * [taylor]: Taking taylor expansion of -1 in ky
3.626 * [backup-simplify]: Simplify -1 into -1
3.626 * [taylor]: Taking taylor expansion of ky in ky
3.627 * [backup-simplify]: Simplify 0 into 0
3.627 * [backup-simplify]: Simplify 1 into 1
3.627 * [backup-simplify]: Simplify (/ -1 1) into -1
3.627 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.627 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
3.627 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
3.627 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
3.627 * [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)))
3.628 * [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))))
3.628 * [backup-simplify]: Simplify (+ 0) into 0
3.628 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
3.628 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
3.629 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.629 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
3.629 * [backup-simplify]: Simplify (+ 0 0) into 0
3.630 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
3.630 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
3.630 * [backup-simplify]: Simplify (+ 0 0) into 0
3.630 * [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
3.631 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
3.631 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
3.631 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
3.631 * [taylor]: Taking taylor expansion of -1 in ky
3.631 * [backup-simplify]: Simplify -1 into -1
3.631 * [taylor]: Taking taylor expansion of ky in ky
3.631 * [backup-simplify]: Simplify 0 into 0
3.631 * [backup-simplify]: Simplify 1 into 1
3.631 * [backup-simplify]: Simplify (/ -1 1) into -1
3.631 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.631 * [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)))
3.631 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) in kx
3.631 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in kx
3.631 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx
3.631 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx
3.631 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx
3.631 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
3.632 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
3.632 * [taylor]: Taking taylor expansion of -1 in kx
3.632 * [backup-simplify]: Simplify -1 into -1
3.632 * [taylor]: Taking taylor expansion of kx in kx
3.632 * [backup-simplify]: Simplify 0 into 0
3.632 * [backup-simplify]: Simplify 1 into 1
3.632 * [backup-simplify]: Simplify (/ -1 1) into -1
3.632 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
3.632 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx
3.632 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
3.632 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
3.632 * [taylor]: Taking taylor expansion of -1 in kx
3.632 * [backup-simplify]: Simplify -1 into -1
3.632 * [taylor]: Taking taylor expansion of ky in kx
3.632 * [backup-simplify]: Simplify ky into ky
3.632 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
3.632 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.632 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
3.632 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
3.632 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
3.632 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
3.632 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
3.633 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
3.633 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
3.633 * [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)))
3.633 * [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))))
3.633 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
3.634 * [backup-simplify]: Simplify (+ 0) into 0
3.634 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
3.634 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
3.635 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.635 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
3.635 * [backup-simplify]: Simplify (+ 0 0) into 0
3.635 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
3.635 * [backup-simplify]: Simplify (+ 0 0) into 0
3.636 * [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
3.636 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
3.636 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
3.636 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
3.636 * [taylor]: Taking taylor expansion of -1 in kx
3.636 * [backup-simplify]: Simplify -1 into -1
3.636 * [taylor]: Taking taylor expansion of ky in kx
3.636 * [backup-simplify]: Simplify ky into ky
3.636 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
3.636 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.636 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
3.637 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
3.637 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
3.637 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
3.637 * [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)))
3.638 * [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)))
3.639 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) 0) (* 0 (sin (/ -1 ky)))) into 0
3.639 * [taylor]: Taking taylor expansion of 0 in kx
3.639 * [backup-simplify]: Simplify 0 into 0
3.639 * [backup-simplify]: Simplify 0 into 0
3.639 * [backup-simplify]: Simplify (+ 0) into 0
3.640 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
3.640 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
3.640 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.641 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
3.641 * [backup-simplify]: Simplify (+ 0 0) into 0
3.642 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) 0) (* 0 (sin (/ -1 ky)))) into 0
3.642 * [backup-simplify]: Simplify 0 into 0
3.643 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.644 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
3.644 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
3.645 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.645 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
3.646 * [backup-simplify]: Simplify (+ 0 0) into 0
3.646 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
3.647 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
3.647 * [backup-simplify]: Simplify (+ 0 0) into 0
3.648 * [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
3.650 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
3.651 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
3.651 * [taylor]: Taking taylor expansion of 0 in kx
3.651 * [backup-simplify]: Simplify 0 into 0
3.651 * [backup-simplify]: Simplify 0 into 0
3.651 * [backup-simplify]: Simplify 0 into 0
3.652 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.652 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
3.653 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
3.653 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.654 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
3.654 * [backup-simplify]: Simplify (+ 0 0) into 0
3.655 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
3.656 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.656 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
3.657 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
3.658 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.658 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
3.658 * [backup-simplify]: Simplify (+ 0 0) into 0
3.659 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
3.659 * [backup-simplify]: Simplify (+ 0 0) into 0
3.661 * [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
3.662 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
3.663 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
3.663 * [backup-simplify]: Simplify 0 into 0
3.664 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
3.665 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.665 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
3.667 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
3.667 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
3.668 * [backup-simplify]: Simplify (+ 0 0) into 0
3.669 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 kx)))))) into 0
3.670 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 ky)))))) into 0
3.670 * [backup-simplify]: Simplify (+ 0 0) into 0
3.672 * [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)))) (* 0 (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
3.674 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
3.675 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 ky)))))) into 0
3.675 * [taylor]: Taking taylor expansion of 0 in kx
3.675 * [backup-simplify]: Simplify 0 into 0
3.675 * [backup-simplify]: Simplify 0 into 0
3.676 * [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))
3.676 * * * [progress]: simplifying candidates
3.680 * [simplify]: Simplifying:
  (expm1 (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
  (log1p (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
  (log (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
  (exp (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
  (* (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
  (* (* (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
  (sqrt (* (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))) (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  (sqrt (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
  (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
  (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
  (sqrt 1)
  (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
  (sqrt (pow 1 2.0))
  (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
  (sqrt 1)
  (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
  (sqrt (+ (pow (pow (sin kx) 2.0) 3) (pow (pow (sin ky) 2.0) 3)))
  (sqrt (+ (* (pow (sin kx) 2.0) (pow (sin kx) 2.0)) (- (* (pow (sin ky) 2.0) (pow (sin ky) 2.0)) (* (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  (sqrt (- (* (pow (sin kx) 2.0) (pow (sin kx) 2.0)) (* (pow (sin ky) 2.0) (pow (sin ky) 2.0))))
  (sqrt (- (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
  (/ 1 2)
  (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
  (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
  (expm1 (pow (sin ky) 2.0))
  (log1p (pow (sin ky) 2.0))
  (* (log (sin ky)) 2.0)
  (* (log (sin ky)) 2.0)
  (* 1 2.0)
  (pow (sin ky) (* (cbrt 2.0) (cbrt 2.0)))
  (pow (sin ky) (sqrt 2.0))
  (pow (sin ky) 1)
  (pow (* (cbrt (sin ky)) (cbrt (sin ky))) 2.0)
  (pow (cbrt (sin ky)) 2.0)
  (pow (sqrt (sin ky)) 2.0)
  (pow (sqrt (sin ky)) 2.0)
  (pow 1 2.0)
  (pow (sin ky) 2.0)
  (log (pow (sin ky) 2.0))
  (exp (pow (sin ky) 2.0))
  (* (cbrt (pow (sin ky) 2.0)) (cbrt (pow (sin ky) 2.0)))
  (cbrt (pow (sin ky) 2.0))
  (* (* (pow (sin ky) 2.0) (pow (sin ky) 2.0)) (pow (sin ky) 2.0))
  (sqrt (pow (sin ky) 2.0))
  (sqrt (pow (sin ky) 2.0))
  (pow (sin ky) (/ 2.0 2))
  (pow (sin ky) (/ 2.0 2))
  (expm1 (pow (sin kx) 2.0))
  (log1p (pow (sin kx) 2.0))
  (* (log (sin kx)) 2.0)
  (* (log (sin kx)) 2.0)
  (* 1 2.0)
  (pow (sin kx) (* (cbrt 2.0) (cbrt 2.0)))
  (pow (sin kx) (sqrt 2.0))
  (pow (sin kx) 1)
  (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0)
  (pow (cbrt (sin kx)) 2.0)
  (pow (sqrt (sin kx)) 2.0)
  (pow (sqrt (sin kx)) 2.0)
  (pow 1 2.0)
  (pow (sin kx) 2.0)
  (log (pow (sin kx) 2.0))
  (exp (pow (sin kx) 2.0))
  (* (cbrt (pow (sin kx) 2.0)) (cbrt (pow (sin kx) 2.0)))
  (cbrt (pow (sin kx) 2.0))
  (* (* (pow (sin kx) 2.0) (pow (sin kx) 2.0)) (pow (sin kx) 2.0))
  (sqrt (pow (sin kx) 2.0))
  (sqrt (pow (sin kx) 2.0))
  (pow (sin kx) (/ 2.0 2))
  (pow (sin kx) (/ 2.0 2))
  (expm1 (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  (log1p (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  (- (log (sin ky)) (log (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  (log (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  (exp (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  (/ (* (* (sin ky) (sin ky)) (sin ky)) (* (* (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  (* (cbrt (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (cbrt (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))))
  (cbrt (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  (* (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  (sqrt (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  (sqrt (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  (- (sin ky))
  (- (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
  (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (* (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))))
  (/ (cbrt (sin ky)) (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (* (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))) (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))))
  (/ (cbrt (sin ky)) (sqrt (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  (/ (cbrt (sin ky)) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt 1))
  (/ (cbrt (sin ky)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
  (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (pow 1 2.0)))
  (/ (cbrt (sin ky)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
  (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt 1))
  (/ (cbrt (sin ky)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
  (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  (/ (cbrt (sin ky)) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  (/ (* (cbrt (sin ky)) (cbrt (sin ky))) 1)
  (/ (cbrt (sin ky)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
  (/ (sqrt (sin ky)) (* (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))))
  (/ (sqrt (sin ky)) (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  (/ (sqrt (sin ky)) (sqrt (* (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))) (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))))
  (/ (sqrt (sin ky)) (sqrt (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  (/ (sqrt (sin ky)) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  (/ (sqrt (sin ky)) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  (/ (sqrt (sin ky)) (sqrt 1))
  (/ (sqrt (sin ky)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
  (/ (sqrt (sin ky)) (sqrt (pow 1 2.0)))
  (/ (sqrt (sin ky)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
  (/ (sqrt (sin ky)) (sqrt 1))
  (/ (sqrt (sin ky)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
  (/ (sqrt (sin ky)) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  (/ (sqrt (sin ky)) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  (/ (sqrt (sin ky)) 1)
  (/ (sqrt (sin ky)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
  (/ 1 (* (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))))
  (/ (sin ky) (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  (/ 1 (sqrt (* (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))) (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))))
  (/ (sin ky) (sqrt (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  (/ 1 (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  (/ (sin ky) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  (/ 1 (sqrt 1))
  (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
  (/ 1 (sqrt (pow 1 2.0)))
  (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
  (/ 1 (sqrt 1))
  (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
  (/ 1 (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  (/ (sin ky) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  (/ 1 1)
  (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
  (/ 1 (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
  (/ (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))) (sin ky))
  (/ (sin ky) (* (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))))
  (/ (sin ky) (sqrt (* (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))) (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))))
  (/ (sin ky) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  (/ (sin ky) (sqrt 1))
  (/ (sin ky) (sqrt (pow 1 2.0)))
  (/ (sin ky) (sqrt 1))
  (/ (sin ky) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  (/ (sin ky) 1)
  (/ (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))) (cbrt (sin ky)))
  (/ (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))) (sqrt (sin ky)))
  (/ (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))) (sin ky))
  (/ (sin ky) (sqrt (+ (pow (pow (sin kx) 2.0) 3) (pow (pow (sin ky) 2.0) 3))))
  (/ (sin ky) (sqrt (- (* (pow (sin kx) 2.0) (pow (sin kx) 2.0)) (* (pow (sin ky) 2.0) (pow (sin ky) 2.0)))))
  (- (+ (* 1/12 (* (pow kx 2) ky)) ky) (* 1/6 (pow ky 3)))
  (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))
  (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))
  (- (+ (* 0.04444444444444444 (pow ky 6)) (pow ky 2)) (* 0.3333333333333333 (pow ky 4)))
  (pow (sin ky) 2.0)
  (pow (sin ky) 2.0)
  (- (+ (pow kx 2) (* 0.04444444444444444 (pow kx 6))) (* 0.3333333333333333 (pow kx 4)))
  (pow (sin kx) 2.0)
  (pow (sin kx) 2.0)
  (* 1/6 (* kx ky))
  (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))
  (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))
3.683 * * [simplify]: Extracting # 0 : cost  112  inf +  0
3.684 * * [simplify]: Extracting # 1 : cost  150  inf +  0
3.684 * * [simplify]: Extracting # 2 : cost  162  inf +  300
3.685 * * [simplify]: Extracting # 3 : cost  136  inf +  8181
3.689 * * [simplify]: Extracting # 4 : cost  55  inf +  44068
3.695 * * [simplify]: Extracting # 5 : cost  13  inf +  69517
3.699 * * [simplify]: Extracting # 6 : cost  2  inf +  75669
3.703 * * [simplify]: Extracting # 7 : cost  0  inf +  76969
3.706 * * [simplify]: iteration  0 :  178  enodes  (cost  82132 )
3.776 * * [simplify]: Extracting # 0 : cost  0  inf +  76969
3.785 * * [simplify]: Extracting # 1 : cost  71  inf +  67297
3.795 * * [simplify]: Extracting # 2 : cost  51  inf +  81831
3.806 * * [simplify]: Extracting # 3 : cost  14  inf +  88156
3.817 * * [simplify]: Extracting # 4 : cost  0  inf +  93558
3.829 * * [simplify]: iteration  1 :  395  enodes  (cost  75130 )
4.098 * * [simplify]: Extracting # 0 : cost  0  inf +  93558
4.106 * * [simplify]: Extracting # 1 : cost  456  inf +  89784
4.133 * * [simplify]: Extracting # 2 : cost  70  inf +  259916
4.180 * * [simplify]: Extracting # 3 : cost  20  inf +  272090
4.227 * * [simplify]: Extracting # 4 : cost  0  inf +  280129
4.255 * * [simplify]: iteration  2 :  1650  enodes  (cost  74544 )
4.717 * * [simplify]: Extracting # 0 : cost  0  inf +  280129
4.769 * * [simplify]: Extracting # 1 : cost  1581  inf +  190477
4.846 * * [simplify]: Extracting # 2 : cost  303  inf +  684690
4.940 * * [simplify]: Extracting # 3 : cost  80  inf +  723783
5.047 * * [simplify]: Extracting # 4 : cost  1  inf +  751986
5.144 * * [simplify]: Extracting # 5 : cost  0  inf +  752319
5.247 * * [simplify]: iteration done:  5001  enodes  (cost  74545 )
5.248 * [simplify]: Simplified to:
  (expm1 (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
  (log1p (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
  (log (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
  (exp (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
  (* (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
  (* (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
  (fabs (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
  (sqrt (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
  (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
  (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
  1
  (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
  1
  (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
  1
  (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
  (sqrt (fma (pow (sin ky) 2.0) (* (pow (sin ky) 2.0) (pow (sin ky) 2.0)) (* (* (pow (sin kx) 2.0) (pow (sin kx) 2.0)) (pow (sin kx) 2.0))))
  (sqrt (fma (pow (sin kx) 2.0) (pow (sin kx) 2.0) (* (pow (sin ky) 2.0) (- (pow (sin ky) 2.0) (pow (sin kx) 2.0)))))
  (sqrt (- (* (pow (sin kx) 2.0) (pow (sin kx) 2.0)) (* (pow (sin ky) 2.0) (pow (sin ky) 2.0))))
  (sqrt (- (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
  1/2
  (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
  (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
  (expm1 (pow (sin ky) 2.0))
  (log1p (pow (sin ky) 2.0))
  (* (log (sin ky)) 2.0)
  (* (log (sin ky)) 2.0)
  2.0
  (pow (sin ky) (* (cbrt 2.0) (cbrt 2.0)))
  (pow (sin ky) (sqrt 2.0))
  (sin ky)
  (pow (* (cbrt (sin ky)) (cbrt (sin ky))) 2.0)
  (pow (cbrt (sin ky)) 2.0)
  (pow (sqrt (sin ky)) 2.0)
  (pow (sqrt (sin ky)) 2.0)
  1
  (pow (sin ky) 2.0)
  (* (log (sin ky)) 2.0)
  (exp (pow (sin ky) 2.0))
  (* (cbrt (pow (sin ky) 2.0)) (cbrt (pow (sin ky) 2.0)))
  (cbrt (pow (sin ky) 2.0))
  (* (* (pow (sin ky) 2.0) (pow (sin ky) 2.0)) (pow (sin ky) 2.0))
  (sqrt (pow (sin ky) 2.0))
  (sqrt (pow (sin ky) 2.0))
  (pow (sin ky) (/ 2.0 2))
  (pow (sin ky) (/ 2.0 2))
  (expm1 (pow (sin kx) 2.0))
  (log1p (pow (sin kx) 2.0))
  (* (log (sin kx)) 2.0)
  (* (log (sin kx)) 2.0)
  2.0
  (pow (sin kx) (* (cbrt 2.0) (cbrt 2.0)))
  (pow (sin kx) (sqrt 2.0))
  (sin kx)
  (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0)
  (pow (cbrt (sin kx)) 2.0)
  (pow (sqrt (sin kx)) 2.0)
  (pow (sqrt (sin kx)) 2.0)
  1
  (pow (sin kx) 2.0)
  (* (log (sin kx)) 2.0)
  (exp (pow (sin kx) 2.0))
  (* (cbrt (pow (sin kx) 2.0)) (cbrt (pow (sin kx) 2.0)))
  (cbrt (pow (sin kx) 2.0))
  (* (* (pow (sin kx) 2.0) (pow (sin kx) 2.0)) (pow (sin kx) 2.0))
  (sqrt (pow (sin kx) 2.0))
  (sqrt (pow (sin kx) 2.0))
  (pow (sin kx) (/ 2.0 2))
  (pow (sin kx) (/ 2.0 2))
  (expm1 (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  (log1p (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  (log (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  (log (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  (exp (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  (/ (* (* (sin ky) (sin ky)) (sin ky)) (* (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  (* (cbrt (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (cbrt (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))))
  (cbrt (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  (/ (* (* (sin ky) (sin ky)) (sin ky)) (* (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  (sqrt (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  (sqrt (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  (- (sin ky))
  (- (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
  (* (/ (cbrt (sin ky)) (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (/ (cbrt (sin ky)) (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))))
  (/ (cbrt (sin ky)) (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (fabs (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  (/ (cbrt (sin ky)) (sqrt (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  (/ (cbrt (sin ky)) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  (* (cbrt (sin ky)) (cbrt (sin ky)))
  (/ (cbrt (sin ky)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
  (* (cbrt (sin ky)) (cbrt (sin ky)))
  (/ (cbrt (sin ky)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
  (* (cbrt (sin ky)) (cbrt (sin ky)))
  (/ (cbrt (sin ky)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
  (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  (/ (cbrt (sin ky)) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  (* (cbrt (sin ky)) (cbrt (sin ky)))
  (/ (cbrt (sin ky)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
  (/ (sqrt (sin ky)) (* (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))))
  (/ (sqrt (sin ky)) (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  (/ (sqrt (sin ky)) (fabs (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  (/ (sqrt (sin ky)) (sqrt (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  (/ (sqrt (sin ky)) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  (/ (sqrt (sin ky)) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  (sqrt (sin ky))
  (/ (sqrt (sin ky)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
  (sqrt (sin ky))
  (/ (sqrt (sin ky)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
  (sqrt (sin ky))
  (/ (sqrt (sin ky)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
  (/ (sqrt (sin ky)) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  (/ (sqrt (sin ky)) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  (sqrt (sin ky))
  (/ (sqrt (sin ky)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
  (/ 1 (* (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))))
  (/ (sin ky) (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  (/ 1 (fabs (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  (/ (sin ky) (sqrt (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  (/ 1 (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  (/ (sin ky) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  1
  (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
  1
  (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
  1
  (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
  (/ 1 (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  (/ (sin ky) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  1
  (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
  (/ 1 (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
  (/ (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))) (sin ky))
  (/ (sin ky) (* (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))))
  (/ (sin ky) (fabs (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  (/ (sin ky) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  (sin ky)
  (sin ky)
  (sin ky)
  (/ (sin ky) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  (sin ky)
  (/ (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))) (cbrt (sin ky)))
  (/ (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))) (sqrt (sin ky)))
  (/ (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))) (sin ky))
  (/ (sin ky) (sqrt (fma (pow (sin ky) 2.0) (* (pow (sin ky) 2.0) (pow (sin ky) 2.0)) (* (* (pow (sin kx) 2.0) (pow (sin kx) 2.0)) (pow (sin kx) 2.0)))))
  (/ (sin ky) (sqrt (- (* (pow (sin kx) 2.0) (pow (sin kx) 2.0)) (* (pow (sin ky) 2.0) (pow (sin ky) 2.0)))))
  (* ky (- (fma (* 1/12 kx) kx 1) (* 1/6 (* ky ky))))
  (hypot (sin kx) (sin ky))
  (hypot (sin kx) (sin ky))
  (- (fma 0.04444444444444444 (* (* (* ky ky) ky) (* (* ky ky) ky)) (* ky ky)) (* (* (* ky ky) (* ky ky)) 0.3333333333333333))
  (pow (sin ky) 2.0)
  (pow (sin ky) 2.0)
  (- (fma (* (* (* kx kx) kx) (* (* kx kx) kx)) 0.04444444444444444 (* kx kx)) (* 0.3333333333333333 (* (* kx kx) (* kx kx))))
  (pow (sin kx) 2.0)
  (pow (sin kx) 2.0)
  (* 1/6 (* kx 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))))))
5.258 * * * [progress]: adding candidates to table
6.121 * * [progress]: iteration 2 / 4
6.121 * * * [progress]: picking best candidate
6.261 * * * * [pick]: Picked  #<alt (λ (kx ky th) (* (/ (sin ky) (hypot (sin kx) (sin ky))) (sin th)))>
6.261 * * * [progress]: localizing error
6.282 * * * [progress]: generating rewritten candidates
6.282 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1)
6.292 * * * * [progress]: [ 2 / 3 ] rewriting at (2)
6.316 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 2)
6.318 * * * [progress]: generating series expansions
6.318 * * * * [progress]: [ 1 / 3 ] generating series at (2 1)
6.318 * [backup-simplify]: Simplify (/ (sin ky) (hypot (sin kx) (sin ky))) into (/ (sin ky) (hypot (sin kx) (sin ky)))
6.318 * [approximate]: Taking taylor expansion of (/ (sin ky) (hypot (sin kx) (sin ky))) in (ky kx) around 0
6.318 * [taylor]: Taking taylor expansion of (/ (sin ky) (hypot (sin kx) (sin ky))) in kx
6.318 * [taylor]: Taking taylor expansion of (sin ky) in kx
6.318 * [taylor]: Taking taylor expansion of ky in kx
6.318 * [backup-simplify]: Simplify ky into ky
6.318 * [backup-simplify]: Simplify (sin ky) into (sin ky)
6.318 * [backup-simplify]: Simplify (cos ky) into (cos ky)
6.318 * [taylor]: Taking taylor expansion of (hypot (sin kx) (sin ky)) in kx
6.320 * [taylor]: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
6.320 * [taylor]: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in kx
6.320 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in kx
6.320 * [taylor]: Taking taylor expansion of (sin kx) in kx
6.320 * [taylor]: Taking taylor expansion of kx in kx
6.320 * [backup-simplify]: Simplify 0 into 0
6.320 * [backup-simplify]: Simplify 1 into 1
6.320 * [taylor]: Taking taylor expansion of (sin kx) in kx
6.320 * [taylor]: Taking taylor expansion of kx in kx
6.320 * [backup-simplify]: Simplify 0 into 0
6.320 * [backup-simplify]: Simplify 1 into 1
6.320 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in kx
6.320 * [taylor]: Taking taylor expansion of (sin ky) in kx
6.320 * [taylor]: Taking taylor expansion of ky in kx
6.320 * [backup-simplify]: Simplify ky into ky
6.320 * [backup-simplify]: Simplify (sin ky) into (sin ky)
6.320 * [backup-simplify]: Simplify (cos ky) into (cos ky)
6.320 * [taylor]: Taking taylor expansion of (sin ky) in kx
6.320 * [taylor]: Taking taylor expansion of ky in kx
6.320 * [backup-simplify]: Simplify ky into ky
6.320 * [backup-simplify]: Simplify (sin ky) into (sin ky)
6.320 * [backup-simplify]: Simplify (cos ky) into (cos ky)
6.321 * [backup-simplify]: Simplify (* 0 0) into 0
6.321 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
6.321 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
6.321 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
6.321 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
6.321 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
6.321 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
6.321 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
6.321 * [backup-simplify]: Simplify (+ 0 (pow (sin ky) 2)) into (pow (sin ky) 2)
6.321 * [backup-simplify]: Simplify (sqrt (pow (sin ky) 2)) into (sin ky)
6.322 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
6.322 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
6.322 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.323 * [backup-simplify]: Simplify (+ 0) into 0
6.323 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
6.323 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.324 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
6.324 * [backup-simplify]: Simplify (+ 0 0) into 0
6.324 * [backup-simplify]: Simplify (+ 0) into 0
6.325 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
6.325 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.325 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
6.326 * [backup-simplify]: Simplify (+ 0 0) into 0
6.326 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
6.326 * [backup-simplify]: Simplify (+ 0 0) into 0
6.326 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin ky) 2)))) into 0
6.326 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
6.326 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
6.326 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
6.326 * [backup-simplify]: Simplify (/ (sin ky) (sin ky)) into 1
6.326 * [taylor]: Taking taylor expansion of (/ (sin ky) (hypot (sin kx) (sin ky))) in ky
6.326 * [taylor]: Taking taylor expansion of (sin ky) in ky
6.326 * [taylor]: Taking taylor expansion of ky in ky
6.326 * [backup-simplify]: Simplify 0 into 0
6.326 * [backup-simplify]: Simplify 1 into 1
6.327 * [taylor]: Taking taylor expansion of (hypot (sin kx) (sin ky)) in ky
6.327 * [taylor]: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
6.327 * [taylor]: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in ky
6.327 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
6.327 * [taylor]: Taking taylor expansion of (sin kx) in ky
6.327 * [taylor]: Taking taylor expansion of kx in ky
6.327 * [backup-simplify]: Simplify kx into kx
6.327 * [backup-simplify]: Simplify (sin kx) into (sin kx)
6.327 * [backup-simplify]: Simplify (cos kx) into (cos kx)
6.327 * [taylor]: Taking taylor expansion of (sin kx) in ky
6.327 * [taylor]: Taking taylor expansion of kx in ky
6.327 * [backup-simplify]: Simplify kx into kx
6.327 * [backup-simplify]: Simplify (sin kx) into (sin kx)
6.327 * [backup-simplify]: Simplify (cos kx) into (cos kx)
6.327 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
6.327 * [taylor]: Taking taylor expansion of (sin ky) in ky
6.327 * [taylor]: Taking taylor expansion of ky in ky
6.327 * [backup-simplify]: Simplify 0 into 0
6.327 * [backup-simplify]: Simplify 1 into 1
6.327 * [taylor]: Taking taylor expansion of (sin ky) in ky
6.327 * [taylor]: Taking taylor expansion of ky in ky
6.327 * [backup-simplify]: Simplify 0 into 0
6.327 * [backup-simplify]: Simplify 1 into 1
6.327 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
6.327 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
6.327 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
6.327 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
6.327 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
6.327 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
6.327 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
6.328 * [backup-simplify]: Simplify (* 0 0) into 0
6.328 * [backup-simplify]: Simplify (+ (pow (sin kx) 2) 0) into (pow (sin kx) 2)
6.328 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
6.328 * [backup-simplify]: Simplify (+ 0) into 0
6.329 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
6.329 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.330 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
6.330 * [backup-simplify]: Simplify (+ 0 0) into 0
6.330 * [backup-simplify]: Simplify (+ 0) into 0
6.331 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
6.332 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.332 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
6.333 * [backup-simplify]: Simplify (+ 0 0) into 0
6.333 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
6.333 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
6.334 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
6.335 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.335 * [backup-simplify]: Simplify (+ 0 0) into 0
6.335 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
6.336 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
6.336 * [backup-simplify]: Simplify (/ 1 (sin kx)) into (/ 1 (sin kx))
6.336 * [taylor]: Taking taylor expansion of (/ (sin ky) (hypot (sin kx) (sin ky))) in ky
6.336 * [taylor]: Taking taylor expansion of (sin ky) in ky
6.336 * [taylor]: Taking taylor expansion of ky in ky
6.336 * [backup-simplify]: Simplify 0 into 0
6.336 * [backup-simplify]: Simplify 1 into 1
6.336 * [taylor]: Taking taylor expansion of (hypot (sin kx) (sin ky)) in ky
6.336 * [taylor]: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
6.336 * [taylor]: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in ky
6.336 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
6.336 * [taylor]: Taking taylor expansion of (sin kx) in ky
6.336 * [taylor]: Taking taylor expansion of kx in ky
6.336 * [backup-simplify]: Simplify kx into kx
6.336 * [backup-simplify]: Simplify (sin kx) into (sin kx)
6.336 * [backup-simplify]: Simplify (cos kx) into (cos kx)
6.336 * [taylor]: Taking taylor expansion of (sin kx) in ky
6.336 * [taylor]: Taking taylor expansion of kx in ky
6.337 * [backup-simplify]: Simplify kx into kx
6.337 * [backup-simplify]: Simplify (sin kx) into (sin kx)
6.337 * [backup-simplify]: Simplify (cos kx) into (cos kx)
6.337 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
6.337 * [taylor]: Taking taylor expansion of (sin ky) in ky
6.337 * [taylor]: Taking taylor expansion of ky in ky
6.337 * [backup-simplify]: Simplify 0 into 0
6.337 * [backup-simplify]: Simplify 1 into 1
6.337 * [taylor]: Taking taylor expansion of (sin ky) in ky
6.337 * [taylor]: Taking taylor expansion of ky in ky
6.337 * [backup-simplify]: Simplify 0 into 0
6.337 * [backup-simplify]: Simplify 1 into 1
6.337 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
6.337 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
6.337 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
6.337 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
6.337 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
6.337 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
6.337 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
6.338 * [backup-simplify]: Simplify (* 0 0) into 0
6.338 * [backup-simplify]: Simplify (+ (pow (sin kx) 2) 0) into (pow (sin kx) 2)
6.338 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
6.339 * [backup-simplify]: Simplify (+ 0) into 0
6.339 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
6.340 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.340 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
6.341 * [backup-simplify]: Simplify (+ 0 0) into 0
6.341 * [backup-simplify]: Simplify (+ 0) into 0
6.342 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
6.342 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.343 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
6.343 * [backup-simplify]: Simplify (+ 0 0) into 0
6.343 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
6.344 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
6.345 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
6.345 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.345 * [backup-simplify]: Simplify (+ 0 0) into 0
6.345 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
6.346 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
6.346 * [backup-simplify]: Simplify (/ 1 (sin kx)) into (/ 1 (sin kx))
6.346 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx
6.346 * [taylor]: Taking taylor expansion of (sin kx) in kx
6.346 * [taylor]: Taking taylor expansion of kx in kx
6.346 * [backup-simplify]: Simplify 0 into 0
6.346 * [backup-simplify]: Simplify 1 into 1
6.346 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
6.347 * [backup-simplify]: Simplify (/ 1 1) into 1
6.347 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.348 * [backup-simplify]: Simplify 0 into 0
6.348 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.348 * [backup-simplify]: Simplify (- (/ 0 (sin kx)) (+ (* (/ 1 (sin kx)) (/ 0 (sin kx))))) into 0
6.348 * [taylor]: Taking taylor expansion of 0 in kx
6.348 * [backup-simplify]: Simplify 0 into 0
6.348 * [backup-simplify]: Simplify 0 into 0
6.349 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
6.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/6
6.350 * [backup-simplify]: Simplify 1/6 into 1/6
6.351 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
6.351 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.352 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
6.352 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.353 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
6.353 * [backup-simplify]: Simplify (+ 0 0) into 0
6.354 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.354 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
6.354 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.355 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
6.355 * [backup-simplify]: Simplify (+ 0 0) into 0
6.355 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 (sin kx)))) into 0
6.356 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.356 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.357 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
6.357 * [backup-simplify]: Simplify (+ 0 1) into 1
6.357 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sin kx))) into (/ 1/2 (sin kx))
6.358 * [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)))))
6.358 * [taylor]: Taking taylor expansion of (- (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))) in kx
6.358 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))) in kx
6.358 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (sin kx))) in kx
6.358 * [taylor]: Taking taylor expansion of 1/6 in kx
6.358 * [backup-simplify]: Simplify 1/6 into 1/6
6.358 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx
6.358 * [taylor]: Taking taylor expansion of (sin kx) in kx
6.358 * [taylor]: Taking taylor expansion of kx in kx
6.358 * [backup-simplify]: Simplify 0 into 0
6.358 * [backup-simplify]: Simplify 1 into 1
6.358 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
6.359 * [backup-simplify]: Simplify (/ 1 1) into 1
6.359 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow (sin kx) 3))) in kx
6.359 * [taylor]: Taking taylor expansion of 1/2 in kx
6.359 * [backup-simplify]: Simplify 1/2 into 1/2
6.359 * [taylor]: Taking taylor expansion of (/ 1 (pow (sin kx) 3)) in kx
6.359 * [taylor]: Taking taylor expansion of (pow (sin kx) 3) in kx
6.359 * [taylor]: Taking taylor expansion of (sin kx) in kx
6.359 * [taylor]: Taking taylor expansion of kx in kx
6.359 * [backup-simplify]: Simplify 0 into 0
6.359 * [backup-simplify]: Simplify 1 into 1
6.359 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
6.359 * [backup-simplify]: Simplify (* 1 1) into 1
6.360 * [backup-simplify]: Simplify (* 1 1) into 1
6.360 * [backup-simplify]: Simplify (/ 1 1) into 1
6.360 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.361 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 1)) into 0
6.362 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
6.362 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.363 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
6.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0
6.365 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3
6.365 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/3) (+ (* -1/6 0) (* 0 1)))) into 0
6.366 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.367 * [backup-simplify]: Simplify (+ (* 1 -1/3) (+ (* 0 0) (* -1/6 1))) into -1/2
6.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/2 1)) (* 0 (/ 0 1)))) into 1/2
6.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/2 1)) (* 1/2 (/ 0 1)))) into 0
6.370 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1/2) (+ (* 0 0) (* 0 1)))) into 0
6.370 * [backup-simplify]: Simplify (+ 0 0) into 0
6.370 * [backup-simplify]: Simplify (- 0) into 0
6.370 * [backup-simplify]: Simplify 0 into 0
6.370 * [backup-simplify]: Simplify 0 into 0
6.371 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
6.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/6 1)) (* 1/6 (/ 0 1)))) into 0
6.372 * [backup-simplify]: Simplify 0 into 0
6.373 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
6.374 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
6.375 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.377 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
6.377 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
6.378 * [backup-simplify]: Simplify (+ 0 0) into 0
6.379 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
6.379 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.381 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
6.382 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
6.382 * [backup-simplify]: Simplify (+ 0 0) into 0
6.383 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin kx))))) into 0
6.384 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
6.390 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
6.391 * [backup-simplify]: Simplify (+ (* 0 -1/6) (+ (* 1 0) (+ (* 0 1) (* -1/6 0)))) into 0
6.392 * [backup-simplify]: Simplify (+ 0 0) into 0
6.392 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sin kx)))))) (* 2 (sin kx))) into 0
6.393 * [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
6.393 * [taylor]: Taking taylor expansion of 0 in kx
6.393 * [backup-simplify]: Simplify 0 into 0
6.393 * [backup-simplify]: Simplify 0 into 0
6.395 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
6.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/6
6.397 * [backup-simplify]: Simplify (+ (* 1/6 1/6) (+ (* 0 0) (* 0 1))) into 1/36
6.400 * [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
6.402 * [backup-simplify]: Simplify (+ (* 1 1/120) (+ (* 0 0) (+ (* -1/6 -1/6) (+ (* 0 0) (* 1/120 1))))) into 2/45
6.404 * [backup-simplify]: Simplify (+ (* 1 2/45) (+ (* 0 0) (+ (* -1/6 -1/3) (+ (* 0 0) (* 1/120 1))))) into 13/120
6.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 13/120 1)) (* 0 (/ 0 1)) (* 1/2 (/ -1/2 1)) (* 0 (/ 0 1)))) into 17/120
6.407 * [backup-simplify]: Simplify (+ (* 1/2 17/120) (+ (* 0 0) (+ (* 0 1/2) (+ (* 0 0) (* 0 1))))) into 17/240
6.408 * [backup-simplify]: Simplify (+ 1/36 17/240) into 71/720
6.408 * [backup-simplify]: Simplify (- 71/720) into -71/720
6.408 * [backup-simplify]: Simplify -71/720 into -71/720
6.408 * [backup-simplify]: Simplify 0 into 0
6.412 * [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
6.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/120 1)) (* 0 (/ 0 1)) (* 1/6 (/ -1/6 1)) (* 0 (/ 0 1)))) into 7/360
6.414 * [backup-simplify]: Simplify 7/360 into 7/360
6.414 * [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))))
6.415 * [backup-simplify]: Simplify (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) into (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky))))
6.415 * [approximate]: Taking taylor expansion of (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) in (ky kx) around 0
6.415 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) in kx
6.415 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
6.415 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
6.415 * [taylor]: Taking taylor expansion of ky in kx
6.415 * [backup-simplify]: Simplify ky into ky
6.415 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
6.415 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
6.415 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
6.415 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in kx
6.416 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))))
6.416 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in kx
6.416 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in kx
6.416 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
6.416 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
6.416 * [taylor]: Taking taylor expansion of kx in kx
6.416 * [backup-simplify]: Simplify 0 into 0
6.416 * [backup-simplify]: Simplify 1 into 1
6.416 * [backup-simplify]: Simplify (/ 1 1) into 1
6.416 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
6.416 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
6.416 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
6.417 * [taylor]: Taking taylor expansion of kx in kx
6.417 * [backup-simplify]: Simplify 0 into 0
6.417 * [backup-simplify]: Simplify 1 into 1
6.417 * [backup-simplify]: Simplify (/ 1 1) into 1
6.417 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
6.417 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in kx
6.417 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
6.417 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
6.417 * [taylor]: Taking taylor expansion of ky in kx
6.417 * [backup-simplify]: Simplify ky into ky
6.417 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
6.417 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
6.417 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
6.418 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
6.418 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
6.418 * [taylor]: Taking taylor expansion of ky in kx
6.418 * [backup-simplify]: Simplify ky into ky
6.418 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
6.418 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
6.418 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
6.418 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
6.418 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
6.418 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
6.418 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
6.418 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
6.419 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
6.419 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
6.419 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
6.419 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
6.420 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
6.420 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
6.420 * [backup-simplify]: Simplify (+ 0) into 0
6.421 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
6.421 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
6.422 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.422 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
6.423 * [backup-simplify]: Simplify (+ 0 0) into 0
6.423 * [backup-simplify]: Simplify (+ 0) into 0
6.424 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
6.424 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
6.425 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.426 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
6.426 * [backup-simplify]: Simplify (+ 0 0) into 0
6.426 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
6.427 * [backup-simplify]: Simplify (+ 0 0) into 0
6.427 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
6.427 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
6.427 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
6.427 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
6.428 * [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)))
6.428 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) in ky
6.428 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
6.428 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
6.428 * [taylor]: Taking taylor expansion of ky in ky
6.428 * [backup-simplify]: Simplify 0 into 0
6.428 * [backup-simplify]: Simplify 1 into 1
6.429 * [backup-simplify]: Simplify (/ 1 1) into 1
6.429 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
6.429 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in ky
6.429 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))))
6.429 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in ky
6.429 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
6.429 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
6.429 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
6.429 * [taylor]: Taking taylor expansion of kx in ky
6.429 * [backup-simplify]: Simplify kx into kx
6.429 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
6.429 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
6.429 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
6.429 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
6.429 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
6.429 * [taylor]: Taking taylor expansion of kx in ky
6.429 * [backup-simplify]: Simplify kx into kx
6.429 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
6.430 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
6.430 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
6.430 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
6.430 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
6.430 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
6.430 * [taylor]: Taking taylor expansion of ky in ky
6.430 * [backup-simplify]: Simplify 0 into 0
6.430 * [backup-simplify]: Simplify 1 into 1
6.430 * [backup-simplify]: Simplify (/ 1 1) into 1
6.430 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
6.430 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
6.430 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
6.430 * [taylor]: Taking taylor expansion of ky in ky
6.430 * [backup-simplify]: Simplify 0 into 0
6.431 * [backup-simplify]: Simplify 1 into 1
6.431 * [backup-simplify]: Simplify (/ 1 1) into 1
6.431 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
6.431 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
6.431 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
6.431 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
6.431 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
6.432 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
6.432 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
6.432 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
6.432 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
6.432 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
6.433 * [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)))
6.433 * [backup-simplify]: Simplify (+ 0) into 0
6.434 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
6.434 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
6.435 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.435 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
6.436 * [backup-simplify]: Simplify (+ 0 0) into 0
6.436 * [backup-simplify]: Simplify (+ 0) into 0
6.437 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
6.437 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
6.437 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.438 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
6.438 * [backup-simplify]: Simplify (+ 0 0) into 0
6.439 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
6.439 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
6.439 * [backup-simplify]: Simplify (+ 0 0) into 0
6.440 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
6.440 * [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)))
6.440 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) in ky
6.440 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
6.440 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
6.440 * [taylor]: Taking taylor expansion of ky in ky
6.440 * [backup-simplify]: Simplify 0 into 0
6.440 * [backup-simplify]: Simplify 1 into 1
6.441 * [backup-simplify]: Simplify (/ 1 1) into 1
6.441 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
6.441 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in ky
6.441 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))))
6.441 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in ky
6.441 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
6.441 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
6.441 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
6.441 * [taylor]: Taking taylor expansion of kx in ky
6.441 * [backup-simplify]: Simplify kx into kx
6.441 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
6.441 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
6.442 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
6.442 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
6.442 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
6.442 * [taylor]: Taking taylor expansion of kx in ky
6.442 * [backup-simplify]: Simplify kx into kx
6.442 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
6.442 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
6.442 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
6.442 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
6.442 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
6.442 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
6.442 * [taylor]: Taking taylor expansion of ky in ky
6.442 * [backup-simplify]: Simplify 0 into 0
6.442 * [backup-simplify]: Simplify 1 into 1
6.442 * [backup-simplify]: Simplify (/ 1 1) into 1
6.443 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
6.443 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
6.443 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
6.443 * [taylor]: Taking taylor expansion of ky in ky
6.443 * [backup-simplify]: Simplify 0 into 0
6.443 * [backup-simplify]: Simplify 1 into 1
6.443 * [backup-simplify]: Simplify (/ 1 1) into 1
6.443 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
6.443 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
6.443 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
6.444 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
6.444 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
6.444 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
6.444 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
6.444 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
6.444 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
6.445 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
6.445 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
6.446 * [backup-simplify]: Simplify (+ 0) into 0
6.446 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
6.446 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
6.447 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.448 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
6.448 * [backup-simplify]: Simplify (+ 0 0) into 0
6.448 * [backup-simplify]: Simplify (+ 0) into 0
6.449 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
6.449 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
6.450 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.450 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
6.451 * [backup-simplify]: Simplify (+ 0 0) into 0
6.451 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
6.451 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
6.452 * [backup-simplify]: Simplify (+ 0 0) into 0
6.452 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
6.452 * [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)))
6.453 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) in kx
6.453 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in kx
6.453 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx
6.453 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx
6.453 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx
6.453 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
6.453 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
6.453 * [taylor]: Taking taylor expansion of kx in kx
6.453 * [backup-simplify]: Simplify 0 into 0
6.453 * [backup-simplify]: Simplify 1 into 1
6.453 * [backup-simplify]: Simplify (/ 1 1) into 1
6.453 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
6.453 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx
6.453 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
6.453 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
6.453 * [taylor]: Taking taylor expansion of ky in kx
6.454 * [backup-simplify]: Simplify ky into ky
6.454 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
6.454 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
6.454 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
6.454 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
6.454 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
6.454 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
6.454 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
6.454 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
6.455 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
6.455 * [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)))
6.456 * [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))))
6.456 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
6.456 * [backup-simplify]: Simplify (+ 0) into 0
6.457 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
6.457 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
6.458 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.458 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
6.459 * [backup-simplify]: Simplify (+ 0 0) into 0
6.459 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
6.459 * [backup-simplify]: Simplify (+ 0 0) into 0
6.460 * [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
6.461 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
6.461 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
6.461 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
6.461 * [taylor]: Taking taylor expansion of ky in kx
6.461 * [backup-simplify]: Simplify ky into ky
6.461 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
6.461 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
6.461 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
6.461 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
6.461 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
6.461 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
6.462 * [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)))
6.462 * [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)))
6.464 * [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
6.464 * [taylor]: Taking taylor expansion of 0 in kx
6.464 * [backup-simplify]: Simplify 0 into 0
6.464 * [backup-simplify]: Simplify 0 into 0
6.464 * [backup-simplify]: Simplify (+ 0) into 0
6.465 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
6.465 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
6.466 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.467 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
6.467 * [backup-simplify]: Simplify (+ 0 0) into 0
6.468 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) 0) (* 0 (sin (/ 1 ky)))) into 0
6.468 * [backup-simplify]: Simplify 0 into 0
6.469 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.469 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
6.470 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
6.471 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.471 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
6.472 * [backup-simplify]: Simplify (+ 0 0) into 0
6.472 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.473 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
6.473 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
6.474 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.475 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
6.475 * [backup-simplify]: Simplify (+ 0 0) into 0
6.476 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
6.477 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
6.477 * [backup-simplify]: Simplify (+ 0 0) into 0
6.478 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
6.480 * [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
6.480 * [taylor]: Taking taylor expansion of 0 in kx
6.480 * [backup-simplify]: Simplify 0 into 0
6.480 * [backup-simplify]: Simplify 0 into 0
6.480 * [backup-simplify]: Simplify 0 into 0
6.481 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.482 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
6.482 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
6.483 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.484 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
6.484 * [backup-simplify]: Simplify (+ 0 0) into 0
6.485 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
6.486 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.487 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
6.487 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
6.488 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.488 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
6.489 * [backup-simplify]: Simplify (+ 0 0) into 0
6.489 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
6.490 * [backup-simplify]: Simplify (+ 0 0) into 0
6.491 * [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
6.492 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
6.493 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
6.493 * [backup-simplify]: Simplify 0 into 0
6.494 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
6.495 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.496 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
6.497 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
6.498 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
6.498 * [backup-simplify]: Simplify (+ 0 0) into 0
6.499 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
6.500 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.501 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
6.502 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
6.503 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
6.503 * [backup-simplify]: Simplify (+ 0 0) into 0
6.504 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 kx)))))) into 0
6.505 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 ky)))))) into 0
6.506 * [backup-simplify]: Simplify (+ 0 0) into 0
6.507 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
6.509 * [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
6.509 * [taylor]: Taking taylor expansion of 0 in kx
6.509 * [backup-simplify]: Simplify 0 into 0
6.509 * [backup-simplify]: Simplify 0 into 0
6.509 * [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))
6.509 * [backup-simplify]: Simplify (/ (sin (/ 1 (- ky))) (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky))))) into (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky))))
6.509 * [approximate]: Taking taylor expansion of (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))) in (ky kx) around 0
6.509 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))) in kx
6.509 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
6.509 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
6.509 * [taylor]: Taking taylor expansion of -1 in kx
6.509 * [backup-simplify]: Simplify -1 into -1
6.509 * [taylor]: Taking taylor expansion of ky in kx
6.509 * [backup-simplify]: Simplify ky into ky
6.509 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
6.510 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
6.510 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
6.510 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 kx)) (sin (/ -1 ky))) in kx
6.510 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))))
6.510 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))) in kx
6.510 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in kx
6.510 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
6.510 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
6.510 * [taylor]: Taking taylor expansion of -1 in kx
6.510 * [backup-simplify]: Simplify -1 into -1
6.510 * [taylor]: Taking taylor expansion of kx in kx
6.510 * [backup-simplify]: Simplify 0 into 0
6.510 * [backup-simplify]: Simplify 1 into 1
6.510 * [backup-simplify]: Simplify (/ -1 1) into -1
6.510 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
6.510 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
6.510 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
6.510 * [taylor]: Taking taylor expansion of -1 in kx
6.510 * [backup-simplify]: Simplify -1 into -1
6.510 * [taylor]: Taking taylor expansion of kx in kx
6.510 * [backup-simplify]: Simplify 0 into 0
6.510 * [backup-simplify]: Simplify 1 into 1
6.511 * [backup-simplify]: Simplify (/ -1 1) into -1
6.511 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
6.511 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in kx
6.511 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
6.511 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
6.511 * [taylor]: Taking taylor expansion of -1 in kx
6.511 * [backup-simplify]: Simplify -1 into -1
6.511 * [taylor]: Taking taylor expansion of ky in kx
6.511 * [backup-simplify]: Simplify ky into ky
6.511 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
6.511 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
6.511 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
6.511 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
6.511 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
6.511 * [taylor]: Taking taylor expansion of -1 in kx
6.511 * [backup-simplify]: Simplify -1 into -1
6.511 * [taylor]: Taking taylor expansion of ky in kx
6.511 * [backup-simplify]: Simplify ky into ky
6.511 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
6.511 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
6.511 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
6.511 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
6.511 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
6.511 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
6.512 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
6.512 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
6.512 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
6.512 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
6.512 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
6.512 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
6.512 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
6.512 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
6.513 * [backup-simplify]: Simplify (+ 0) into 0
6.513 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
6.513 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
6.514 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.514 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
6.514 * [backup-simplify]: Simplify (+ 0 0) into 0
6.514 * [backup-simplify]: Simplify (+ 0) into 0
6.515 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
6.515 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
6.515 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.516 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
6.516 * [backup-simplify]: Simplify (+ 0 0) into 0
6.516 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
6.516 * [backup-simplify]: Simplify (+ 0 0) into 0
6.517 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
6.517 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
6.517 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
6.517 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
6.517 * [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)))
6.517 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))) in ky
6.517 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
6.517 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
6.517 * [taylor]: Taking taylor expansion of -1 in ky
6.517 * [backup-simplify]: Simplify -1 into -1
6.517 * [taylor]: Taking taylor expansion of ky in ky
6.517 * [backup-simplify]: Simplify 0 into 0
6.517 * [backup-simplify]: Simplify 1 into 1
6.517 * [backup-simplify]: Simplify (/ -1 1) into -1
6.518 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
6.518 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 kx)) (sin (/ -1 ky))) in ky
6.518 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))))
6.518 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))) in ky
6.518 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
6.518 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
6.518 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
6.518 * [taylor]: Taking taylor expansion of -1 in ky
6.518 * [backup-simplify]: Simplify -1 into -1
6.518 * [taylor]: Taking taylor expansion of kx in ky
6.518 * [backup-simplify]: Simplify kx into kx
6.518 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
6.518 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
6.518 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
6.518 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
6.518 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
6.518 * [taylor]: Taking taylor expansion of -1 in ky
6.518 * [backup-simplify]: Simplify -1 into -1
6.518 * [taylor]: Taking taylor expansion of kx in ky
6.518 * [backup-simplify]: Simplify kx into kx
6.518 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
6.518 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
6.518 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
6.518 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
6.518 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
6.518 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
6.518 * [taylor]: Taking taylor expansion of -1 in ky
6.518 * [backup-simplify]: Simplify -1 into -1
6.518 * [taylor]: Taking taylor expansion of ky in ky
6.518 * [backup-simplify]: Simplify 0 into 0
6.518 * [backup-simplify]: Simplify 1 into 1
6.519 * [backup-simplify]: Simplify (/ -1 1) into -1
6.519 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
6.519 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
6.519 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
6.519 * [taylor]: Taking taylor expansion of -1 in ky
6.519 * [backup-simplify]: Simplify -1 into -1
6.519 * [taylor]: Taking taylor expansion of ky in ky
6.519 * [backup-simplify]: Simplify 0 into 0
6.519 * [backup-simplify]: Simplify 1 into 1
6.519 * [backup-simplify]: Simplify (/ -1 1) into -1
6.519 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
6.519 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
6.519 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
6.519 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
6.519 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
6.519 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
6.520 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
6.520 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
6.520 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
6.520 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
6.520 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
6.521 * [backup-simplify]: Simplify (+ 0) into 0
6.521 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
6.521 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
6.522 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.522 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
6.522 * [backup-simplify]: Simplify (+ 0 0) into 0
6.522 * [backup-simplify]: Simplify (+ 0) into 0
6.523 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
6.523 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
6.523 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.524 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
6.524 * [backup-simplify]: Simplify (+ 0 0) into 0
6.524 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
6.524 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
6.524 * [backup-simplify]: Simplify (+ 0 0) into 0
6.525 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
6.525 * [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)))
6.525 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))) in ky
6.525 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
6.525 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
6.525 * [taylor]: Taking taylor expansion of -1 in ky
6.525 * [backup-simplify]: Simplify -1 into -1
6.525 * [taylor]: Taking taylor expansion of ky in ky
6.525 * [backup-simplify]: Simplify 0 into 0
6.525 * [backup-simplify]: Simplify 1 into 1
6.525 * [backup-simplify]: Simplify (/ -1 1) into -1
6.525 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
6.525 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 kx)) (sin (/ -1 ky))) in ky
6.525 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))))
6.525 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))) in ky
6.526 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
6.526 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
6.526 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
6.526 * [taylor]: Taking taylor expansion of -1 in ky
6.526 * [backup-simplify]: Simplify -1 into -1
6.526 * [taylor]: Taking taylor expansion of kx in ky
6.526 * [backup-simplify]: Simplify kx into kx
6.526 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
6.526 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
6.526 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
6.526 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
6.526 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
6.526 * [taylor]: Taking taylor expansion of -1 in ky
6.526 * [backup-simplify]: Simplify -1 into -1
6.526 * [taylor]: Taking taylor expansion of kx in ky
6.526 * [backup-simplify]: Simplify kx into kx
6.526 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
6.526 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
6.526 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
6.526 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
6.526 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
6.526 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
6.526 * [taylor]: Taking taylor expansion of -1 in ky
6.526 * [backup-simplify]: Simplify -1 into -1
6.526 * [taylor]: Taking taylor expansion of ky in ky
6.526 * [backup-simplify]: Simplify 0 into 0
6.526 * [backup-simplify]: Simplify 1 into 1
6.526 * [backup-simplify]: Simplify (/ -1 1) into -1
6.526 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
6.526 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
6.527 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
6.527 * [taylor]: Taking taylor expansion of -1 in ky
6.527 * [backup-simplify]: Simplify -1 into -1
6.527 * [taylor]: Taking taylor expansion of ky in ky
6.527 * [backup-simplify]: Simplify 0 into 0
6.527 * [backup-simplify]: Simplify 1 into 1
6.527 * [backup-simplify]: Simplify (/ -1 1) into -1
6.527 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
6.527 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
6.527 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
6.527 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
6.527 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
6.527 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
6.527 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
6.527 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
6.527 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
6.528 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
6.528 * [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)))
6.528 * [backup-simplify]: Simplify (+ 0) into 0
6.529 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
6.529 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
6.529 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.529 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
6.530 * [backup-simplify]: Simplify (+ 0 0) into 0
6.530 * [backup-simplify]: Simplify (+ 0) into 0
6.530 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
6.530 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
6.531 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.531 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
6.531 * [backup-simplify]: Simplify (+ 0 0) into 0
6.532 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
6.532 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
6.532 * [backup-simplify]: Simplify (+ 0 0) into 0
6.532 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
6.532 * [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)))
6.533 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) in kx
6.533 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in kx
6.533 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx
6.533 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx
6.533 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx
6.533 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
6.533 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
6.533 * [taylor]: Taking taylor expansion of -1 in kx
6.533 * [backup-simplify]: Simplify -1 into -1
6.533 * [taylor]: Taking taylor expansion of kx in kx
6.533 * [backup-simplify]: Simplify 0 into 0
6.533 * [backup-simplify]: Simplify 1 into 1
6.533 * [backup-simplify]: Simplify (/ -1 1) into -1
6.533 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
6.533 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx
6.533 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
6.533 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
6.533 * [taylor]: Taking taylor expansion of -1 in kx
6.533 * [backup-simplify]: Simplify -1 into -1
6.533 * [taylor]: Taking taylor expansion of ky in kx
6.533 * [backup-simplify]: Simplify ky into ky
6.533 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
6.533 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
6.533 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
6.533 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
6.533 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
6.534 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
6.534 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
6.534 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
6.534 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
6.534 * [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)))
6.534 * [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))))
6.534 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
6.535 * [backup-simplify]: Simplify (+ 0) into 0
6.535 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
6.535 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
6.536 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.536 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
6.536 * [backup-simplify]: Simplify (+ 0 0) into 0
6.536 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
6.537 * [backup-simplify]: Simplify (+ 0 0) into 0
6.537 * [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
6.537 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
6.538 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
6.538 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
6.538 * [taylor]: Taking taylor expansion of -1 in kx
6.538 * [backup-simplify]: Simplify -1 into -1
6.538 * [taylor]: Taking taylor expansion of ky in kx
6.538 * [backup-simplify]: Simplify ky into ky
6.538 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
6.538 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
6.538 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
6.538 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
6.538 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
6.538 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
6.538 * [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)))
6.538 * [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)))
6.539 * [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
6.539 * [taylor]: Taking taylor expansion of 0 in kx
6.539 * [backup-simplify]: Simplify 0 into 0
6.539 * [backup-simplify]: Simplify 0 into 0
6.540 * [backup-simplify]: Simplify (+ 0) into 0
6.540 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
6.540 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
6.541 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.541 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
6.542 * [backup-simplify]: Simplify (+ 0 0) into 0
6.542 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) 0) (* 0 (sin (/ -1 ky)))) into 0
6.542 * [backup-simplify]: Simplify 0 into 0
6.543 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.546 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
6.546 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
6.547 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.548 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
6.548 * [backup-simplify]: Simplify (+ 0 0) into 0
6.549 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.550 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
6.550 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
6.551 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.552 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
6.552 * [backup-simplify]: Simplify (+ 0 0) into 0
6.553 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
6.553 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
6.554 * [backup-simplify]: Simplify (+ 0 0) into 0
6.555 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
6.557 * [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
6.557 * [taylor]: Taking taylor expansion of 0 in kx
6.557 * [backup-simplify]: Simplify 0 into 0
6.557 * [backup-simplify]: Simplify 0 into 0
6.557 * [backup-simplify]: Simplify 0 into 0
6.558 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.559 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
6.559 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
6.560 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.560 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
6.561 * [backup-simplify]: Simplify (+ 0 0) into 0
6.561 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
6.562 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.562 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
6.562 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
6.563 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.563 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
6.563 * [backup-simplify]: Simplify (+ 0 0) into 0
6.564 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
6.564 * [backup-simplify]: Simplify (+ 0 0) into 0
6.565 * [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
6.565 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
6.566 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
6.566 * [backup-simplify]: Simplify 0 into 0
6.567 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
6.567 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.567 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
6.568 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
6.569 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
6.569 * [backup-simplify]: Simplify (+ 0 0) into 0
6.569 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
6.570 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.570 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
6.571 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
6.572 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
6.572 * [backup-simplify]: Simplify (+ 0 0) into 0
6.572 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 kx)))))) into 0
6.573 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 ky)))))) into 0
6.573 * [backup-simplify]: Simplify (+ 0 0) into 0
6.574 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
6.575 * [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
6.575 * [taylor]: Taking taylor expansion of 0 in kx
6.575 * [backup-simplify]: Simplify 0 into 0
6.575 * [backup-simplify]: Simplify 0 into 0
6.576 * [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))
6.576 * * * * [progress]: [ 2 / 3 ] generating series at (2)
6.576 * [backup-simplify]: Simplify (* (/ (sin ky) (hypot (sin kx) (sin ky))) (sin th)) into (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky)))
6.576 * [approximate]: Taking taylor expansion of (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky))) in (ky kx th) around 0
6.576 * [taylor]: Taking taylor expansion of (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky))) in th
6.576 * [taylor]: Taking taylor expansion of (* (sin th) (sin ky)) in th
6.576 * [taylor]: Taking taylor expansion of (sin th) in th
6.576 * [taylor]: Taking taylor expansion of th in th
6.576 * [backup-simplify]: Simplify 0 into 0
6.576 * [backup-simplify]: Simplify 1 into 1
6.576 * [taylor]: Taking taylor expansion of (sin ky) in th
6.576 * [taylor]: Taking taylor expansion of ky in th
6.576 * [backup-simplify]: Simplify ky into ky
6.576 * [backup-simplify]: Simplify (sin ky) into (sin ky)
6.576 * [backup-simplify]: Simplify (cos ky) into (cos ky)
6.576 * [taylor]: Taking taylor expansion of (hypot (sin kx) (sin ky)) in th
6.576 * [taylor]: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
6.576 * [taylor]: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in th
6.576 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in th
6.576 * [taylor]: Taking taylor expansion of (sin kx) in th
6.576 * [taylor]: Taking taylor expansion of kx in th
6.576 * [backup-simplify]: Simplify kx into kx
6.576 * [backup-simplify]: Simplify (sin kx) into (sin kx)
6.576 * [backup-simplify]: Simplify (cos kx) into (cos kx)
6.576 * [taylor]: Taking taylor expansion of (sin kx) in th
6.576 * [taylor]: Taking taylor expansion of kx in th
6.576 * [backup-simplify]: Simplify kx into kx
6.576 * [backup-simplify]: Simplify (sin kx) into (sin kx)
6.577 * [backup-simplify]: Simplify (cos kx) into (cos kx)
6.577 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in th
6.577 * [taylor]: Taking taylor expansion of (sin ky) in th
6.577 * [taylor]: Taking taylor expansion of ky in th
6.577 * [backup-simplify]: Simplify ky into ky
6.577 * [backup-simplify]: Simplify (sin ky) into (sin ky)
6.577 * [backup-simplify]: Simplify (cos ky) into (cos ky)
6.577 * [taylor]: Taking taylor expansion of (sin ky) in th
6.577 * [taylor]: Taking taylor expansion of ky in th
6.577 * [backup-simplify]: Simplify ky into ky
6.577 * [backup-simplify]: Simplify (sin ky) into (sin ky)
6.577 * [backup-simplify]: Simplify (cos ky) into (cos ky)
6.577 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
6.577 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
6.577 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
6.577 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
6.577 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
6.577 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
6.577 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
6.577 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
6.577 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
6.577 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
6.577 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
6.577 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
6.577 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
6.578 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
6.578 * [backup-simplify]: Simplify (+ (pow (sin kx) 2) (pow (sin ky) 2)) into (+ (pow (sin ky) 2) (pow (sin kx) 2))
6.578 * [backup-simplify]: Simplify (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) into (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))
6.578 * [backup-simplify]: Simplify (+ 0) into 0
6.579 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
6.579 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.580 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
6.580 * [backup-simplify]: Simplify (+ 0 0) into 0
6.580 * [backup-simplify]: Simplify (+ 0) into 0
6.581 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
6.581 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.581 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
6.582 * [backup-simplify]: Simplify (+ 0 0) into 0
6.582 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
6.582 * [backup-simplify]: Simplify (+ 0) into 0
6.582 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
6.583 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.583 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
6.583 * [backup-simplify]: Simplify (+ 0 0) into 0
6.583 * [backup-simplify]: Simplify (+ 0) into 0
6.584 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
6.584 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.585 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
6.585 * [backup-simplify]: Simplify (+ 0 0) into 0
6.585 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
6.585 * [backup-simplify]: Simplify (+ 0 0) into 0
6.585 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))) into 0
6.585 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
6.585 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
6.586 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
6.586 * [backup-simplify]: Simplify (* 0 (sin ky)) into 0
6.586 * [backup-simplify]: Simplify (+ 0) into 0
6.586 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
6.587 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.587 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
6.587 * [backup-simplify]: Simplify (+ 0 0) into 0
6.588 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
6.588 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin ky))) into (sin ky)
6.588 * [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))
6.588 * [taylor]: Taking taylor expansion of (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky))) in kx
6.588 * [taylor]: Taking taylor expansion of (* (sin th) (sin ky)) in kx
6.588 * [taylor]: Taking taylor expansion of (sin th) in kx
6.588 * [taylor]: Taking taylor expansion of th in kx
6.588 * [backup-simplify]: Simplify th into th
6.588 * [backup-simplify]: Simplify (sin th) into (sin th)
6.588 * [backup-simplify]: Simplify (cos th) into (cos th)
6.588 * [taylor]: Taking taylor expansion of (sin ky) in kx
6.588 * [taylor]: Taking taylor expansion of ky in kx
6.588 * [backup-simplify]: Simplify ky into ky
6.588 * [backup-simplify]: Simplify (sin ky) into (sin ky)
6.588 * [backup-simplify]: Simplify (cos ky) into (cos ky)
6.588 * [taylor]: Taking taylor expansion of (hypot (sin kx) (sin ky)) in kx
6.589 * [taylor]: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
6.589 * [taylor]: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in kx
6.589 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in kx
6.589 * [taylor]: Taking taylor expansion of (sin kx) in kx
6.589 * [taylor]: Taking taylor expansion of kx in kx
6.589 * [backup-simplify]: Simplify 0 into 0
6.589 * [backup-simplify]: Simplify 1 into 1
6.589 * [taylor]: Taking taylor expansion of (sin kx) in kx
6.589 * [taylor]: Taking taylor expansion of kx in kx
6.589 * [backup-simplify]: Simplify 0 into 0
6.589 * [backup-simplify]: Simplify 1 into 1
6.589 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in kx
6.589 * [taylor]: Taking taylor expansion of (sin ky) in kx
6.589 * [taylor]: Taking taylor expansion of ky in kx
6.589 * [backup-simplify]: Simplify ky into ky
6.589 * [backup-simplify]: Simplify (sin ky) into (sin ky)
6.589 * [backup-simplify]: Simplify (cos ky) into (cos ky)
6.589 * [taylor]: Taking taylor expansion of (sin ky) in kx
6.589 * [taylor]: Taking taylor expansion of ky in kx
6.589 * [backup-simplify]: Simplify ky into ky
6.589 * [backup-simplify]: Simplify (sin ky) into (sin ky)
6.589 * [backup-simplify]: Simplify (cos ky) into (cos ky)
6.589 * [backup-simplify]: Simplify (* 0 0) into 0
6.589 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
6.589 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
6.589 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
6.589 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
6.589 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
6.589 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
6.590 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
6.590 * [backup-simplify]: Simplify (+ 0 (pow (sin ky) 2)) into (pow (sin ky) 2)
6.590 * [backup-simplify]: Simplify (sqrt (pow (sin ky) 2)) into (sin ky)
6.590 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
6.591 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
6.591 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.591 * [backup-simplify]: Simplify (+ 0) into 0
6.592 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
6.592 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.592 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
6.593 * [backup-simplify]: Simplify (+ 0 0) into 0
6.593 * [backup-simplify]: Simplify (+ 0) into 0
6.594 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
6.594 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.595 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
6.595 * [backup-simplify]: Simplify (+ 0 0) into 0
6.595 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
6.596 * [backup-simplify]: Simplify (+ 0 0) into 0
6.596 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin ky) 2)))) into 0
6.596 * [backup-simplify]: Simplify (* (sin th) 1) into (sin th)
6.596 * [backup-simplify]: Simplify (* (cos th) 0) into 0
6.596 * [backup-simplify]: Simplify (+ (sin th) 0) into (sin th)
6.596 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
6.596 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
6.597 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
6.597 * [backup-simplify]: Simplify (* (sin th) (sin ky)) into (* (sin th) (sin ky))
6.597 * [backup-simplify]: Simplify (/ (* (sin th) (sin ky)) (sin ky)) into (sin th)
6.597 * [taylor]: Taking taylor expansion of (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky))) in ky
6.597 * [taylor]: Taking taylor expansion of (* (sin th) (sin ky)) in ky
6.597 * [taylor]: Taking taylor expansion of (sin th) in ky
6.597 * [taylor]: Taking taylor expansion of th in ky
6.597 * [backup-simplify]: Simplify th into th
6.597 * [backup-simplify]: Simplify (sin th) into (sin th)
6.597 * [backup-simplify]: Simplify (cos th) into (cos th)
6.597 * [taylor]: Taking taylor expansion of (sin ky) in ky
6.597 * [taylor]: Taking taylor expansion of ky in ky
6.597 * [backup-simplify]: Simplify 0 into 0
6.597 * [backup-simplify]: Simplify 1 into 1
6.597 * [taylor]: Taking taylor expansion of (hypot (sin kx) (sin ky)) in ky
6.597 * [taylor]: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
6.597 * [taylor]: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in ky
6.597 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
6.597 * [taylor]: Taking taylor expansion of (sin kx) in ky
6.598 * [taylor]: Taking taylor expansion of kx in ky
6.598 * [backup-simplify]: Simplify kx into kx
6.598 * [backup-simplify]: Simplify (sin kx) into (sin kx)
6.598 * [backup-simplify]: Simplify (cos kx) into (cos kx)
6.598 * [taylor]: Taking taylor expansion of (sin kx) in ky
6.598 * [taylor]: Taking taylor expansion of kx in ky
6.598 * [backup-simplify]: Simplify kx into kx
6.598 * [backup-simplify]: Simplify (sin kx) into (sin kx)
6.598 * [backup-simplify]: Simplify (cos kx) into (cos kx)
6.598 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
6.598 * [taylor]: Taking taylor expansion of (sin ky) in ky
6.598 * [taylor]: Taking taylor expansion of ky in ky
6.598 * [backup-simplify]: Simplify 0 into 0
6.598 * [backup-simplify]: Simplify 1 into 1
6.598 * [taylor]: Taking taylor expansion of (sin ky) in ky
6.598 * [taylor]: Taking taylor expansion of ky in ky
6.598 * [backup-simplify]: Simplify 0 into 0
6.598 * [backup-simplify]: Simplify 1 into 1
6.598 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
6.598 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
6.598 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
6.598 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
6.599 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
6.599 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
6.599 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
6.599 * [backup-simplify]: Simplify (* 0 0) into 0
6.599 * [backup-simplify]: Simplify (+ (pow (sin kx) 2) 0) into (pow (sin kx) 2)
6.600 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
6.600 * [backup-simplify]: Simplify (+ 0) into 0
6.601 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
6.601 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.602 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
6.602 * [backup-simplify]: Simplify (+ 0 0) into 0
6.602 * [backup-simplify]: Simplify (+ 0) into 0
6.603 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
6.604 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.604 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
6.605 * [backup-simplify]: Simplify (+ 0 0) into 0
6.605 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
6.605 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
6.606 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
6.607 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.608 * [backup-simplify]: Simplify (+ 0 0) into 0
6.608 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
6.608 * [backup-simplify]: Simplify (* (sin th) 1) into (sin th)
6.608 * [backup-simplify]: Simplify (* (cos th) 0) into 0
6.608 * [backup-simplify]: Simplify (+ (sin th) 0) into (sin th)
6.608 * [backup-simplify]: Simplify (* (sin th) 0) into 0
6.609 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
6.609 * [backup-simplify]: Simplify (+ 0) into 0
6.610 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 1)) into 0
6.610 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.611 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 0)) into 0
6.611 * [backup-simplify]: Simplify (+ 0 0) into 0
6.612 * [backup-simplify]: Simplify (+ (* (sin th) 1) (* 0 0)) into (sin th)
6.612 * [backup-simplify]: Simplify (/ (sin th) (sin kx)) into (/ (sin th) (sin kx))
6.612 * [taylor]: Taking taylor expansion of (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky))) in ky
6.612 * [taylor]: Taking taylor expansion of (* (sin th) (sin ky)) in ky
6.612 * [taylor]: Taking taylor expansion of (sin th) in ky
6.612 * [taylor]: Taking taylor expansion of th in ky
6.612 * [backup-simplify]: Simplify th into th
6.612 * [backup-simplify]: Simplify (sin th) into (sin th)
6.612 * [backup-simplify]: Simplify (cos th) into (cos th)
6.612 * [taylor]: Taking taylor expansion of (sin ky) in ky
6.612 * [taylor]: Taking taylor expansion of ky in ky
6.612 * [backup-simplify]: Simplify 0 into 0
6.612 * [backup-simplify]: Simplify 1 into 1
6.612 * [taylor]: Taking taylor expansion of (hypot (sin kx) (sin ky)) in ky
6.612 * [taylor]: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
6.612 * [taylor]: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in ky
6.612 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
6.613 * [taylor]: Taking taylor expansion of (sin kx) in ky
6.613 * [taylor]: Taking taylor expansion of kx in ky
6.613 * [backup-simplify]: Simplify kx into kx
6.613 * [backup-simplify]: Simplify (sin kx) into (sin kx)
6.613 * [backup-simplify]: Simplify (cos kx) into (cos kx)
6.613 * [taylor]: Taking taylor expansion of (sin kx) in ky
6.613 * [taylor]: Taking taylor expansion of kx in ky
6.613 * [backup-simplify]: Simplify kx into kx
6.613 * [backup-simplify]: Simplify (sin kx) into (sin kx)
6.613 * [backup-simplify]: Simplify (cos kx) into (cos kx)
6.613 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
6.613 * [taylor]: Taking taylor expansion of (sin ky) in ky
6.613 * [taylor]: Taking taylor expansion of ky in ky
6.613 * [backup-simplify]: Simplify 0 into 0
6.613 * [backup-simplify]: Simplify 1 into 1
6.613 * [taylor]: Taking taylor expansion of (sin ky) in ky
6.613 * [taylor]: Taking taylor expansion of ky in ky
6.613 * [backup-simplify]: Simplify 0 into 0
6.613 * [backup-simplify]: Simplify 1 into 1
6.613 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
6.613 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
6.613 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
6.614 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
6.614 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
6.614 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
6.614 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
6.614 * [backup-simplify]: Simplify (* 0 0) into 0
6.615 * [backup-simplify]: Simplify (+ (pow (sin kx) 2) 0) into (pow (sin kx) 2)
6.615 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
6.615 * [backup-simplify]: Simplify (+ 0) into 0
6.616 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
6.617 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.617 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
6.618 * [backup-simplify]: Simplify (+ 0 0) into 0
6.618 * [backup-simplify]: Simplify (+ 0) into 0
6.619 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
6.619 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.620 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
6.620 * [backup-simplify]: Simplify (+ 0 0) into 0
6.620 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
6.621 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
6.621 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
6.622 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.622 * [backup-simplify]: Simplify (+ 0 0) into 0
6.622 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
6.622 * [backup-simplify]: Simplify (* (sin th) 1) into (sin th)
6.622 * [backup-simplify]: Simplify (* (cos th) 0) into 0
6.622 * [backup-simplify]: Simplify (+ (sin th) 0) into (sin th)
6.622 * [backup-simplify]: Simplify (* (sin th) 0) into 0
6.623 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
6.623 * [backup-simplify]: Simplify (+ 0) into 0
6.623 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 1)) into 0
6.624 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.624 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 0)) into 0
6.624 * [backup-simplify]: Simplify (+ 0 0) into 0
6.624 * [backup-simplify]: Simplify (+ (* (sin th) 1) (* 0 0)) into (sin th)
6.625 * [backup-simplify]: Simplify (/ (sin th) (sin kx)) into (/ (sin th) (sin kx))
6.625 * [taylor]: Taking taylor expansion of (/ (sin th) (sin kx)) in kx
6.625 * [taylor]: Taking taylor expansion of (sin th) in kx
6.625 * [taylor]: Taking taylor expansion of th in kx
6.625 * [backup-simplify]: Simplify th into th
6.625 * [backup-simplify]: Simplify (sin th) into (sin th)
6.625 * [backup-simplify]: Simplify (cos th) into (cos th)
6.625 * [taylor]: Taking taylor expansion of (sin kx) in kx
6.625 * [taylor]: Taking taylor expansion of kx in kx
6.625 * [backup-simplify]: Simplify 0 into 0
6.625 * [backup-simplify]: Simplify 1 into 1
6.625 * [backup-simplify]: Simplify (* (sin th) 1) into (sin th)
6.625 * [backup-simplify]: Simplify (* (cos th) 0) into 0
6.625 * [backup-simplify]: Simplify (+ (sin th) 0) into (sin th)
6.625 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
6.625 * [backup-simplify]: Simplify (/ (sin th) 1) into (sin th)
6.626 * [backup-simplify]: Simplify (+ 0) into 0
6.626 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 1)) into 0
6.626 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.627 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 0)) into 0
6.627 * [backup-simplify]: Simplify (+ 0 0) into 0
6.628 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.628 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sin th) (/ 0 1)))) into 0
6.628 * [taylor]: Taking taylor expansion of 0 in th
6.628 * [backup-simplify]: Simplify 0 into 0
6.628 * [backup-simplify]: Simplify 0 into 0
6.629 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.629 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.630 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (* 0 1))) into 0
6.630 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.630 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (* 0 0))) into 0
6.631 * [backup-simplify]: Simplify (+ 0 0) into 0
6.631 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 1) (* 0 0))) into 0
6.631 * [backup-simplify]: Simplify (- (/ 0 (sin kx)) (+ (* (/ (sin th) (sin kx)) (/ 0 (sin kx))))) into 0
6.631 * [taylor]: Taking taylor expansion of 0 in kx
6.631 * [backup-simplify]: Simplify 0 into 0
6.631 * [taylor]: Taking taylor expansion of 0 in th
6.631 * [backup-simplify]: Simplify 0 into 0
6.631 * [backup-simplify]: Simplify 0 into 0
6.632 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.632 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (* 0 1))) into 0
6.633 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.633 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (* 0 0))) into 0
6.633 * [backup-simplify]: Simplify (+ 0 0) into 0
6.634 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
6.635 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sin th) (/ -1/6 1)) (* 0 (/ 0 1)))) into (* 1/6 (sin th))
6.635 * [taylor]: Taking taylor expansion of (* 1/6 (sin th)) in th
6.635 * [taylor]: Taking taylor expansion of 1/6 in th
6.635 * [backup-simplify]: Simplify 1/6 into 1/6
6.635 * [taylor]: Taking taylor expansion of (sin th) in th
6.635 * [taylor]: Taking taylor expansion of th in th
6.635 * [backup-simplify]: Simplify 0 into 0
6.635 * [backup-simplify]: Simplify 1 into 1
6.636 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
6.636 * [backup-simplify]: Simplify (+ (* 1/6 1) (* 0 0)) into 1/6
6.636 * [backup-simplify]: Simplify 1/6 into 1/6
6.636 * [backup-simplify]: Simplify 0 into 0
6.637 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
6.638 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
6.638 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.639 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
6.639 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
6.640 * [backup-simplify]: Simplify (+ 0 0) into 0
6.640 * [backup-simplify]: Simplify (+ (* (sin th) -1/6) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into (- (* 1/6 (sin th)))
6.641 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.641 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
6.642 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.642 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
6.642 * [backup-simplify]: Simplify (+ 0 0) into 0
6.643 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.643 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
6.644 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.644 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
6.644 * [backup-simplify]: Simplify (+ 0 0) into 0
6.645 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 (sin kx)))) into 0
6.645 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.645 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.646 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
6.646 * [backup-simplify]: Simplify (+ 0 1) into 1
6.647 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sin kx))) into (/ 1/2 (sin kx))
6.647 * [backup-simplify]: Simplify (- (/ (- (* 1/6 (sin th))) (sin kx)) (+ (* (/ (sin th) (sin kx)) (/ (/ 1/2 (sin kx)) (sin kx))) (* 0 (/ 0 (sin kx))))) into (- (+ (* 1/2 (/ (sin th) (pow (sin kx) 3))) (* 1/6 (/ (sin th) (sin kx)))))
6.647 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ (sin th) (pow (sin kx) 3))) (* 1/6 (/ (sin th) (sin kx))))) in kx
6.647 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (sin th) (pow (sin kx) 3))) (* 1/6 (/ (sin th) (sin kx)))) in kx
6.647 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sin th) (pow (sin kx) 3))) in kx
6.647 * [taylor]: Taking taylor expansion of 1/2 in kx
6.647 * [backup-simplify]: Simplify 1/2 into 1/2
6.647 * [taylor]: Taking taylor expansion of (/ (sin th) (pow (sin kx) 3)) in kx
6.647 * [taylor]: Taking taylor expansion of (sin th) in kx
6.647 * [taylor]: Taking taylor expansion of th in kx
6.647 * [backup-simplify]: Simplify th into th
6.647 * [backup-simplify]: Simplify (sin th) into (sin th)
6.647 * [backup-simplify]: Simplify (cos th) into (cos th)
6.647 * [taylor]: Taking taylor expansion of (pow (sin kx) 3) in kx
6.647 * [taylor]: Taking taylor expansion of (sin kx) in kx
6.647 * [taylor]: Taking taylor expansion of kx in kx
6.647 * [backup-simplify]: Simplify 0 into 0
6.647 * [backup-simplify]: Simplify 1 into 1
6.648 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
6.648 * [backup-simplify]: Simplify (* (sin th) 1) into (sin th)
6.648 * [backup-simplify]: Simplify (* (cos th) 0) into 0
6.648 * [backup-simplify]: Simplify (+ (sin th) 0) into (sin th)
6.648 * [backup-simplify]: Simplify (* 1 1) into 1
6.649 * [backup-simplify]: Simplify (* 1 1) into 1
6.649 * [backup-simplify]: Simplify (/ (sin th) 1) into (sin th)
6.649 * [taylor]: Taking taylor expansion of (* 1/6 (/ (sin th) (sin kx))) in kx
6.649 * [taylor]: Taking taylor expansion of 1/6 in kx
6.649 * [backup-simplify]: Simplify 1/6 into 1/6
6.649 * [taylor]: Taking taylor expansion of (/ (sin th) (sin kx)) in kx
6.649 * [taylor]: Taking taylor expansion of (sin th) in kx
6.649 * [taylor]: Taking taylor expansion of th in kx
6.649 * [backup-simplify]: Simplify th into th
6.649 * [backup-simplify]: Simplify (sin th) into (sin th)
6.649 * [backup-simplify]: Simplify (cos th) into (cos th)
6.649 * [taylor]: Taking taylor expansion of (sin kx) in kx
6.649 * [taylor]: Taking taylor expansion of kx in kx
6.649 * [backup-simplify]: Simplify 0 into 0
6.649 * [backup-simplify]: Simplify 1 into 1
6.649 * [backup-simplify]: Simplify (* (sin th) 1) into (sin th)
6.649 * [backup-simplify]: Simplify (* (cos th) 0) into 0
6.649 * [backup-simplify]: Simplify (+ (sin th) 0) into (sin th)
6.650 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
6.650 * [backup-simplify]: Simplify (/ (sin th) 1) into (sin th)
6.651 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
6.651 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.652 * [backup-simplify]: Simplify (+ 0) into 0
6.652 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.654 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
6.654 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.655 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.656 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
6.656 * [backup-simplify]: Simplify (+ 0 0) into 0
6.658 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
6.658 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.660 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
6.661 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0
6.665 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3
6.666 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.667 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/3) (+ (* -1/6 0) (* 0 1)))) into 0
6.668 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 1)) into 0
6.668 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 0)) into 0
6.668 * [backup-simplify]: Simplify (+ 0 0) into 0
6.669 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.670 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sin th) (/ 0 1)))) into 0
6.671 * [backup-simplify]: Simplify (+ (* 1 -1/3) (+ (* 0 0) (* -1/6 1))) into -1/2
6.672 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (* 0 1))) into 0
6.672 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (* 0 0))) into 0
6.673 * [backup-simplify]: Simplify (+ 0 0) into 0
6.674 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sin th) (/ -1/2 1)) (* 0 (/ 0 1)))) into (* 1/2 (sin th))
6.676 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sin th) (/ 0 1)) (* 0 (/ -1/2 1)) (* (* 1/2 (sin th)) (/ 0 1)))) into 0
6.677 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (* 1/2 (sin th))) (+ (* 0 0) (* 0 (sin th))))) into 0
6.678 * [backup-simplify]: Simplify (+ 0) into 0
6.678 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 1)) into 0
6.679 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.679 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 0)) into 0
6.680 * [backup-simplify]: Simplify (+ 0 0) into 0
6.680 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.681 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sin th) (/ 0 1)))) into 0
6.682 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (sin th))) into 0
6.682 * [backup-simplify]: Simplify (+ 0 0) into 0
6.682 * [backup-simplify]: Simplify (- 0) into 0
6.682 * [taylor]: Taking taylor expansion of 0 in th
6.682 * [backup-simplify]: Simplify 0 into 0
6.682 * [backup-simplify]: Simplify 0 into 0
6.683 * [taylor]: Taking taylor expansion of 0 in th
6.683 * [backup-simplify]: Simplify 0 into 0
6.683 * [backup-simplify]: Simplify 0 into 0
6.684 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
6.684 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.686 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
6.687 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
6.687 * [backup-simplify]: Simplify (+ 0 0) into 0
6.689 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
6.691 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sin th) (/ 0 1)) (* 0 (/ -1/6 1)) (* (* 1/6 (sin th)) (/ 0 1)))) into 0
6.691 * [taylor]: Taking taylor expansion of 0 in th
6.691 * [backup-simplify]: Simplify 0 into 0
6.691 * [backup-simplify]: Simplify 0 into 0
6.691 * [backup-simplify]: Simplify 0 into 0
6.692 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.693 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 1) (* 0 0))) into 0
6.693 * [backup-simplify]: Simplify 0 into 0
6.693 * [backup-simplify]: Simplify (* 1/6 (* th (* kx ky))) into (* 1/6 (* kx (* ky th)))
6.693 * [backup-simplify]: Simplify (* (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) (sin (/ 1 th))) into (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 kx)) (sin (/ 1 ky))))
6.693 * [approximate]: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) in (ky kx th) around 0
6.693 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) in th
6.693 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in th
6.693 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in th
6.693 * [taylor]: Taking taylor expansion of (/ 1 th) in th
6.693 * [taylor]: Taking taylor expansion of th in th
6.693 * [backup-simplify]: Simplify 0 into 0
6.694 * [backup-simplify]: Simplify 1 into 1
6.694 * [backup-simplify]: Simplify (/ 1 1) into 1
6.694 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
6.694 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
6.694 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
6.694 * [taylor]: Taking taylor expansion of ky in th
6.694 * [backup-simplify]: Simplify ky into ky
6.694 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
6.694 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
6.694 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
6.694 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in th
6.695 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))))
6.695 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in th
6.695 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in th
6.695 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in th
6.695 * [taylor]: Taking taylor expansion of (/ 1 kx) in th
6.695 * [taylor]: Taking taylor expansion of kx in th
6.695 * [backup-simplify]: Simplify kx into kx
6.695 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
6.695 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
6.695 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
6.695 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in th
6.695 * [taylor]: Taking taylor expansion of (/ 1 kx) in th
6.695 * [taylor]: Taking taylor expansion of kx in th
6.695 * [backup-simplify]: Simplify kx into kx
6.695 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
6.695 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
6.695 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
6.695 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in th
6.695 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
6.695 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
6.696 * [taylor]: Taking taylor expansion of ky in th
6.696 * [backup-simplify]: Simplify ky into ky
6.696 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
6.696 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
6.696 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
6.696 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
6.696 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
6.696 * [taylor]: Taking taylor expansion of ky in th
6.696 * [backup-simplify]: Simplify ky into ky
6.696 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
6.696 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
6.696 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
6.696 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
6.696 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
6.697 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
6.697 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
6.697 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
6.697 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
6.697 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
6.697 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
6.697 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
6.697 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
6.697 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
6.698 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
6.698 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
6.698 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
6.698 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
6.699 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
6.699 * [backup-simplify]: Simplify (+ 0) into 0
6.700 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
6.700 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
6.701 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.701 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
6.702 * [backup-simplify]: Simplify (+ 0 0) into 0
6.702 * [backup-simplify]: Simplify (+ 0) into 0
6.703 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
6.703 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
6.704 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.704 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
6.705 * [backup-simplify]: Simplify (+ 0 0) into 0
6.705 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
6.705 * [backup-simplify]: Simplify (+ 0) into 0
6.706 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
6.706 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
6.707 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.707 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
6.708 * [backup-simplify]: Simplify (+ 0 0) into 0
6.708 * [backup-simplify]: Simplify (+ 0) into 0
6.708 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
6.709 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
6.709 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.710 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
6.710 * [backup-simplify]: Simplify (+ 0 0) into 0
6.711 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
6.711 * [backup-simplify]: Simplify (+ 0 0) into 0
6.711 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
6.712 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
6.712 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
6.712 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
6.712 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
6.713 * [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)))))
6.713 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) in kx
6.713 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in kx
6.713 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in kx
6.713 * [taylor]: Taking taylor expansion of (/ 1 th) in kx
6.713 * [taylor]: Taking taylor expansion of th in kx
6.713 * [backup-simplify]: Simplify th into th
6.713 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
6.713 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
6.713 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
6.713 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
6.713 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
6.713 * [taylor]: Taking taylor expansion of ky in kx
6.713 * [backup-simplify]: Simplify ky into ky
6.713 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
6.713 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
6.714 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
6.714 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in kx
6.714 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))))
6.714 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in kx
6.714 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in kx
6.714 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
6.714 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
6.714 * [taylor]: Taking taylor expansion of kx in kx
6.714 * [backup-simplify]: Simplify 0 into 0
6.714 * [backup-simplify]: Simplify 1 into 1
6.714 * [backup-simplify]: Simplify (/ 1 1) into 1
6.715 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
6.715 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
6.715 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
6.715 * [taylor]: Taking taylor expansion of kx in kx
6.715 * [backup-simplify]: Simplify 0 into 0
6.715 * [backup-simplify]: Simplify 1 into 1
6.715 * [backup-simplify]: Simplify (/ 1 1) into 1
6.715 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
6.715 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in kx
6.715 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
6.715 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
6.715 * [taylor]: Taking taylor expansion of ky in kx
6.715 * [backup-simplify]: Simplify ky into ky
6.715 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
6.716 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
6.716 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
6.716 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
6.716 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
6.716 * [taylor]: Taking taylor expansion of ky in kx
6.716 * [backup-simplify]: Simplify ky into ky
6.716 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
6.716 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
6.717 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
6.717 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
6.717 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
6.717 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
6.717 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
6.717 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
6.717 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
6.718 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
6.718 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
6.718 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
6.719 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
6.719 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
6.719 * [backup-simplify]: Simplify (+ 0) into 0
6.720 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
6.720 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
6.721 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.721 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
6.722 * [backup-simplify]: Simplify (+ 0 0) into 0
6.722 * [backup-simplify]: Simplify (+ 0) into 0
6.723 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
6.723 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
6.724 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.724 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
6.725 * [backup-simplify]: Simplify (+ 0 0) into 0
6.725 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
6.725 * [backup-simplify]: Simplify (+ 0 0) into 0
6.726 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
6.726 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
6.726 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
6.726 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
6.726 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
6.726 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
6.726 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
6.727 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
6.727 * [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)))))
6.727 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) in ky
6.727 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in ky
6.727 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in ky
6.727 * [taylor]: Taking taylor expansion of (/ 1 th) in ky
6.727 * [taylor]: Taking taylor expansion of th in ky
6.727 * [backup-simplify]: Simplify th into th
6.727 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
6.727 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
6.728 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
6.728 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
6.728 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
6.728 * [taylor]: Taking taylor expansion of ky in ky
6.728 * [backup-simplify]: Simplify 0 into 0
6.728 * [backup-simplify]: Simplify 1 into 1
6.728 * [backup-simplify]: Simplify (/ 1 1) into 1
6.728 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
6.728 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in ky
6.728 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))))
6.728 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in ky
6.729 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
6.729 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
6.729 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
6.729 * [taylor]: Taking taylor expansion of kx in ky
6.729 * [backup-simplify]: Simplify kx into kx
6.729 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
6.729 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
6.729 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
6.729 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
6.729 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
6.729 * [taylor]: Taking taylor expansion of kx in ky
6.729 * [backup-simplify]: Simplify kx into kx
6.729 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
6.729 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
6.729 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
6.729 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
6.729 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
6.729 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
6.729 * [taylor]: Taking taylor expansion of ky in ky
6.729 * [backup-simplify]: Simplify 0 into 0
6.729 * [backup-simplify]: Simplify 1 into 1
6.730 * [backup-simplify]: Simplify (/ 1 1) into 1
6.730 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
6.730 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
6.730 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
6.730 * [taylor]: Taking taylor expansion of ky in ky
6.730 * [backup-simplify]: Simplify 0 into 0
6.730 * [backup-simplify]: Simplify 1 into 1
6.730 * [backup-simplify]: Simplify (/ 1 1) into 1
6.731 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
6.731 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
6.731 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
6.731 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
6.731 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
6.731 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
6.731 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
6.731 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
6.731 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
6.732 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
6.732 * [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)))
6.733 * [backup-simplify]: Simplify (+ 0) into 0
6.733 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
6.734 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
6.734 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.735 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
6.735 * [backup-simplify]: Simplify (+ 0 0) into 0
6.736 * [backup-simplify]: Simplify (+ 0) into 0
6.736 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
6.736 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
6.737 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.738 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
6.738 * [backup-simplify]: Simplify (+ 0 0) into 0
6.738 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
6.738 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
6.739 * [backup-simplify]: Simplify (+ 0 0) into 0
6.739 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
6.739 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
6.739 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
6.739 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
6.740 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
6.740 * [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)))))
6.740 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) in ky
6.740 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in ky
6.740 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in ky
6.740 * [taylor]: Taking taylor expansion of (/ 1 th) in ky
6.740 * [taylor]: Taking taylor expansion of th in ky
6.740 * [backup-simplify]: Simplify th into th
6.740 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
6.740 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
6.741 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
6.741 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
6.741 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
6.741 * [taylor]: Taking taylor expansion of ky in ky
6.741 * [backup-simplify]: Simplify 0 into 0
6.741 * [backup-simplify]: Simplify 1 into 1
6.741 * [backup-simplify]: Simplify (/ 1 1) into 1
6.741 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
6.741 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in ky
6.741 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))))
6.741 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in ky
6.742 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
6.742 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
6.742 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
6.742 * [taylor]: Taking taylor expansion of kx in ky
6.742 * [backup-simplify]: Simplify kx into kx
6.742 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
6.742 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
6.742 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
6.742 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
6.742 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
6.742 * [taylor]: Taking taylor expansion of kx in ky
6.742 * [backup-simplify]: Simplify kx into kx
6.742 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
6.742 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
6.742 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
6.742 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
6.742 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
6.742 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
6.742 * [taylor]: Taking taylor expansion of ky in ky
6.742 * [backup-simplify]: Simplify 0 into 0
6.742 * [backup-simplify]: Simplify 1 into 1
6.743 * [backup-simplify]: Simplify (/ 1 1) into 1
6.743 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
6.743 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
6.743 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
6.743 * [taylor]: Taking taylor expansion of ky in ky
6.743 * [backup-simplify]: Simplify 0 into 0
6.743 * [backup-simplify]: Simplify 1 into 1
6.743 * [backup-simplify]: Simplify (/ 1 1) into 1
6.743 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
6.744 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
6.744 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
6.744 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
6.744 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
6.744 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
6.744 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
6.744 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
6.744 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
6.745 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
6.745 * [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)))
6.746 * [backup-simplify]: Simplify (+ 0) into 0
6.746 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
6.746 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
6.747 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.748 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
6.748 * [backup-simplify]: Simplify (+ 0 0) into 0
6.748 * [backup-simplify]: Simplify (+ 0) into 0
6.749 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
6.749 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
6.750 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.750 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
6.751 * [backup-simplify]: Simplify (+ 0 0) into 0
6.751 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
6.751 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
6.752 * [backup-simplify]: Simplify (+ 0 0) into 0
6.752 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
6.752 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
6.752 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
6.752 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
6.753 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
6.753 * [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)))))
6.753 * [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
6.753 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in kx
6.753 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in kx
6.753 * [taylor]: Taking taylor expansion of (/ 1 th) in kx
6.753 * [taylor]: Taking taylor expansion of th in kx
6.753 * [backup-simplify]: Simplify th into th
6.753 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
6.753 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
6.754 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
6.754 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
6.754 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
6.754 * [taylor]: Taking taylor expansion of ky in kx
6.754 * [backup-simplify]: Simplify ky into ky
6.754 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
6.754 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
6.754 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
6.754 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in kx
6.754 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx
6.754 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx
6.754 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx
6.754 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
6.754 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
6.754 * [taylor]: Taking taylor expansion of kx in kx
6.754 * [backup-simplify]: Simplify 0 into 0
6.754 * [backup-simplify]: Simplify 1 into 1
6.755 * [backup-simplify]: Simplify (/ 1 1) into 1
6.755 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
6.755 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx
6.755 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
6.755 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
6.755 * [taylor]: Taking taylor expansion of ky in kx
6.755 * [backup-simplify]: Simplify ky into ky
6.755 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
6.755 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
6.755 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
6.755 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
6.755 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
6.755 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
6.756 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
6.756 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
6.756 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
6.756 * [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)))
6.757 * [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))))
6.757 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
6.758 * [backup-simplify]: Simplify (+ 0) into 0
6.758 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
6.758 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
6.759 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.760 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
6.760 * [backup-simplify]: Simplify (+ 0 0) into 0
6.760 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
6.761 * [backup-simplify]: Simplify (+ 0 0) into 0
6.761 * [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
6.762 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
6.762 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
6.762 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
6.762 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
6.762 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
6.762 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
6.762 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
6.763 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
6.763 * [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)))))
6.763 * [taylor]: Taking taylor expansion of (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) in th
6.763 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in th
6.763 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in th
6.763 * [taylor]: Taking taylor expansion of (/ 1 th) in th
6.763 * [taylor]: Taking taylor expansion of th in th
6.763 * [backup-simplify]: Simplify 0 into 0
6.763 * [backup-simplify]: Simplify 1 into 1
6.764 * [backup-simplify]: Simplify (/ 1 1) into 1
6.764 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
6.764 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
6.764 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
6.764 * [taylor]: Taking taylor expansion of ky in th
6.764 * [backup-simplify]: Simplify ky into ky
6.764 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
6.764 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
6.764 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
6.764 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in th
6.764 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in th
6.765 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in th
6.765 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in th
6.765 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in th
6.765 * [taylor]: Taking taylor expansion of (/ 1 kx) in th
6.765 * [taylor]: Taking taylor expansion of kx in th
6.765 * [backup-simplify]: Simplify kx into kx
6.765 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
6.765 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
6.765 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
6.765 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
6.765 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
6.765 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
6.765 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in th
6.765 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
6.765 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
6.765 * [taylor]: Taking taylor expansion of ky in th
6.765 * [backup-simplify]: Simplify ky into ky
6.765 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
6.766 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
6.766 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
6.766 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
6.766 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
6.766 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
6.766 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
6.766 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
6.767 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
6.767 * [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)))
6.767 * [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))))
6.768 * [backup-simplify]: Simplify (+ 0) into 0
6.769 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
6.769 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
6.770 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.770 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
6.770 * [backup-simplify]: Simplify (+ 0 0) into 0
6.771 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
6.771 * [backup-simplify]: Simplify (+ 0) into 0
6.772 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
6.772 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
6.773 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.773 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
6.773 * [backup-simplify]: Simplify (+ 0 0) into 0
6.774 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
6.774 * [backup-simplify]: Simplify (+ 0 0) into 0
6.775 * [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
6.776 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
6.776 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
6.776 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
6.776 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
6.776 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
6.777 * [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)))))
6.778 * [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)))))
6.778 * [backup-simplify]: Simplify (+ 0) into 0
6.779 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 1)) into 0
6.779 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
6.780 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.780 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 0)) into 0
6.781 * [backup-simplify]: Simplify (+ 0 0) into 0
6.781 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 (sin (/ 1 ky)))) into 0
6.783 * [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
6.783 * [taylor]: Taking taylor expansion of 0 in kx
6.783 * [backup-simplify]: Simplify 0 into 0
6.783 * [taylor]: Taking taylor expansion of 0 in th
6.783 * [backup-simplify]: Simplify 0 into 0
6.783 * [backup-simplify]: Simplify 0 into 0
6.783 * [backup-simplify]: Simplify (+ 0) into 0
6.784 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
6.784 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
6.785 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.785 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
6.786 * [backup-simplify]: Simplify (+ 0 0) into 0
6.786 * [backup-simplify]: Simplify (+ 0) into 0
6.787 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 1)) into 0
6.787 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
6.788 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.788 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 0)) into 0
6.789 * [backup-simplify]: Simplify (+ 0 0) into 0
6.789 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 (sin (/ 1 ky)))) into 0
6.789 * [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
6.789 * [taylor]: Taking taylor expansion of 0 in th
6.789 * [backup-simplify]: Simplify 0 into 0
6.790 * [backup-simplify]: Simplify 0 into 0
6.790 * [backup-simplify]: Simplify (+ 0) into 0
6.791 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
6.791 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
6.791 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.792 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
6.792 * [backup-simplify]: Simplify (+ 0 0) into 0
6.793 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 (sin (/ 1 ky)))) into 0
6.793 * [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
6.793 * [backup-simplify]: Simplify 0 into 0
6.794 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.795 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
6.795 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
6.796 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.797 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
6.797 * [backup-simplify]: Simplify (+ 0 0) into 0
6.798 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
6.799 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.800 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
6.800 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
6.801 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.801 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
6.802 * [backup-simplify]: Simplify (+ 0 0) into 0
6.803 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.804 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
6.804 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
6.805 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.805 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
6.806 * [backup-simplify]: Simplify (+ 0 0) into 0
6.806 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
6.807 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
6.807 * [backup-simplify]: Simplify (+ 0 0) into 0
6.808 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
6.809 * [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
6.810 * [taylor]: Taking taylor expansion of 0 in kx
6.810 * [backup-simplify]: Simplify 0 into 0
6.810 * [taylor]: Taking taylor expansion of 0 in th
6.810 * [backup-simplify]: Simplify 0 into 0
6.810 * [backup-simplify]: Simplify 0 into 0
6.810 * [taylor]: Taking taylor expansion of 0 in th
6.810 * [backup-simplify]: Simplify 0 into 0
6.810 * [backup-simplify]: Simplify 0 into 0
6.811 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
6.811 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.812 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
6.812 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
6.813 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.814 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
6.814 * [backup-simplify]: Simplify (+ 0 0) into 0
6.815 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
6.815 * [backup-simplify]: Simplify (+ 0 0) into 0
6.816 * [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
6.817 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
6.818 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.819 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
6.819 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
6.820 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.821 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
6.821 * [backup-simplify]: Simplify (+ 0 0) into 0
6.822 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.823 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
6.823 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
6.824 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.824 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
6.825 * [backup-simplify]: Simplify (+ 0 0) into 0
6.825 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
6.826 * [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
6.826 * [taylor]: Taking taylor expansion of 0 in th
6.827 * [backup-simplify]: Simplify 0 into 0
6.827 * [backup-simplify]: Simplify 0 into 0
6.827 * [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)))
6.828 * [backup-simplify]: Simplify (* (/ (sin (/ 1 (- ky))) (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky))))) (sin (/ 1 (- th)))) into (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 kx)) (sin (/ -1 ky))))
6.828 * [approximate]: Taking taylor expansion of (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))) in (ky kx th) around 0
6.828 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))) in th
6.828 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in th
6.828 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in th
6.828 * [taylor]: Taking taylor expansion of (/ -1 th) in th
6.828 * [taylor]: Taking taylor expansion of -1 in th
6.828 * [backup-simplify]: Simplify -1 into -1
6.828 * [taylor]: Taking taylor expansion of th in th
6.828 * [backup-simplify]: Simplify 0 into 0
6.828 * [backup-simplify]: Simplify 1 into 1
6.829 * [backup-simplify]: Simplify (/ -1 1) into -1
6.829 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
6.829 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
6.829 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
6.829 * [taylor]: Taking taylor expansion of -1 in th
6.829 * [backup-simplify]: Simplify -1 into -1
6.829 * [taylor]: Taking taylor expansion of ky in th
6.829 * [backup-simplify]: Simplify ky into ky
6.829 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
6.829 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
6.829 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
6.829 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 kx)) (sin (/ -1 ky))) in th
6.829 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))))
6.829 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))) in th
6.830 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in th
6.830 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in th
6.830 * [taylor]: Taking taylor expansion of (/ -1 kx) in th
6.830 * [taylor]: Taking taylor expansion of -1 in th
6.830 * [backup-simplify]: Simplify -1 into -1
6.830 * [taylor]: Taking taylor expansion of kx in th
6.830 * [backup-simplify]: Simplify kx into kx
6.830 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
6.830 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
6.830 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
6.830 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in th
6.830 * [taylor]: Taking taylor expansion of (/ -1 kx) in th
6.830 * [taylor]: Taking taylor expansion of -1 in th
6.830 * [backup-simplify]: Simplify -1 into -1
6.830 * [taylor]: Taking taylor expansion of kx in th
6.830 * [backup-simplify]: Simplify kx into kx
6.830 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
6.830 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
6.830 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
6.830 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in th
6.830 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
6.830 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
6.830 * [taylor]: Taking taylor expansion of -1 in th
6.830 * [backup-simplify]: Simplify -1 into -1
6.830 * [taylor]: Taking taylor expansion of ky in th
6.830 * [backup-simplify]: Simplify ky into ky
6.831 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
6.831 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
6.831 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
6.831 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
6.831 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
6.831 * [taylor]: Taking taylor expansion of -1 in th
6.831 * [backup-simplify]: Simplify -1 into -1
6.831 * [taylor]: Taking taylor expansion of ky in th
6.831 * [backup-simplify]: Simplify ky into ky
6.831 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
6.831 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
6.831 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
6.831 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
6.831 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
6.831 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
6.832 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
6.832 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
6.832 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
6.832 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
6.832 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
6.832 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
6.832 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
6.832 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
6.832 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
6.833 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
6.833 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
6.833 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
6.834 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
6.836 * [backup-simplify]: Simplify (+ 0) into 0
6.837 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
6.837 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
6.838 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.838 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
6.839 * [backup-simplify]: Simplify (+ 0 0) into 0
6.839 * [backup-simplify]: Simplify (+ 0) into 0
6.840 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
6.840 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
6.841 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.841 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
6.841 * [backup-simplify]: Simplify (+ 0 0) into 0
6.841 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
6.841 * [backup-simplify]: Simplify (+ 0) into 0
6.842 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
6.842 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
6.842 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.843 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
6.843 * [backup-simplify]: Simplify (+ 0 0) into 0
6.843 * [backup-simplify]: Simplify (+ 0) into 0
6.844 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
6.844 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
6.844 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.844 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
6.845 * [backup-simplify]: Simplify (+ 0 0) into 0
6.845 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
6.845 * [backup-simplify]: Simplify (+ 0 0) into 0
6.845 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
6.845 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
6.845 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
6.846 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
6.846 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
6.846 * [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)))))
6.846 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))) in kx
6.846 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in kx
6.846 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in kx
6.846 * [taylor]: Taking taylor expansion of (/ -1 th) in kx
6.846 * [taylor]: Taking taylor expansion of -1 in kx
6.846 * [backup-simplify]: Simplify -1 into -1
6.846 * [taylor]: Taking taylor expansion of th in kx
6.846 * [backup-simplify]: Simplify th into th
6.846 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
6.846 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
6.846 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
6.846 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
6.846 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
6.846 * [taylor]: Taking taylor expansion of -1 in kx
6.846 * [backup-simplify]: Simplify -1 into -1
6.846 * [taylor]: Taking taylor expansion of ky in kx
6.846 * [backup-simplify]: Simplify ky into ky
6.846 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
6.846 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
6.846 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
6.846 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 kx)) (sin (/ -1 ky))) in kx
6.847 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))))
6.847 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))) in kx
6.847 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in kx
6.847 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
6.847 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
6.847 * [taylor]: Taking taylor expansion of -1 in kx
6.847 * [backup-simplify]: Simplify -1 into -1
6.847 * [taylor]: Taking taylor expansion of kx in kx
6.847 * [backup-simplify]: Simplify 0 into 0
6.847 * [backup-simplify]: Simplify 1 into 1
6.847 * [backup-simplify]: Simplify (/ -1 1) into -1
6.847 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
6.847 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
6.847 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
6.847 * [taylor]: Taking taylor expansion of -1 in kx
6.847 * [backup-simplify]: Simplify -1 into -1
6.847 * [taylor]: Taking taylor expansion of kx in kx
6.847 * [backup-simplify]: Simplify 0 into 0
6.847 * [backup-simplify]: Simplify 1 into 1
6.847 * [backup-simplify]: Simplify (/ -1 1) into -1
6.848 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
6.848 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in kx
6.848 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
6.848 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
6.848 * [taylor]: Taking taylor expansion of -1 in kx
6.848 * [backup-simplify]: Simplify -1 into -1
6.848 * [taylor]: Taking taylor expansion of ky in kx
6.848 * [backup-simplify]: Simplify ky into ky
6.848 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
6.848 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
6.848 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
6.848 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
6.848 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
6.848 * [taylor]: Taking taylor expansion of -1 in kx
6.848 * [backup-simplify]: Simplify -1 into -1
6.848 * [taylor]: Taking taylor expansion of ky in kx
6.848 * [backup-simplify]: Simplify ky into ky
6.848 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
6.848 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
6.848 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
6.848 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
6.848 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
6.848 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
6.848 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
6.848 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
6.848 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
6.849 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
6.849 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
6.849 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
6.849 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
6.849 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
6.849 * [backup-simplify]: Simplify (+ 0) into 0
6.850 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
6.850 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
6.850 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.851 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
6.851 * [backup-simplify]: Simplify (+ 0 0) into 0
6.851 * [backup-simplify]: Simplify (+ 0) into 0
6.851 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
6.852 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
6.852 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.852 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
6.853 * [backup-simplify]: Simplify (+ 0 0) into 0
6.853 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
6.853 * [backup-simplify]: Simplify (+ 0 0) into 0
6.853 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
6.853 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
6.853 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
6.853 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
6.854 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
6.854 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
6.854 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
6.854 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
6.854 * [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)))))
6.854 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))) in ky
6.854 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in ky
6.854 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in ky
6.854 * [taylor]: Taking taylor expansion of (/ -1 th) in ky
6.854 * [taylor]: Taking taylor expansion of -1 in ky
6.854 * [backup-simplify]: Simplify -1 into -1
6.854 * [taylor]: Taking taylor expansion of th in ky
6.854 * [backup-simplify]: Simplify th into th
6.854 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
6.854 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
6.854 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
6.854 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
6.854 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
6.854 * [taylor]: Taking taylor expansion of -1 in ky
6.854 * [backup-simplify]: Simplify -1 into -1
6.854 * [taylor]: Taking taylor expansion of ky in ky
6.854 * [backup-simplify]: Simplify 0 into 0
6.854 * [backup-simplify]: Simplify 1 into 1
6.855 * [backup-simplify]: Simplify (/ -1 1) into -1
6.855 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
6.855 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 kx)) (sin (/ -1 ky))) in ky
6.855 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))))
6.855 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))) in ky
6.855 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
6.855 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
6.855 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
6.855 * [taylor]: Taking taylor expansion of -1 in ky
6.855 * [backup-simplify]: Simplify -1 into -1
6.855 * [taylor]: Taking taylor expansion of kx in ky
6.855 * [backup-simplify]: Simplify kx into kx
6.855 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
6.855 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
6.855 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
6.855 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
6.855 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
6.855 * [taylor]: Taking taylor expansion of -1 in ky
6.855 * [backup-simplify]: Simplify -1 into -1
6.855 * [taylor]: Taking taylor expansion of kx in ky
6.855 * [backup-simplify]: Simplify kx into kx
6.855 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
6.855 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
6.855 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
6.855 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
6.855 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
6.855 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
6.855 * [taylor]: Taking taylor expansion of -1 in ky
6.856 * [backup-simplify]: Simplify -1 into -1
6.856 * [taylor]: Taking taylor expansion of ky in ky
6.856 * [backup-simplify]: Simplify 0 into 0
6.856 * [backup-simplify]: Simplify 1 into 1
6.856 * [backup-simplify]: Simplify (/ -1 1) into -1
6.856 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
6.856 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
6.856 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
6.856 * [taylor]: Taking taylor expansion of -1 in ky
6.856 * [backup-simplify]: Simplify -1 into -1
6.856 * [taylor]: Taking taylor expansion of ky in ky
6.856 * [backup-simplify]: Simplify 0 into 0
6.856 * [backup-simplify]: Simplify 1 into 1
6.856 * [backup-simplify]: Simplify (/ -1 1) into -1
6.856 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
6.856 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
6.857 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
6.857 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
6.857 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
6.857 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
6.857 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
6.857 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
6.857 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
6.857 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
6.857 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
6.858 * [backup-simplify]: Simplify (+ 0) into 0
6.858 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
6.858 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
6.859 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.859 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
6.859 * [backup-simplify]: Simplify (+ 0 0) into 0
6.859 * [backup-simplify]: Simplify (+ 0) into 0
6.860 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
6.860 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
6.860 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.861 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
6.861 * [backup-simplify]: Simplify (+ 0 0) into 0
6.861 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
6.861 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
6.862 * [backup-simplify]: Simplify (+ 0 0) into 0
6.862 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
6.862 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
6.863 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
6.863 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
6.863 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
6.863 * [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)))))
6.863 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))) in ky
6.863 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in ky
6.863 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in ky
6.863 * [taylor]: Taking taylor expansion of (/ -1 th) in ky
6.864 * [taylor]: Taking taylor expansion of -1 in ky
6.864 * [backup-simplify]: Simplify -1 into -1
6.864 * [taylor]: Taking taylor expansion of th in ky
6.864 * [backup-simplify]: Simplify th into th
6.864 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
6.864 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
6.864 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
6.864 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
6.864 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
6.864 * [taylor]: Taking taylor expansion of -1 in ky
6.864 * [backup-simplify]: Simplify -1 into -1
6.864 * [taylor]: Taking taylor expansion of ky in ky
6.864 * [backup-simplify]: Simplify 0 into 0
6.864 * [backup-simplify]: Simplify 1 into 1
6.864 * [backup-simplify]: Simplify (/ -1 1) into -1
6.865 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
6.865 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 kx)) (sin (/ -1 ky))) in ky
6.865 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))))
6.865 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))) in ky
6.865 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
6.865 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
6.865 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
6.865 * [taylor]: Taking taylor expansion of -1 in ky
6.865 * [backup-simplify]: Simplify -1 into -1
6.865 * [taylor]: Taking taylor expansion of kx in ky
6.865 * [backup-simplify]: Simplify kx into kx
6.865 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
6.865 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
6.865 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
6.865 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
6.865 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
6.865 * [taylor]: Taking taylor expansion of -1 in ky
6.865 * [backup-simplify]: Simplify -1 into -1
6.865 * [taylor]: Taking taylor expansion of kx in ky
6.865 * [backup-simplify]: Simplify kx into kx
6.865 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
6.865 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
6.866 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
6.866 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
6.866 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
6.866 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
6.866 * [taylor]: Taking taylor expansion of -1 in ky
6.866 * [backup-simplify]: Simplify -1 into -1
6.866 * [taylor]: Taking taylor expansion of ky in ky
6.866 * [backup-simplify]: Simplify 0 into 0
6.866 * [backup-simplify]: Simplify 1 into 1
6.866 * [backup-simplify]: Simplify (/ -1 1) into -1
6.866 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
6.866 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
6.866 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
6.866 * [taylor]: Taking taylor expansion of -1 in ky
6.866 * [backup-simplify]: Simplify -1 into -1
6.867 * [taylor]: Taking taylor expansion of ky in ky
6.867 * [backup-simplify]: Simplify 0 into 0
6.867 * [backup-simplify]: Simplify 1 into 1
6.867 * [backup-simplify]: Simplify (/ -1 1) into -1
6.867 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
6.867 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
6.867 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
6.867 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
6.868 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
6.868 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
6.868 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
6.868 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
6.868 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
6.868 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
6.869 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
6.869 * [backup-simplify]: Simplify (+ 0) into 0
6.870 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
6.870 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
6.871 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.871 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
6.872 * [backup-simplify]: Simplify (+ 0 0) into 0
6.872 * [backup-simplify]: Simplify (+ 0) into 0
6.873 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
6.873 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
6.874 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.874 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
6.874 * [backup-simplify]: Simplify (+ 0 0) into 0
6.875 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
6.875 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
6.875 * [backup-simplify]: Simplify (+ 0 0) into 0
6.876 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
6.876 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
6.876 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
6.876 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
6.876 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
6.877 * [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)))))
6.877 * [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
6.877 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in kx
6.877 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in kx
6.877 * [taylor]: Taking taylor expansion of (/ -1 th) in kx
6.877 * [taylor]: Taking taylor expansion of -1 in kx
6.877 * [backup-simplify]: Simplify -1 into -1
6.877 * [taylor]: Taking taylor expansion of th in kx
6.877 * [backup-simplify]: Simplify th into th
6.877 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
6.877 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
6.877 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
6.877 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
6.877 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
6.877 * [taylor]: Taking taylor expansion of -1 in kx
6.877 * [backup-simplify]: Simplify -1 into -1
6.877 * [taylor]: Taking taylor expansion of ky in kx
6.877 * [backup-simplify]: Simplify ky into ky
6.877 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
6.877 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
6.877 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
6.877 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in kx
6.877 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx
6.877 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx
6.877 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx
6.877 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
6.877 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
6.877 * [taylor]: Taking taylor expansion of -1 in kx
6.877 * [backup-simplify]: Simplify -1 into -1
6.877 * [taylor]: Taking taylor expansion of kx in kx
6.877 * [backup-simplify]: Simplify 0 into 0
6.877 * [backup-simplify]: Simplify 1 into 1
6.878 * [backup-simplify]: Simplify (/ -1 1) into -1
6.878 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
6.878 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx
6.878 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
6.878 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
6.878 * [taylor]: Taking taylor expansion of -1 in kx
6.878 * [backup-simplify]: Simplify -1 into -1
6.878 * [taylor]: Taking taylor expansion of ky in kx
6.878 * [backup-simplify]: Simplify ky into ky
6.878 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
6.878 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
6.878 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
6.878 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
6.878 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
6.878 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
6.878 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
6.878 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
6.879 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
6.879 * [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)))
6.879 * [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))))
6.879 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
6.879 * [backup-simplify]: Simplify (+ 0) into 0
6.880 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
6.880 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
6.880 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.881 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
6.881 * [backup-simplify]: Simplify (+ 0 0) into 0
6.881 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
6.881 * [backup-simplify]: Simplify (+ 0 0) into 0
6.882 * [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
6.882 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
6.882 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
6.882 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
6.882 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
6.882 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
6.882 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
6.882 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
6.882 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
6.883 * [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)))))
6.883 * [taylor]: Taking taylor expansion of (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) in th
6.883 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in th
6.883 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in th
6.883 * [taylor]: Taking taylor expansion of (/ -1 th) in th
6.883 * [taylor]: Taking taylor expansion of -1 in th
6.883 * [backup-simplify]: Simplify -1 into -1
6.883 * [taylor]: Taking taylor expansion of th in th
6.883 * [backup-simplify]: Simplify 0 into 0
6.883 * [backup-simplify]: Simplify 1 into 1
6.883 * [backup-simplify]: Simplify (/ -1 1) into -1
6.883 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
6.883 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
6.883 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
6.883 * [taylor]: Taking taylor expansion of -1 in th
6.883 * [backup-simplify]: Simplify -1 into -1
6.883 * [taylor]: Taking taylor expansion of ky in th
6.883 * [backup-simplify]: Simplify ky into ky
6.883 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
6.883 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
6.883 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
6.883 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in th
6.883 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in th
6.883 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in th
6.884 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in th
6.884 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in th
6.884 * [taylor]: Taking taylor expansion of (/ -1 kx) in th
6.884 * [taylor]: Taking taylor expansion of -1 in th
6.884 * [backup-simplify]: Simplify -1 into -1
6.884 * [taylor]: Taking taylor expansion of kx in th
6.884 * [backup-simplify]: Simplify kx into kx
6.884 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
6.884 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
6.884 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
6.884 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
6.884 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
6.884 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
6.884 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in th
6.884 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
6.884 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
6.884 * [taylor]: Taking taylor expansion of -1 in th
6.884 * [backup-simplify]: Simplify -1 into -1
6.884 * [taylor]: Taking taylor expansion of ky in th
6.884 * [backup-simplify]: Simplify ky into ky
6.884 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
6.884 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
6.884 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
6.884 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
6.884 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
6.884 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
6.884 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
6.885 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
6.885 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
6.885 * [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)))
6.885 * [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))))
6.886 * [backup-simplify]: Simplify (+ 0) into 0
6.886 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
6.886 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
6.886 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.887 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
6.887 * [backup-simplify]: Simplify (+ 0 0) into 0
6.887 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
6.887 * [backup-simplify]: Simplify (+ 0) into 0
6.888 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
6.888 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
6.888 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.889 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
6.889 * [backup-simplify]: Simplify (+ 0 0) into 0
6.889 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
6.889 * [backup-simplify]: Simplify (+ 0 0) into 0
6.890 * [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
6.890 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
6.890 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
6.890 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
6.890 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
6.890 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
6.891 * [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)))))
6.891 * [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)))))
6.891 * [backup-simplify]: Simplify (+ 0) into 0
6.892 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 1)) into 0
6.892 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
6.892 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.893 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 0)) into 0
6.893 * [backup-simplify]: Simplify (+ 0 0) into 0
6.893 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 (sin (/ -1 ky)))) into 0
6.894 * [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
6.894 * [taylor]: Taking taylor expansion of 0 in kx
6.894 * [backup-simplify]: Simplify 0 into 0
6.894 * [taylor]: Taking taylor expansion of 0 in th
6.894 * [backup-simplify]: Simplify 0 into 0
6.894 * [backup-simplify]: Simplify 0 into 0
6.894 * [backup-simplify]: Simplify (+ 0) into 0
6.894 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
6.895 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
6.895 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.895 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
6.896 * [backup-simplify]: Simplify (+ 0 0) into 0
6.896 * [backup-simplify]: Simplify (+ 0) into 0
6.896 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 1)) into 0
6.896 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
6.897 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.897 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 0)) into 0
6.897 * [backup-simplify]: Simplify (+ 0 0) into 0
6.897 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 (sin (/ -1 ky)))) into 0
6.898 * [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
6.898 * [taylor]: Taking taylor expansion of 0 in th
6.898 * [backup-simplify]: Simplify 0 into 0
6.898 * [backup-simplify]: Simplify 0 into 0
6.898 * [backup-simplify]: Simplify (+ 0) into 0
6.899 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
6.899 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
6.899 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.899 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
6.900 * [backup-simplify]: Simplify (+ 0 0) into 0
6.900 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 (sin (/ -1 ky)))) into 0
6.900 * [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
6.900 * [backup-simplify]: Simplify 0 into 0
6.901 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.901 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
6.901 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
6.902 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.902 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
6.903 * [backup-simplify]: Simplify (+ 0 0) into 0
6.903 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
6.904 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.904 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
6.904 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
6.905 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.906 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
6.906 * [backup-simplify]: Simplify (+ 0 0) into 0
6.907 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.908 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
6.908 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
6.909 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.909 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
6.910 * [backup-simplify]: Simplify (+ 0 0) into 0
6.910 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
6.911 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
6.911 * [backup-simplify]: Simplify (+ 0 0) into 0
6.912 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
6.914 * [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
6.914 * [taylor]: Taking taylor expansion of 0 in kx
6.914 * [backup-simplify]: Simplify 0 into 0
6.914 * [taylor]: Taking taylor expansion of 0 in th
6.914 * [backup-simplify]: Simplify 0 into 0
6.914 * [backup-simplify]: Simplify 0 into 0
6.915 * [taylor]: Taking taylor expansion of 0 in th
6.915 * [backup-simplify]: Simplify 0 into 0
6.915 * [backup-simplify]: Simplify 0 into 0
6.915 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
6.916 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.917 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
6.917 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
6.918 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.919 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
6.919 * [backup-simplify]: Simplify (+ 0 0) into 0
6.920 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
6.920 * [backup-simplify]: Simplify (+ 0 0) into 0
6.921 * [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
6.922 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
6.923 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.924 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
6.924 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
6.925 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.925 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
6.925 * [backup-simplify]: Simplify (+ 0 0) into 0
6.926 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.926 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
6.926 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
6.927 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.927 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
6.927 * [backup-simplify]: Simplify (+ 0 0) into 0
6.928 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
6.928 * [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
6.928 * [taylor]: Taking taylor expansion of 0 in th
6.928 * [backup-simplify]: Simplify 0 into 0
6.928 * [backup-simplify]: Simplify 0 into 0
6.929 * [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)))
6.929 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 2)
6.929 * [backup-simplify]: Simplify (hypot (sin kx) (sin ky)) into (hypot (sin kx) (sin ky))
6.929 * [approximate]: Taking taylor expansion of (hypot (sin kx) (sin ky)) in (kx ky) around 0
6.929 * [taylor]: Taking taylor expansion of (hypot (sin kx) (sin ky)) in ky
6.929 * [taylor]: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
6.929 * [taylor]: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in ky
6.929 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
6.929 * [taylor]: Taking taylor expansion of (sin kx) in ky
6.929 * [taylor]: Taking taylor expansion of kx in ky
6.929 * [backup-simplify]: Simplify kx into kx
6.929 * [backup-simplify]: Simplify (sin kx) into (sin kx)
6.929 * [backup-simplify]: Simplify (cos kx) into (cos kx)
6.929 * [taylor]: Taking taylor expansion of (sin kx) in ky
6.929 * [taylor]: Taking taylor expansion of kx in ky
6.929 * [backup-simplify]: Simplify kx into kx
6.929 * [backup-simplify]: Simplify (sin kx) into (sin kx)
6.929 * [backup-simplify]: Simplify (cos kx) into (cos kx)
6.929 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
6.929 * [taylor]: Taking taylor expansion of (sin ky) in ky
6.929 * [taylor]: Taking taylor expansion of ky in ky
6.929 * [backup-simplify]: Simplify 0 into 0
6.929 * [backup-simplify]: Simplify 1 into 1
6.930 * [taylor]: Taking taylor expansion of (sin ky) in ky
6.930 * [taylor]: Taking taylor expansion of ky in ky
6.930 * [backup-simplify]: Simplify 0 into 0
6.930 * [backup-simplify]: Simplify 1 into 1
6.930 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
6.930 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
6.930 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
6.930 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
6.930 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
6.930 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
6.930 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
6.930 * [backup-simplify]: Simplify (* 0 0) into 0
6.930 * [backup-simplify]: Simplify (+ (pow (sin kx) 2) 0) into (pow (sin kx) 2)
6.930 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
6.931 * [backup-simplify]: Simplify (+ 0) into 0
6.931 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
6.931 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.932 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
6.932 * [backup-simplify]: Simplify (+ 0 0) into 0
6.932 * [backup-simplify]: Simplify (+ 0) into 0
6.933 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
6.933 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.933 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
6.933 * [backup-simplify]: Simplify (+ 0 0) into 0
6.934 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
6.934 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
6.934 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
6.935 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.935 * [backup-simplify]: Simplify (+ 0 0) into 0
6.935 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
6.935 * [taylor]: Taking taylor expansion of (hypot (sin kx) (sin ky)) in kx
6.935 * [taylor]: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
6.935 * [taylor]: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in kx
6.935 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in kx
6.935 * [taylor]: Taking taylor expansion of (sin kx) in kx
6.935 * [taylor]: Taking taylor expansion of kx in kx
6.935 * [backup-simplify]: Simplify 0 into 0
6.935 * [backup-simplify]: Simplify 1 into 1
6.935 * [taylor]: Taking taylor expansion of (sin kx) in kx
6.935 * [taylor]: Taking taylor expansion of kx in kx
6.935 * [backup-simplify]: Simplify 0 into 0
6.935 * [backup-simplify]: Simplify 1 into 1
6.936 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in kx
6.936 * [taylor]: Taking taylor expansion of (sin ky) in kx
6.936 * [taylor]: Taking taylor expansion of ky in kx
6.936 * [backup-simplify]: Simplify ky into ky
6.936 * [backup-simplify]: Simplify (sin ky) into (sin ky)
6.936 * [backup-simplify]: Simplify (cos ky) into (cos ky)
6.936 * [taylor]: Taking taylor expansion of (sin ky) in kx
6.936 * [taylor]: Taking taylor expansion of ky in kx
6.936 * [backup-simplify]: Simplify ky into ky
6.936 * [backup-simplify]: Simplify (sin ky) into (sin ky)
6.936 * [backup-simplify]: Simplify (cos ky) into (cos ky)
6.936 * [backup-simplify]: Simplify (* 0 0) into 0
6.936 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
6.936 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
6.936 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
6.936 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
6.936 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
6.936 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
6.936 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
6.936 * [backup-simplify]: Simplify (+ 0 (pow (sin ky) 2)) into (pow (sin ky) 2)
6.937 * [backup-simplify]: Simplify (sqrt (pow (sin ky) 2)) into (sin ky)
6.937 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
6.937 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
6.938 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.938 * [backup-simplify]: Simplify (+ 0) into 0
6.939 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
6.939 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.939 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
6.940 * [backup-simplify]: Simplify (+ 0 0) into 0
6.940 * [backup-simplify]: Simplify (+ 0) into 0
6.940 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
6.941 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.941 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
6.941 * [backup-simplify]: Simplify (+ 0 0) into 0
6.941 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
6.941 * [backup-simplify]: Simplify (+ 0 0) into 0
6.942 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin ky) 2)))) into 0
6.942 * [taylor]: Taking taylor expansion of (hypot (sin kx) (sin ky)) in kx
6.942 * [taylor]: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
6.942 * [taylor]: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in kx
6.942 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in kx
6.942 * [taylor]: Taking taylor expansion of (sin kx) in kx
6.942 * [taylor]: Taking taylor expansion of kx in kx
6.942 * [backup-simplify]: Simplify 0 into 0
6.942 * [backup-simplify]: Simplify 1 into 1
6.942 * [taylor]: Taking taylor expansion of (sin kx) in kx
6.942 * [taylor]: Taking taylor expansion of kx in kx
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) (sin ky)) in kx
6.942 * [taylor]: Taking taylor expansion of (sin ky) in kx
6.942 * [taylor]: Taking taylor expansion of ky in kx
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 kx
6.942 * [taylor]: Taking taylor expansion of ky in kx
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 * [backup-simplify]: Simplify (* 0 0) into 0
6.942 * [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 (+ 0 (pow (sin ky) 2)) into (pow (sin ky) 2)
6.943 * [backup-simplify]: Simplify (sqrt (pow (sin ky) 2)) into (sin ky)
6.943 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
6.944 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
6.944 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.944 * [backup-simplify]: Simplify (+ 0) into 0
6.945 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
6.945 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.946 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
6.946 * [backup-simplify]: Simplify (+ 0 0) into 0
6.946 * [backup-simplify]: Simplify (+ 0) into 0
6.946 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
6.947 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.947 * [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
6.948 * [backup-simplify]: Simplify (+ 0 0) into 0
6.948 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin ky) 2)))) into 0
6.948 * [taylor]: Taking taylor expansion of (sin ky) in ky
6.948 * [taylor]: Taking taylor expansion of ky in ky
6.948 * [backup-simplify]: Simplify 0 into 0
6.948 * [backup-simplify]: Simplify 1 into 1
6.948 * [backup-simplify]: Simplify 0 into 0
6.948 * [taylor]: Taking taylor expansion of 0 in ky
6.948 * [backup-simplify]: Simplify 0 into 0
6.948 * [backup-simplify]: Simplify 0 into 0
6.949 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
6.949 * [backup-simplify]: Simplify 1 into 1
6.949 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.950 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.950 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
6.951 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.951 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 1))) into 0
6.951 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.953 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (* 0 0))) into 0
6.954 * [backup-simplify]: Simplify (+ 0 0) into 0
6.955 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.956 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 1))) into 0
6.956 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.957 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (* 0 0))) into 0
6.957 * [backup-simplify]: Simplify (+ 0 0) into 0
6.958 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 (sin ky)))) into 0
6.958 * [backup-simplify]: Simplify (+ 1 0) into 1
6.959 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sin ky))) into (/ 1/2 (sin ky))
6.959 * [taylor]: Taking taylor expansion of (/ 1/2 (sin ky)) in ky
6.959 * [taylor]: Taking taylor expansion of 1/2 in ky
6.959 * [backup-simplify]: Simplify 1/2 into 1/2
6.959 * [taylor]: Taking taylor expansion of (sin ky) in ky
6.959 * [taylor]: Taking taylor expansion of ky in ky
6.959 * [backup-simplify]: Simplify 0 into 0
6.959 * [backup-simplify]: Simplify 1 into 1
6.960 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
6.960 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.961 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.962 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.962 * [backup-simplify]: Simplify 0 into 0
6.962 * [backup-simplify]: Simplify 0 into 0
6.963 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.963 * [backup-simplify]: Simplify 0 into 0
6.965 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
6.966 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
6.968 * [backup-simplify]: Simplify (+ (* 0 -1/6) (+ (* 1 0) (+ (* 0 1) (* -1/6 0)))) into 0
6.969 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
6.970 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.971 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
6.972 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
6.972 * [backup-simplify]: Simplify (+ 0 0) into 0
6.973 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
6.974 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.976 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
6.976 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
6.977 * [backup-simplify]: Simplify (+ 0 0) into 0
6.978 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin ky))))) into 0
6.978 * [backup-simplify]: Simplify (+ 0 0) into 0
6.978 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sin ky)))))) (* 2 (sin ky))) into 0
6.978 * [taylor]: Taking taylor expansion of 0 in ky
6.978 * [backup-simplify]: Simplify 0 into 0
6.978 * [backup-simplify]: Simplify 0 into 0
6.980 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
6.982 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/12
6.982 * [backup-simplify]: Simplify 1/12 into 1/12
6.982 * [backup-simplify]: Simplify 0 into 0
6.983 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
6.983 * [backup-simplify]: Simplify -1/6 into -1/6
6.984 * [backup-simplify]: Simplify (+ (* -1/6 (pow (* ky 1) 3)) (+ (* 1/12 (* ky (pow kx 2))) (* 1 (* ky 1)))) into (- (+ (* 1/12 (* (pow kx 2) ky)) ky) (* 1/6 (pow ky 3)))
6.984 * [backup-simplify]: Simplify (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) into (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))
6.984 * [approximate]: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in (kx ky) around 0
6.984 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in ky
6.984 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))))
6.985 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in ky
6.985 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
6.985 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
6.985 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
6.985 * [taylor]: Taking taylor expansion of kx in ky
6.985 * [backup-simplify]: Simplify kx into kx
6.985 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
6.985 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
6.985 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
6.985 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
6.985 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
6.985 * [taylor]: Taking taylor expansion of kx in ky
6.985 * [backup-simplify]: Simplify kx into kx
6.985 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
6.985 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
6.985 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
6.985 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
6.985 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
6.985 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
6.985 * [taylor]: Taking taylor expansion of ky in ky
6.985 * [backup-simplify]: Simplify 0 into 0
6.985 * [backup-simplify]: Simplify 1 into 1
6.986 * [backup-simplify]: Simplify (/ 1 1) into 1
6.986 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
6.986 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
6.986 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
6.986 * [taylor]: Taking taylor expansion of ky in ky
6.986 * [backup-simplify]: Simplify 0 into 0
6.986 * [backup-simplify]: Simplify 1 into 1
6.986 * [backup-simplify]: Simplify (/ 1 1) into 1
6.987 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
6.987 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
6.987 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
6.987 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
6.987 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
6.987 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
6.987 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
6.987 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
6.988 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
6.988 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
6.989 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
6.989 * [backup-simplify]: Simplify (+ 0) into 0
6.990 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
6.990 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
6.991 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.991 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
6.992 * [backup-simplify]: Simplify (+ 0 0) into 0
6.992 * [backup-simplify]: Simplify (+ 0) into 0
6.993 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
6.993 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
6.993 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.994 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
6.994 * [backup-simplify]: Simplify (+ 0 0) into 0
6.995 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
6.995 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
6.995 * [backup-simplify]: Simplify (+ 0 0) into 0
6.996 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
6.996 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in kx
6.996 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))))
6.996 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in kx
6.996 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in kx
6.996 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
6.996 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
6.996 * [taylor]: Taking taylor expansion of kx in kx
6.996 * [backup-simplify]: Simplify 0 into 0
6.996 * [backup-simplify]: Simplify 1 into 1
6.997 * [backup-simplify]: Simplify (/ 1 1) into 1
6.997 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
6.997 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
6.997 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
6.997 * [taylor]: Taking taylor expansion of kx in kx
6.997 * [backup-simplify]: Simplify 0 into 0
6.997 * [backup-simplify]: Simplify 1 into 1
6.997 * [backup-simplify]: Simplify (/ 1 1) into 1
6.997 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
6.997 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in kx
6.997 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
6.997 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
6.997 * [taylor]: Taking taylor expansion of ky in kx
6.998 * [backup-simplify]: Simplify ky into ky
6.998 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
6.998 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
6.998 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
6.998 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
6.998 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
6.998 * [taylor]: Taking taylor expansion of ky in kx
6.998 * [backup-simplify]: Simplify ky into ky
6.998 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
6.998 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
6.998 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
6.998 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
6.998 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
6.998 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
6.999 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
6.999 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
6.999 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
6.999 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
6.999 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
6.999 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
7.000 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
7.000 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
7.000 * [backup-simplify]: Simplify (+ 0) into 0
7.001 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
7.001 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
7.002 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.002 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
7.003 * [backup-simplify]: Simplify (+ 0 0) into 0
7.003 * [backup-simplify]: Simplify (+ 0) into 0
7.004 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
7.004 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
7.005 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.005 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
7.006 * [backup-simplify]: Simplify (+ 0 0) into 0
7.006 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
7.006 * [backup-simplify]: Simplify (+ 0 0) into 0
7.007 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
7.007 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in kx
7.007 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))))
7.007 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in kx
7.007 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in kx
7.007 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
7.007 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
7.007 * [taylor]: Taking taylor expansion of kx in kx
7.007 * [backup-simplify]: Simplify 0 into 0
7.007 * [backup-simplify]: Simplify 1 into 1
7.008 * [backup-simplify]: Simplify (/ 1 1) into 1
7.008 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
7.008 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
7.008 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
7.008 * [taylor]: Taking taylor expansion of kx in kx
7.008 * [backup-simplify]: Simplify 0 into 0
7.008 * [backup-simplify]: Simplify 1 into 1
7.008 * [backup-simplify]: Simplify (/ 1 1) into 1
7.008 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
7.008 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in kx
7.008 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
7.008 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
7.008 * [taylor]: Taking taylor expansion of ky in kx
7.008 * [backup-simplify]: Simplify ky into ky
7.008 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
7.009 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.009 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
7.009 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
7.009 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
7.009 * [taylor]: Taking taylor expansion of ky in kx
7.009 * [backup-simplify]: Simplify ky into ky
7.009 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
7.009 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.009 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
7.009 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
7.009 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
7.009 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
7.009 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
7.010 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
7.010 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
7.010 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
7.010 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
7.010 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
7.011 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
7.011 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
7.011 * [backup-simplify]: Simplify (+ 0) into 0
7.012 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
7.012 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
7.013 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.013 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
7.014 * [backup-simplify]: Simplify (+ 0 0) into 0
7.014 * [backup-simplify]: Simplify (+ 0) into 0
7.015 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
7.015 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
7.016 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.016 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
7.017 * [backup-simplify]: Simplify (+ 0 0) into 0
7.017 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
7.017 * [backup-simplify]: Simplify (+ 0 0) into 0
7.018 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
7.018 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in ky
7.018 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in ky
7.018 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in ky
7.018 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
7.018 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
7.018 * [taylor]: Taking taylor expansion of kx in ky
7.018 * [backup-simplify]: Simplify kx into kx
7.018 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
7.018 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
7.018 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
7.018 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
7.018 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
7.019 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
7.019 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in ky
7.019 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
7.019 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
7.019 * [taylor]: Taking taylor expansion of ky in ky
7.019 * [backup-simplify]: Simplify 0 into 0
7.019 * [backup-simplify]: Simplify 1 into 1
7.019 * [backup-simplify]: Simplify (/ 1 1) into 1
7.019 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.019 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
7.020 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
7.020 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
7.020 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
7.021 * [backup-simplify]: Simplify (+ 0) into 0
7.021 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
7.022 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
7.022 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.023 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
7.023 * [backup-simplify]: Simplify (+ 0 0) into 0
7.023 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
7.024 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
7.024 * [backup-simplify]: Simplify (+ 0 0) into 0
7.025 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
7.025 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
7.025 * [taylor]: Taking taylor expansion of 0 in ky
7.025 * [backup-simplify]: Simplify 0 into 0
7.025 * [backup-simplify]: Simplify 0 into 0
7.025 * [backup-simplify]: Simplify 0 into 0
7.026 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
7.027 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.027 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
7.028 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
7.028 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.029 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
7.029 * [backup-simplify]: Simplify (+ 0 0) into 0
7.030 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.031 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
7.031 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
7.032 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.033 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
7.033 * [backup-simplify]: Simplify (+ 0 0) into 0
7.033 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
7.034 * [backup-simplify]: Simplify (+ 0 0) into 0
7.035 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
7.035 * [taylor]: Taking taylor expansion of 0 in ky
7.035 * [backup-simplify]: Simplify 0 into 0
7.035 * [backup-simplify]: Simplify 0 into 0
7.035 * [backup-simplify]: Simplify 0 into 0
7.036 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.037 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
7.037 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
7.038 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.038 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
7.039 * [backup-simplify]: Simplify (+ 0 0) into 0
7.039 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
7.040 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
7.040 * [backup-simplify]: Simplify (+ 0 0) into 0
7.041 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
7.041 * [backup-simplify]: Simplify 0 into 0
7.042 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 kx)))))) into 0
7.043 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.044 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.044 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
7.046 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
7.047 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
7.047 * [backup-simplify]: Simplify (+ 0 0) into 0
7.048 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.049 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.050 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
7.051 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
7.052 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
7.052 * [backup-simplify]: Simplify (+ 0 0) into 0
7.053 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 ky)))))) into 0
7.054 * [backup-simplify]: Simplify (+ 0 0) into 0
7.055 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
7.055 * [taylor]: Taking taylor expansion of 0 in ky
7.055 * [backup-simplify]: Simplify 0 into 0
7.055 * [backup-simplify]: Simplify 0 into 0
7.056 * [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)))
7.056 * [backup-simplify]: Simplify (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky)))) into (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))
7.056 * [approximate]: Taking taylor expansion of (hypot (sin (/ -1 kx)) (sin (/ -1 ky))) in (kx ky) around 0
7.056 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 kx)) (sin (/ -1 ky))) in ky
7.056 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))))
7.056 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))) in ky
7.056 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
7.056 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
7.056 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
7.056 * [taylor]: Taking taylor expansion of -1 in ky
7.056 * [backup-simplify]: Simplify -1 into -1
7.056 * [taylor]: Taking taylor expansion of kx in ky
7.056 * [backup-simplify]: Simplify kx into kx
7.056 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
7.056 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
7.056 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
7.056 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
7.057 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
7.057 * [taylor]: Taking taylor expansion of -1 in ky
7.057 * [backup-simplify]: Simplify -1 into -1
7.057 * [taylor]: Taking taylor expansion of kx in ky
7.057 * [backup-simplify]: Simplify kx into kx
7.057 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
7.057 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
7.057 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
7.057 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
7.057 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
7.057 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
7.057 * [taylor]: Taking taylor expansion of -1 in ky
7.057 * [backup-simplify]: Simplify -1 into -1
7.057 * [taylor]: Taking taylor expansion of ky in ky
7.057 * [backup-simplify]: Simplify 0 into 0
7.057 * [backup-simplify]: Simplify 1 into 1
7.058 * [backup-simplify]: Simplify (/ -1 1) into -1
7.058 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.058 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
7.058 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
7.058 * [taylor]: Taking taylor expansion of -1 in ky
7.058 * [backup-simplify]: Simplify -1 into -1
7.058 * [taylor]: Taking taylor expansion of ky in ky
7.058 * [backup-simplify]: Simplify 0 into 0
7.058 * [backup-simplify]: Simplify 1 into 1
7.058 * [backup-simplify]: Simplify (/ -1 1) into -1
7.059 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.059 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
7.059 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
7.059 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
7.059 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
7.059 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
7.059 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
7.059 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
7.060 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
7.060 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
7.060 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
7.061 * [backup-simplify]: Simplify (+ 0) into 0
7.061 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
7.062 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
7.062 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.063 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
7.063 * [backup-simplify]: Simplify (+ 0 0) into 0
7.064 * [backup-simplify]: Simplify (+ 0) into 0
7.064 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
7.064 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
7.065 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.066 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
7.066 * [backup-simplify]: Simplify (+ 0 0) into 0
7.066 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
7.067 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
7.067 * [backup-simplify]: Simplify (+ 0 0) into 0
7.067 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
7.068 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 kx)) (sin (/ -1 ky))) in kx
7.068 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))))
7.068 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))) in kx
7.068 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in kx
7.068 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
7.068 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
7.068 * [taylor]: Taking taylor expansion of -1 in kx
7.068 * [backup-simplify]: Simplify -1 into -1
7.068 * [taylor]: Taking taylor expansion of kx in kx
7.068 * [backup-simplify]: Simplify 0 into 0
7.068 * [backup-simplify]: Simplify 1 into 1
7.068 * [backup-simplify]: Simplify (/ -1 1) into -1
7.069 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
7.069 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
7.069 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
7.069 * [taylor]: Taking taylor expansion of -1 in kx
7.069 * [backup-simplify]: Simplify -1 into -1
7.069 * [taylor]: Taking taylor expansion of kx in kx
7.069 * [backup-simplify]: Simplify 0 into 0
7.069 * [backup-simplify]: Simplify 1 into 1
7.069 * [backup-simplify]: Simplify (/ -1 1) into -1
7.069 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
7.069 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in kx
7.069 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
7.069 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
7.069 * [taylor]: Taking taylor expansion of -1 in kx
7.069 * [backup-simplify]: Simplify -1 into -1
7.069 * [taylor]: Taking taylor expansion of ky in kx
7.069 * [backup-simplify]: Simplify ky into ky
7.069 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
7.070 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.070 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
7.070 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
7.070 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
7.070 * [taylor]: Taking taylor expansion of -1 in kx
7.070 * [backup-simplify]: Simplify -1 into -1
7.070 * [taylor]: Taking taylor expansion of ky in kx
7.070 * [backup-simplify]: Simplify ky into ky
7.070 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
7.070 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.070 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
7.070 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
7.070 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
7.070 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
7.071 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
7.071 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
7.071 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
7.071 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
7.071 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
7.071 * [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 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
7.072 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
7.072 * [backup-simplify]: Simplify (+ 0) into 0
7.073 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
7.073 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
7.074 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.074 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
7.075 * [backup-simplify]: Simplify (+ 0 0) into 0
7.075 * [backup-simplify]: Simplify (+ 0) into 0
7.076 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
7.076 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
7.076 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.077 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
7.077 * [backup-simplify]: Simplify (+ 0 0) into 0
7.077 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
7.077 * [backup-simplify]: Simplify (+ 0 0) into 0
7.078 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
7.078 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 kx)) (sin (/ -1 ky))) in kx
7.078 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))))
7.078 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))) in kx
7.078 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in kx
7.078 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
7.078 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
7.078 * [taylor]: Taking taylor expansion of -1 in kx
7.078 * [backup-simplify]: Simplify -1 into -1
7.078 * [taylor]: Taking taylor expansion of kx in kx
7.078 * [backup-simplify]: Simplify 0 into 0
7.078 * [backup-simplify]: Simplify 1 into 1
7.078 * [backup-simplify]: Simplify (/ -1 1) into -1
7.078 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
7.078 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
7.078 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
7.078 * [taylor]: Taking taylor expansion of -1 in kx
7.078 * [backup-simplify]: Simplify -1 into -1
7.078 * [taylor]: Taking taylor expansion of kx in kx
7.078 * [backup-simplify]: Simplify 0 into 0
7.078 * [backup-simplify]: Simplify 1 into 1
7.079 * [backup-simplify]: Simplify (/ -1 1) into -1
7.079 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
7.079 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in kx
7.079 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
7.079 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
7.079 * [taylor]: Taking taylor expansion of -1 in kx
7.079 * [backup-simplify]: Simplify -1 into -1
7.079 * [taylor]: Taking taylor expansion of ky in kx
7.079 * [backup-simplify]: Simplify ky into ky
7.079 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
7.079 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.079 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
7.079 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
7.079 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
7.079 * [taylor]: Taking taylor expansion of -1 in kx
7.079 * [backup-simplify]: Simplify -1 into -1
7.079 * [taylor]: Taking taylor expansion of ky in kx
7.079 * [backup-simplify]: Simplify ky into ky
7.079 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
7.079 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.079 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
7.079 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
7.079 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
7.079 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
7.079 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
7.079 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
7.080 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
7.080 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
7.080 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
7.080 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
7.080 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
7.080 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
7.081 * [backup-simplify]: Simplify (+ 0) into 0
7.081 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
7.081 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
7.081 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.082 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
7.082 * [backup-simplify]: Simplify (+ 0 0) into 0
7.082 * [backup-simplify]: Simplify (+ 0) into 0
7.083 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
7.083 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
7.083 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.084 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
7.084 * [backup-simplify]: Simplify (+ 0 0) into 0
7.084 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
7.084 * [backup-simplify]: Simplify (+ 0 0) into 0
7.084 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
7.084 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in ky
7.084 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in ky
7.085 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in ky
7.085 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
7.085 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
7.085 * [taylor]: Taking taylor expansion of -1 in ky
7.085 * [backup-simplify]: Simplify -1 into -1
7.085 * [taylor]: Taking taylor expansion of kx in ky
7.085 * [backup-simplify]: Simplify kx into kx
7.085 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
7.085 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
7.085 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
7.085 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
7.085 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
7.085 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
7.085 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in ky
7.085 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
7.085 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
7.085 * [taylor]: Taking taylor expansion of -1 in ky
7.085 * [backup-simplify]: Simplify -1 into -1
7.085 * [taylor]: Taking taylor expansion of ky in ky
7.085 * [backup-simplify]: Simplify 0 into 0
7.085 * [backup-simplify]: Simplify 1 into 1
7.085 * [backup-simplify]: Simplify (/ -1 1) into -1
7.085 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.086 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
7.086 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
7.086 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
7.086 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
7.086 * [backup-simplify]: Simplify (+ 0) into 0
7.087 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
7.087 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
7.087 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.087 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
7.088 * [backup-simplify]: Simplify (+ 0 0) into 0
7.088 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
7.088 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
7.088 * [backup-simplify]: Simplify (+ 0 0) into 0
7.088 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
7.089 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
7.089 * [taylor]: Taking taylor expansion of 0 in ky
7.089 * [backup-simplify]: Simplify 0 into 0
7.089 * [backup-simplify]: Simplify 0 into 0
7.089 * [backup-simplify]: Simplify 0 into 0
7.089 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
7.090 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.090 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
7.090 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
7.091 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.091 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
7.091 * [backup-simplify]: Simplify (+ 0 0) into 0
7.092 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.092 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
7.092 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
7.093 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.093 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
7.094 * [backup-simplify]: Simplify (+ 0 0) into 0
7.094 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
7.094 * [backup-simplify]: Simplify (+ 0 0) into 0
7.095 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
7.095 * [taylor]: Taking taylor expansion of 0 in ky
7.095 * [backup-simplify]: Simplify 0 into 0
7.095 * [backup-simplify]: Simplify 0 into 0
7.095 * [backup-simplify]: Simplify 0 into 0
7.096 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.096 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
7.096 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
7.097 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.097 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
7.098 * [backup-simplify]: Simplify (+ 0 0) into 0
7.098 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
7.099 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
7.100 * [backup-simplify]: Simplify (+ 0 0) into 0
7.101 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
7.101 * [backup-simplify]: Simplify 0 into 0
7.102 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 kx)))))) into 0
7.105 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.106 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.106 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
7.108 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
7.108 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
7.109 * [backup-simplify]: Simplify (+ 0 0) into 0
7.110 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.111 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.111 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
7.113 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
7.113 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
7.114 * [backup-simplify]: Simplify (+ 0 0) into 0
7.115 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 ky)))))) into 0
7.115 * [backup-simplify]: Simplify (+ 0 0) into 0
7.116 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
7.116 * [taylor]: Taking taylor expansion of 0 in ky
7.116 * [backup-simplify]: Simplify 0 into 0
7.116 * [backup-simplify]: Simplify 0 into 0
7.117 * [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)))
7.117 * * * [progress]: simplifying candidates
7.119 * [simplify]: Simplifying:
  (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))
  (log1p (/ (sin ky) (hypot (sin kx) (sin ky))))
  (- (log (sin ky)) (log (hypot (sin kx) (sin ky))))
  (log (/ (sin ky) (hypot (sin kx) (sin ky))))
  (exp (/ (sin ky) (hypot (sin kx) (sin ky))))
  (/ (* (* (sin ky) (sin ky)) (sin ky)) (* (* (hypot (sin kx) (sin ky)) (hypot (sin kx) (sin ky))) (hypot (sin kx) (sin ky))))
  (* (cbrt (/ (sin ky) (hypot (sin kx) (sin ky)))) (cbrt (/ (sin ky) (hypot (sin kx) (sin ky)))))
  (cbrt (/ (sin ky) (hypot (sin kx) (sin ky))))
  (* (* (/ (sin ky) (hypot (sin kx) (sin ky))) (/ (sin ky) (hypot (sin kx) (sin ky)))) (/ (sin ky) (hypot (sin kx) (sin ky))))
  (sqrt (/ (sin ky) (hypot (sin kx) (sin ky))))
  (sqrt (/ (sin ky) (hypot (sin kx) (sin ky))))
  (- (sin ky))
  (- (hypot (sin kx) (sin ky)))
  (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky)))))
  (/ (cbrt (sin ky)) (cbrt (hypot (sin kx) (sin ky))))
  (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (hypot (sin kx) (sin ky))))
  (/ (cbrt (sin ky)) (sqrt (hypot (sin kx) (sin ky))))
  (/ (* (cbrt (sin ky)) (cbrt (sin ky))) 1)
  (/ (cbrt (sin ky)) (hypot (sin kx) (sin ky)))
  (/ (sqrt (sin ky)) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky)))))
  (/ (sqrt (sin ky)) (cbrt (hypot (sin kx) (sin ky))))
  (/ (sqrt (sin ky)) (sqrt (hypot (sin kx) (sin ky))))
  (/ (sqrt (sin ky)) (sqrt (hypot (sin kx) (sin ky))))
  (/ (sqrt (sin ky)) 1)
  (/ (sqrt (sin ky)) (hypot (sin kx) (sin ky)))
  (/ 1 (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky)))))
  (/ (sin ky) (cbrt (hypot (sin kx) (sin ky))))
  (/ 1 (sqrt (hypot (sin kx) (sin ky))))
  (/ (sin ky) (sqrt (hypot (sin kx) (sin ky))))
  (/ 1 1)
  (/ (sin ky) (hypot (sin kx) (sin ky)))
  (/ 1 (hypot (sin kx) (sin ky)))
  (/ (hypot (sin kx) (sin ky)) (sin ky))
  (/ (sin ky) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky)))))
  (/ (sin ky) (sqrt (hypot (sin kx) (sin ky))))
  (/ (sin ky) 1)
  (/ (hypot (sin kx) (sin ky)) (cbrt (sin ky)))
  (/ (hypot (sin kx) (sin ky)) (sqrt (sin ky)))
  (/ (hypot (sin kx) (sin ky)) (sin ky))
  (expm1 (* (/ (sin ky) (hypot (sin kx) (sin ky))) (sin th)))
  (log1p (* (/ (sin ky) (hypot (sin kx) (sin ky))) (sin th)))
  (* (/ (sin ky) (hypot (sin kx) (sin ky))) (sin th))
  (+ (- (log (sin ky)) (log (hypot (sin kx) (sin ky)))) (log (sin th)))
  (+ (log (/ (sin ky) (hypot (sin kx) (sin ky)))) (log (sin th)))
  (log (* (/ (sin ky) (hypot (sin kx) (sin ky))) (sin th)))
  (exp (* (/ (sin ky) (hypot (sin kx) (sin ky))) (sin th)))
  (* (/ (* (* (sin ky) (sin ky)) (sin ky)) (* (* (hypot (sin kx) (sin ky)) (hypot (sin kx) (sin ky))) (hypot (sin kx) (sin ky)))) (* (* (sin th) (sin th)) (sin th)))
  (* (* (* (/ (sin ky) (hypot (sin kx) (sin ky))) (/ (sin ky) (hypot (sin kx) (sin ky)))) (/ (sin ky) (hypot (sin kx) (sin ky)))) (* (* (sin th) (sin th)) (sin th)))
  (* (cbrt (* (/ (sin ky) (hypot (sin kx) (sin ky))) (sin th))) (cbrt (* (/ (sin ky) (hypot (sin kx) (sin ky))) (sin th))))
  (cbrt (* (/ (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)))
  (sqrt (* (/ (sin ky) (hypot (sin kx) (sin ky))) (sin th)))
  (sqrt (* (/ (sin ky) (hypot (sin kx) (sin ky))) (sin th)))
  (* (sqrt (/ (sin ky) (hypot (sin kx) (sin ky)))) (sqrt (sin th)))
  (* (sqrt (/ (sin ky) (hypot (sin kx) (sin ky)))) (sqrt (sin th)))
  (* (/ (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 ky) (hypot (sin kx) (sin ky))) (* (cbrt (sin th)) (cbrt (sin th))))
  (* (/ (sin ky) (hypot (sin kx) (sin ky))) (sqrt (sin th)))
  (* (/ (sin ky) (hypot (sin kx) (sin ky))) 1)
  (* (cbrt (/ (sin ky) (hypot (sin kx) (sin ky)))) (sin th))
  (* (sqrt (/ (sin ky) (hypot (sin kx) (sin ky)))) (sin th))
  (* (/ (cbrt (sin ky)) (cbrt (hypot (sin kx) (sin ky)))) (sin th))
  (* (/ (cbrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (sin th))
  (* (/ (cbrt (sin ky)) (hypot (sin kx) (sin ky))) (sin th))
  (* (/ (sqrt (sin ky)) (cbrt (hypot (sin kx) (sin ky)))) (sin th))
  (* (/ (sqrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (sin th))
  (* (/ (sqrt (sin ky)) (hypot (sin kx) (sin ky))) (sin th))
  (* (/ (sin ky) (cbrt (hypot (sin kx) (sin ky)))) (sin th))
  (* (/ (sin ky) (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 th))
  (* (/ 1 (hypot (sin kx) (sin ky))) (sin th))
  (* (sin ky) (sin th))
  (expm1 (hypot (sin kx) (sin ky)))
  (log1p (hypot (sin kx) (sin ky)))
  (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))
  (log (hypot (sin kx) (sin ky)))
  (exp (hypot (sin kx) (sin ky)))
  (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))
  (cbrt (hypot (sin kx) (sin ky)))
  (* (* (hypot (sin kx) (sin ky)) (hypot (sin kx) (sin ky))) (hypot (sin kx) (sin ky)))
  (sqrt (hypot (sin kx) (sin ky)))
  (sqrt (hypot (sin kx) (sin ky)))
  (- (+ (* 1/6 (* kx ky)) (* 7/360 (* (pow kx 3) ky))) (* 71/720 (* kx (pow ky 3))))
  (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))
  (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))
  (* 1/6 (* kx (* ky th)))
  (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky)))
  (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky)))
  (- (+ (* 1/12 (* (pow kx 2) ky)) ky) (* 1/6 (pow ky 3)))
  (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))
  (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))
7.121 * * [simplify]: Extracting # 0 : cost  80  inf +  0
7.121 * * [simplify]: Extracting # 1 : cost  107  inf +  0
7.121 * * [simplify]: Extracting # 2 : cost  121  inf +  2
7.122 * * [simplify]: Extracting # 3 : cost  107  inf +  3103
7.123 * * [simplify]: Extracting # 4 : cost  62  inf +  13511
7.125 * * [simplify]: Extracting # 5 : cost  16  inf +  28688
7.127 * * [simplify]: Extracting # 6 : cost  9  inf +  30982
7.129 * * [simplify]: Extracting # 7 : cost  3  inf +  34350
7.131 * * [simplify]: Extracting # 8 : cost  2  inf +  35014
7.133 * * [simplify]: Extracting # 9 : cost  0  inf +  36523
7.136 * * [simplify]: iteration  0 :  132  enodes  (cost  32729 )
7.167 * * [simplify]: Extracting # 0 : cost  0  inf +  36523
7.173 * * [simplify]: Extracting # 1 : cost  54  inf +  32009
7.182 * * [simplify]: Extracting # 2 : cost  3  inf +  45006
7.191 * * [simplify]: Extracting # 3 : cost  0  inf +  43206
7.200 * * [simplify]: Extracting # 4 : cost  0  inf +  42869
7.209 * * [simplify]: iteration  1 :  304  enodes  (cost  29371 )
7.312 * * [simplify]: Extracting # 0 : cost  0  inf +  42869
7.333 * * [simplify]: Extracting # 1 : cost  366  inf +  38336
7.363 * * [simplify]: Extracting # 2 : cost  10  inf +  126234
7.382 * * [simplify]: Extracting # 3 : cost  4  inf +  127131
7.402 * * [simplify]: Extracting # 4 : cost  0  inf +  128486
7.438 * * [simplify]: iteration  2 :  1324  enodes  (cost  28825 )
8.135 * * [simplify]: Extracting # 0 : cost  0  inf +  128486
8.193 * * [simplify]: Extracting # 1 : cost  1316  inf +  83094
8.286 * * [simplify]: Extracting # 2 : cost  95  inf +  438264
8.393 * * [simplify]: Extracting # 3 : cost  24  inf +  449950
8.504 * * [simplify]: Extracting # 4 : cost  0  inf +  457660
8.646 * * [simplify]: Extracting # 5 : cost  0  inf +  457580
8.789 * * [simplify]: iteration done:  5000  enodes  (cost  28746 )
8.790 * [simplify]: Simplified to:
  (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))
  (log1p (/ (sin ky) (hypot (sin kx) (sin ky))))
  (log (/ (sin ky) (hypot (sin kx) (sin ky))))
  (log (/ (sin ky) (hypot (sin kx) (sin ky))))
  (exp (/ (sin ky) (hypot (sin kx) (sin ky))))
  (* (* (/ (sin ky) (hypot (sin kx) (sin ky))) (/ (sin ky) (hypot (sin kx) (sin ky)))) (/ (sin ky) (hypot (sin kx) (sin ky))))
  (* (cbrt (/ (sin ky) (hypot (sin kx) (sin ky)))) (cbrt (/ (sin ky) (hypot (sin kx) (sin ky)))))
  (cbrt (/ (sin ky) (hypot (sin kx) (sin ky))))
  (* (* (/ (sin ky) (hypot (sin kx) (sin ky))) (/ (sin ky) (hypot (sin kx) (sin ky)))) (/ (sin ky) (hypot (sin kx) (sin ky))))
  (sqrt (/ (sin ky) (hypot (sin kx) (sin ky))))
  (sqrt (/ (sin ky) (hypot (sin kx) (sin ky))))
  (- (sin ky))
  (- (hypot (sin kx) (sin ky)))
  (* (/ (cbrt (sin ky)) (cbrt (hypot (sin kx) (sin ky)))) (/ (cbrt (sin ky)) (cbrt (hypot (sin kx) (sin ky)))))
  (/ (cbrt (sin ky)) (cbrt (hypot (sin kx) (sin ky))))
  (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (hypot (sin kx) (sin ky))))
  (/ (cbrt (sin ky)) (sqrt (hypot (sin kx) (sin ky))))
  (* (cbrt (sin ky)) (cbrt (sin ky)))
  (/ (cbrt (sin ky)) (hypot (sin kx) (sin ky)))
  (/ (sqrt (sin ky)) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky)))))
  (/ (sqrt (sin ky)) (cbrt (hypot (sin kx) (sin ky))))
  (/ (sqrt (sin ky)) (sqrt (hypot (sin kx) (sin ky))))
  (/ (sqrt (sin ky)) (sqrt (hypot (sin kx) (sin ky))))
  (sqrt (sin ky))
  (/ (sqrt (sin ky)) (hypot (sin kx) (sin ky)))
  (/ 1 (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky)))))
  (/ (sin ky) (cbrt (hypot (sin kx) (sin ky))))
  (/ 1 (sqrt (hypot (sin kx) (sin ky))))
  (/ (sin ky) (sqrt (hypot (sin kx) (sin ky))))
  1
  (/ (sin ky) (hypot (sin kx) (sin ky)))
  (/ 1 (hypot (sin kx) (sin ky)))
  (/ (hypot (sin kx) (sin ky)) (sin ky))
  (/ (sin ky) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky)))))
  (/ (sin ky) (sqrt (hypot (sin kx) (sin ky))))
  (sin ky)
  (/ (hypot (sin kx) (sin ky)) (cbrt (sin ky)))
  (/ (hypot (sin kx) (sin ky)) (sqrt (sin ky)))
  (/ (hypot (sin kx) (sin ky)) (sin ky))
  (expm1 (* (/ (sin ky) (hypot (sin kx) (sin ky))) (sin th)))
  (log1p (* (/ (sin ky) (hypot (sin kx) (sin ky))) (sin th)))
  (* (sin th) (/ (sin ky) (hypot (sin kx) (sin ky))))
  (log (* (/ (sin ky) (hypot (sin kx) (sin ky))) (sin th)))
  (log (* (/ (sin ky) (hypot (sin kx) (sin ky))) (sin th)))
  (log (* (/ (sin ky) (hypot (sin kx) (sin ky))) (sin th)))
  (exp (* (/ (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)))
  (* (cbrt (* (/ (sin ky) (hypot (sin kx) (sin ky))) (sin th))) (cbrt (* (/ (sin ky) (hypot (sin kx) (sin ky))) (sin th))))
  (cbrt (* (/ (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)))
  (sqrt (* (/ (sin ky) (hypot (sin kx) (sin ky))) (sin th)))
  (sqrt (* (/ (sin ky) (hypot (sin kx) (sin ky))) (sin th)))
  (* (sqrt (/ (sin ky) (hypot (sin kx) (sin ky)))) (sqrt (sin th)))
  (* (sqrt (/ (sin ky) (hypot (sin kx) (sin ky)))) (sqrt (sin th)))
  (* (/ (sqrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin th)))
  (* (/ (sqrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin th)))
  (* (* (cbrt (sin th)) (cbrt (sin th))) (/ (sin ky) (hypot (sin kx) (sin ky))))
  (* (sqrt (sin th)) (/ (sin ky) (hypot (sin kx) (sin ky))))
  (/ (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 (sin ky)) (cbrt (hypot (sin kx) (sin ky)))) (sin th))
  (* (/ (cbrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (sin th))
  (* (/ (cbrt (sin ky)) (hypot (sin kx) (sin ky))) (sin th))
  (* (/ (sqrt (sin ky)) (cbrt (hypot (sin kx) (sin ky)))) (sin th))
  (* (/ (sqrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (sin th))
  (* (/ (sqrt (sin ky)) (hypot (sin kx) (sin ky))) (sin th))
  (* (/ (sin ky) (cbrt (hypot (sin kx) (sin ky)))) (sin th))
  (* (/ (sin ky) (sqrt (hypot (sin kx) (sin ky)))) (sin th))
  (* (sin th) (/ (sin ky) (hypot (sin kx) (sin ky))))
  (* (sin th) (/ (sin ky) (hypot (sin kx) (sin ky))))
  (/ (sin th) (hypot (sin kx) (sin ky)))
  (* (sin ky) (sin th))
  (expm1 (hypot (sin kx) (sin ky)))
  (log1p (hypot (sin kx) (sin ky)))
  (fma (sin kx) (sin kx) (* (sin ky) (sin ky)))
  (log (hypot (sin kx) (sin ky)))
  (exp (hypot (sin kx) (sin ky)))
  (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))
  (cbrt (hypot (sin kx) (sin ky)))
  (* (* (hypot (sin kx) (sin ky)) (hypot (sin kx) (sin ky))) (hypot (sin kx) (sin ky)))
  (sqrt (hypot (sin kx) (sin ky)))
  (sqrt (hypot (sin kx) (sin ky)))
  (fma ky (fma kx 1/6 (* 7/360 (* kx (* kx kx)))) (* -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))))))
  (* 1/6 (* kx (* ky th)))
  (* (* (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 (- (fma (* kx kx) 1/12 1) (* 1/6 (* ky ky))))
  (hypot (sin kx) (sin ky))
  (hypot (sin kx) (sin ky))
8.797 * * * [progress]: adding candidates to table
9.350 * * [progress]: iteration 3 / 4
9.351 * * * [progress]: picking best candidate
9.492 * * * * [pick]: Picked  #<alt (λ (kx ky th) (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky)))))>
9.492 * * * [progress]: localizing error
9.526 * * * [progress]: generating rewritten candidates
9.526 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2)
9.539 * * * * [progress]: [ 2 / 3 ] rewriting at (2)
9.570 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 2)
9.574 * * * [progress]: generating series expansions
9.574 * * * * [progress]: [ 1 / 3 ] generating series at (2 2)
9.574 * [backup-simplify]: Simplify (/ (sin th) (hypot (sin kx) (sin ky))) into (/ (sin th) (hypot (sin kx) (sin ky)))
9.574 * [approximate]: Taking taylor expansion of (/ (sin th) (hypot (sin kx) (sin ky))) in (th kx ky) around 0
9.574 * [taylor]: Taking taylor expansion of (/ (sin th) (hypot (sin kx) (sin ky))) in ky
9.574 * [taylor]: Taking taylor expansion of (sin th) in ky
9.574 * [taylor]: Taking taylor expansion of th in ky
9.574 * [backup-simplify]: Simplify th into th
9.575 * [backup-simplify]: Simplify (sin th) into (sin th)
9.575 * [backup-simplify]: Simplify (cos th) into (cos th)
9.575 * [taylor]: Taking taylor expansion of (hypot (sin kx) (sin ky)) in ky
9.575 * [taylor]: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
9.575 * [taylor]: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in ky
9.575 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
9.575 * [taylor]: Taking taylor expansion of (sin kx) in ky
9.575 * [taylor]: Taking taylor expansion of kx in ky
9.575 * [backup-simplify]: Simplify kx into kx
9.575 * [backup-simplify]: Simplify (sin kx) into (sin kx)
9.575 * [backup-simplify]: Simplify (cos kx) into (cos kx)
9.575 * [taylor]: Taking taylor expansion of (sin kx) in ky
9.575 * [taylor]: Taking taylor expansion of kx in ky
9.575 * [backup-simplify]: Simplify kx into kx
9.575 * [backup-simplify]: Simplify (sin kx) into (sin kx)
9.575 * [backup-simplify]: Simplify (cos kx) into (cos kx)
9.575 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
9.575 * [taylor]: Taking taylor expansion of (sin ky) in ky
9.575 * [taylor]: Taking taylor expansion of ky in ky
9.575 * [backup-simplify]: Simplify 0 into 0
9.575 * [backup-simplify]: Simplify 1 into 1
9.575 * [taylor]: Taking taylor expansion of (sin ky) in ky
9.575 * [taylor]: Taking taylor expansion of ky in ky
9.575 * [backup-simplify]: Simplify 0 into 0
9.576 * [backup-simplify]: Simplify 1 into 1
9.576 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
9.576 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
9.576 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
9.576 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
9.576 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
9.576 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
9.576 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
9.577 * [backup-simplify]: Simplify (* 0 0) into 0
9.577 * [backup-simplify]: Simplify (+ (pow (sin kx) 2) 0) into (pow (sin kx) 2)
9.578 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
9.578 * [backup-simplify]: Simplify (+ 0) into 0
9.578 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
9.579 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.580 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
9.580 * [backup-simplify]: Simplify (+ 0 0) into 0
9.580 * [backup-simplify]: Simplify (+ 0) into 0
9.581 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
9.582 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.582 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
9.583 * [backup-simplify]: Simplify (+ 0 0) into 0
9.583 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
9.583 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
9.584 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
9.585 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
9.585 * [backup-simplify]: Simplify (+ 0 0) into 0
9.585 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
9.585 * [backup-simplify]: Simplify (* (sin th) 1) into (sin th)
9.586 * [backup-simplify]: Simplify (* (cos th) 0) into 0
9.586 * [backup-simplify]: Simplify (+ (sin th) 0) into (sin th)
9.586 * [backup-simplify]: Simplify (/ (sin th) (sin kx)) into (/ (sin th) (sin kx))
9.586 * [taylor]: Taking taylor expansion of (/ (sin th) (hypot (sin kx) (sin ky))) in kx
9.586 * [taylor]: Taking taylor expansion of (sin th) in kx
9.586 * [taylor]: Taking taylor expansion of th in kx
9.586 * [backup-simplify]: Simplify th into th
9.586 * [backup-simplify]: Simplify (sin th) into (sin th)
9.586 * [backup-simplify]: Simplify (cos th) into (cos th)
9.586 * [taylor]: Taking taylor expansion of (hypot (sin kx) (sin ky)) in kx
9.586 * [taylor]: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
9.586 * [taylor]: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in kx
9.586 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in kx
9.586 * [taylor]: Taking taylor expansion of (sin kx) in kx
9.586 * [taylor]: Taking taylor expansion of kx in kx
9.586 * [backup-simplify]: Simplify 0 into 0
9.586 * [backup-simplify]: Simplify 1 into 1
9.586 * [taylor]: Taking taylor expansion of (sin kx) in kx
9.586 * [taylor]: Taking taylor expansion of kx in kx
9.586 * [backup-simplify]: Simplify 0 into 0
9.586 * [backup-simplify]: Simplify 1 into 1
9.586 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in kx
9.586 * [taylor]: Taking taylor expansion of (sin ky) in kx
9.586 * [taylor]: Taking taylor expansion of ky in kx
9.587 * [backup-simplify]: Simplify ky into ky
9.587 * [backup-simplify]: Simplify (sin ky) into (sin ky)
9.587 * [backup-simplify]: Simplify (cos ky) into (cos ky)
9.587 * [taylor]: Taking taylor expansion of (sin ky) in kx
9.587 * [taylor]: Taking taylor expansion of ky in kx
9.587 * [backup-simplify]: Simplify ky into ky
9.587 * [backup-simplify]: Simplify (sin ky) into (sin ky)
9.587 * [backup-simplify]: Simplify (cos ky) into (cos ky)
9.587 * [backup-simplify]: Simplify (* 0 0) into 0
9.587 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
9.587 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
9.587 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
9.588 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
9.588 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
9.588 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
9.588 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
9.588 * [backup-simplify]: Simplify (+ 0 (pow (sin ky) 2)) into (pow (sin ky) 2)
9.588 * [backup-simplify]: Simplify (sqrt (pow (sin ky) 2)) into (sin ky)
9.589 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
9.589 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
9.589 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
9.590 * [backup-simplify]: Simplify (+ 0) into 0
9.590 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
9.590 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.591 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
9.591 * [backup-simplify]: Simplify (+ 0 0) into 0
9.591 * [backup-simplify]: Simplify (+ 0) into 0
9.592 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
9.592 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.592 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
9.593 * [backup-simplify]: Simplify (+ 0 0) into 0
9.593 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
9.593 * [backup-simplify]: Simplify (+ 0 0) into 0
9.593 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin ky) 2)))) into 0
9.593 * [backup-simplify]: Simplify (* (sin th) 1) into (sin th)
9.593 * [backup-simplify]: Simplify (* (cos th) 0) into 0
9.593 * [backup-simplify]: Simplify (+ (sin th) 0) into (sin th)
9.593 * [backup-simplify]: Simplify (/ (sin th) (sin ky)) into (/ (sin th) (sin ky))
9.593 * [taylor]: Taking taylor expansion of (/ (sin th) (hypot (sin kx) (sin ky))) in th
9.593 * [taylor]: Taking taylor expansion of (sin th) in th
9.593 * [taylor]: Taking taylor expansion of th in th
9.593 * [backup-simplify]: Simplify 0 into 0
9.593 * [backup-simplify]: Simplify 1 into 1
9.593 * [taylor]: Taking taylor expansion of (hypot (sin kx) (sin ky)) in th
9.593 * [taylor]: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
9.594 * [taylor]: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in th
9.594 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in th
9.594 * [taylor]: Taking taylor expansion of (sin kx) in th
9.594 * [taylor]: Taking taylor expansion of kx in th
9.594 * [backup-simplify]: Simplify kx into kx
9.594 * [backup-simplify]: Simplify (sin kx) into (sin kx)
9.594 * [backup-simplify]: Simplify (cos kx) into (cos kx)
9.594 * [taylor]: Taking taylor expansion of (sin kx) in th
9.594 * [taylor]: Taking taylor expansion of kx in th
9.594 * [backup-simplify]: Simplify kx into kx
9.594 * [backup-simplify]: Simplify (sin kx) into (sin kx)
9.594 * [backup-simplify]: Simplify (cos kx) into (cos kx)
9.594 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in th
9.594 * [taylor]: Taking taylor expansion of (sin ky) in th
9.594 * [taylor]: Taking taylor expansion of ky in th
9.594 * [backup-simplify]: Simplify ky into ky
9.594 * [backup-simplify]: Simplify (sin ky) into (sin ky)
9.594 * [backup-simplify]: Simplify (cos ky) into (cos ky)
9.594 * [taylor]: Taking taylor expansion of (sin ky) in th
9.594 * [taylor]: Taking taylor expansion of ky in th
9.594 * [backup-simplify]: Simplify ky into ky
9.594 * [backup-simplify]: Simplify (sin ky) into (sin ky)
9.594 * [backup-simplify]: Simplify (cos ky) into (cos ky)
9.594 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
9.594 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
9.594 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
9.594 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
9.594 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
9.594 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
9.594 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
9.594 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
9.594 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
9.594 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
9.595 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
9.595 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
9.595 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
9.595 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
9.595 * [backup-simplify]: Simplify (+ (pow (sin kx) 2) (pow (sin ky) 2)) into (+ (pow (sin ky) 2) (pow (sin kx) 2))
9.595 * [backup-simplify]: Simplify (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) into (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))
9.595 * [backup-simplify]: Simplify (+ 0) into 0
9.596 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
9.596 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.596 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
9.597 * [backup-simplify]: Simplify (+ 0 0) into 0
9.597 * [backup-simplify]: Simplify (+ 0) into 0
9.597 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
9.598 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.598 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
9.598 * [backup-simplify]: Simplify (+ 0 0) into 0
9.599 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
9.599 * [backup-simplify]: Simplify (+ 0) into 0
9.599 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
9.600 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.600 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
9.600 * [backup-simplify]: Simplify (+ 0 0) into 0
9.600 * [backup-simplify]: Simplify (+ 0) into 0
9.601 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
9.601 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.601 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
9.602 * [backup-simplify]: Simplify (+ 0 0) into 0
9.602 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
9.602 * [backup-simplify]: Simplify (+ 0 0) into 0
9.602 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))) into 0
9.603 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
9.603 * [backup-simplify]: Simplify (/ 1 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))) into (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2))))
9.603 * [taylor]: Taking taylor expansion of (/ (sin th) (hypot (sin kx) (sin ky))) in th
9.603 * [taylor]: Taking taylor expansion of (sin th) in th
9.603 * [taylor]: Taking taylor expansion of th in th
9.603 * [backup-simplify]: Simplify 0 into 0
9.603 * [backup-simplify]: Simplify 1 into 1
9.603 * [taylor]: Taking taylor expansion of (hypot (sin kx) (sin ky)) in th
9.603 * [taylor]: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
9.603 * [taylor]: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in th
9.603 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in th
9.603 * [taylor]: Taking taylor expansion of (sin kx) in th
9.603 * [taylor]: Taking taylor expansion of kx in th
9.603 * [backup-simplify]: Simplify kx into kx
9.603 * [backup-simplify]: Simplify (sin kx) into (sin kx)
9.603 * [backup-simplify]: Simplify (cos kx) into (cos kx)
9.603 * [taylor]: Taking taylor expansion of (sin kx) in th
9.603 * [taylor]: Taking taylor expansion of kx in th
9.603 * [backup-simplify]: Simplify kx into kx
9.603 * [backup-simplify]: Simplify (sin kx) into (sin kx)
9.603 * [backup-simplify]: Simplify (cos kx) into (cos kx)
9.603 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in th
9.603 * [taylor]: Taking taylor expansion of (sin ky) in th
9.603 * [taylor]: Taking taylor expansion of ky in th
9.603 * [backup-simplify]: Simplify ky into ky
9.604 * [backup-simplify]: Simplify (sin ky) into (sin ky)
9.604 * [backup-simplify]: Simplify (cos ky) into (cos ky)
9.604 * [taylor]: Taking taylor expansion of (sin ky) in th
9.604 * [taylor]: Taking taylor expansion of ky in th
9.604 * [backup-simplify]: Simplify ky into ky
9.604 * [backup-simplify]: Simplify (sin ky) into (sin ky)
9.604 * [backup-simplify]: Simplify (cos ky) into (cos ky)
9.604 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
9.604 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
9.604 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
9.604 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
9.604 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
9.604 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
9.604 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
9.604 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
9.604 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
9.604 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
9.604 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
9.604 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
9.604 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
9.604 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
9.605 * [backup-simplify]: Simplify (+ (pow (sin kx) 2) (pow (sin ky) 2)) into (+ (pow (sin ky) 2) (pow (sin kx) 2))
9.605 * [backup-simplify]: Simplify (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) into (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))
9.605 * [backup-simplify]: Simplify (+ 0) into 0
9.605 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
9.606 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.606 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
9.606 * [backup-simplify]: Simplify (+ 0 0) into 0
9.607 * [backup-simplify]: Simplify (+ 0) into 0
9.607 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
9.607 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.608 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
9.608 * [backup-simplify]: Simplify (+ 0 0) into 0
9.608 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
9.608 * [backup-simplify]: Simplify (+ 0) into 0
9.609 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
9.609 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.609 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
9.610 * [backup-simplify]: Simplify (+ 0 0) into 0
9.610 * [backup-simplify]: Simplify (+ 0) into 0
9.610 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
9.611 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.611 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
9.611 * [backup-simplify]: Simplify (+ 0 0) into 0
9.611 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
9.612 * [backup-simplify]: Simplify (+ 0 0) into 0
9.612 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))) into 0
9.612 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
9.612 * [backup-simplify]: Simplify (/ 1 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))) into (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2))))
9.613 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) in kx
9.613 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2))) in kx
9.613 * [taylor]: Taking taylor expansion of (+ (pow (sin ky) 2) (pow (sin kx) 2)) in kx
9.613 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in kx
9.613 * [taylor]: Taking taylor expansion of (sin ky) in kx
9.613 * [taylor]: Taking taylor expansion of ky in kx
9.613 * [backup-simplify]: Simplify ky into ky
9.613 * [backup-simplify]: Simplify (sin ky) into (sin ky)
9.613 * [backup-simplify]: Simplify (cos ky) into (cos ky)
9.613 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
9.613 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
9.613 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
9.613 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in kx
9.613 * [taylor]: Taking taylor expansion of (sin kx) in kx
9.613 * [taylor]: Taking taylor expansion of kx in kx
9.613 * [backup-simplify]: Simplify 0 into 0
9.613 * [backup-simplify]: Simplify 1 into 1
9.614 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
9.614 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
9.614 * [backup-simplify]: Simplify (+ (pow (sin ky) 2) 0) into (pow (sin ky) 2)
9.614 * [backup-simplify]: Simplify (/ 1 (pow (sin ky) 2)) into (/ 1 (pow (sin ky) 2))
9.614 * [backup-simplify]: Simplify (sqrt (/ 1 (pow (sin ky) 2))) into (/ 1 (sin ky))
9.614 * [backup-simplify]: Simplify (+ 0) into 0
9.615 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
9.615 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.615 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
9.616 * [backup-simplify]: Simplify (+ 0 0) into 0
9.616 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
9.616 * [backup-simplify]: Simplify (+ 0 0) into 0
9.616 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sin ky) 2)) (/ 0 (pow (sin ky) 2))))) into 0
9.616 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow (sin ky) 2))))) into 0
9.616 * [taylor]: Taking taylor expansion of (/ 1 (sin ky)) in ky
9.616 * [taylor]: Taking taylor expansion of (sin ky) in ky
9.616 * [taylor]: Taking taylor expansion of ky in ky
9.616 * [backup-simplify]: Simplify 0 into 0
9.616 * [backup-simplify]: Simplify 1 into 1
9.617 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
9.617 * [backup-simplify]: Simplify (/ 1 1) into 1
9.618 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
9.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.618 * [backup-simplify]: Simplify 0 into 0
9.618 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
9.619 * [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
9.619 * [taylor]: Taking taylor expansion of 0 in kx
9.619 * [backup-simplify]: Simplify 0 into 0
9.619 * [taylor]: Taking taylor expansion of 0 in ky
9.619 * [backup-simplify]: Simplify 0 into 0
9.619 * [backup-simplify]: Simplify 0 into 0
9.619 * [taylor]: Taking taylor expansion of 0 in ky
9.619 * [backup-simplify]: Simplify 0 into 0
9.619 * [backup-simplify]: Simplify 0 into 0
9.620 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
9.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/6
9.621 * [backup-simplify]: Simplify 1/6 into 1/6
9.622 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
9.622 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
9.623 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
9.623 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
9.624 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
9.624 * [backup-simplify]: Simplify (+ 0 0) into 0
9.624 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
9.625 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
9.625 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
9.626 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
9.626 * [backup-simplify]: Simplify (+ 0 0) into 0
9.626 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 (sin kx)))) into 0
9.627 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
9.627 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 1))) into 0
9.628 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
9.628 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (* 0 0))) into 0
9.628 * [backup-simplify]: Simplify (+ 0 0) into 0
9.629 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
9.629 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 1))) into 0
9.630 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
9.630 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (* 0 0))) into 0
9.630 * [backup-simplify]: Simplify (+ 0 0) into 0
9.631 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 (sin ky)))) into 0
9.631 * [backup-simplify]: Simplify (+ 0 0) into 0
9.631 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))) into 0
9.632 * [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))))))
9.632 * [taylor]: Taking taylor expansion of (- (* 1/6 (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))))) in kx
9.632 * [taylor]: Taking taylor expansion of (* 1/6 (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2))))) in kx
9.632 * [taylor]: Taking taylor expansion of 1/6 in kx
9.632 * [backup-simplify]: Simplify 1/6 into 1/6
9.632 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) in kx
9.632 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2))) in kx
9.632 * [taylor]: Taking taylor expansion of (+ (pow (sin ky) 2) (pow (sin kx) 2)) in kx
9.632 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in kx
9.632 * [taylor]: Taking taylor expansion of (sin ky) in kx
9.632 * [taylor]: Taking taylor expansion of ky in kx
9.632 * [backup-simplify]: Simplify ky into ky
9.633 * [backup-simplify]: Simplify (sin ky) into (sin ky)
9.633 * [backup-simplify]: Simplify (cos ky) into (cos ky)
9.633 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
9.633 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
9.633 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
9.633 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in kx
9.633 * [taylor]: Taking taylor expansion of (sin kx) in kx
9.633 * [taylor]: Taking taylor expansion of kx in kx
9.633 * [backup-simplify]: Simplify 0 into 0
9.633 * [backup-simplify]: Simplify 1 into 1
9.633 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
9.633 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
9.633 * [backup-simplify]: Simplify (+ (pow (sin ky) 2) 0) into (pow (sin ky) 2)
9.634 * [backup-simplify]: Simplify (/ 1 (pow (sin ky) 2)) into (/ 1 (pow (sin ky) 2))
9.634 * [backup-simplify]: Simplify (sqrt (/ 1 (pow (sin ky) 2))) into (/ 1 (sin ky))
9.634 * [backup-simplify]: Simplify (+ 0) into 0
9.634 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
9.635 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.635 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
9.635 * [backup-simplify]: Simplify (+ 0 0) into 0
9.635 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
9.636 * [backup-simplify]: Simplify (+ 0 0) into 0
9.636 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sin ky) 2)) (/ 0 (pow (sin ky) 2))))) into 0
9.636 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow (sin ky) 2))))) into 0
9.636 * [backup-simplify]: Simplify (* 1/6 (/ 1 (sin ky))) into (/ 1/6 (sin ky))
9.636 * [backup-simplify]: Simplify (- (/ 1/6 (sin ky))) into (- (* 1/6 (/ 1 (sin ky))))
9.636 * [taylor]: Taking taylor expansion of (- (* 1/6 (/ 1 (sin ky)))) in ky
9.636 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (sin ky))) in ky
9.636 * [taylor]: Taking taylor expansion of 1/6 in ky
9.636 * [backup-simplify]: Simplify 1/6 into 1/6
9.636 * [taylor]: Taking taylor expansion of (/ 1 (sin ky)) in ky
9.636 * [taylor]: Taking taylor expansion of (sin ky) in ky
9.636 * [taylor]: Taking taylor expansion of ky in ky
9.636 * [backup-simplify]: Simplify 0 into 0
9.636 * [backup-simplify]: Simplify 1 into 1
9.637 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
9.637 * [backup-simplify]: Simplify (/ 1 1) into 1
9.637 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
9.638 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.638 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 1)) into 0
9.638 * [backup-simplify]: Simplify (- 0) into 0
9.638 * [backup-simplify]: Simplify 0 into 0
9.639 * [taylor]: Taking taylor expansion of 0 in ky
9.639 * [backup-simplify]: Simplify 0 into 0
9.639 * [backup-simplify]: Simplify 0 into 0
9.639 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
9.640 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 1))) into 0
9.640 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
9.640 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (* 0 0))) into 0
9.641 * [backup-simplify]: Simplify (+ 0 0) into 0
9.641 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 (sin ky)))) into 0
9.642 * [backup-simplify]: Simplify (* 1 1) into 1
9.642 * [backup-simplify]: Simplify (+ 0 1) into 1
9.643 * [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)))
9.644 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow (sin ky) 4))) (pow 0 2) (+)) (* 2 (/ 1 (sin ky)))) into (/ -1/2 (pow (sin ky) 3))
9.644 * [taylor]: Taking taylor expansion of (/ -1/2 (pow (sin ky) 3)) in ky
9.644 * [taylor]: Taking taylor expansion of -1/2 in ky
9.644 * [backup-simplify]: Simplify -1/2 into -1/2
9.644 * [taylor]: Taking taylor expansion of (pow (sin ky) 3) in ky
9.644 * [taylor]: Taking taylor expansion of (sin ky) in ky
9.644 * [taylor]: Taking taylor expansion of ky in ky
9.644 * [backup-simplify]: Simplify 0 into 0
9.644 * [backup-simplify]: Simplify 1 into 1
9.644 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
9.645 * [backup-simplify]: Simplify (* 1 1) into 1
9.645 * [backup-simplify]: Simplify (* 1 1) into 1
9.646 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
9.647 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
9.648 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
9.649 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
9.651 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0
9.652 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3
9.652 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.654 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/3) (+ (* -1/6 0) (* 0 1)))) into 0
9.655 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.655 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0
9.656 * [backup-simplify]: Simplify (+ (* 1 -1/3) (+ (* 0 0) (* -1/6 1))) into -1/2
9.658 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ -1/2 1)) (* 0 (/ 0 1)))) into -1/4
9.659 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ -1/2 1)) (* -1/4 (/ 0 1)))) into 0
9.659 * [backup-simplify]: Simplify 0 into 0
9.659 * [backup-simplify]: Simplify 0 into 0
9.659 * [backup-simplify]: Simplify 0 into 0
9.661 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
9.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/6 1)) (* 1/6 (/ 0 1)))) into 0
9.662 * [backup-simplify]: Simplify 0 into 0
9.662 * [backup-simplify]: Simplify (* 1/6 (* ky (* 1 th))) into (* 1/6 (* ky th))
9.662 * [backup-simplify]: Simplify (/ (sin (/ 1 th)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) into (/ (sin (/ 1 th)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky))))
9.662 * [approximate]: Taking taylor expansion of (/ (sin (/ 1 th)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) in (th kx ky) around 0
9.662 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 th)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) in ky
9.662 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in ky
9.662 * [taylor]: Taking taylor expansion of (/ 1 th) in ky
9.663 * [taylor]: Taking taylor expansion of th in ky
9.663 * [backup-simplify]: Simplify th into th
9.663 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
9.663 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
9.663 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
9.663 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in ky
9.663 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))))
9.663 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in ky
9.663 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
9.663 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
9.663 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
9.663 * [taylor]: Taking taylor expansion of kx in ky
9.663 * [backup-simplify]: Simplify kx into kx
9.663 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
9.663 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
9.663 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
9.663 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
9.663 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
9.663 * [taylor]: Taking taylor expansion of kx in ky
9.663 * [backup-simplify]: Simplify kx into kx
9.663 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
9.664 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
9.664 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
9.664 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
9.664 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
9.664 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
9.664 * [taylor]: Taking taylor expansion of ky in ky
9.664 * [backup-simplify]: Simplify 0 into 0
9.664 * [backup-simplify]: Simplify 1 into 1
9.664 * [backup-simplify]: Simplify (/ 1 1) into 1
9.665 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
9.665 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
9.665 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
9.665 * [taylor]: Taking taylor expansion of ky in ky
9.665 * [backup-simplify]: Simplify 0 into 0
9.665 * [backup-simplify]: Simplify 1 into 1
9.665 * [backup-simplify]: Simplify (/ 1 1) into 1
9.665 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
9.665 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
9.665 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
9.665 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
9.666 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
9.666 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
9.666 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
9.666 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
9.666 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
9.666 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
9.667 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
9.667 * [backup-simplify]: Simplify (+ 0) into 0
9.668 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
9.668 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
9.669 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.669 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
9.669 * [backup-simplify]: Simplify (+ 0 0) into 0
9.670 * [backup-simplify]: Simplify (+ 0) into 0
9.670 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
9.670 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
9.671 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.672 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
9.672 * [backup-simplify]: Simplify (+ 0 0) into 0
9.672 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
9.672 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
9.673 * [backup-simplify]: Simplify (+ 0 0) into 0
9.673 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
9.673 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
9.673 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
9.674 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
9.674 * [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)))))
9.674 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 th)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) in kx
9.674 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in kx
9.674 * [taylor]: Taking taylor expansion of (/ 1 th) in kx
9.674 * [taylor]: Taking taylor expansion of th in kx
9.674 * [backup-simplify]: Simplify th into th
9.674 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
9.674 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
9.674 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
9.674 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in kx
9.675 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))))
9.675 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in kx
9.675 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in kx
9.675 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
9.675 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
9.675 * [taylor]: Taking taylor expansion of kx in kx
9.675 * [backup-simplify]: Simplify 0 into 0
9.675 * [backup-simplify]: Simplify 1 into 1
9.675 * [backup-simplify]: Simplify (/ 1 1) into 1
9.675 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
9.675 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
9.675 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
9.675 * [taylor]: Taking taylor expansion of kx in kx
9.675 * [backup-simplify]: Simplify 0 into 0
9.675 * [backup-simplify]: Simplify 1 into 1
9.676 * [backup-simplify]: Simplify (/ 1 1) into 1
9.676 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
9.676 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in kx
9.676 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
9.676 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
9.676 * [taylor]: Taking taylor expansion of ky in kx
9.676 * [backup-simplify]: Simplify ky into ky
9.676 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
9.676 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
9.676 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
9.676 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
9.676 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
9.676 * [taylor]: Taking taylor expansion of ky in kx
9.676 * [backup-simplify]: Simplify ky into ky
9.676 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
9.676 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
9.676 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
9.677 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
9.677 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
9.677 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
9.677 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
9.677 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
9.677 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
9.677 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
9.677 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
9.678 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
9.678 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
9.678 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
9.681 * [backup-simplify]: Simplify (+ 0) into 0
9.682 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
9.682 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
9.683 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.683 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
9.684 * [backup-simplify]: Simplify (+ 0 0) into 0
9.684 * [backup-simplify]: Simplify (+ 0) into 0
9.685 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
9.685 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
9.685 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.686 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
9.686 * [backup-simplify]: Simplify (+ 0 0) into 0
9.686 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
9.687 * [backup-simplify]: Simplify (+ 0 0) into 0
9.687 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
9.687 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
9.688 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
9.688 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
9.688 * [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)))))
9.688 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 th)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) in th
9.688 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in th
9.688 * [taylor]: Taking taylor expansion of (/ 1 th) in th
9.688 * [taylor]: Taking taylor expansion of th in th
9.688 * [backup-simplify]: Simplify 0 into 0
9.688 * [backup-simplify]: Simplify 1 into 1
9.689 * [backup-simplify]: Simplify (/ 1 1) into 1
9.689 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
9.689 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in th
9.689 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))))
9.689 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in th
9.689 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in th
9.689 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in th
9.689 * [taylor]: Taking taylor expansion of (/ 1 kx) in th
9.689 * [taylor]: Taking taylor expansion of kx in th
9.689 * [backup-simplify]: Simplify kx into kx
9.689 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
9.689 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
9.689 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
9.689 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in th
9.689 * [taylor]: Taking taylor expansion of (/ 1 kx) in th
9.689 * [taylor]: Taking taylor expansion of kx in th
9.689 * [backup-simplify]: Simplify kx into kx
9.689 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
9.690 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
9.690 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
9.690 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in th
9.690 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
9.690 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
9.690 * [taylor]: Taking taylor expansion of ky in th
9.690 * [backup-simplify]: Simplify ky into ky
9.690 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
9.690 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
9.690 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
9.690 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
9.690 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
9.690 * [taylor]: Taking taylor expansion of ky in th
9.690 * [backup-simplify]: Simplify ky into ky
9.690 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
9.690 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
9.690 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
9.690 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
9.690 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
9.691 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
9.691 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
9.691 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
9.691 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
9.691 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
9.691 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
9.691 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
9.691 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
9.691 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
9.692 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
9.692 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
9.692 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
9.692 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
9.693 * [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)))
9.693 * [backup-simplify]: Simplify (+ 0) into 0
9.694 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
9.694 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
9.695 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.695 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
9.695 * [backup-simplify]: Simplify (+ 0 0) into 0
9.696 * [backup-simplify]: Simplify (+ 0) into 0
9.696 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
9.696 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
9.697 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.698 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
9.698 * [backup-simplify]: Simplify (+ 0 0) into 0
9.698 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
9.699 * [backup-simplify]: Simplify (+ 0) into 0
9.699 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
9.699 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
9.700 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.700 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
9.701 * [backup-simplify]: Simplify (+ 0 0) into 0
9.701 * [backup-simplify]: Simplify (+ 0) into 0
9.701 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
9.701 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
9.702 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.702 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
9.703 * [backup-simplify]: Simplify (+ 0 0) into 0
9.703 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
9.703 * [backup-simplify]: Simplify (+ 0 0) into 0
9.703 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
9.703 * [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)))))
9.703 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 th)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) in th
9.704 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in th
9.704 * [taylor]: Taking taylor expansion of (/ 1 th) in th
9.704 * [taylor]: Taking taylor expansion of th in th
9.704 * [backup-simplify]: Simplify 0 into 0
9.704 * [backup-simplify]: Simplify 1 into 1
9.704 * [backup-simplify]: Simplify (/ 1 1) into 1
9.704 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
9.704 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in th
9.704 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))))
9.704 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in th
9.704 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in th
9.704 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in th
9.704 * [taylor]: Taking taylor expansion of (/ 1 kx) in th
9.704 * [taylor]: Taking taylor expansion of kx in th
9.704 * [backup-simplify]: Simplify kx into kx
9.704 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
9.704 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
9.704 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
9.704 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in th
9.704 * [taylor]: Taking taylor expansion of (/ 1 kx) in th
9.704 * [taylor]: Taking taylor expansion of kx in th
9.704 * [backup-simplify]: Simplify kx into kx
9.704 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
9.704 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
9.704 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
9.704 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in th
9.704 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
9.705 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
9.705 * [taylor]: Taking taylor expansion of ky in th
9.705 * [backup-simplify]: Simplify ky into ky
9.705 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
9.705 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
9.705 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
9.705 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
9.705 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
9.705 * [taylor]: Taking taylor expansion of ky in th
9.705 * [backup-simplify]: Simplify ky into ky
9.705 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
9.705 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
9.705 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
9.705 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
9.705 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
9.705 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
9.705 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
9.705 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
9.705 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
9.705 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
9.705 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
9.705 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
9.705 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
9.706 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
9.706 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
9.706 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
9.706 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
9.706 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
9.706 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
9.707 * [backup-simplify]: Simplify (+ 0) into 0
9.707 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
9.707 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
9.707 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.708 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
9.708 * [backup-simplify]: Simplify (+ 0 0) into 0
9.708 * [backup-simplify]: Simplify (+ 0) into 0
9.709 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
9.709 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
9.709 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.709 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
9.710 * [backup-simplify]: Simplify (+ 0 0) into 0
9.710 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
9.710 * [backup-simplify]: Simplify (+ 0) into 0
9.710 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
9.710 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
9.711 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.711 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
9.711 * [backup-simplify]: Simplify (+ 0 0) into 0
9.712 * [backup-simplify]: Simplify (+ 0) into 0
9.712 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
9.712 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
9.713 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.713 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
9.713 * [backup-simplify]: Simplify (+ 0 0) into 0
9.713 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
9.713 * [backup-simplify]: Simplify (+ 0 0) into 0
9.714 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
9.714 * [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)))))
9.714 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) in kx
9.714 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in kx
9.714 * [taylor]: Taking taylor expansion of (/ 1 th) in kx
9.714 * [taylor]: Taking taylor expansion of th in kx
9.714 * [backup-simplify]: Simplify th into th
9.714 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
9.715 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
9.715 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
9.715 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in kx
9.715 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx
9.715 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx
9.715 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx
9.715 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
9.715 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
9.715 * [taylor]: Taking taylor expansion of kx in kx
9.715 * [backup-simplify]: Simplify 0 into 0
9.715 * [backup-simplify]: Simplify 1 into 1
9.715 * [backup-simplify]: Simplify (/ 1 1) into 1
9.715 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
9.715 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx
9.715 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
9.715 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
9.715 * [taylor]: Taking taylor expansion of ky in kx
9.715 * [backup-simplify]: Simplify ky into ky
9.715 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
9.715 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
9.715 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
9.715 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
9.715 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
9.715 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
9.716 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
9.716 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
9.716 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
9.716 * [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)))
9.716 * [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))))
9.716 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
9.717 * [backup-simplify]: Simplify (+ 0) into 0
9.717 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
9.717 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
9.718 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.718 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
9.718 * [backup-simplify]: Simplify (+ 0 0) into 0
9.718 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
9.719 * [backup-simplify]: Simplify (+ 0 0) into 0
9.719 * [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
9.719 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
9.719 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
9.719 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
9.720 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
9.720 * [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)))))
9.720 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) in ky
9.720 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in ky
9.720 * [taylor]: Taking taylor expansion of (/ 1 th) in ky
9.720 * [taylor]: Taking taylor expansion of th in ky
9.720 * [backup-simplify]: Simplify th into th
9.720 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
9.720 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
9.720 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
9.720 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in ky
9.720 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in ky
9.720 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in ky
9.720 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in ky
9.720 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
9.720 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
9.720 * [taylor]: Taking taylor expansion of kx in ky
9.720 * [backup-simplify]: Simplify kx into kx
9.720 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
9.720 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
9.720 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
9.720 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
9.720 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
9.721 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
9.721 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in ky
9.721 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
9.721 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
9.721 * [taylor]: Taking taylor expansion of ky in ky
9.721 * [backup-simplify]: Simplify 0 into 0
9.721 * [backup-simplify]: Simplify 1 into 1
9.721 * [backup-simplify]: Simplify (/ 1 1) into 1
9.721 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
9.721 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
9.721 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
9.721 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
9.722 * [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)))
9.722 * [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))))
9.722 * [backup-simplify]: Simplify (+ 0) into 0
9.722 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
9.723 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
9.723 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.723 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
9.724 * [backup-simplify]: Simplify (+ 0 0) into 0
9.724 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
9.724 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
9.724 * [backup-simplify]: Simplify (+ 0 0) into 0
9.725 * [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
9.725 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
9.725 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
9.725 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
9.725 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
9.725 * [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)))))
9.726 * [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)))))
9.727 * [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
9.727 * [taylor]: Taking taylor expansion of 0 in kx
9.727 * [backup-simplify]: Simplify 0 into 0
9.727 * [taylor]: Taking taylor expansion of 0 in ky
9.727 * [backup-simplify]: Simplify 0 into 0
9.727 * [backup-simplify]: Simplify 0 into 0
9.727 * [backup-simplify]: Simplify (+ 0) into 0
9.728 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 1)) into 0
9.728 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
9.729 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.729 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 0)) into 0
9.729 * [backup-simplify]: Simplify (+ 0 0) into 0
9.730 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
9.730 * [taylor]: Taking taylor expansion of 0 in ky
9.730 * [backup-simplify]: Simplify 0 into 0
9.730 * [backup-simplify]: Simplify 0 into 0
9.731 * [backup-simplify]: Simplify (+ 0) into 0
9.731 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 1)) into 0
9.731 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
9.732 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.732 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 0)) into 0
9.733 * [backup-simplify]: Simplify (+ 0 0) into 0
9.733 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
9.733 * [backup-simplify]: Simplify 0 into 0
9.734 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
9.735 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
9.735 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
9.736 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
9.737 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
9.737 * [backup-simplify]: Simplify (+ 0 0) into 0
9.738 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
9.739 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
9.739 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
9.740 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
9.740 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
9.741 * [backup-simplify]: Simplify (+ 0 0) into 0
9.741 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
9.742 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
9.743 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
9.743 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
9.744 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
9.745 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
9.745 * [backup-simplify]: Simplify (+ 0 0) into 0
9.746 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
9.747 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
9.747 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
9.748 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
9.748 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
9.749 * [backup-simplify]: Simplify (+ 0 0) into 0
9.749 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
9.750 * [backup-simplify]: Simplify (+ 0 0) into 0
9.751 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
9.752 * [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
9.752 * [taylor]: Taking taylor expansion of 0 in kx
9.752 * [backup-simplify]: Simplify 0 into 0
9.752 * [taylor]: Taking taylor expansion of 0 in ky
9.752 * [backup-simplify]: Simplify 0 into 0
9.752 * [backup-simplify]: Simplify 0 into 0
9.752 * [taylor]: Taking taylor expansion of 0 in ky
9.753 * [backup-simplify]: Simplify 0 into 0
9.753 * [backup-simplify]: Simplify 0 into 0
9.753 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
9.754 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
9.755 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
9.755 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
9.756 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
9.757 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
9.757 * [backup-simplify]: Simplify (+ 0 0) into 0
9.758 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
9.758 * [backup-simplify]: Simplify (+ 0 0) into 0
9.759 * [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)))) (* 0 (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
9.761 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
9.761 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
9.762 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
9.762 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
9.763 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
9.764 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
9.765 * [backup-simplify]: Simplify (+ 0 0) into 0
9.766 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) into 0
9.766 * [taylor]: Taking taylor expansion of 0 in ky
9.766 * [backup-simplify]: Simplify 0 into 0
9.766 * [backup-simplify]: Simplify 0 into 0
9.766 * [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))
9.767 * [backup-simplify]: Simplify (/ (sin (/ 1 (- th))) (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky))))) into (/ (sin (/ -1 th)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky))))
9.767 * [approximate]: Taking taylor expansion of (/ (sin (/ -1 th)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))) in (th kx ky) around 0
9.767 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 th)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))) in ky
9.767 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in ky
9.767 * [taylor]: Taking taylor expansion of (/ -1 th) in ky
9.767 * [taylor]: Taking taylor expansion of -1 in ky
9.767 * [backup-simplify]: Simplify -1 into -1
9.767 * [taylor]: Taking taylor expansion of th in ky
9.767 * [backup-simplify]: Simplify th into th
9.767 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
9.767 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
9.767 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
9.767 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 kx)) (sin (/ -1 ky))) in ky
9.767 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))))
9.767 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))) in ky
9.767 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
9.767 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
9.767 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
9.767 * [taylor]: Taking taylor expansion of -1 in ky
9.767 * [backup-simplify]: Simplify -1 into -1
9.767 * [taylor]: Taking taylor expansion of kx in ky
9.767 * [backup-simplify]: Simplify kx into kx
9.768 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
9.768 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
9.768 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
9.768 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
9.768 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
9.768 * [taylor]: Taking taylor expansion of -1 in ky
9.768 * [backup-simplify]: Simplify -1 into -1
9.768 * [taylor]: Taking taylor expansion of kx in ky
9.768 * [backup-simplify]: Simplify kx into kx
9.768 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
9.768 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
9.768 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
9.768 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
9.768 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
9.768 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
9.768 * [taylor]: Taking taylor expansion of -1 in ky
9.768 * [backup-simplify]: Simplify -1 into -1
9.768 * [taylor]: Taking taylor expansion of ky in ky
9.768 * [backup-simplify]: Simplify 0 into 0
9.768 * [backup-simplify]: Simplify 1 into 1
9.769 * [backup-simplify]: Simplify (/ -1 1) into -1
9.769 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
9.769 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
9.769 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
9.769 * [taylor]: Taking taylor expansion of -1 in ky
9.769 * [backup-simplify]: Simplify -1 into -1
9.769 * [taylor]: Taking taylor expansion of ky in ky
9.769 * [backup-simplify]: Simplify 0 into 0
9.769 * [backup-simplify]: Simplify 1 into 1
9.770 * [backup-simplify]: Simplify (/ -1 1) into -1
9.770 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
9.770 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
9.770 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
9.770 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
9.770 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
9.770 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
9.770 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
9.771 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
9.771 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
9.771 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
9.771 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
9.772 * [backup-simplify]: Simplify (+ 0) into 0
9.773 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
9.774 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
9.774 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.775 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
9.775 * [backup-simplify]: Simplify (+ 0 0) into 0
9.776 * [backup-simplify]: Simplify (+ 0) into 0
9.776 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
9.776 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
9.777 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.778 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
9.778 * [backup-simplify]: Simplify (+ 0 0) into 0
9.778 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
9.779 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
9.779 * [backup-simplify]: Simplify (+ 0 0) into 0
9.779 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
9.780 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
9.780 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
9.780 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
9.780 * [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)))))
9.780 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 th)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))) in kx
9.780 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in kx
9.780 * [taylor]: Taking taylor expansion of (/ -1 th) in kx
9.780 * [taylor]: Taking taylor expansion of -1 in kx
9.780 * [backup-simplify]: Simplify -1 into -1
9.780 * [taylor]: Taking taylor expansion of th in kx
9.780 * [backup-simplify]: Simplify th into th
9.781 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
9.781 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
9.781 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
9.781 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 kx)) (sin (/ -1 ky))) in kx
9.781 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))))
9.781 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))) in kx
9.781 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in kx
9.781 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
9.781 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
9.781 * [taylor]: Taking taylor expansion of -1 in kx
9.781 * [backup-simplify]: Simplify -1 into -1
9.781 * [taylor]: Taking taylor expansion of kx in kx
9.781 * [backup-simplify]: Simplify 0 into 0
9.781 * [backup-simplify]: Simplify 1 into 1
9.782 * [backup-simplify]: Simplify (/ -1 1) into -1
9.782 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
9.782 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
9.782 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
9.782 * [taylor]: Taking taylor expansion of -1 in kx
9.782 * [backup-simplify]: Simplify -1 into -1
9.782 * [taylor]: Taking taylor expansion of kx in kx
9.782 * [backup-simplify]: Simplify 0 into 0
9.782 * [backup-simplify]: Simplify 1 into 1
9.782 * [backup-simplify]: Simplify (/ -1 1) into -1
9.783 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
9.783 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in kx
9.783 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
9.783 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
9.783 * [taylor]: Taking taylor expansion of -1 in kx
9.783 * [backup-simplify]: Simplify -1 into -1
9.783 * [taylor]: Taking taylor expansion of ky in kx
9.783 * [backup-simplify]: Simplify ky into ky
9.783 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
9.783 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
9.783 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
9.783 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
9.783 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
9.783 * [taylor]: Taking taylor expansion of -1 in kx
9.783 * [backup-simplify]: Simplify -1 into -1
9.783 * [taylor]: Taking taylor expansion of ky in kx
9.783 * [backup-simplify]: Simplify ky into ky
9.783 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
9.783 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
9.783 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
9.784 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
9.784 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
9.784 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
9.784 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
9.784 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
9.784 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
9.784 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
9.784 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
9.785 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
9.785 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
9.785 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
9.786 * [backup-simplify]: Simplify (+ 0) into 0
9.786 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
9.787 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
9.787 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.788 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
9.788 * [backup-simplify]: Simplify (+ 0 0) into 0
9.789 * [backup-simplify]: Simplify (+ 0) into 0
9.789 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
9.789 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
9.790 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.791 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
9.791 * [backup-simplify]: Simplify (+ 0 0) into 0
9.791 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
9.791 * [backup-simplify]: Simplify (+ 0 0) into 0
9.792 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
9.792 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
9.792 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
9.792 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
9.793 * [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)))))
9.793 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 th)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))) in th
9.793 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in th
9.793 * [taylor]: Taking taylor expansion of (/ -1 th) in th
9.793 * [taylor]: Taking taylor expansion of -1 in th
9.793 * [backup-simplify]: Simplify -1 into -1
9.793 * [taylor]: Taking taylor expansion of th in th
9.793 * [backup-simplify]: Simplify 0 into 0
9.793 * [backup-simplify]: Simplify 1 into 1
9.793 * [backup-simplify]: Simplify (/ -1 1) into -1
9.794 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
9.794 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 kx)) (sin (/ -1 ky))) in th
9.794 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))))
9.794 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))) in th
9.794 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in th
9.794 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in th
9.794 * [taylor]: Taking taylor expansion of (/ -1 kx) in th
9.794 * [taylor]: Taking taylor expansion of -1 in th
9.794 * [backup-simplify]: Simplify -1 into -1
9.794 * [taylor]: Taking taylor expansion of kx in th
9.794 * [backup-simplify]: Simplify kx into kx
9.794 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
9.794 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
9.794 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
9.794 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in th
9.794 * [taylor]: Taking taylor expansion of (/ -1 kx) in th
9.794 * [taylor]: Taking taylor expansion of -1 in th
9.794 * [backup-simplify]: Simplify -1 into -1
9.794 * [taylor]: Taking taylor expansion of kx in th
9.794 * [backup-simplify]: Simplify kx into kx
9.794 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
9.795 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
9.795 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
9.795 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in th
9.795 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
9.795 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
9.795 * [taylor]: Taking taylor expansion of -1 in th
9.795 * [backup-simplify]: Simplify -1 into -1
9.795 * [taylor]: Taking taylor expansion of ky in th
9.795 * [backup-simplify]: Simplify ky into ky
9.795 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
9.795 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
9.795 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
9.795 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
9.795 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
9.795 * [taylor]: Taking taylor expansion of -1 in th
9.795 * [backup-simplify]: Simplify -1 into -1
9.795 * [taylor]: Taking taylor expansion of ky in th
9.795 * [backup-simplify]: Simplify ky into ky
9.795 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
9.795 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
9.796 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
9.796 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
9.796 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
9.796 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
9.796 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
9.796 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
9.796 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
9.796 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
9.797 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
9.797 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
9.797 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
9.797 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
9.797 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
9.797 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
9.797 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
9.798 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
9.798 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
9.799 * [backup-simplify]: Simplify (+ 0) into 0
9.799 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
9.799 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
9.800 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.801 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
9.801 * [backup-simplify]: Simplify (+ 0 0) into 0
9.801 * [backup-simplify]: Simplify (+ 0) into 0
9.802 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
9.802 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
9.803 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.803 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
9.804 * [backup-simplify]: Simplify (+ 0 0) into 0
9.804 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
9.804 * [backup-simplify]: Simplify (+ 0) into 0
9.805 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
9.805 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
9.806 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.806 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
9.807 * [backup-simplify]: Simplify (+ 0 0) into 0
9.807 * [backup-simplify]: Simplify (+ 0) into 0
9.808 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
9.808 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
9.809 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.809 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
9.810 * [backup-simplify]: Simplify (+ 0 0) into 0
9.810 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
9.810 * [backup-simplify]: Simplify (+ 0 0) into 0
9.811 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
9.811 * [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)))))
9.811 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 th)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))) in th
9.811 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in th
9.811 * [taylor]: Taking taylor expansion of (/ -1 th) in th
9.811 * [taylor]: Taking taylor expansion of -1 in th
9.811 * [backup-simplify]: Simplify -1 into -1
9.811 * [taylor]: Taking taylor expansion of th in th
9.811 * [backup-simplify]: Simplify 0 into 0
9.811 * [backup-simplify]: Simplify 1 into 1
9.812 * [backup-simplify]: Simplify (/ -1 1) into -1
9.812 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
9.812 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 kx)) (sin (/ -1 ky))) in th
9.812 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))))
9.812 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))) in th
9.812 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in th
9.812 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in th
9.812 * [taylor]: Taking taylor expansion of (/ -1 kx) in th
9.813 * [taylor]: Taking taylor expansion of -1 in th
9.813 * [backup-simplify]: Simplify -1 into -1
9.813 * [taylor]: Taking taylor expansion of kx in th
9.813 * [backup-simplify]: Simplify kx into kx
9.813 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
9.813 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
9.813 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
9.813 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in th
9.813 * [taylor]: Taking taylor expansion of (/ -1 kx) in th
9.813 * [taylor]: Taking taylor expansion of -1 in th
9.813 * [backup-simplify]: Simplify -1 into -1
9.813 * [taylor]: Taking taylor expansion of kx in th
9.813 * [backup-simplify]: Simplify kx into kx
9.813 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
9.813 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
9.813 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
9.813 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in th
9.813 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
9.813 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
9.814 * [taylor]: Taking taylor expansion of -1 in th
9.814 * [backup-simplify]: Simplify -1 into -1
9.814 * [taylor]: Taking taylor expansion of ky in th
9.814 * [backup-simplify]: Simplify ky into ky
9.814 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
9.814 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
9.814 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
9.814 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
9.814 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
9.814 * [taylor]: Taking taylor expansion of -1 in th
9.814 * [backup-simplify]: Simplify -1 into -1
9.814 * [taylor]: Taking taylor expansion of ky in th
9.814 * [backup-simplify]: Simplify ky into ky
9.814 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
9.814 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
9.814 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
9.814 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
9.814 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
9.815 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
9.815 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
9.815 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
9.815 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
9.815 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
9.815 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
9.815 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
9.816 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
9.816 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
9.816 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
9.816 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
9.816 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
9.816 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
9.817 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
9.817 * [backup-simplify]: Simplify (+ 0) into 0
9.818 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
9.818 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
9.819 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.819 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
9.820 * [backup-simplify]: Simplify (+ 0 0) into 0
9.820 * [backup-simplify]: Simplify (+ 0) into 0
9.821 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
9.821 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
9.822 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.822 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
9.823 * [backup-simplify]: Simplify (+ 0 0) into 0
9.823 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
9.823 * [backup-simplify]: Simplify (+ 0) into 0
9.824 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
9.824 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
9.825 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.825 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
9.825 * [backup-simplify]: Simplify (+ 0 0) into 0
9.826 * [backup-simplify]: Simplify (+ 0) into 0
9.826 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
9.826 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
9.827 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.827 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
9.827 * [backup-simplify]: Simplify (+ 0 0) into 0
9.827 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
9.827 * [backup-simplify]: Simplify (+ 0 0) into 0
9.828 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
9.828 * [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)))))
9.828 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) in kx
9.828 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in kx
9.828 * [taylor]: Taking taylor expansion of (/ -1 th) in kx
9.828 * [taylor]: Taking taylor expansion of -1 in kx
9.828 * [backup-simplify]: Simplify -1 into -1
9.828 * [taylor]: Taking taylor expansion of th in kx
9.828 * [backup-simplify]: Simplify th into th
9.828 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
9.828 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
9.828 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
9.828 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in kx
9.828 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx
9.828 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx
9.828 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx
9.828 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
9.828 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
9.829 * [taylor]: Taking taylor expansion of -1 in kx
9.829 * [backup-simplify]: Simplify -1 into -1
9.829 * [taylor]: Taking taylor expansion of kx in kx
9.829 * [backup-simplify]: Simplify 0 into 0
9.829 * [backup-simplify]: Simplify 1 into 1
9.829 * [backup-simplify]: Simplify (/ -1 1) into -1
9.829 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
9.829 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx
9.829 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
9.829 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
9.829 * [taylor]: Taking taylor expansion of -1 in kx
9.829 * [backup-simplify]: Simplify -1 into -1
9.829 * [taylor]: Taking taylor expansion of ky in kx
9.829 * [backup-simplify]: Simplify ky into ky
9.829 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
9.829 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
9.829 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
9.829 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
9.829 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
9.829 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
9.829 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
9.830 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
9.830 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
9.830 * [backup-simplify]: Simplify (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
9.830 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))
9.830 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
9.831 * [backup-simplify]: Simplify (+ 0) into 0
9.831 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
9.831 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
9.833 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.833 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
9.834 * [backup-simplify]: Simplify (+ 0 0) into 0
9.834 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
9.834 * [backup-simplify]: Simplify (+ 0 0) into 0
9.834 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
9.835 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
9.835 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
9.835 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
9.835 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
9.835 * [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)))))
9.835 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) in ky
9.835 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in ky
9.835 * [taylor]: Taking taylor expansion of (/ -1 th) in ky
9.835 * [taylor]: Taking taylor expansion of -1 in ky
9.835 * [backup-simplify]: Simplify -1 into -1
9.835 * [taylor]: Taking taylor expansion of th in ky
9.835 * [backup-simplify]: Simplify th into th
9.835 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
9.835 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
9.836 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
9.836 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in ky
9.836 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in ky
9.836 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in ky
9.836 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in ky
9.836 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
9.836 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
9.836 * [taylor]: Taking taylor expansion of -1 in ky
9.836 * [backup-simplify]: Simplify -1 into -1
9.836 * [taylor]: Taking taylor expansion of kx in ky
9.836 * [backup-simplify]: Simplify kx into kx
9.836 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
9.836 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
9.836 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
9.836 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
9.836 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
9.836 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
9.836 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in ky
9.836 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
9.836 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
9.836 * [taylor]: Taking taylor expansion of -1 in ky
9.836 * [backup-simplify]: Simplify -1 into -1
9.836 * [taylor]: Taking taylor expansion of ky in ky
9.836 * [backup-simplify]: Simplify 0 into 0
9.836 * [backup-simplify]: Simplify 1 into 1
9.836 * [backup-simplify]: Simplify (/ -1 1) into -1
9.837 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
9.837 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
9.837 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
9.837 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
9.837 * [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)))
9.837 * [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))))
9.838 * [backup-simplify]: Simplify (+ 0) into 0
9.838 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
9.838 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
9.839 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.839 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
9.839 * [backup-simplify]: Simplify (+ 0 0) into 0
9.839 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
9.839 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
9.840 * [backup-simplify]: Simplify (+ 0 0) into 0
9.840 * [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
9.840 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
9.840 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
9.841 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
9.841 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
9.841 * [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)))))
9.841 * [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)))))
9.842 * [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
9.842 * [taylor]: Taking taylor expansion of 0 in kx
9.842 * [backup-simplify]: Simplify 0 into 0
9.842 * [taylor]: Taking taylor expansion of 0 in ky
9.842 * [backup-simplify]: Simplify 0 into 0
9.842 * [backup-simplify]: Simplify 0 into 0
9.842 * [backup-simplify]: Simplify (+ 0) into 0
9.843 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 1)) into 0
9.843 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
9.843 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.843 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 0)) into 0
9.844 * [backup-simplify]: Simplify (+ 0 0) into 0
9.844 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
9.844 * [taylor]: Taking taylor expansion of 0 in ky
9.844 * [backup-simplify]: Simplify 0 into 0
9.844 * [backup-simplify]: Simplify 0 into 0
9.844 * [backup-simplify]: Simplify (+ 0) into 0
9.845 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 1)) into 0
9.845 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
9.845 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.846 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 0)) into 0
9.846 * [backup-simplify]: Simplify (+ 0 0) into 0
9.846 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
9.846 * [backup-simplify]: Simplify 0 into 0
9.847 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
9.847 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
9.847 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
9.848 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
9.848 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
9.848 * [backup-simplify]: Simplify (+ 0 0) into 0
9.849 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
9.849 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
9.850 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
9.850 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
9.850 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
9.851 * [backup-simplify]: Simplify (+ 0 0) into 0
9.851 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
9.851 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
9.852 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
9.852 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
9.853 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
9.853 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
9.853 * [backup-simplify]: Simplify (+ 0 0) into 0
9.854 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
9.854 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
9.854 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
9.855 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
9.855 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
9.855 * [backup-simplify]: Simplify (+ 0 0) into 0
9.856 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
9.856 * [backup-simplify]: Simplify (+ 0 0) into 0
9.857 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
9.858 * [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
9.859 * [taylor]: Taking taylor expansion of 0 in kx
9.859 * [backup-simplify]: Simplify 0 into 0
9.859 * [taylor]: Taking taylor expansion of 0 in ky
9.859 * [backup-simplify]: Simplify 0 into 0
9.859 * [backup-simplify]: Simplify 0 into 0
9.859 * [taylor]: Taking taylor expansion of 0 in ky
9.859 * [backup-simplify]: Simplify 0 into 0
9.859 * [backup-simplify]: Simplify 0 into 0
9.859 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
9.860 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
9.861 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
9.861 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
9.861 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
9.862 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
9.862 * [backup-simplify]: Simplify (+ 0 0) into 0
9.862 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
9.863 * [backup-simplify]: Simplify (+ 0 0) into 0
9.863 * [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
9.864 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
9.865 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
9.865 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
9.865 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
9.866 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
9.866 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
9.866 * [backup-simplify]: Simplify (+ 0 0) into 0
9.867 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) into 0
9.867 * [taylor]: Taking taylor expansion of 0 in ky
9.867 * [backup-simplify]: Simplify 0 into 0
9.867 * [backup-simplify]: Simplify 0 into 0
9.867 * [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))
9.868 * * * * [progress]: [ 2 / 3 ] generating series at (2)
9.868 * [backup-simplify]: Simplify (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky)))) into (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky)))
9.868 * [approximate]: Taking taylor expansion of (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky))) in (ky th kx) around 0
9.868 * [taylor]: Taking taylor expansion of (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky))) in kx
9.868 * [taylor]: Taking taylor expansion of (* (sin th) (sin ky)) in kx
9.868 * [taylor]: Taking taylor expansion of (sin th) in kx
9.868 * [taylor]: Taking taylor expansion of th in kx
9.868 * [backup-simplify]: Simplify th into th
9.868 * [backup-simplify]: Simplify (sin th) into (sin th)
9.868 * [backup-simplify]: Simplify (cos th) into (cos th)
9.868 * [taylor]: Taking taylor expansion of (sin ky) in kx
9.868 * [taylor]: Taking taylor expansion of ky in kx
9.868 * [backup-simplify]: Simplify ky into ky
9.868 * [backup-simplify]: Simplify (sin ky) into (sin ky)
9.868 * [backup-simplify]: Simplify (cos ky) into (cos ky)
9.868 * [taylor]: Taking taylor expansion of (hypot (sin kx) (sin ky)) in kx
9.868 * [taylor]: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
9.868 * [taylor]: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in kx
9.868 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in kx
9.868 * [taylor]: Taking taylor expansion of (sin kx) in kx
9.868 * [taylor]: Taking taylor expansion of kx in kx
9.868 * [backup-simplify]: Simplify 0 into 0
9.868 * [backup-simplify]: Simplify 1 into 1
9.868 * [taylor]: Taking taylor expansion of (sin kx) in kx
9.868 * [taylor]: Taking taylor expansion of kx in kx
9.868 * [backup-simplify]: Simplify 0 into 0
9.868 * [backup-simplify]: Simplify 1 into 1
9.868 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in kx
9.868 * [taylor]: Taking taylor expansion of (sin ky) in kx
9.868 * [taylor]: Taking taylor expansion of ky in kx
9.868 * [backup-simplify]: Simplify ky into ky
9.868 * [backup-simplify]: Simplify (sin ky) into (sin ky)
9.868 * [backup-simplify]: Simplify (cos ky) into (cos ky)
9.868 * [taylor]: Taking taylor expansion of (sin ky) in kx
9.868 * [taylor]: Taking taylor expansion of ky in kx
9.868 * [backup-simplify]: Simplify ky into ky
9.868 * [backup-simplify]: Simplify (sin ky) into (sin ky)
9.868 * [backup-simplify]: Simplify (cos ky) into (cos ky)
9.869 * [backup-simplify]: Simplify (* 0 0) into 0
9.869 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
9.869 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
9.869 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
9.869 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
9.869 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
9.869 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
9.869 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
9.869 * [backup-simplify]: Simplify (+ 0 (pow (sin ky) 2)) into (pow (sin ky) 2)
9.869 * [backup-simplify]: Simplify (sqrt (pow (sin ky) 2)) into (sin ky)
9.870 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
9.870 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
9.871 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
9.871 * [backup-simplify]: Simplify (+ 0) into 0
9.871 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
9.872 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.872 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
9.872 * [backup-simplify]: Simplify (+ 0 0) into 0
9.872 * [backup-simplify]: Simplify (+ 0) into 0
9.873 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
9.873 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.874 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
9.874 * [backup-simplify]: Simplify (+ 0 0) into 0
9.874 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
9.874 * [backup-simplify]: Simplify (+ 0 0) into 0
9.874 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin ky) 2)))) into 0
9.874 * [backup-simplify]: Simplify (* (sin th) 1) into (sin th)
9.874 * [backup-simplify]: Simplify (* (cos th) 0) into 0
9.874 * [backup-simplify]: Simplify (+ (sin th) 0) into (sin th)
9.875 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
9.875 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
9.875 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
9.875 * [backup-simplify]: Simplify (* (sin th) (sin ky)) into (* (sin th) (sin ky))
9.875 * [backup-simplify]: Simplify (/ (* (sin th) (sin ky)) (sin ky)) into (sin th)
9.875 * [taylor]: Taking taylor expansion of (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky))) in th
9.875 * [taylor]: Taking taylor expansion of (* (sin th) (sin ky)) in th
9.875 * [taylor]: Taking taylor expansion of (sin th) in th
9.875 * [taylor]: Taking taylor expansion of th in th
9.875 * [backup-simplify]: Simplify 0 into 0
9.875 * [backup-simplify]: Simplify 1 into 1
9.875 * [taylor]: Taking taylor expansion of (sin ky) in th
9.875 * [taylor]: Taking taylor expansion of ky in th
9.875 * [backup-simplify]: Simplify ky into ky
9.875 * [backup-simplify]: Simplify (sin ky) into (sin ky)
9.875 * [backup-simplify]: Simplify (cos ky) into (cos ky)
9.875 * [taylor]: Taking taylor expansion of (hypot (sin kx) (sin ky)) in th
9.875 * [taylor]: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
9.875 * [taylor]: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in th
9.875 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in th
9.875 * [taylor]: Taking taylor expansion of (sin kx) in th
9.875 * [taylor]: Taking taylor expansion of kx in th
9.875 * [backup-simplify]: Simplify kx into kx
9.875 * [backup-simplify]: Simplify (sin kx) into (sin kx)
9.875 * [backup-simplify]: Simplify (cos kx) into (cos kx)
9.875 * [taylor]: Taking taylor expansion of (sin kx) in th
9.875 * [taylor]: Taking taylor expansion of kx in th
9.875 * [backup-simplify]: Simplify kx into kx
9.875 * [backup-simplify]: Simplify (sin kx) into (sin kx)
9.875 * [backup-simplify]: Simplify (cos kx) into (cos kx)
9.875 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in th
9.875 * [taylor]: Taking taylor expansion of (sin ky) in th
9.875 * [taylor]: Taking taylor expansion of ky in th
9.875 * [backup-simplify]: Simplify ky into ky
9.875 * [backup-simplify]: Simplify (sin ky) into (sin ky)
9.875 * [backup-simplify]: Simplify (cos ky) into (cos ky)
9.875 * [taylor]: Taking taylor expansion of (sin ky) in th
9.876 * [taylor]: Taking taylor expansion of ky in th
9.876 * [backup-simplify]: Simplify ky into ky
9.876 * [backup-simplify]: Simplify (sin ky) into (sin ky)
9.876 * [backup-simplify]: Simplify (cos ky) into (cos ky)
9.876 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
9.876 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
9.876 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
9.876 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
9.876 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
9.876 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
9.876 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
9.876 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
9.876 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
9.876 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
9.876 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
9.876 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
9.876 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
9.876 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
9.876 * [backup-simplify]: Simplify (+ (pow (sin kx) 2) (pow (sin ky) 2)) into (+ (pow (sin ky) 2) (pow (sin kx) 2))
9.877 * [backup-simplify]: Simplify (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) into (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))
9.877 * [backup-simplify]: Simplify (+ 0) into 0
9.877 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
9.878 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.878 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
9.878 * [backup-simplify]: Simplify (+ 0 0) into 0
9.879 * [backup-simplify]: Simplify (+ 0) into 0
9.879 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
9.879 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.880 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
9.880 * [backup-simplify]: Simplify (+ 0 0) into 0
9.880 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
9.880 * [backup-simplify]: Simplify (+ 0) into 0
9.880 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
9.881 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.881 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
9.881 * [backup-simplify]: Simplify (+ 0 0) into 0
9.882 * [backup-simplify]: Simplify (+ 0) into 0
9.882 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
9.882 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.883 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
9.883 * [backup-simplify]: Simplify (+ 0 0) into 0
9.883 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
9.883 * [backup-simplify]: Simplify (+ 0 0) into 0
9.884 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))) into 0
9.884 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
9.884 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
9.884 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
9.884 * [backup-simplify]: Simplify (* 0 (sin ky)) into 0
9.884 * [backup-simplify]: Simplify (+ 0) into 0
9.884 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
9.885 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.885 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
9.885 * [backup-simplify]: Simplify (+ 0 0) into 0
9.886 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
9.886 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin ky))) into (sin ky)
9.886 * [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))
9.886 * [taylor]: Taking taylor expansion of (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky))) in ky
9.886 * [taylor]: Taking taylor expansion of (* (sin th) (sin ky)) in ky
9.886 * [taylor]: Taking taylor expansion of (sin th) in ky
9.886 * [taylor]: Taking taylor expansion of th in ky
9.886 * [backup-simplify]: Simplify th into th
9.886 * [backup-simplify]: Simplify (sin th) into (sin th)
9.886 * [backup-simplify]: Simplify (cos th) into (cos th)
9.886 * [taylor]: Taking taylor expansion of (sin ky) in ky
9.886 * [taylor]: Taking taylor expansion of ky in ky
9.887 * [backup-simplify]: Simplify 0 into 0
9.887 * [backup-simplify]: Simplify 1 into 1
9.887 * [taylor]: Taking taylor expansion of (hypot (sin kx) (sin ky)) in ky
9.887 * [taylor]: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
9.887 * [taylor]: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in ky
9.887 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
9.887 * [taylor]: Taking taylor expansion of (sin kx) in ky
9.887 * [taylor]: Taking taylor expansion of kx in ky
9.887 * [backup-simplify]: Simplify kx into kx
9.887 * [backup-simplify]: Simplify (sin kx) into (sin kx)
9.887 * [backup-simplify]: Simplify (cos kx) into (cos kx)
9.887 * [taylor]: Taking taylor expansion of (sin kx) in ky
9.887 * [taylor]: Taking taylor expansion of kx in ky
9.887 * [backup-simplify]: Simplify kx into kx
9.887 * [backup-simplify]: Simplify (sin kx) into (sin kx)
9.887 * [backup-simplify]: Simplify (cos kx) into (cos kx)
9.887 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
9.887 * [taylor]: Taking taylor expansion of (sin ky) in ky
9.887 * [taylor]: Taking taylor expansion of ky in ky
9.887 * [backup-simplify]: Simplify 0 into 0
9.887 * [backup-simplify]: Simplify 1 into 1
9.887 * [taylor]: Taking taylor expansion of (sin ky) in ky
9.887 * [taylor]: Taking taylor expansion of ky in ky
9.887 * [backup-simplify]: Simplify 0 into 0
9.887 * [backup-simplify]: Simplify 1 into 1
9.887 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
9.887 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
9.887 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
9.887 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
9.887 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
9.887 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
9.887 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
9.888 * [backup-simplify]: Simplify (* 0 0) into 0
9.888 * [backup-simplify]: Simplify (+ (pow (sin kx) 2) 0) into (pow (sin kx) 2)
9.888 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
9.888 * [backup-simplify]: Simplify (+ 0) into 0
9.888 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
9.889 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.889 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
9.889 * [backup-simplify]: Simplify (+ 0 0) into 0
9.890 * [backup-simplify]: Simplify (+ 0) into 0
9.890 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
9.890 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.891 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
9.891 * [backup-simplify]: Simplify (+ 0 0) into 0
9.891 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
9.891 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
9.892 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
9.892 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
9.893 * [backup-simplify]: Simplify (+ 0 0) into 0
9.893 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
9.893 * [backup-simplify]: Simplify (* (sin th) 1) into (sin th)
9.893 * [backup-simplify]: Simplify (* (cos th) 0) into 0
9.893 * [backup-simplify]: Simplify (+ (sin th) 0) into (sin th)
9.893 * [backup-simplify]: Simplify (* (sin th) 0) into 0
9.894 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
9.894 * [backup-simplify]: Simplify (+ 0) into 0
9.895 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 1)) into 0
9.896 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.896 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 0)) into 0
9.897 * [backup-simplify]: Simplify (+ 0 0) into 0
9.897 * [backup-simplify]: Simplify (+ (* (sin th) 1) (* 0 0)) into (sin th)
9.897 * [backup-simplify]: Simplify (/ (sin th) (sin kx)) into (/ (sin th) (sin kx))
9.897 * [taylor]: Taking taylor expansion of (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky))) in ky
9.897 * [taylor]: Taking taylor expansion of (* (sin th) (sin ky)) in ky
9.897 * [taylor]: Taking taylor expansion of (sin th) in ky
9.897 * [taylor]: Taking taylor expansion of th in ky
9.897 * [backup-simplify]: Simplify th into th
9.897 * [backup-simplify]: Simplify (sin th) into (sin th)
9.897 * [backup-simplify]: Simplify (cos th) into (cos th)
9.898 * [taylor]: Taking taylor expansion of (sin ky) in ky
9.898 * [taylor]: Taking taylor expansion of ky in ky
9.898 * [backup-simplify]: Simplify 0 into 0
9.898 * [backup-simplify]: Simplify 1 into 1
9.898 * [taylor]: Taking taylor expansion of (hypot (sin kx) (sin ky)) in ky
9.898 * [taylor]: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
9.898 * [taylor]: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in ky
9.898 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
9.898 * [taylor]: Taking taylor expansion of (sin kx) in ky
9.898 * [taylor]: Taking taylor expansion of kx in ky
9.898 * [backup-simplify]: Simplify kx into kx
9.898 * [backup-simplify]: Simplify (sin kx) into (sin kx)
9.898 * [backup-simplify]: Simplify (cos kx) into (cos kx)
9.898 * [taylor]: Taking taylor expansion of (sin kx) in ky
9.898 * [taylor]: Taking taylor expansion of kx in ky
9.898 * [backup-simplify]: Simplify kx into kx
9.898 * [backup-simplify]: Simplify (sin kx) into (sin kx)
9.898 * [backup-simplify]: Simplify (cos kx) into (cos kx)
9.898 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
9.898 * [taylor]: Taking taylor expansion of (sin ky) in ky
9.898 * [taylor]: Taking taylor expansion of ky in ky
9.898 * [backup-simplify]: Simplify 0 into 0
9.898 * [backup-simplify]: Simplify 1 into 1
9.898 * [taylor]: Taking taylor expansion of (sin ky) in ky
9.898 * [taylor]: Taking taylor expansion of ky in ky
9.898 * [backup-simplify]: Simplify 0 into 0
9.899 * [backup-simplify]: Simplify 1 into 1
9.899 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
9.899 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
9.899 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
9.899 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
9.899 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
9.899 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
9.899 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
9.900 * [backup-simplify]: Simplify (* 0 0) into 0
9.900 * [backup-simplify]: Simplify (+ (pow (sin kx) 2) 0) into (pow (sin kx) 2)
9.900 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
9.900 * [backup-simplify]: Simplify (+ 0) into 0
9.901 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
9.902 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.902 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
9.903 * [backup-simplify]: Simplify (+ 0 0) into 0
9.903 * [backup-simplify]: Simplify (+ 0) into 0
9.904 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
9.904 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.905 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
9.905 * [backup-simplify]: Simplify (+ 0 0) into 0
9.905 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
9.906 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
9.907 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
9.908 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
9.908 * [backup-simplify]: Simplify (+ 0 0) into 0
9.908 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
9.908 * [backup-simplify]: Simplify (* (sin th) 1) into (sin th)
9.909 * [backup-simplify]: Simplify (* (cos th) 0) into 0
9.909 * [backup-simplify]: Simplify (+ (sin th) 0) into (sin th)
9.909 * [backup-simplify]: Simplify (* (sin th) 0) into 0
9.909 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
9.910 * [backup-simplify]: Simplify (+ 0) into 0
9.910 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 1)) into 0
9.911 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.912 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 0)) into 0
9.912 * [backup-simplify]: Simplify (+ 0 0) into 0
9.912 * [backup-simplify]: Simplify (+ (* (sin th) 1) (* 0 0)) into (sin th)
9.913 * [backup-simplify]: Simplify (/ (sin th) (sin kx)) into (/ (sin th) (sin kx))
9.913 * [taylor]: Taking taylor expansion of (/ (sin th) (sin kx)) in th
9.913 * [taylor]: Taking taylor expansion of (sin th) in th
9.913 * [taylor]: Taking taylor expansion of th in th
9.913 * [backup-simplify]: Simplify 0 into 0
9.913 * [backup-simplify]: Simplify 1 into 1
9.913 * [taylor]: Taking taylor expansion of (sin kx) in th
9.913 * [taylor]: Taking taylor expansion of kx in th
9.913 * [backup-simplify]: Simplify kx into kx
9.913 * [backup-simplify]: Simplify (sin kx) into (sin kx)
9.913 * [backup-simplify]: Simplify (cos kx) into (cos kx)
9.914 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
9.914 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
9.914 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
9.914 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
9.914 * [backup-simplify]: Simplify (/ 1 (sin kx)) into (/ 1 (sin kx))
9.914 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx
9.914 * [taylor]: Taking taylor expansion of (sin kx) in kx
9.914 * [taylor]: Taking taylor expansion of kx in kx
9.914 * [backup-simplify]: Simplify 0 into 0
9.914 * [backup-simplify]: Simplify 1 into 1
9.915 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
9.916 * [backup-simplify]: Simplify (/ 1 1) into 1
9.917 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
9.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.918 * [backup-simplify]: Simplify 0 into 0
9.919 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
9.920 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
9.921 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (* 0 1))) into 0
9.922 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
9.922 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (* 0 0))) into 0
9.922 * [backup-simplify]: Simplify (+ 0 0) into 0
9.923 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 1) (* 0 0))) into 0
9.924 * [backup-simplify]: Simplify (- (/ 0 (sin kx)) (+ (* (/ (sin th) (sin kx)) (/ 0 (sin kx))))) into 0
9.924 * [taylor]: Taking taylor expansion of 0 in th
9.924 * [backup-simplify]: Simplify 0 into 0
9.924 * [taylor]: Taking taylor expansion of 0 in kx
9.924 * [backup-simplify]: Simplify 0 into 0
9.924 * [backup-simplify]: Simplify 0 into 0
9.925 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
9.925 * [backup-simplify]: Simplify (+ 0) into 0
9.925 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
9.926 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.927 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
9.927 * [backup-simplify]: Simplify (+ 0 0) into 0
9.927 * [backup-simplify]: Simplify (- (/ 0 (sin kx)) (+ (* (/ 1 (sin kx)) (/ 0 (sin kx))))) into 0
9.927 * [taylor]: Taking taylor expansion of 0 in kx
9.927 * [backup-simplify]: Simplify 0 into 0
9.927 * [backup-simplify]: Simplify 0 into 0
9.929 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
9.930 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/6
9.930 * [backup-simplify]: Simplify 1/6 into 1/6
9.932 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
9.933 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
9.934 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.935 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
9.936 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
9.936 * [backup-simplify]: Simplify (+ 0 0) into 0
9.937 * [backup-simplify]: Simplify (+ (* (sin th) -1/6) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into (- (* 1/6 (sin th)))
9.938 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
9.939 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
9.940 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
9.940 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
9.941 * [backup-simplify]: Simplify (+ 0 0) into 0
9.941 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
9.942 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
9.943 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
9.944 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
9.944 * [backup-simplify]: Simplify (+ 0 0) into 0
9.944 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 (sin kx)))) into 0
9.945 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
9.946 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
9.947 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
9.947 * [backup-simplify]: Simplify (+ 0 1) into 1
9.948 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sin kx))) into (/ 1/2 (sin kx))
9.949 * [backup-simplify]: Simplify (- (/ (- (* 1/6 (sin th))) (sin kx)) (+ (* (/ (sin th) (sin kx)) (/ (/ 1/2 (sin kx)) (sin kx))) (* 0 (/ 0 (sin kx))))) into (- (+ (* 1/2 (/ (sin th) (pow (sin kx) 3))) (* 1/6 (/ (sin th) (sin kx)))))
9.949 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ (sin th) (pow (sin kx) 3))) (* 1/6 (/ (sin th) (sin kx))))) in th
9.949 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (sin th) (pow (sin kx) 3))) (* 1/6 (/ (sin th) (sin kx)))) in th
9.949 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sin th) (pow (sin kx) 3))) in th
9.949 * [taylor]: Taking taylor expansion of 1/2 in th
9.949 * [backup-simplify]: Simplify 1/2 into 1/2
9.949 * [taylor]: Taking taylor expansion of (/ (sin th) (pow (sin kx) 3)) in th
9.949 * [taylor]: Taking taylor expansion of (sin th) in th
9.949 * [taylor]: Taking taylor expansion of th in th
9.949 * [backup-simplify]: Simplify 0 into 0
9.949 * [backup-simplify]: Simplify 1 into 1
9.949 * [taylor]: Taking taylor expansion of (pow (sin kx) 3) in th
9.949 * [taylor]: Taking taylor expansion of (sin kx) in th
9.949 * [taylor]: Taking taylor expansion of kx in th
9.949 * [backup-simplify]: Simplify kx into kx
9.949 * [backup-simplify]: Simplify (sin kx) into (sin kx)
9.949 * [backup-simplify]: Simplify (cos kx) into (cos kx)
9.949 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
9.949 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
9.950 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
9.950 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
9.950 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
9.951 * [backup-simplify]: Simplify (* (sin kx) (pow (sin kx) 2)) into (pow (sin kx) 3)
9.951 * [backup-simplify]: Simplify (/ 1 (pow (sin kx) 3)) into (/ 1 (pow (sin kx) 3))
9.951 * [taylor]: Taking taylor expansion of (* 1/6 (/ (sin th) (sin kx))) in th
9.951 * [taylor]: Taking taylor expansion of 1/6 in th
9.951 * [backup-simplify]: Simplify 1/6 into 1/6
9.951 * [taylor]: Taking taylor expansion of (/ (sin th) (sin kx)) in th
9.951 * [taylor]: Taking taylor expansion of (sin th) in th
9.951 * [taylor]: Taking taylor expansion of th in th
9.951 * [backup-simplify]: Simplify 0 into 0
9.951 * [backup-simplify]: Simplify 1 into 1
9.951 * [taylor]: Taking taylor expansion of (sin kx) in th
9.951 * [taylor]: Taking taylor expansion of kx in th
9.951 * [backup-simplify]: Simplify kx into kx
9.951 * [backup-simplify]: Simplify (sin kx) into (sin kx)
9.951 * [backup-simplify]: Simplify (cos kx) into (cos kx)
9.952 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
9.952 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
9.952 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
9.952 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
9.952 * [backup-simplify]: Simplify (/ 1 (sin kx)) into (/ 1 (sin kx))
9.953 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow (sin kx) 3))) into (/ 1/2 (pow (sin kx) 3))
9.953 * [backup-simplify]: Simplify (* 1/6 (/ 1 (sin kx))) into (/ 1/6 (sin kx))
9.953 * [backup-simplify]: Simplify (+ (/ 1/2 (pow (sin kx) 3)) (/ 1/6 (sin kx))) into (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))
9.953 * [backup-simplify]: Simplify (- (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))) into (- (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
9.954 * [taylor]: Taking taylor expansion of (- (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))) in kx
9.954 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))) in kx
9.954 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (sin kx))) in kx
9.954 * [taylor]: Taking taylor expansion of 1/6 in kx
9.954 * [backup-simplify]: Simplify 1/6 into 1/6
9.954 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx
9.954 * [taylor]: Taking taylor expansion of (sin kx) in kx
9.954 * [taylor]: Taking taylor expansion of kx in kx
9.954 * [backup-simplify]: Simplify 0 into 0
9.954 * [backup-simplify]: Simplify 1 into 1
9.955 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
9.955 * [backup-simplify]: Simplify (/ 1 1) into 1
9.955 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow (sin kx) 3))) in kx
9.955 * [taylor]: Taking taylor expansion of 1/2 in kx
9.955 * [backup-simplify]: Simplify 1/2 into 1/2
9.955 * [taylor]: Taking taylor expansion of (/ 1 (pow (sin kx) 3)) in kx
9.955 * [taylor]: Taking taylor expansion of (pow (sin kx) 3) in kx
9.955 * [taylor]: Taking taylor expansion of (sin kx) in kx
9.955 * [taylor]: Taking taylor expansion of kx in kx
9.955 * [backup-simplify]: Simplify 0 into 0
9.955 * [backup-simplify]: Simplify 1 into 1
9.956 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
9.956 * [backup-simplify]: Simplify (* 1 1) into 1
9.957 * [backup-simplify]: Simplify (* 1 1) into 1
9.957 * [backup-simplify]: Simplify (/ 1 1) into 1
9.959 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
9.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.960 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 1)) into 0
9.961 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
9.961 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
9.962 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
9.963 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0
9.963 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3
9.964 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.964 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/3) (+ (* -1/6 0) (* 0 1)))) into 0
9.965 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.966 * [backup-simplify]: Simplify (+ (* 1 -1/3) (+ (* 0 0) (* -1/6 1))) into -1/2
9.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/2 1)) (* 0 (/ 0 1)))) into 1/2
9.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/2 1)) (* 1/2 (/ 0 1)))) into 0
9.968 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1/2) (+ (* 0 0) (* 0 1)))) into 0
9.968 * [backup-simplify]: Simplify (+ 0 0) into 0
9.969 * [backup-simplify]: Simplify (- 0) into 0
9.969 * [backup-simplify]: Simplify 0 into 0
9.969 * [taylor]: Taking taylor expansion of 0 in kx
9.969 * [backup-simplify]: Simplify 0 into 0
9.969 * [backup-simplify]: Simplify 0 into 0
9.970 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
9.970 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
9.971 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
9.971 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
9.971 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
9.972 * [backup-simplify]: Simplify (+ 0 0) into 0
9.972 * [backup-simplify]: Simplify (- (/ -1/6 (sin kx)) (+ (* (/ 1 (sin kx)) (/ 0 (sin kx))) (* 0 (/ 0 (sin kx))))) into (- (* 1/6 (/ 1 (sin kx))))
9.972 * [taylor]: Taking taylor expansion of (- (* 1/6 (/ 1 (sin kx)))) in kx
9.972 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (sin kx))) in kx
9.972 * [taylor]: Taking taylor expansion of 1/6 in kx
9.972 * [backup-simplify]: Simplify 1/6 into 1/6
9.972 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx
9.972 * [taylor]: Taking taylor expansion of (sin kx) in kx
9.972 * [taylor]: Taking taylor expansion of kx in kx
9.972 * [backup-simplify]: Simplify 0 into 0
9.972 * [backup-simplify]: Simplify 1 into 1
9.972 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
9.973 * [backup-simplify]: Simplify (/ 1 1) into 1
9.973 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
9.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.974 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 1)) into 0
9.974 * [backup-simplify]: Simplify (- 0) into 0
9.974 * [backup-simplify]: Simplify 0 into 0
9.974 * [backup-simplify]: Simplify 0 into 0
9.974 * [backup-simplify]: Simplify 0 into 0
9.975 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
9.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/6 1)) (* 1/6 (/ 0 1)))) into 0
9.976 * [backup-simplify]: Simplify 0 into 0
9.976 * [backup-simplify]: Simplify (* 1/6 (* kx (* th ky))) into (* 1/6 (* kx (* ky th)))
9.977 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (/ (sin (/ 1 th)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky))))) into (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 kx)) (sin (/ 1 ky))))
9.977 * [approximate]: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) in (ky th kx) around 0
9.977 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) in kx
9.977 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in kx
9.977 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in kx
9.977 * [taylor]: Taking taylor expansion of (/ 1 th) in kx
9.977 * [taylor]: Taking taylor expansion of th in kx
9.977 * [backup-simplify]: Simplify th into th
9.977 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
9.977 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
9.977 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
9.977 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
9.977 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
9.977 * [taylor]: Taking taylor expansion of ky in kx
9.977 * [backup-simplify]: Simplify ky into ky
9.977 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
9.977 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
9.977 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
9.977 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in kx
9.977 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))))
9.977 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in kx
9.977 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in kx
9.977 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
9.977 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
9.977 * [taylor]: Taking taylor expansion of kx in kx
9.977 * [backup-simplify]: Simplify 0 into 0
9.977 * [backup-simplify]: Simplify 1 into 1
9.978 * [backup-simplify]: Simplify (/ 1 1) into 1
9.978 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
9.978 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
9.978 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
9.978 * [taylor]: Taking taylor expansion of kx in kx
9.978 * [backup-simplify]: Simplify 0 into 0
9.978 * [backup-simplify]: Simplify 1 into 1
9.978 * [backup-simplify]: Simplify (/ 1 1) into 1
9.978 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
9.978 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in kx
9.978 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
9.978 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
9.978 * [taylor]: Taking taylor expansion of ky in kx
9.978 * [backup-simplify]: Simplify ky into ky
9.978 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
9.978 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
9.978 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
9.978 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
9.978 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
9.978 * [taylor]: Taking taylor expansion of ky in kx
9.978 * [backup-simplify]: Simplify ky into ky
9.978 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
9.978 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
9.979 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
9.979 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
9.979 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
9.979 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
9.979 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
9.979 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
9.979 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
9.979 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
9.979 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
9.979 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
9.980 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
9.980 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
9.980 * [backup-simplify]: Simplify (+ 0) into 0
9.980 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
9.980 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
9.981 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.981 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
9.981 * [backup-simplify]: Simplify (+ 0 0) into 0
9.982 * [backup-simplify]: Simplify (+ 0) into 0
9.982 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
9.982 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
9.982 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.983 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
9.983 * [backup-simplify]: Simplify (+ 0 0) into 0
9.983 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
9.983 * [backup-simplify]: Simplify (+ 0 0) into 0
9.984 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
9.984 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
9.984 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
9.984 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
9.984 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
9.984 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
9.984 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
9.984 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
9.985 * [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)))))
9.985 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) in th
9.985 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in th
9.985 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in th
9.985 * [taylor]: Taking taylor expansion of (/ 1 th) in th
9.985 * [taylor]: Taking taylor expansion of th in th
9.985 * [backup-simplify]: Simplify 0 into 0
9.985 * [backup-simplify]: Simplify 1 into 1
9.985 * [backup-simplify]: Simplify (/ 1 1) into 1
9.985 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
9.985 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
9.985 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
9.985 * [taylor]: Taking taylor expansion of ky in th
9.985 * [backup-simplify]: Simplify ky into ky
9.985 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
9.985 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
9.986 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
9.986 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in th
9.986 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))))
9.986 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in th
9.986 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in th
9.986 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in th
9.986 * [taylor]: Taking taylor expansion of (/ 1 kx) in th
9.986 * [taylor]: Taking taylor expansion of kx in th
9.986 * [backup-simplify]: Simplify kx into kx
9.986 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
9.986 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
9.986 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
9.986 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in th
9.986 * [taylor]: Taking taylor expansion of (/ 1 kx) in th
9.986 * [taylor]: Taking taylor expansion of kx in th
9.986 * [backup-simplify]: Simplify kx into kx
9.986 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
9.986 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
9.986 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
9.986 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in th
9.986 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
9.986 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
9.987 * [taylor]: Taking taylor expansion of ky in th
9.987 * [backup-simplify]: Simplify ky into ky
9.987 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
9.987 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
9.987 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
9.987 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
9.987 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
9.987 * [taylor]: Taking taylor expansion of ky in th
9.987 * [backup-simplify]: Simplify ky into ky
9.987 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
9.987 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
9.987 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
9.987 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
9.987 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
9.987 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
9.988 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
9.988 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
9.988 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
9.988 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
9.988 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
9.988 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
9.988 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
9.988 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
9.989 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
9.989 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
9.989 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
9.989 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
9.990 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
9.990 * [backup-simplify]: Simplify (+ 0) into 0
9.991 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
9.991 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
9.992 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.992 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
9.993 * [backup-simplify]: Simplify (+ 0 0) into 0
9.993 * [backup-simplify]: Simplify (+ 0) into 0
9.994 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
9.994 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
9.995 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.995 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
9.996 * [backup-simplify]: Simplify (+ 0 0) into 0
9.996 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
9.996 * [backup-simplify]: Simplify (+ 0) into 0
9.997 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
9.997 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
9.998 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.998 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
9.999 * [backup-simplify]: Simplify (+ 0 0) into 0
9.999 * [backup-simplify]: Simplify (+ 0) into 0
10.000 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
10.000 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
10.001 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.001 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
10.002 * [backup-simplify]: Simplify (+ 0 0) into 0
10.002 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
10.002 * [backup-simplify]: Simplify (+ 0 0) into 0
10.003 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
10.003 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
10.003 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
10.003 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
10.003 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
10.004 * [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)))))
10.004 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) in ky
10.004 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in ky
10.004 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in ky
10.004 * [taylor]: Taking taylor expansion of (/ 1 th) in ky
10.004 * [taylor]: Taking taylor expansion of th in ky
10.004 * [backup-simplify]: Simplify th into th
10.004 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
10.004 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
10.004 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
10.004 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
10.004 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
10.004 * [taylor]: Taking taylor expansion of ky in ky
10.004 * [backup-simplify]: Simplify 0 into 0
10.004 * [backup-simplify]: Simplify 1 into 1
10.005 * [backup-simplify]: Simplify (/ 1 1) into 1
10.005 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
10.005 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in ky
10.005 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))))
10.005 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in ky
10.005 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
10.005 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
10.005 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
10.005 * [taylor]: Taking taylor expansion of kx in ky
10.005 * [backup-simplify]: Simplify kx into kx
10.005 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
10.005 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
10.006 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
10.006 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
10.006 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
10.006 * [taylor]: Taking taylor expansion of kx in ky
10.006 * [backup-simplify]: Simplify kx into kx
10.006 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
10.006 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
10.006 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
10.006 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
10.006 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
10.006 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
10.006 * [taylor]: Taking taylor expansion of ky in ky
10.006 * [backup-simplify]: Simplify 0 into 0
10.006 * [backup-simplify]: Simplify 1 into 1
10.006 * [backup-simplify]: Simplify (/ 1 1) into 1
10.007 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
10.007 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
10.007 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
10.007 * [taylor]: Taking taylor expansion of ky in ky
10.007 * [backup-simplify]: Simplify 0 into 0
10.007 * [backup-simplify]: Simplify 1 into 1
10.007 * [backup-simplify]: Simplify (/ 1 1) into 1
10.007 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
10.007 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
10.008 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
10.008 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
10.008 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
10.008 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
10.008 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
10.008 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
10.008 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
10.009 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
10.009 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
10.010 * [backup-simplify]: Simplify (+ 0) into 0
10.010 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
10.010 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
10.011 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.012 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
10.012 * [backup-simplify]: Simplify (+ 0 0) into 0
10.012 * [backup-simplify]: Simplify (+ 0) into 0
10.013 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
10.013 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
10.014 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.014 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
10.015 * [backup-simplify]: Simplify (+ 0 0) into 0
10.015 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
10.015 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
10.015 * [backup-simplify]: Simplify (+ 0 0) into 0
10.016 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
10.016 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
10.016 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
10.016 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
10.017 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
10.017 * [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)))))
10.017 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) in ky
10.017 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in ky
10.017 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in ky
10.017 * [taylor]: Taking taylor expansion of (/ 1 th) in ky
10.017 * [taylor]: Taking taylor expansion of th in ky
10.017 * [backup-simplify]: Simplify th into th
10.017 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
10.017 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
10.018 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
10.018 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
10.018 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
10.018 * [taylor]: Taking taylor expansion of ky in ky
10.018 * [backup-simplify]: Simplify 0 into 0
10.018 * [backup-simplify]: Simplify 1 into 1
10.018 * [backup-simplify]: Simplify (/ 1 1) into 1
10.018 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
10.018 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in ky
10.019 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))))
10.019 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in ky
10.019 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
10.019 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
10.019 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
10.019 * [taylor]: Taking taylor expansion of kx in ky
10.019 * [backup-simplify]: Simplify kx into kx
10.019 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
10.019 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
10.019 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
10.019 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
10.019 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
10.019 * [taylor]: Taking taylor expansion of kx in ky
10.019 * [backup-simplify]: Simplify kx into kx
10.019 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
10.019 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
10.019 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
10.019 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
10.019 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
10.019 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
10.019 * [taylor]: Taking taylor expansion of ky in ky
10.019 * [backup-simplify]: Simplify 0 into 0
10.020 * [backup-simplify]: Simplify 1 into 1
10.020 * [backup-simplify]: Simplify (/ 1 1) into 1
10.020 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
10.020 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
10.020 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
10.020 * [taylor]: Taking taylor expansion of ky in ky
10.020 * [backup-simplify]: Simplify 0 into 0
10.020 * [backup-simplify]: Simplify 1 into 1
10.021 * [backup-simplify]: Simplify (/ 1 1) into 1
10.021 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
10.021 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
10.021 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
10.021 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
10.021 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
10.021 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
10.021 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
10.021 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
10.022 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
10.022 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
10.022 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
10.023 * [backup-simplify]: Simplify (+ 0) into 0
10.024 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
10.024 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
10.024 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.025 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
10.025 * [backup-simplify]: Simplify (+ 0 0) into 0
10.026 * [backup-simplify]: Simplify (+ 0) into 0
10.027 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
10.027 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
10.028 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.028 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
10.028 * [backup-simplify]: Simplify (+ 0 0) into 0
10.029 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
10.029 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
10.029 * [backup-simplify]: Simplify (+ 0 0) into 0
10.030 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
10.030 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
10.030 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
10.030 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
10.030 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
10.031 * [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)))))
10.031 * [taylor]: Taking taylor expansion of (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) in th
10.031 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in th
10.031 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in th
10.031 * [taylor]: Taking taylor expansion of (/ 1 th) in th
10.031 * [taylor]: Taking taylor expansion of th in th
10.031 * [backup-simplify]: Simplify 0 into 0
10.031 * [backup-simplify]: Simplify 1 into 1
10.031 * [backup-simplify]: Simplify (/ 1 1) into 1
10.032 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
10.032 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
10.032 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
10.032 * [taylor]: Taking taylor expansion of ky in th
10.032 * [backup-simplify]: Simplify ky into ky
10.032 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
10.032 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
10.032 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
10.032 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in th
10.032 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in th
10.032 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in th
10.032 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in th
10.032 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in th
10.032 * [taylor]: Taking taylor expansion of (/ 1 kx) in th
10.032 * [taylor]: Taking taylor expansion of kx in th
10.032 * [backup-simplify]: Simplify kx into kx
10.032 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
10.032 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
10.032 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
10.032 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
10.033 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
10.033 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
10.033 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in th
10.033 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
10.033 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
10.033 * [taylor]: Taking taylor expansion of ky in th
10.033 * [backup-simplify]: Simplify ky into ky
10.033 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
10.033 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
10.033 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
10.033 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
10.033 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
10.033 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
10.034 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
10.034 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
10.034 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
10.034 * [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)))
10.035 * [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))))
10.035 * [backup-simplify]: Simplify (+ 0) into 0
10.036 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
10.036 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
10.037 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.037 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
10.038 * [backup-simplify]: Simplify (+ 0 0) into 0
10.038 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
10.038 * [backup-simplify]: Simplify (+ 0) into 0
10.039 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
10.039 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
10.040 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.040 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
10.041 * [backup-simplify]: Simplify (+ 0 0) into 0
10.041 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
10.041 * [backup-simplify]: Simplify (+ 0 0) into 0
10.042 * [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
10.043 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
10.043 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
10.043 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
10.043 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
10.043 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
10.044 * [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)))))
10.044 * [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
10.044 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in kx
10.044 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in kx
10.044 * [taylor]: Taking taylor expansion of (/ 1 th) in kx
10.044 * [taylor]: Taking taylor expansion of th in kx
10.044 * [backup-simplify]: Simplify th into th
10.044 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
10.044 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
10.044 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
10.044 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
10.044 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
10.044 * [taylor]: Taking taylor expansion of ky in kx
10.044 * [backup-simplify]: Simplify ky into ky
10.044 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
10.044 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
10.044 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
10.044 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in kx
10.044 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx
10.044 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx
10.044 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx
10.045 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
10.045 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
10.045 * [taylor]: Taking taylor expansion of kx in kx
10.045 * [backup-simplify]: Simplify 0 into 0
10.045 * [backup-simplify]: Simplify 1 into 1
10.045 * [backup-simplify]: Simplify (/ 1 1) into 1
10.045 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
10.045 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx
10.045 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
10.045 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
10.045 * [taylor]: Taking taylor expansion of ky in kx
10.045 * [backup-simplify]: Simplify ky into ky
10.045 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
10.045 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
10.045 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
10.045 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
10.045 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
10.045 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
10.045 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
10.046 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
10.046 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
10.046 * [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)))
10.046 * [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))))
10.046 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
10.047 * [backup-simplify]: Simplify (+ 0) into 0
10.047 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
10.047 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
10.048 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.048 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
10.048 * [backup-simplify]: Simplify (+ 0 0) into 0
10.048 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
10.048 * [backup-simplify]: Simplify (+ 0 0) into 0
10.049 * [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
10.049 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
10.049 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
10.049 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
10.049 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
10.049 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
10.049 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
10.050 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
10.050 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
10.050 * [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)))))
10.050 * [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)))))
10.051 * [backup-simplify]: Simplify (+ 0) into 0
10.051 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 1)) into 0
10.051 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
10.051 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.052 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 0)) into 0
10.052 * [backup-simplify]: Simplify (+ 0 0) into 0
10.052 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 (sin (/ 1 ky)))) into 0
10.053 * [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
10.053 * [taylor]: Taking taylor expansion of 0 in th
10.053 * [backup-simplify]: Simplify 0 into 0
10.053 * [taylor]: Taking taylor expansion of 0 in kx
10.053 * [backup-simplify]: Simplify 0 into 0
10.053 * [backup-simplify]: Simplify 0 into 0
10.053 * [backup-simplify]: Simplify (+ 0) into 0
10.054 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
10.054 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
10.054 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.054 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
10.055 * [backup-simplify]: Simplify (+ 0 0) into 0
10.055 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 (sin (/ 1 ky)))) into 0
10.055 * [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
10.055 * [taylor]: Taking taylor expansion of 0 in kx
10.055 * [backup-simplify]: Simplify 0 into 0
10.055 * [backup-simplify]: Simplify 0 into 0
10.056 * [backup-simplify]: Simplify (+ 0) into 0
10.056 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
10.056 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
10.056 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.057 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
10.057 * [backup-simplify]: Simplify (+ 0 0) into 0
10.057 * [backup-simplify]: Simplify (+ 0) into 0
10.057 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 1)) into 0
10.058 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
10.058 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.058 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 0)) into 0
10.059 * [backup-simplify]: Simplify (+ 0 0) into 0
10.059 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 (sin (/ 1 ky)))) into 0
10.059 * [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
10.059 * [backup-simplify]: Simplify 0 into 0
10.060 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.060 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
10.060 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
10.061 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.061 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
10.061 * [backup-simplify]: Simplify (+ 0 0) into 0
10.062 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
10.062 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.063 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
10.063 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
10.063 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.064 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
10.064 * [backup-simplify]: Simplify (+ 0 0) into 0
10.064 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.065 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
10.065 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
10.065 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.066 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
10.066 * [backup-simplify]: Simplify (+ 0 0) into 0
10.066 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
10.067 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
10.067 * [backup-simplify]: Simplify (+ 0 0) into 0
10.068 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
10.069 * [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
10.069 * [taylor]: Taking taylor expansion of 0 in th
10.069 * [backup-simplify]: Simplify 0 into 0
10.069 * [taylor]: Taking taylor expansion of 0 in kx
10.069 * [backup-simplify]: Simplify 0 into 0
10.069 * [backup-simplify]: Simplify 0 into 0
10.069 * [taylor]: Taking taylor expansion of 0 in kx
10.069 * [backup-simplify]: Simplify 0 into 0
10.069 * [backup-simplify]: Simplify 0 into 0
10.069 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.070 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
10.070 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
10.070 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.071 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
10.071 * [backup-simplify]: Simplify (+ 0 0) into 0
10.071 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
10.072 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.073 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
10.073 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
10.074 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.074 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
10.074 * [backup-simplify]: Simplify (+ 0 0) into 0
10.075 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
10.075 * [backup-simplify]: Simplify (+ 0 0) into 0
10.077 * [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)))) (* 0 (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
10.078 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
10.079 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.080 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
10.080 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
10.081 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.081 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
10.082 * [backup-simplify]: Simplify (+ 0 0) into 0
10.082 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
10.083 * [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
10.083 * [taylor]: Taking taylor expansion of 0 in kx
10.083 * [backup-simplify]: Simplify 0 into 0
10.084 * [backup-simplify]: Simplify 0 into 0
10.084 * [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)))
10.085 * [backup-simplify]: Simplify (* (sin (/ 1 (- ky))) (/ (sin (/ 1 (- th))) (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky)))))) into (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 kx)) (sin (/ -1 ky))))
10.085 * [approximate]: Taking taylor expansion of (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))) in (ky th kx) around 0
10.085 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))) in kx
10.085 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in kx
10.085 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in kx
10.085 * [taylor]: Taking taylor expansion of (/ -1 th) in kx
10.085 * [taylor]: Taking taylor expansion of -1 in kx
10.085 * [backup-simplify]: Simplify -1 into -1
10.085 * [taylor]: Taking taylor expansion of th in kx
10.085 * [backup-simplify]: Simplify th into th
10.085 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
10.085 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
10.085 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
10.085 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
10.085 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
10.085 * [taylor]: Taking taylor expansion of -1 in kx
10.085 * [backup-simplify]: Simplify -1 into -1
10.085 * [taylor]: Taking taylor expansion of ky in kx
10.085 * [backup-simplify]: Simplify ky into ky
10.085 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
10.085 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
10.085 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
10.085 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 kx)) (sin (/ -1 ky))) in kx
10.086 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))))
10.086 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))) in kx
10.086 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in kx
10.086 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
10.086 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
10.086 * [taylor]: Taking taylor expansion of -1 in kx
10.086 * [backup-simplify]: Simplify -1 into -1
10.086 * [taylor]: Taking taylor expansion of kx in kx
10.086 * [backup-simplify]: Simplify 0 into 0
10.086 * [backup-simplify]: Simplify 1 into 1
10.086 * [backup-simplify]: Simplify (/ -1 1) into -1
10.087 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
10.087 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
10.087 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
10.087 * [taylor]: Taking taylor expansion of -1 in kx
10.087 * [backup-simplify]: Simplify -1 into -1
10.087 * [taylor]: Taking taylor expansion of kx in kx
10.087 * [backup-simplify]: Simplify 0 into 0
10.087 * [backup-simplify]: Simplify 1 into 1
10.087 * [backup-simplify]: Simplify (/ -1 1) into -1
10.087 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
10.087 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in kx
10.087 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
10.087 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
10.087 * [taylor]: Taking taylor expansion of -1 in kx
10.088 * [backup-simplify]: Simplify -1 into -1
10.088 * [taylor]: Taking taylor expansion of ky in kx
10.088 * [backup-simplify]: Simplify ky into ky
10.088 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
10.088 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
10.088 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
10.088 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
10.088 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
10.088 * [taylor]: Taking taylor expansion of -1 in kx
10.088 * [backup-simplify]: Simplify -1 into -1
10.088 * [taylor]: Taking taylor expansion of ky in kx
10.088 * [backup-simplify]: Simplify ky into ky
10.088 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
10.088 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
10.088 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
10.088 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
10.089 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
10.089 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
10.089 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
10.089 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
10.089 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
10.089 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
10.089 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
10.090 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
10.090 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
10.090 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
10.091 * [backup-simplify]: Simplify (+ 0) into 0
10.091 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
10.092 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
10.093 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.095 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
10.096 * [backup-simplify]: Simplify (+ 0 0) into 0
10.096 * [backup-simplify]: Simplify (+ 0) into 0
10.097 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
10.097 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
10.098 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.098 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
10.099 * [backup-simplify]: Simplify (+ 0 0) into 0
10.099 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
10.099 * [backup-simplify]: Simplify (+ 0 0) into 0
10.100 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
10.100 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
10.100 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
10.100 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
10.100 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
10.101 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
10.101 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
10.101 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
10.101 * [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)))))
10.101 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))) in th
10.101 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in th
10.101 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in th
10.101 * [taylor]: Taking taylor expansion of (/ -1 th) in th
10.102 * [taylor]: Taking taylor expansion of -1 in th
10.102 * [backup-simplify]: Simplify -1 into -1
10.102 * [taylor]: Taking taylor expansion of th in th
10.102 * [backup-simplify]: Simplify 0 into 0
10.102 * [backup-simplify]: Simplify 1 into 1
10.102 * [backup-simplify]: Simplify (/ -1 1) into -1
10.102 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
10.102 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
10.102 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
10.102 * [taylor]: Taking taylor expansion of -1 in th
10.102 * [backup-simplify]: Simplify -1 into -1
10.102 * [taylor]: Taking taylor expansion of ky in th
10.102 * [backup-simplify]: Simplify ky into ky
10.102 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
10.103 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
10.103 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
10.103 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 kx)) (sin (/ -1 ky))) in th
10.103 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))))
10.103 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))) in th
10.103 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in th
10.103 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in th
10.103 * [taylor]: Taking taylor expansion of (/ -1 kx) in th
10.103 * [taylor]: Taking taylor expansion of -1 in th
10.103 * [backup-simplify]: Simplify -1 into -1
10.103 * [taylor]: Taking taylor expansion of kx in th
10.103 * [backup-simplify]: Simplify kx into kx
10.103 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
10.103 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
10.103 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
10.103 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in th
10.103 * [taylor]: Taking taylor expansion of (/ -1 kx) in th
10.103 * [taylor]: Taking taylor expansion of -1 in th
10.103 * [backup-simplify]: Simplify -1 into -1
10.103 * [taylor]: Taking taylor expansion of kx in th
10.103 * [backup-simplify]: Simplify kx into kx
10.104 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
10.104 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
10.104 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
10.104 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in th
10.104 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
10.104 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
10.104 * [taylor]: Taking taylor expansion of -1 in th
10.104 * [backup-simplify]: Simplify -1 into -1
10.104 * [taylor]: Taking taylor expansion of ky in th
10.104 * [backup-simplify]: Simplify ky into ky
10.104 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
10.104 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
10.104 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
10.104 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
10.104 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
10.104 * [taylor]: Taking taylor expansion of -1 in th
10.104 * [backup-simplify]: Simplify -1 into -1
10.104 * [taylor]: Taking taylor expansion of ky in th
10.104 * [backup-simplify]: Simplify ky into ky
10.104 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
10.104 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
10.104 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
10.105 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
10.105 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
10.105 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
10.105 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
10.105 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
10.105 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
10.105 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
10.105 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
10.106 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
10.106 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
10.106 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
10.106 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
10.106 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
10.106 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
10.107 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
10.107 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
10.107 * [backup-simplify]: Simplify (+ 0) into 0
10.108 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
10.108 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
10.109 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.109 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
10.110 * [backup-simplify]: Simplify (+ 0 0) into 0
10.110 * [backup-simplify]: Simplify (+ 0) into 0
10.111 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
10.111 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
10.112 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.112 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
10.113 * [backup-simplify]: Simplify (+ 0 0) into 0
10.113 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
10.113 * [backup-simplify]: Simplify (+ 0) into 0
10.114 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
10.114 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
10.115 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.115 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
10.116 * [backup-simplify]: Simplify (+ 0 0) into 0
10.116 * [backup-simplify]: Simplify (+ 0) into 0
10.117 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
10.117 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
10.118 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.118 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
10.119 * [backup-simplify]: Simplify (+ 0 0) into 0
10.119 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
10.119 * [backup-simplify]: Simplify (+ 0 0) into 0
10.120 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
10.120 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
10.120 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
10.120 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
10.120 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
10.121 * [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)))))
10.121 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))) in ky
10.121 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in ky
10.121 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in ky
10.121 * [taylor]: Taking taylor expansion of (/ -1 th) in ky
10.121 * [taylor]: Taking taylor expansion of -1 in ky
10.121 * [backup-simplify]: Simplify -1 into -1
10.121 * [taylor]: Taking taylor expansion of th in ky
10.121 * [backup-simplify]: Simplify th into th
10.121 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
10.121 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
10.121 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
10.121 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
10.121 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
10.121 * [taylor]: Taking taylor expansion of -1 in ky
10.121 * [backup-simplify]: Simplify -1 into -1
10.121 * [taylor]: Taking taylor expansion of ky in ky
10.121 * [backup-simplify]: Simplify 0 into 0
10.121 * [backup-simplify]: Simplify 1 into 1
10.122 * [backup-simplify]: Simplify (/ -1 1) into -1
10.122 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
10.122 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 kx)) (sin (/ -1 ky))) in ky
10.122 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))))
10.122 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))) in ky
10.122 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
10.122 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
10.122 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
10.122 * [taylor]: Taking taylor expansion of -1 in ky
10.122 * [backup-simplify]: Simplify -1 into -1
10.122 * [taylor]: Taking taylor expansion of kx in ky
10.123 * [backup-simplify]: Simplify kx into kx
10.123 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
10.123 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
10.123 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
10.123 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
10.123 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
10.123 * [taylor]: Taking taylor expansion of -1 in ky
10.123 * [backup-simplify]: Simplify -1 into -1
10.123 * [taylor]: Taking taylor expansion of kx in ky
10.123 * [backup-simplify]: Simplify kx into kx
10.123 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
10.123 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
10.123 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
10.123 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
10.123 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
10.123 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
10.123 * [taylor]: Taking taylor expansion of -1 in ky
10.123 * [backup-simplify]: Simplify -1 into -1
10.123 * [taylor]: Taking taylor expansion of ky in ky
10.123 * [backup-simplify]: Simplify 0 into 0
10.123 * [backup-simplify]: Simplify 1 into 1
10.124 * [backup-simplify]: Simplify (/ -1 1) into -1
10.124 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
10.124 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
10.124 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
10.124 * [taylor]: Taking taylor expansion of -1 in ky
10.124 * [backup-simplify]: Simplify -1 into -1
10.124 * [taylor]: Taking taylor expansion of ky in ky
10.124 * [backup-simplify]: Simplify 0 into 0
10.124 * [backup-simplify]: Simplify 1 into 1
10.125 * [backup-simplify]: Simplify (/ -1 1) into -1
10.125 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
10.125 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
10.125 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
10.125 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
10.125 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
10.125 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
10.125 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
10.126 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
10.126 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
10.126 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
10.127 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
10.127 * [backup-simplify]: Simplify (+ 0) into 0
10.128 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
10.128 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
10.129 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.129 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
10.130 * [backup-simplify]: Simplify (+ 0 0) into 0
10.130 * [backup-simplify]: Simplify (+ 0) into 0
10.131 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
10.131 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
10.132 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.132 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
10.132 * [backup-simplify]: Simplify (+ 0 0) into 0
10.133 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
10.133 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
10.133 * [backup-simplify]: Simplify (+ 0 0) into 0
10.134 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
10.134 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
10.134 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
10.134 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
10.134 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
10.135 * [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)))))
10.135 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))) in ky
10.135 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in ky
10.135 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in ky
10.135 * [taylor]: Taking taylor expansion of (/ -1 th) in ky
10.135 * [taylor]: Taking taylor expansion of -1 in ky
10.135 * [backup-simplify]: Simplify -1 into -1
10.135 * [taylor]: Taking taylor expansion of th in ky
10.135 * [backup-simplify]: Simplify th into th
10.135 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
10.135 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
10.135 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
10.135 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
10.135 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
10.135 * [taylor]: Taking taylor expansion of -1 in ky
10.135 * [backup-simplify]: Simplify -1 into -1
10.136 * [taylor]: Taking taylor expansion of ky in ky
10.136 * [backup-simplify]: Simplify 0 into 0
10.136 * [backup-simplify]: Simplify 1 into 1
10.136 * [backup-simplify]: Simplify (/ -1 1) into -1
10.136 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
10.136 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 kx)) (sin (/ -1 ky))) in ky
10.137 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))))
10.137 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))) in ky
10.137 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
10.137 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
10.137 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
10.137 * [taylor]: Taking taylor expansion of -1 in ky
10.137 * [backup-simplify]: Simplify -1 into -1
10.137 * [taylor]: Taking taylor expansion of kx in ky
10.137 * [backup-simplify]: Simplify kx into kx
10.137 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
10.137 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
10.137 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
10.137 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
10.137 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
10.137 * [taylor]: Taking taylor expansion of -1 in ky
10.137 * [backup-simplify]: Simplify -1 into -1
10.137 * [taylor]: Taking taylor expansion of kx in ky
10.137 * [backup-simplify]: Simplify kx into kx
10.137 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
10.137 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
10.137 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
10.138 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
10.138 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
10.138 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
10.138 * [taylor]: Taking taylor expansion of -1 in ky
10.138 * [backup-simplify]: Simplify -1 into -1
10.138 * [taylor]: Taking taylor expansion of ky in ky
10.138 * [backup-simplify]: Simplify 0 into 0
10.138 * [backup-simplify]: Simplify 1 into 1
10.138 * [backup-simplify]: Simplify (/ -1 1) into -1
10.138 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
10.138 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
10.138 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
10.138 * [taylor]: Taking taylor expansion of -1 in ky
10.138 * [backup-simplify]: Simplify -1 into -1
10.138 * [taylor]: Taking taylor expansion of ky in ky
10.138 * [backup-simplify]: Simplify 0 into 0
10.139 * [backup-simplify]: Simplify 1 into 1
10.139 * [backup-simplify]: Simplify (/ -1 1) into -1
10.139 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
10.139 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
10.139 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
10.139 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
10.140 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
10.140 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
10.140 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
10.140 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
10.140 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
10.140 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
10.141 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
10.141 * [backup-simplify]: Simplify (+ 0) into 0
10.142 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
10.142 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
10.143 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.143 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
10.144 * [backup-simplify]: Simplify (+ 0 0) into 0
10.144 * [backup-simplify]: Simplify (+ 0) into 0
10.145 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
10.145 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
10.146 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.146 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
10.146 * [backup-simplify]: Simplify (+ 0 0) into 0
10.147 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
10.147 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
10.147 * [backup-simplify]: Simplify (+ 0 0) into 0
10.148 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
10.148 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
10.148 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
10.148 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
10.148 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
10.149 * [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)))))
10.149 * [taylor]: Taking taylor expansion of (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) in th
10.149 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in th
10.149 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in th
10.149 * [taylor]: Taking taylor expansion of (/ -1 th) in th
10.149 * [taylor]: Taking taylor expansion of -1 in th
10.149 * [backup-simplify]: Simplify -1 into -1
10.149 * [taylor]: Taking taylor expansion of th in th
10.149 * [backup-simplify]: Simplify 0 into 0
10.149 * [backup-simplify]: Simplify 1 into 1
10.150 * [backup-simplify]: Simplify (/ -1 1) into -1
10.150 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
10.150 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
10.150 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
10.150 * [taylor]: Taking taylor expansion of -1 in th
10.150 * [backup-simplify]: Simplify -1 into -1
10.150 * [taylor]: Taking taylor expansion of ky in th
10.150 * [backup-simplify]: Simplify ky into ky
10.150 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
10.150 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
10.150 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
10.150 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in th
10.150 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in th
10.150 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in th
10.150 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in th
10.151 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in th
10.151 * [taylor]: Taking taylor expansion of (/ -1 kx) in th
10.151 * [taylor]: Taking taylor expansion of -1 in th
10.151 * [backup-simplify]: Simplify -1 into -1
10.151 * [taylor]: Taking taylor expansion of kx in th
10.151 * [backup-simplify]: Simplify kx into kx
10.151 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
10.151 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
10.151 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
10.151 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
10.151 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
10.151 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
10.151 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in th
10.151 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
10.151 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
10.151 * [taylor]: Taking taylor expansion of -1 in th
10.151 * [backup-simplify]: Simplify -1 into -1
10.152 * [taylor]: Taking taylor expansion of ky in th
10.152 * [backup-simplify]: Simplify ky into ky
10.152 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
10.152 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
10.152 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
10.152 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
10.152 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
10.152 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
10.152 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
10.152 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
10.153 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
10.153 * [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)))
10.154 * [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))))
10.154 * [backup-simplify]: Simplify (+ 0) into 0
10.155 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
10.155 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
10.156 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.156 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
10.157 * [backup-simplify]: Simplify (+ 0 0) into 0
10.157 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
10.157 * [backup-simplify]: Simplify (+ 0) into 0
10.158 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
10.158 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
10.159 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.159 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
10.160 * [backup-simplify]: Simplify (+ 0 0) into 0
10.160 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
10.160 * [backup-simplify]: Simplify (+ 0 0) into 0
10.161 * [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
10.161 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
10.162 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
10.162 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
10.162 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
10.162 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
10.163 * [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)))))
10.163 * [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
10.163 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in kx
10.163 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in kx
10.163 * [taylor]: Taking taylor expansion of (/ -1 th) in kx
10.163 * [taylor]: Taking taylor expansion of -1 in kx
10.163 * [backup-simplify]: Simplify -1 into -1
10.163 * [taylor]: Taking taylor expansion of th in kx
10.163 * [backup-simplify]: Simplify th into th
10.163 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
10.163 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
10.163 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
10.163 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
10.163 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
10.163 * [taylor]: Taking taylor expansion of -1 in kx
10.163 * [backup-simplify]: Simplify -1 into -1
10.163 * [taylor]: Taking taylor expansion of ky in kx
10.163 * [backup-simplify]: Simplify ky into ky
10.163 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
10.163 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
10.163 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
10.163 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in kx
10.163 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx
10.163 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx
10.164 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx
10.164 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
10.164 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
10.164 * [taylor]: Taking taylor expansion of -1 in kx
10.164 * [backup-simplify]: Simplify -1 into -1
10.164 * [taylor]: Taking taylor expansion of kx in kx
10.164 * [backup-simplify]: Simplify 0 into 0
10.164 * [backup-simplify]: Simplify 1 into 1
10.164 * [backup-simplify]: Simplify (/ -1 1) into -1
10.164 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
10.164 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx
10.164 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
10.164 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
10.164 * [taylor]: Taking taylor expansion of -1 in kx
10.165 * [backup-simplify]: Simplify -1 into -1
10.165 * [taylor]: Taking taylor expansion of ky in kx
10.165 * [backup-simplify]: Simplify ky into ky
10.165 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
10.165 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
10.165 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
10.165 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
10.165 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
10.165 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
10.165 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
10.165 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
10.166 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
10.166 * [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)))
10.167 * [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))))
10.167 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
10.167 * [backup-simplify]: Simplify (+ 0) into 0
10.168 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
10.168 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
10.169 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.169 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
10.170 * [backup-simplify]: Simplify (+ 0 0) into 0
10.170 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
10.170 * [backup-simplify]: Simplify (+ 0 0) into 0
10.171 * [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
10.172 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
10.172 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
10.172 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
10.172 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
10.172 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
10.172 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
10.172 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
10.172 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
10.173 * [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)))))
10.174 * [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)))))
10.174 * [backup-simplify]: Simplify (+ 0) into 0
10.175 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 1)) into 0
10.175 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
10.176 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.176 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 0)) into 0
10.177 * [backup-simplify]: Simplify (+ 0 0) into 0
10.177 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 (sin (/ -1 ky)))) into 0
10.178 * [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
10.178 * [taylor]: Taking taylor expansion of 0 in th
10.178 * [backup-simplify]: Simplify 0 into 0
10.178 * [taylor]: Taking taylor expansion of 0 in kx
10.178 * [backup-simplify]: Simplify 0 into 0
10.178 * [backup-simplify]: Simplify 0 into 0
10.179 * [backup-simplify]: Simplify (+ 0) into 0
10.179 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
10.180 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
10.180 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.181 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
10.181 * [backup-simplify]: Simplify (+ 0 0) into 0
10.181 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 (sin (/ -1 ky)))) into 0
10.182 * [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
10.182 * [taylor]: Taking taylor expansion of 0 in kx
10.182 * [backup-simplify]: Simplify 0 into 0
10.182 * [backup-simplify]: Simplify 0 into 0
10.183 * [backup-simplify]: Simplify (+ 0) into 0
10.183 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
10.183 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
10.184 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.185 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
10.185 * [backup-simplify]: Simplify (+ 0 0) into 0
10.185 * [backup-simplify]: Simplify (+ 0) into 0
10.186 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 1)) into 0
10.186 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
10.187 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.188 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 0)) into 0
10.188 * [backup-simplify]: Simplify (+ 0 0) into 0
10.188 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 (sin (/ -1 ky)))) into 0
10.189 * [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
10.189 * [backup-simplify]: Simplify 0 into 0
10.189 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.190 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
10.190 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
10.190 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.191 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
10.191 * [backup-simplify]: Simplify (+ 0 0) into 0
10.191 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
10.192 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.192 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
10.192 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
10.193 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.193 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
10.194 * [backup-simplify]: Simplify (+ 0 0) into 0
10.194 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.195 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
10.195 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
10.195 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.196 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
10.196 * [backup-simplify]: Simplify (+ 0 0) into 0
10.196 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
10.197 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
10.197 * [backup-simplify]: Simplify (+ 0 0) into 0
10.197 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
10.198 * [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))))) (* 0 (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) into 0
10.199 * [taylor]: Taking taylor expansion of 0 in th
10.199 * [backup-simplify]: Simplify 0 into 0
10.199 * [taylor]: Taking taylor expansion of 0 in kx
10.199 * [backup-simplify]: Simplify 0 into 0
10.199 * [backup-simplify]: Simplify 0 into 0
10.199 * [taylor]: Taking taylor expansion of 0 in kx
10.199 * [backup-simplify]: Simplify 0 into 0
10.199 * [backup-simplify]: Simplify 0 into 0
10.199 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.200 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
10.200 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
10.200 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.201 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
10.201 * [backup-simplify]: Simplify (+ 0 0) into 0
10.201 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
10.202 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.202 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
10.202 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
10.203 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.203 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
10.203 * [backup-simplify]: Simplify (+ 0 0) into 0
10.204 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
10.204 * [backup-simplify]: Simplify (+ 0 0) into 0
10.205 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (* 0 (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
10.205 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
10.206 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.206 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
10.206 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
10.207 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.207 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
10.208 * [backup-simplify]: Simplify (+ 0 0) into 0
10.208 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
10.209 * [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
10.209 * [taylor]: Taking taylor expansion of 0 in kx
10.209 * [backup-simplify]: Simplify 0 into 0
10.209 * [backup-simplify]: Simplify 0 into 0
10.209 * [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)))
10.209 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 2)
10.209 * [backup-simplify]: Simplify (hypot (sin kx) (sin ky)) into (hypot (sin kx) (sin ky))
10.209 * [approximate]: Taking taylor expansion of (hypot (sin kx) (sin ky)) in (kx ky) around 0
10.209 * [taylor]: Taking taylor expansion of (hypot (sin kx) (sin ky)) in ky
10.209 * [taylor]: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
10.209 * [taylor]: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in ky
10.209 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
10.209 * [taylor]: Taking taylor expansion of (sin kx) in ky
10.209 * [taylor]: Taking taylor expansion of kx in ky
10.209 * [backup-simplify]: Simplify kx into kx
10.209 * [backup-simplify]: Simplify (sin kx) into (sin kx)
10.209 * [backup-simplify]: Simplify (cos kx) into (cos kx)
10.209 * [taylor]: Taking taylor expansion of (sin kx) in ky
10.209 * [taylor]: Taking taylor expansion of kx in ky
10.209 * [backup-simplify]: Simplify kx into kx
10.210 * [backup-simplify]: Simplify (sin kx) into (sin kx)
10.210 * [backup-simplify]: Simplify (cos kx) into (cos kx)
10.210 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
10.210 * [taylor]: Taking taylor expansion of (sin ky) in ky
10.210 * [taylor]: Taking taylor expansion of ky in ky
10.210 * [backup-simplify]: Simplify 0 into 0
10.210 * [backup-simplify]: Simplify 1 into 1
10.210 * [taylor]: Taking taylor expansion of (sin ky) in ky
10.210 * [taylor]: Taking taylor expansion of ky in ky
10.210 * [backup-simplify]: Simplify 0 into 0
10.210 * [backup-simplify]: Simplify 1 into 1
10.210 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
10.210 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
10.210 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
10.210 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
10.210 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
10.210 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
10.210 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
10.210 * [backup-simplify]: Simplify (* 0 0) into 0
10.210 * [backup-simplify]: Simplify (+ (pow (sin kx) 2) 0) into (pow (sin kx) 2)
10.211 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
10.211 * [backup-simplify]: Simplify (+ 0) into 0
10.211 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
10.212 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.212 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
10.212 * [backup-simplify]: Simplify (+ 0 0) into 0
10.212 * [backup-simplify]: Simplify (+ 0) into 0
10.213 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
10.213 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.213 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
10.214 * [backup-simplify]: Simplify (+ 0 0) into 0
10.214 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
10.214 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
10.215 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
10.215 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
10.215 * [backup-simplify]: Simplify (+ 0 0) into 0
10.215 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
10.215 * [taylor]: Taking taylor expansion of (hypot (sin kx) (sin ky)) in kx
10.216 * [taylor]: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
10.216 * [taylor]: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in kx
10.216 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in kx
10.216 * [taylor]: Taking taylor expansion of (sin kx) in kx
10.216 * [taylor]: Taking taylor expansion of kx in kx
10.216 * [backup-simplify]: Simplify 0 into 0
10.216 * [backup-simplify]: Simplify 1 into 1
10.216 * [taylor]: Taking taylor expansion of (sin kx) in kx
10.216 * [taylor]: Taking taylor expansion of kx in kx
10.216 * [backup-simplify]: Simplify 0 into 0
10.216 * [backup-simplify]: Simplify 1 into 1
10.216 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in kx
10.216 * [taylor]: Taking taylor expansion of (sin ky) in kx
10.216 * [taylor]: Taking taylor expansion of ky in kx
10.216 * [backup-simplify]: Simplify ky into ky
10.216 * [backup-simplify]: Simplify (sin ky) into (sin ky)
10.216 * [backup-simplify]: Simplify (cos ky) into (cos ky)
10.216 * [taylor]: Taking taylor expansion of (sin ky) in kx
10.216 * [taylor]: Taking taylor expansion of ky in kx
10.216 * [backup-simplify]: Simplify ky into ky
10.216 * [backup-simplify]: Simplify (sin ky) into (sin ky)
10.216 * [backup-simplify]: Simplify (cos ky) into (cos ky)
10.216 * [backup-simplify]: Simplify (* 0 0) into 0
10.216 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
10.216 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
10.216 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
10.216 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
10.217 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
10.217 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
10.217 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
10.217 * [backup-simplify]: Simplify (+ 0 (pow (sin ky) 2)) into (pow (sin ky) 2)
10.217 * [backup-simplify]: Simplify (sqrt (pow (sin ky) 2)) into (sin ky)
10.217 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
10.218 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
10.218 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
10.218 * [backup-simplify]: Simplify (+ 0) into 0
10.219 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
10.219 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.220 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
10.220 * [backup-simplify]: Simplify (+ 0 0) into 0
10.220 * [backup-simplify]: Simplify (+ 0) into 0
10.221 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
10.221 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.222 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
10.222 * [backup-simplify]: Simplify (+ 0 0) into 0
10.222 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
10.223 * [backup-simplify]: Simplify (+ 0 0) into 0
10.223 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin ky) 2)))) into 0
10.223 * [taylor]: Taking taylor expansion of (hypot (sin kx) (sin ky)) in kx
10.223 * [taylor]: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
10.223 * [taylor]: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in kx
10.223 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in kx
10.223 * [taylor]: Taking taylor expansion of (sin kx) in kx
10.223 * [taylor]: Taking taylor expansion of kx in kx
10.223 * [backup-simplify]: Simplify 0 into 0
10.223 * [backup-simplify]: Simplify 1 into 1
10.223 * [taylor]: Taking taylor expansion of (sin kx) in kx
10.223 * [taylor]: Taking taylor expansion of kx in kx
10.223 * [backup-simplify]: Simplify 0 into 0
10.223 * [backup-simplify]: Simplify 1 into 1
10.223 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in kx
10.223 * [taylor]: Taking taylor expansion of (sin ky) in kx
10.224 * [taylor]: Taking taylor expansion of ky in kx
10.224 * [backup-simplify]: Simplify ky into ky
10.224 * [backup-simplify]: Simplify (sin ky) into (sin ky)
10.224 * [backup-simplify]: Simplify (cos ky) into (cos ky)
10.224 * [taylor]: Taking taylor expansion of (sin ky) in kx
10.224 * [taylor]: Taking taylor expansion of ky in kx
10.224 * [backup-simplify]: Simplify ky into ky
10.224 * [backup-simplify]: Simplify (sin ky) into (sin ky)
10.224 * [backup-simplify]: Simplify (cos ky) into (cos ky)
10.224 * [backup-simplify]: Simplify (* 0 0) into 0
10.224 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
10.224 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
10.224 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
10.225 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
10.225 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
10.225 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
10.225 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
10.225 * [backup-simplify]: Simplify (+ 0 (pow (sin ky) 2)) into (pow (sin ky) 2)
10.225 * [backup-simplify]: Simplify (sqrt (pow (sin ky) 2)) into (sin ky)
10.226 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
10.227 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
10.227 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
10.228 * [backup-simplify]: Simplify (+ 0) into 0
10.228 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
10.229 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.229 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
10.230 * [backup-simplify]: Simplify (+ 0 0) into 0
10.230 * [backup-simplify]: Simplify (+ 0) into 0
10.230 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
10.231 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.232 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
10.232 * [backup-simplify]: Simplify (+ 0 0) into 0
10.232 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
10.232 * [backup-simplify]: Simplify (+ 0 0) into 0
10.233 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin ky) 2)))) into 0
10.233 * [taylor]: Taking taylor expansion of (sin ky) in ky
10.233 * [taylor]: Taking taylor expansion of ky in ky
10.233 * [backup-simplify]: Simplify 0 into 0
10.233 * [backup-simplify]: Simplify 1 into 1
10.233 * [backup-simplify]: Simplify 0 into 0
10.233 * [taylor]: Taking taylor expansion of 0 in ky
10.233 * [backup-simplify]: Simplify 0 into 0
10.233 * [backup-simplify]: Simplify 0 into 0
10.234 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
10.234 * [backup-simplify]: Simplify 1 into 1
10.235 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.235 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.236 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
10.237 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.238 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 1))) into 0
10.239 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.239 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (* 0 0))) into 0
10.240 * [backup-simplify]: Simplify (+ 0 0) into 0
10.241 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.244 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 1))) into 0
10.245 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.245 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (* 0 0))) into 0
10.245 * [backup-simplify]: Simplify (+ 0 0) into 0
10.246 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 (sin ky)))) into 0
10.246 * [backup-simplify]: Simplify (+ 1 0) into 1
10.247 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sin ky))) into (/ 1/2 (sin ky))
10.247 * [taylor]: Taking taylor expansion of (/ 1/2 (sin ky)) in ky
10.247 * [taylor]: Taking taylor expansion of 1/2 in ky
10.247 * [backup-simplify]: Simplify 1/2 into 1/2
10.247 * [taylor]: Taking taylor expansion of (sin ky) in ky
10.247 * [taylor]: Taking taylor expansion of ky in ky
10.247 * [backup-simplify]: Simplify 0 into 0
10.247 * [backup-simplify]: Simplify 1 into 1
10.248 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
10.248 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
10.249 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.249 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
10.249 * [backup-simplify]: Simplify 0 into 0
10.249 * [backup-simplify]: Simplify 0 into 0
10.250 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.250 * [backup-simplify]: Simplify 0 into 0
10.251 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
10.252 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
10.252 * [backup-simplify]: Simplify (+ (* 0 -1/6) (+ (* 1 0) (+ (* 0 1) (* -1/6 0)))) into 0
10.253 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
10.253 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.254 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
10.255 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
10.255 * [backup-simplify]: Simplify (+ 0 0) into 0
10.255 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
10.256 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.257 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
10.257 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
10.257 * [backup-simplify]: Simplify (+ 0 0) into 0
10.258 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin ky))))) into 0
10.258 * [backup-simplify]: Simplify (+ 0 0) into 0
10.258 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sin ky)))))) (* 2 (sin ky))) into 0
10.258 * [taylor]: Taking taylor expansion of 0 in ky
10.258 * [backup-simplify]: Simplify 0 into 0
10.258 * [backup-simplify]: Simplify 0 into 0
10.259 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
10.260 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/12
10.260 * [backup-simplify]: Simplify 1/12 into 1/12
10.260 * [backup-simplify]: Simplify 0 into 0
10.261 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
10.261 * [backup-simplify]: Simplify -1/6 into -1/6
10.261 * [backup-simplify]: Simplify (+ (* -1/6 (pow (* ky 1) 3)) (+ (* 1/12 (* ky (pow kx 2))) (* 1 (* ky 1)))) into (- (+ (* 1/12 (* (pow kx 2) ky)) ky) (* 1/6 (pow ky 3)))
10.261 * [backup-simplify]: Simplify (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) into (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))
10.261 * [approximate]: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in (kx ky) around 0
10.261 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in ky
10.262 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))))
10.262 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in ky
10.262 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
10.262 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
10.262 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
10.262 * [taylor]: Taking taylor expansion of kx in ky
10.262 * [backup-simplify]: Simplify kx into kx
10.262 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
10.262 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
10.262 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
10.262 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
10.262 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
10.262 * [taylor]: Taking taylor expansion of kx in ky
10.262 * [backup-simplify]: Simplify kx into kx
10.262 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
10.262 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
10.262 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
10.262 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
10.262 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
10.262 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
10.262 * [taylor]: Taking taylor expansion of ky in ky
10.262 * [backup-simplify]: Simplify 0 into 0
10.262 * [backup-simplify]: Simplify 1 into 1
10.262 * [backup-simplify]: Simplify (/ 1 1) into 1
10.262 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
10.262 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
10.262 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
10.262 * [taylor]: Taking taylor expansion of ky in ky
10.262 * [backup-simplify]: Simplify 0 into 0
10.262 * [backup-simplify]: Simplify 1 into 1
10.263 * [backup-simplify]: Simplify (/ 1 1) into 1
10.263 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
10.263 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
10.263 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
10.263 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
10.263 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
10.263 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
10.263 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
10.263 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
10.263 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
10.264 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
10.264 * [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)))
10.264 * [backup-simplify]: Simplify (+ 0) into 0
10.264 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
10.264 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
10.265 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.265 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
10.265 * [backup-simplify]: Simplify (+ 0 0) into 0
10.266 * [backup-simplify]: Simplify (+ 0) into 0
10.266 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
10.266 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
10.266 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.267 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
10.267 * [backup-simplify]: Simplify (+ 0 0) into 0
10.267 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
10.267 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
10.267 * [backup-simplify]: Simplify (+ 0 0) into 0
10.268 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
10.268 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in kx
10.268 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))))
10.268 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in kx
10.268 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in kx
10.268 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
10.268 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
10.268 * [taylor]: Taking taylor expansion of kx in kx
10.268 * [backup-simplify]: Simplify 0 into 0
10.268 * [backup-simplify]: Simplify 1 into 1
10.268 * [backup-simplify]: Simplify (/ 1 1) into 1
10.268 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
10.268 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
10.268 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
10.268 * [taylor]: Taking taylor expansion of kx in kx
10.268 * [backup-simplify]: Simplify 0 into 0
10.268 * [backup-simplify]: Simplify 1 into 1
10.269 * [backup-simplify]: Simplify (/ 1 1) into 1
10.269 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
10.269 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in kx
10.269 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
10.269 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
10.269 * [taylor]: Taking taylor expansion of ky in kx
10.269 * [backup-simplify]: Simplify ky into ky
10.269 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
10.269 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
10.269 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
10.269 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
10.269 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
10.269 * [taylor]: Taking taylor expansion of ky in kx
10.269 * [backup-simplify]: Simplify ky into ky
10.269 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
10.269 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
10.269 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
10.269 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
10.269 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
10.269 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
10.269 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
10.269 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
10.270 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
10.270 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
10.270 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
10.270 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
10.270 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
10.270 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
10.270 * [backup-simplify]: Simplify (+ 0) into 0
10.271 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
10.271 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
10.271 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.272 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
10.272 * [backup-simplify]: Simplify (+ 0 0) into 0
10.272 * [backup-simplify]: Simplify (+ 0) into 0
10.272 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
10.273 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
10.273 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.273 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
10.274 * [backup-simplify]: Simplify (+ 0 0) into 0
10.274 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
10.274 * [backup-simplify]: Simplify (+ 0 0) into 0
10.274 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
10.274 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in kx
10.274 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))))
10.274 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in kx
10.274 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in kx
10.274 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
10.274 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
10.274 * [taylor]: Taking taylor expansion of kx in kx
10.274 * [backup-simplify]: Simplify 0 into 0
10.274 * [backup-simplify]: Simplify 1 into 1
10.275 * [backup-simplify]: Simplify (/ 1 1) into 1
10.275 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
10.275 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
10.275 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
10.275 * [taylor]: Taking taylor expansion of kx in kx
10.275 * [backup-simplify]: Simplify 0 into 0
10.275 * [backup-simplify]: Simplify 1 into 1
10.275 * [backup-simplify]: Simplify (/ 1 1) into 1
10.275 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
10.275 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in kx
10.275 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
10.275 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
10.275 * [taylor]: Taking taylor expansion of ky in kx
10.275 * [backup-simplify]: Simplify ky into ky
10.275 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
10.275 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
10.275 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
10.275 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
10.275 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
10.275 * [taylor]: Taking taylor expansion of ky in kx
10.275 * [backup-simplify]: Simplify ky into ky
10.275 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
10.275 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
10.276 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
10.276 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
10.276 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
10.276 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
10.276 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
10.276 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
10.276 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
10.276 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
10.276 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
10.276 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
10.277 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
10.277 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
10.277 * [backup-simplify]: Simplify (+ 0) into 0
10.277 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
10.277 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
10.278 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.278 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
10.278 * [backup-simplify]: Simplify (+ 0 0) into 0
10.279 * [backup-simplify]: Simplify (+ 0) into 0
10.279 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
10.279 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
10.279 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.280 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
10.280 * [backup-simplify]: Simplify (+ 0 0) into 0
10.280 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
10.280 * [backup-simplify]: Simplify (+ 0 0) into 0
10.281 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
10.281 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in ky
10.281 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in ky
10.281 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in ky
10.281 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
10.281 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
10.281 * [taylor]: Taking taylor expansion of kx in ky
10.281 * [backup-simplify]: Simplify kx into kx
10.281 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
10.281 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
10.281 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
10.281 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
10.281 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
10.282 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
10.282 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in ky
10.282 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
10.282 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
10.282 * [taylor]: Taking taylor expansion of ky in ky
10.282 * [backup-simplify]: Simplify 0 into 0
10.282 * [backup-simplify]: Simplify 1 into 1
10.282 * [backup-simplify]: Simplify (/ 1 1) into 1
10.282 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
10.282 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
10.283 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
10.283 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
10.283 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
10.284 * [backup-simplify]: Simplify (+ 0) into 0
10.284 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
10.284 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
10.285 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.286 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
10.286 * [backup-simplify]: Simplify (+ 0 0) into 0
10.286 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
10.286 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
10.287 * [backup-simplify]: Simplify (+ 0 0) into 0
10.287 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
10.288 * [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)))
10.288 * [taylor]: Taking taylor expansion of 0 in ky
10.288 * [backup-simplify]: Simplify 0 into 0
10.288 * [backup-simplify]: Simplify 0 into 0
10.288 * [backup-simplify]: Simplify 0 into 0
10.289 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
10.290 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.291 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
10.291 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
10.292 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.292 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
10.293 * [backup-simplify]: Simplify (+ 0 0) into 0
10.294 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.294 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
10.294 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
10.295 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.296 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
10.296 * [backup-simplify]: Simplify (+ 0 0) into 0
10.297 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
10.297 * [backup-simplify]: Simplify (+ 0 0) into 0
10.298 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
10.298 * [taylor]: Taking taylor expansion of 0 in ky
10.298 * [backup-simplify]: Simplify 0 into 0
10.298 * [backup-simplify]: Simplify 0 into 0
10.298 * [backup-simplify]: Simplify 0 into 0
10.299 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.300 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
10.300 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
10.301 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.302 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
10.302 * [backup-simplify]: Simplify (+ 0 0) into 0
10.302 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
10.303 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
10.303 * [backup-simplify]: Simplify (+ 0 0) into 0
10.304 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
10.304 * [backup-simplify]: Simplify 0 into 0
10.305 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 kx)))))) into 0
10.306 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
10.307 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.307 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
10.309 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
10.310 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
10.310 * [backup-simplify]: Simplify (+ 0 0) into 0
10.311 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
10.312 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.312 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
10.313 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
10.314 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
10.314 * [backup-simplify]: Simplify (+ 0 0) into 0
10.315 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 ky)))))) into 0
10.316 * [backup-simplify]: Simplify (+ 0 0) into 0
10.317 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
10.317 * [taylor]: Taking taylor expansion of 0 in ky
10.317 * [backup-simplify]: Simplify 0 into 0
10.317 * [backup-simplify]: Simplify 0 into 0
10.317 * [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)))
10.318 * [backup-simplify]: Simplify (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky)))) into (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))
10.318 * [approximate]: Taking taylor expansion of (hypot (sin (/ -1 kx)) (sin (/ -1 ky))) in (kx ky) around 0
10.318 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 kx)) (sin (/ -1 ky))) in ky
10.318 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))))
10.318 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))) in ky
10.318 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
10.318 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
10.318 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
10.318 * [taylor]: Taking taylor expansion of -1 in ky
10.318 * [backup-simplify]: Simplify -1 into -1
10.318 * [taylor]: Taking taylor expansion of kx in ky
10.318 * [backup-simplify]: Simplify kx into kx
10.318 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
10.318 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
10.318 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
10.318 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
10.318 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
10.318 * [taylor]: Taking taylor expansion of -1 in ky
10.318 * [backup-simplify]: Simplify -1 into -1
10.318 * [taylor]: Taking taylor expansion of kx in ky
10.318 * [backup-simplify]: Simplify kx into kx
10.318 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
10.319 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
10.319 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
10.319 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
10.319 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
10.319 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
10.319 * [taylor]: Taking taylor expansion of -1 in ky
10.319 * [backup-simplify]: Simplify -1 into -1
10.319 * [taylor]: Taking taylor expansion of ky in ky
10.319 * [backup-simplify]: Simplify 0 into 0
10.319 * [backup-simplify]: Simplify 1 into 1
10.319 * [backup-simplify]: Simplify (/ -1 1) into -1
10.320 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
10.320 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
10.320 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
10.320 * [taylor]: Taking taylor expansion of -1 in ky
10.320 * [backup-simplify]: Simplify -1 into -1
10.320 * [taylor]: Taking taylor expansion of ky in ky
10.320 * [backup-simplify]: Simplify 0 into 0
10.320 * [backup-simplify]: Simplify 1 into 1
10.320 * [backup-simplify]: Simplify (/ -1 1) into -1
10.320 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
10.320 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
10.320 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
10.321 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
10.321 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
10.321 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
10.321 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
10.321 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
10.321 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
10.321 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
10.321 * [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)))
10.322 * [backup-simplify]: Simplify (+ 0) into 0
10.322 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
10.322 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
10.323 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.323 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
10.323 * [backup-simplify]: Simplify (+ 0 0) into 0
10.323 * [backup-simplify]: Simplify (+ 0) into 0
10.324 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
10.324 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
10.324 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.325 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
10.325 * [backup-simplify]: Simplify (+ 0 0) into 0
10.325 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
10.325 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
10.325 * [backup-simplify]: Simplify (+ 0 0) into 0
10.326 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
10.326 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 kx)) (sin (/ -1 ky))) in kx
10.326 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))))
10.326 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))) in kx
10.326 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in kx
10.326 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
10.326 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
10.326 * [taylor]: Taking taylor expansion of -1 in kx
10.326 * [backup-simplify]: Simplify -1 into -1
10.326 * [taylor]: Taking taylor expansion of kx in kx
10.326 * [backup-simplify]: Simplify 0 into 0
10.326 * [backup-simplify]: Simplify 1 into 1
10.326 * [backup-simplify]: Simplify (/ -1 1) into -1
10.326 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
10.326 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
10.326 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
10.326 * [taylor]: Taking taylor expansion of -1 in kx
10.326 * [backup-simplify]: Simplify -1 into -1
10.326 * [taylor]: Taking taylor expansion of kx in kx
10.326 * [backup-simplify]: Simplify 0 into 0
10.326 * [backup-simplify]: Simplify 1 into 1
10.327 * [backup-simplify]: Simplify (/ -1 1) into -1
10.327 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
10.327 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in kx
10.327 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
10.327 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
10.327 * [taylor]: Taking taylor expansion of -1 in kx
10.327 * [backup-simplify]: Simplify -1 into -1
10.327 * [taylor]: Taking taylor expansion of ky in kx
10.327 * [backup-simplify]: Simplify ky into ky
10.327 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
10.327 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
10.327 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
10.327 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
10.327 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
10.327 * [taylor]: Taking taylor expansion of -1 in kx
10.327 * [backup-simplify]: Simplify -1 into -1
10.327 * [taylor]: Taking taylor expansion of ky in kx
10.327 * [backup-simplify]: Simplify ky into ky
10.327 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
10.327 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
10.327 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
10.327 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
10.327 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
10.327 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
10.327 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
10.327 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
10.328 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
10.328 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
10.328 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
10.328 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
10.328 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
10.328 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
10.329 * [backup-simplify]: Simplify (+ 0) into 0
10.329 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
10.329 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
10.330 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.330 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
10.330 * [backup-simplify]: Simplify (+ 0 0) into 0
10.330 * [backup-simplify]: Simplify (+ 0) into 0
10.331 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
10.331 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
10.331 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.332 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
10.332 * [backup-simplify]: Simplify (+ 0 0) into 0
10.332 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
10.332 * [backup-simplify]: Simplify (+ 0 0) into 0
10.332 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
10.333 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 kx)) (sin (/ -1 ky))) in kx
10.333 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))))
10.333 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))) in kx
10.333 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in kx
10.333 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
10.333 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
10.333 * [taylor]: Taking taylor expansion of -1 in kx
10.333 * [backup-simplify]: Simplify -1 into -1
10.333 * [taylor]: Taking taylor expansion of kx in kx
10.333 * [backup-simplify]: Simplify 0 into 0
10.333 * [backup-simplify]: Simplify 1 into 1
10.333 * [backup-simplify]: Simplify (/ -1 1) into -1
10.333 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
10.333 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
10.333 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
10.333 * [taylor]: Taking taylor expansion of -1 in kx
10.333 * [backup-simplify]: Simplify -1 into -1
10.333 * [taylor]: Taking taylor expansion of kx in kx
10.333 * [backup-simplify]: Simplify 0 into 0
10.333 * [backup-simplify]: Simplify 1 into 1
10.334 * [backup-simplify]: Simplify (/ -1 1) into -1
10.334 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
10.334 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in kx
10.334 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
10.334 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
10.334 * [taylor]: Taking taylor expansion of -1 in kx
10.334 * [backup-simplify]: Simplify -1 into -1
10.334 * [taylor]: Taking taylor expansion of ky in kx
10.334 * [backup-simplify]: Simplify ky into ky
10.334 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
10.334 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
10.334 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
10.334 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
10.334 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
10.334 * [taylor]: Taking taylor expansion of -1 in kx
10.334 * [backup-simplify]: Simplify -1 into -1
10.334 * [taylor]: Taking taylor expansion of ky in kx
10.334 * [backup-simplify]: Simplify ky into ky
10.334 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
10.334 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
10.334 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
10.334 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
10.334 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
10.334 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
10.334 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
10.334 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
10.334 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
10.335 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
10.335 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
10.335 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
10.335 * [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)))
10.335 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
10.335 * [backup-simplify]: Simplify (+ 0) into 0
10.336 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
10.336 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
10.336 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.337 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
10.337 * [backup-simplify]: Simplify (+ 0 0) into 0
10.337 * [backup-simplify]: Simplify (+ 0) into 0
10.337 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
10.338 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
10.338 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.338 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
10.339 * [backup-simplify]: Simplify (+ 0 0) into 0
10.339 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
10.339 * [backup-simplify]: Simplify (+ 0 0) into 0
10.339 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
10.339 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in ky
10.339 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in ky
10.339 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in ky
10.339 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
10.339 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
10.339 * [taylor]: Taking taylor expansion of -1 in ky
10.339 * [backup-simplify]: Simplify -1 into -1
10.339 * [taylor]: Taking taylor expansion of kx in ky
10.339 * [backup-simplify]: Simplify kx into kx
10.339 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
10.340 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
10.340 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
10.340 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
10.340 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
10.340 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
10.340 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in ky
10.340 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
10.340 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
10.340 * [taylor]: Taking taylor expansion of -1 in ky
10.340 * [backup-simplify]: Simplify -1 into -1
10.340 * [taylor]: Taking taylor expansion of ky in ky
10.340 * [backup-simplify]: Simplify 0 into 0
10.340 * [backup-simplify]: Simplify 1 into 1
10.340 * [backup-simplify]: Simplify (/ -1 1) into -1
10.340 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
10.340 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
10.340 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
10.341 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
10.341 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
10.341 * [backup-simplify]: Simplify (+ 0) into 0
10.341 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
10.342 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
10.342 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.342 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
10.343 * [backup-simplify]: Simplify (+ 0 0) into 0
10.343 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
10.343 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
10.343 * [backup-simplify]: Simplify (+ 0 0) into 0
10.343 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
10.344 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
10.344 * [taylor]: Taking taylor expansion of 0 in ky
10.344 * [backup-simplify]: Simplify 0 into 0
10.344 * [backup-simplify]: Simplify 0 into 0
10.344 * [backup-simplify]: Simplify 0 into 0
10.344 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
10.345 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.345 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
10.345 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
10.346 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.346 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
10.346 * [backup-simplify]: Simplify (+ 0 0) into 0
10.347 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.347 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
10.347 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
10.348 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.348 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
10.349 * [backup-simplify]: Simplify (+ 0 0) into 0
10.349 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
10.350 * [backup-simplify]: Simplify (+ 0 0) into 0
10.351 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
10.351 * [taylor]: Taking taylor expansion of 0 in ky
10.351 * [backup-simplify]: Simplify 0 into 0
10.351 * [backup-simplify]: Simplify 0 into 0
10.351 * [backup-simplify]: Simplify 0 into 0
10.352 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.353 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
10.353 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
10.354 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.354 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
10.355 * [backup-simplify]: Simplify (+ 0 0) into 0
10.355 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
10.356 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
10.356 * [backup-simplify]: Simplify (+ 0 0) into 0
10.357 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
10.357 * [backup-simplify]: Simplify 0 into 0
10.358 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 kx)))))) into 0
10.359 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
10.360 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.361 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
10.367 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
10.368 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
10.368 * [backup-simplify]: Simplify (+ 0 0) into 0
10.369 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
10.370 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.371 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
10.372 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
10.373 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
10.373 * [backup-simplify]: Simplify (+ 0 0) into 0
10.374 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 ky)))))) into 0
10.375 * [backup-simplify]: Simplify (+ 0 0) into 0
10.376 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
10.376 * [taylor]: Taking taylor expansion of 0 in ky
10.376 * [backup-simplify]: Simplify 0 into 0
10.376 * [backup-simplify]: Simplify 0 into 0
10.377 * [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)))
10.377 * * * [progress]: simplifying candidates
10.379 * [simplify]: Simplifying:
  (expm1 (/ (sin th) (hypot (sin kx) (sin ky))))
  (log1p (/ (sin th) (hypot (sin kx) (sin ky))))
  (- (log (sin th)) (log (hypot (sin kx) (sin ky))))
  (log (/ (sin th) (hypot (sin kx) (sin ky))))
  (exp (/ (sin th) (hypot (sin kx) (sin ky))))
  (/ (* (* (sin th) (sin th)) (sin th)) (* (* (hypot (sin kx) (sin ky)) (hypot (sin kx) (sin ky))) (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 (sin th))) (* (cbrt (hypot (sin kx) (sin ky))) (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))) 1)
  (/ (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)) 1)
  (/ (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 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) 1)
  (/ (hypot (sin kx) (sin ky)) (cbrt (sin th)))
  (/ (hypot (sin kx) (sin ky)) (sqrt (sin th)))
  (/ (hypot (sin kx) (sin ky)) (sin th))
  (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)) (- (log (sin th)) (log (hypot (sin kx) (sin ky)))))
  (+ (log (sin ky)) (log (/ (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 ky)) (sin ky)) (/ (* (* (sin th) (sin th)) (sin th)) (* (* (hypot (sin kx) (sin ky)) (hypot (sin kx) (sin ky))) (hypot (sin kx) (sin ky)))))
  (* (* (* (sin ky) (sin ky)) (sin ky)) (* (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ (sin th) (hypot (sin kx) (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)) (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)) (sqrt (hypot (sin kx) (sin ky)))))
  (* (sqrt (sin ky)) (/ (sqrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))))
  (* (sin ky) (* (cbrt (/ (sin th) (hypot (sin kx) (sin ky)))) (cbrt (/ (sin th) (hypot (sin kx) (sin ky))))))
  (* (sin ky) (sqrt (/ (sin th) (hypot (sin kx) (sin ky)))))
  (* (sin ky) (/ (* (cbrt (sin th)) (cbrt (sin th))) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))))
  (* (sin ky) (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (hypot (sin kx) (sin ky)))))
  (* (sin ky) (/ (* (cbrt (sin th)) (cbrt (sin th))) 1))
  (* (sin ky) (/ (sqrt (sin th)) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))))
  (* (sin ky) (/ (sqrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))))
  (* (sin ky) (/ (sqrt (sin th)) 1))
  (* (sin ky) (/ 1 (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))))
  (* (sin ky) (/ 1 (sqrt (hypot (sin kx) (sin ky)))))
  (* (sin ky) (/ 1 1))
  (* (sin ky) 1)
  (* (sin ky) (sin th))
  (* (cbrt (sin ky)) (/ (sin th) (hypot (sin kx) (sin ky))))
  (* (sqrt (sin ky)) (/ (sin th) (hypot (sin kx) (sin ky))))
  (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky))))
  (* (sin ky) (sin th))
  (expm1 (hypot (sin kx) (sin ky)))
  (log1p (hypot (sin kx) (sin ky)))
  (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))
  (log (hypot (sin kx) (sin ky)))
  (exp (hypot (sin kx) (sin ky)))
  (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))
  (cbrt (hypot (sin kx) (sin ky)))
  (* (* (hypot (sin kx) (sin ky)) (hypot (sin kx) (sin ky))) (hypot (sin kx) (sin ky)))
  (sqrt (hypot (sin kx) (sin ky)))
  (sqrt (hypot (sin kx) (sin ky)))
  (* 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))
  (* 1/6 (* kx (* ky th)))
  (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky)))
  (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky)))
  (- (+ (* 1/12 (* (pow kx 2) ky)) ky) (* 1/6 (pow ky 3)))
  (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))
  (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))
10.382 * * [simplify]: Extracting # 0 : cost  80  inf +  0
10.382 * * [simplify]: Extracting # 1 : cost  106  inf +  0
10.382 * * [simplify]: Extracting # 2 : cost  114  inf +  2
10.383 * * [simplify]: Extracting # 3 : cost  98  inf +  3167
10.386 * * [simplify]: Extracting # 4 : cost  40  inf +  18618
10.390 * * [simplify]: Extracting # 5 : cost  13  inf +  28695
10.393 * * [simplify]: Extracting # 6 : cost  4  inf +  33077
10.396 * * [simplify]: Extracting # 7 : cost  2  inf +  34136
10.398 * * [simplify]: Extracting # 8 : cost  1  inf +  34470
10.400 * * [simplify]: Extracting # 9 : cost  0  inf +  35096
10.403 * * [simplify]: iteration  0 :  121  enodes  (cost  33419 )
10.424 * * [simplify]: Extracting # 0 : cost  0  inf +  35096
10.431 * * [simplify]: Extracting # 1 : cost  53  inf +  30278
10.439 * * [simplify]: Extracting # 2 : cost  2  inf +  42890
10.448 * * [simplify]: Extracting # 3 : cost  1  inf +  42262
10.455 * * [simplify]: Extracting # 4 : cost  0  inf +  42187
10.459 * * [simplify]: iteration  1 :  277  enodes  (cost  30144 )
10.602 * * [simplify]: Extracting # 0 : cost  0  inf +  42187
10.618 * * [simplify]: Extracting # 1 : cost  400  inf +  36204
10.646 * * [simplify]: Extracting # 2 : cost  7  inf +  143499
10.667 * * [simplify]: Extracting # 3 : cost  3  inf +  143892
10.706 * * [simplify]: Extracting # 4 : cost  0  inf +  144975
10.748 * * [simplify]: iteration  2 :  1411  enodes  (cost  29742 )
11.580 * * [simplify]: Extracting # 0 : cost  0  inf +  144975
11.652 * * [simplify]: Extracting # 1 : cost  1347  inf +  80945
11.737 * * [simplify]: Extracting # 2 : cost  74  inf +  472983
11.847 * * [simplify]: Extracting # 3 : cost  21  inf +  480846
11.963 * * [simplify]: Extracting # 4 : cost  0  inf +  488266
12.044 * * [simplify]: iteration done:  5001  enodes  (cost  29543 )
12.046 * [simplify]: Simplified to:
  (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)) (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin th))))
  (/ (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))
  (expm1 (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky)))))
  (log1p (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky)))))
  (* (/ (sin th) (hypot (sin kx) (sin ky))) (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)))))
  (* (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)) (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)) (sqrt (hypot (sin kx) (sin ky)))))
  (* (sqrt (sin ky)) (/ (sqrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))))
  (* (* (cbrt (/ (sin th) (hypot (sin kx) (sin ky)))) (cbrt (/ (sin th) (hypot (sin kx) (sin ky))))) (sin ky))
  (* (sqrt (/ (sin th) (hypot (sin kx) (sin ky)))) (sin ky))
  (* (* (/ (cbrt (sin th)) (cbrt (hypot (sin kx) (sin ky)))) (/ (cbrt (sin th)) (cbrt (hypot (sin kx) (sin ky))))) (sin ky))
  (* (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (hypot (sin kx) (sin ky)))) (sin ky))
  (* (sin ky) (* (cbrt (sin th)) (cbrt (sin th))))
  (* (/ (sqrt (sin th)) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) (sin ky))
  (* (/ (sqrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (sin ky))
  (* (sin ky) (sqrt (sin th)))
  (/ (/ (sin ky) (cbrt (hypot (sin kx) (sin ky)))) (cbrt (hypot (sin kx) (sin ky))))
  (/ (sin ky) (sqrt (hypot (sin kx) (sin ky))))
  (sin ky)
  (sin ky)
  (* (sin th) (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 ky))
  (* (sin th) (sin ky))
  (expm1 (hypot (sin kx) (sin ky)))
  (log1p (hypot (sin kx) (sin ky)))
  (* (hypot (sin kx) (sin ky)) (hypot (sin kx) (sin ky)))
  (log (hypot (sin kx) (sin ky)))
  (exp (hypot (sin kx) (sin ky)))
  (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))
  (cbrt (hypot (sin kx) (sin ky)))
  (* (hypot (sin kx) (sin ky)) (* (hypot (sin kx) (sin ky)) (hypot (sin kx) (sin ky))))
  (sqrt (hypot (sin kx) (sin ky)))
  (sqrt (hypot (sin kx) (sin ky)))
  (* 1/6 (* ky th))
  (* (sin 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))))))
  (* 1/6 (* kx (* ky th)))
  (* (* (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)))))) (sin ky))
  (* ky (- (fma (* 1/12 kx) kx 1) (* 1/6 (* ky ky))))
  (hypot (sin kx) (sin ky))
  (hypot (sin kx) (sin ky))
12.054 * * * [progress]: adding candidates to table
12.605 * * [progress]: iteration 4 / 4
12.606 * * * [progress]: picking best candidate
12.766 * * * * [pick]: Picked  #<alt (λ (kx ky th) (* (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) (* (/ (cbrt (sin ky)) (cbrt (hypot (sin kx) (sin ky)))) (sin th))))>
12.766 * * * [progress]: localizing error
12.825 * * * [progress]: generating rewritten candidates
12.825 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1)
12.826 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2)
12.828 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1)
12.829 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2)
12.830 * * * [progress]: generating series expansions
12.830 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1)
12.830 * [backup-simplify]: Simplify (cbrt (sin ky)) into (pow (sin ky) 1/3)
12.830 * [approximate]: Taking taylor expansion of (pow (sin ky) 1/3) in (ky) around 0
12.830 * [taylor]: Taking taylor expansion of (pow (sin ky) 1/3) in ky
12.830 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin ky)))) in ky
12.830 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin ky))) in ky
12.830 * [taylor]: Taking taylor expansion of 1/3 in ky
12.830 * [backup-simplify]: Simplify 1/3 into 1/3
12.830 * [taylor]: Taking taylor expansion of (log (sin ky)) in ky
12.830 * [taylor]: Taking taylor expansion of (sin ky) in ky
12.830 * [taylor]: Taking taylor expansion of ky in ky
12.830 * [backup-simplify]: Simplify 0 into 0
12.830 * [backup-simplify]: Simplify 1 into 1
12.831 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
12.831 * [backup-simplify]: Simplify (log 1) into 0
12.832 * [backup-simplify]: Simplify (+ (* (- -1) (log ky)) 0) into (log ky)
12.832 * [backup-simplify]: Simplify (* 1/3 (log ky)) into (* 1/3 (log ky))
12.832 * [backup-simplify]: Simplify (exp (* 1/3 (log ky))) into (pow ky 1/3)
12.832 * [taylor]: Taking taylor expansion of (pow (sin ky) 1/3) in ky
12.832 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin ky)))) in ky
12.832 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin ky))) in ky
12.832 * [taylor]: Taking taylor expansion of 1/3 in ky
12.832 * [backup-simplify]: Simplify 1/3 into 1/3
12.832 * [taylor]: Taking taylor expansion of (log (sin ky)) in ky
12.832 * [taylor]: Taking taylor expansion of (sin ky) in ky
12.832 * [taylor]: Taking taylor expansion of ky in ky
12.832 * [backup-simplify]: Simplify 0 into 0
12.832 * [backup-simplify]: Simplify 1 into 1
12.832 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
12.833 * [backup-simplify]: Simplify (log 1) into 0
12.833 * [backup-simplify]: Simplify (+ (* (- -1) (log ky)) 0) into (log ky)
12.833 * [backup-simplify]: Simplify (* 1/3 (log ky)) into (* 1/3 (log ky))
12.833 * [backup-simplify]: Simplify (exp (* 1/3 (log ky))) into (pow ky 1/3)
12.834 * [backup-simplify]: Simplify (pow ky 1/3) into (pow ky 1/3)
12.835 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
12.837 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
12.837 * [backup-simplify]: Simplify (+ (* (- -1) (log ky)) 0) into (log ky)
12.837 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log ky))) into 0
12.838 * [backup-simplify]: Simplify (* (exp (* 1/3 (log ky))) (+ (* (/ (pow 0 1) 1)))) into 0
12.838 * [backup-simplify]: Simplify 0 into 0
12.840 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
12.843 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/6) 1)) (pow 1 1)))) 2) into -1/6
12.843 * [backup-simplify]: Simplify (+ (* (- -1) (log ky)) 0) into (log ky)
12.844 * [backup-simplify]: Simplify (+ (* 1/3 -1/6) (+ (* 0 0) (* 0 (log ky)))) into (- 1/18)
12.846 * [backup-simplify]: Simplify (* (exp (* 1/3 (log ky))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- 1/18) 1) 1)))) into (* -1/18 (pow ky 1/3))
12.846 * [backup-simplify]: Simplify (* -1/18 (pow ky 1/3)) into (* -1/18 (pow ky 1/3))
12.848 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
12.853 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 -1/6) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
12.853 * [backup-simplify]: Simplify (+ (* (- -1) (log ky)) 0) into (log ky)
12.854 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 -1/6) (+ (* 0 0) (* 0 (log ky))))) into 0
12.855 * [backup-simplify]: Simplify (* (exp (* 1/3 (log ky))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- 1/18) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
12.855 * [backup-simplify]: Simplify 0 into 0
12.857 * [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
12.863 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 -1/6) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 -1/6) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 1/120) 1)) (pow 1 1)))) 24) into -1/180
12.864 * [backup-simplify]: Simplify (+ (* (- -1) (log ky)) 0) into (log ky)
12.865 * [backup-simplify]: Simplify (+ (* 1/3 -1/180) (+ (* 0 0) (+ (* 0 -1/6) (+ (* 0 0) (* 0 (log ky)))))) into (- 1/540)
12.867 * [backup-simplify]: Simplify (* (exp (* 1/3 (log ky))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (- 1/18) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (- 1/18) 2) 2)) (* (/ (pow (- 1/540) 1) 1)))) into (* -1/3240 (pow ky 1/3))
12.868 * [backup-simplify]: Simplify (* -1/3240 (pow ky 1/3)) into (* -1/3240 (pow ky 1/3))
12.868 * [backup-simplify]: Simplify (+ (* (* -1/3240 (pow ky 1/3)) (pow ky 4)) (+ (* (* -1/18 (pow ky 1/3)) (pow ky 2)) (pow ky 1/3))) into (- (pow ky 1/3) (+ (* 1/3240 (pow (pow ky 13) 1/3)) (* 1/18 (pow (pow ky 7) 1/3))))
12.868 * [backup-simplify]: Simplify (cbrt (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 1/3)
12.868 * [approximate]: Taking taylor expansion of (pow (sin (/ 1 ky)) 1/3) in (ky) around 0
12.868 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 1/3) in ky
12.868 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ 1 ky))))) in ky
12.868 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ 1 ky)))) in ky
12.868 * [taylor]: Taking taylor expansion of 1/3 in ky
12.868 * [backup-simplify]: Simplify 1/3 into 1/3
12.868 * [taylor]: Taking taylor expansion of (log (sin (/ 1 ky))) in ky
12.868 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
12.868 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
12.868 * [taylor]: Taking taylor expansion of ky in ky
12.868 * [backup-simplify]: Simplify 0 into 0
12.868 * [backup-simplify]: Simplify 1 into 1
12.869 * [backup-simplify]: Simplify (/ 1 1) into 1
12.869 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
12.869 * [backup-simplify]: Simplify (log (sin (/ 1 ky))) into (log (sin (/ 1 ky)))
12.869 * [backup-simplify]: Simplify (* 1/3 (log (sin (/ 1 ky)))) into (* 1/3 (log (sin (/ 1 ky))))
12.869 * [backup-simplify]: Simplify (exp (* 1/3 (log (sin (/ 1 ky))))) into (pow (sin (/ 1 ky)) 1/3)
12.869 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 1/3) in ky
12.869 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ 1 ky))))) in ky
12.869 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ 1 ky)))) in ky
12.869 * [taylor]: Taking taylor expansion of 1/3 in ky
12.869 * [backup-simplify]: Simplify 1/3 into 1/3
12.869 * [taylor]: Taking taylor expansion of (log (sin (/ 1 ky))) in ky
12.869 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
12.869 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
12.869 * [taylor]: Taking taylor expansion of ky in ky
12.869 * [backup-simplify]: Simplify 0 into 0
12.869 * [backup-simplify]: Simplify 1 into 1
12.869 * [backup-simplify]: Simplify (/ 1 1) into 1
12.869 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
12.869 * [backup-simplify]: Simplify (log (sin (/ 1 ky))) into (log (sin (/ 1 ky)))
12.869 * [backup-simplify]: Simplify (* 1/3 (log (sin (/ 1 ky)))) into (* 1/3 (log (sin (/ 1 ky))))
12.870 * [backup-simplify]: Simplify (exp (* 1/3 (log (sin (/ 1 ky))))) into (pow (sin (/ 1 ky)) 1/3)
12.870 * [backup-simplify]: Simplify (pow (sin (/ 1 ky)) 1/3) into (pow (sin (/ 1 ky)) 1/3)
12.870 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sin (/ 1 ky)) 1)))) 1) into 0
12.871 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (sin (/ 1 ky))))) into 0
12.871 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sin (/ 1 ky))))) (+ (* (/ (pow 0 1) 1)))) into 0
12.871 * [backup-simplify]: Simplify 0 into 0
12.872 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sin (/ 1 ky)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sin (/ 1 ky)) 1)))) 2) into 0
12.873 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sin (/ 1 ky)))))) into 0
12.874 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sin (/ 1 ky))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
12.874 * [backup-simplify]: Simplify 0 into 0
12.875 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sin (/ 1 ky)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sin (/ 1 ky)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sin (/ 1 ky)) 1)))) 6) into 0
12.876 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sin (/ 1 ky))))))) into 0
12.877 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sin (/ 1 ky))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
12.877 * [backup-simplify]: Simplify 0 into 0
12.880 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sin (/ 1 ky)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (sin (/ 1 ky)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (sin (/ 1 ky)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sin (/ 1 ky)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (sin (/ 1 ky)) 1)))) 24) into 0
12.881 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sin (/ 1 ky)))))))) into 0
12.883 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sin (/ 1 ky))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
12.883 * [backup-simplify]: Simplify 0 into 0
12.888 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (sin (/ 1 ky)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (sin (/ 1 ky)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (sin (/ 1 ky)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (sin (/ 1 ky)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (sin (/ 1 ky)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (sin (/ 1 ky)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (sin (/ 1 ky)) 1)))) 120) into 0
12.890 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sin (/ 1 ky))))))))) into 0
12.892 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sin (/ 1 ky))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
12.892 * [backup-simplify]: Simplify 0 into 0
12.900 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (sin (/ 1 ky)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (sin (/ 1 ky)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (sin (/ 1 ky)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (sin (/ 1 ky)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (sin (/ 1 ky)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (sin (/ 1 ky)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (sin (/ 1 ky)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (sin (/ 1 ky)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (sin (/ 1 ky)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (sin (/ 1 ky)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (sin (/ 1 ky)) 1)))) 720) into 0
12.901 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sin (/ 1 ky)))))))))) into 0
12.904 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sin (/ 1 ky))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
12.905 * [backup-simplify]: Simplify 0 into 0
12.905 * [backup-simplify]: Simplify (pow (sin (/ 1 (/ 1 ky))) 1/3) into (pow (sin ky) 1/3)
12.905 * [backup-simplify]: Simplify (cbrt (sin (/ 1 (- ky)))) into (pow (sin (/ -1 ky)) 1/3)
12.905 * [approximate]: Taking taylor expansion of (pow (sin (/ -1 ky)) 1/3) in (ky) around 0
12.905 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 1/3) in ky
12.905 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ -1 ky))))) in ky
12.905 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ -1 ky)))) in ky
12.905 * [taylor]: Taking taylor expansion of 1/3 in ky
12.905 * [backup-simplify]: Simplify 1/3 into 1/3
12.905 * [taylor]: Taking taylor expansion of (log (sin (/ -1 ky))) in ky
12.905 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
12.905 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
12.905 * [taylor]: Taking taylor expansion of -1 in ky
12.905 * [backup-simplify]: Simplify -1 into -1
12.905 * [taylor]: Taking taylor expansion of ky in ky
12.905 * [backup-simplify]: Simplify 0 into 0
12.905 * [backup-simplify]: Simplify 1 into 1
12.905 * [backup-simplify]: Simplify (/ -1 1) into -1
12.905 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
12.906 * [backup-simplify]: Simplify (log (sin (/ -1 ky))) into (log (sin (/ -1 ky)))
12.906 * [backup-simplify]: Simplify (* 1/3 (log (sin (/ -1 ky)))) into (* 1/3 (log (sin (/ -1 ky))))
12.906 * [backup-simplify]: Simplify (exp (* 1/3 (log (sin (/ -1 ky))))) into (pow (sin (/ -1 ky)) 1/3)
12.906 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 1/3) in ky
12.906 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ -1 ky))))) in ky
12.906 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ -1 ky)))) in ky
12.906 * [taylor]: Taking taylor expansion of 1/3 in ky
12.906 * [backup-simplify]: Simplify 1/3 into 1/3
12.906 * [taylor]: Taking taylor expansion of (log (sin (/ -1 ky))) in ky
12.906 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
12.906 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
12.906 * [taylor]: Taking taylor expansion of -1 in ky
12.906 * [backup-simplify]: Simplify -1 into -1
12.906 * [taylor]: Taking taylor expansion of ky in ky
12.906 * [backup-simplify]: Simplify 0 into 0
12.906 * [backup-simplify]: Simplify 1 into 1
12.906 * [backup-simplify]: Simplify (/ -1 1) into -1
12.906 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
12.906 * [backup-simplify]: Simplify (log (sin (/ -1 ky))) into (log (sin (/ -1 ky)))
12.906 * [backup-simplify]: Simplify (* 1/3 (log (sin (/ -1 ky)))) into (* 1/3 (log (sin (/ -1 ky))))
12.906 * [backup-simplify]: Simplify (exp (* 1/3 (log (sin (/ -1 ky))))) into (pow (sin (/ -1 ky)) 1/3)
12.907 * [backup-simplify]: Simplify (pow (sin (/ -1 ky)) 1/3) into (pow (sin (/ -1 ky)) 1/3)
12.907 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sin (/ -1 ky)) 1)))) 1) into 0
12.908 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (sin (/ -1 ky))))) into 0
12.908 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sin (/ -1 ky))))) (+ (* (/ (pow 0 1) 1)))) into 0
12.908 * [backup-simplify]: Simplify 0 into 0
12.909 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sin (/ -1 ky)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sin (/ -1 ky)) 1)))) 2) into 0
12.910 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sin (/ -1 ky)))))) into 0
12.911 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sin (/ -1 ky))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
12.911 * [backup-simplify]: Simplify 0 into 0
12.913 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sin (/ -1 ky)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sin (/ -1 ky)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sin (/ -1 ky)) 1)))) 6) into 0
12.914 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sin (/ -1 ky))))))) into 0
12.915 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sin (/ -1 ky))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
12.915 * [backup-simplify]: Simplify 0 into 0
12.922 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sin (/ -1 ky)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (sin (/ -1 ky)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (sin (/ -1 ky)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sin (/ -1 ky)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (sin (/ -1 ky)) 1)))) 24) into 0
12.923 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sin (/ -1 ky)))))))) into 0
12.925 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sin (/ -1 ky))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
12.925 * [backup-simplify]: Simplify 0 into 0
12.930 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (sin (/ -1 ky)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (sin (/ -1 ky)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (sin (/ -1 ky)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (sin (/ -1 ky)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (sin (/ -1 ky)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (sin (/ -1 ky)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (sin (/ -1 ky)) 1)))) 120) into 0
12.932 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sin (/ -1 ky))))))))) into 0
12.934 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sin (/ -1 ky))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
12.934 * [backup-simplify]: Simplify 0 into 0
12.942 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (sin (/ -1 ky)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (sin (/ -1 ky)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (sin (/ -1 ky)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (sin (/ -1 ky)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (sin (/ -1 ky)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (sin (/ -1 ky)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (sin (/ -1 ky)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (sin (/ -1 ky)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (sin (/ -1 ky)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (sin (/ -1 ky)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (sin (/ -1 ky)) 1)))) 720) into 0
12.944 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sin (/ -1 ky)))))))))) into 0
12.947 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sin (/ -1 ky))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
12.947 * [backup-simplify]: Simplify 0 into 0
12.947 * [backup-simplify]: Simplify (pow (sin (/ -1 (/ 1 (- ky)))) 1/3) into (pow (sin ky) 1/3)
12.947 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2)
12.947 * [backup-simplify]: Simplify (cbrt (sin ky)) into (pow (sin ky) 1/3)
12.947 * [approximate]: Taking taylor expansion of (pow (sin ky) 1/3) in (ky) around 0
12.947 * [taylor]: Taking taylor expansion of (pow (sin ky) 1/3) in ky
12.947 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin ky)))) in ky
12.947 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin ky))) in ky
12.947 * [taylor]: Taking taylor expansion of 1/3 in ky
12.947 * [backup-simplify]: Simplify 1/3 into 1/3
12.947 * [taylor]: Taking taylor expansion of (log (sin ky)) in ky
12.947 * [taylor]: Taking taylor expansion of (sin ky) in ky
12.947 * [taylor]: Taking taylor expansion of ky in ky
12.947 * [backup-simplify]: Simplify 0 into 0
12.947 * [backup-simplify]: Simplify 1 into 1
12.948 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
12.948 * [backup-simplify]: Simplify (log 1) into 0
12.948 * [backup-simplify]: Simplify (+ (* (- -1) (log ky)) 0) into (log ky)
12.948 * [backup-simplify]: Simplify (* 1/3 (log ky)) into (* 1/3 (log ky))
12.948 * [backup-simplify]: Simplify (exp (* 1/3 (log ky))) into (pow ky 1/3)
12.948 * [taylor]: Taking taylor expansion of (pow (sin ky) 1/3) in ky
12.948 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin ky)))) in ky
12.948 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin ky))) in ky
12.948 * [taylor]: Taking taylor expansion of 1/3 in ky
12.948 * [backup-simplify]: Simplify 1/3 into 1/3
12.948 * [taylor]: Taking taylor expansion of (log (sin ky)) in ky
12.948 * [taylor]: Taking taylor expansion of (sin ky) in ky
12.948 * [taylor]: Taking taylor expansion of ky in ky
12.949 * [backup-simplify]: Simplify 0 into 0
12.949 * [backup-simplify]: Simplify 1 into 1
12.949 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
12.949 * [backup-simplify]: Simplify (log 1) into 0
12.949 * [backup-simplify]: Simplify (+ (* (- -1) (log ky)) 0) into (log ky)
12.950 * [backup-simplify]: Simplify (* 1/3 (log ky)) into (* 1/3 (log ky))
12.950 * [backup-simplify]: Simplify (exp (* 1/3 (log ky))) into (pow ky 1/3)
12.950 * [backup-simplify]: Simplify (pow ky 1/3) into (pow ky 1/3)
12.950 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
12.951 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
12.951 * [backup-simplify]: Simplify (+ (* (- -1) (log ky)) 0) into (log ky)
12.952 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log ky))) into 0
12.952 * [backup-simplify]: Simplify (* (exp (* 1/3 (log ky))) (+ (* (/ (pow 0 1) 1)))) into 0
12.952 * [backup-simplify]: Simplify 0 into 0
12.953 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
12.955 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/6) 1)) (pow 1 1)))) 2) into -1/6
12.955 * [backup-simplify]: Simplify (+ (* (- -1) (log ky)) 0) into (log ky)
12.956 * [backup-simplify]: Simplify (+ (* 1/3 -1/6) (+ (* 0 0) (* 0 (log ky)))) into (- 1/18)
12.957 * [backup-simplify]: Simplify (* (exp (* 1/3 (log ky))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- 1/18) 1) 1)))) into (* -1/18 (pow ky 1/3))
12.957 * [backup-simplify]: Simplify (* -1/18 (pow ky 1/3)) into (* -1/18 (pow ky 1/3))
12.958 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
12.961 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 -1/6) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
12.961 * [backup-simplify]: Simplify (+ (* (- -1) (log ky)) 0) into (log ky)
12.962 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 -1/6) (+ (* 0 0) (* 0 (log ky))))) into 0
12.963 * [backup-simplify]: Simplify (* (exp (* 1/3 (log ky))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- 1/18) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
12.963 * [backup-simplify]: Simplify 0 into 0
12.965 * [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
12.971 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 -1/6) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 -1/6) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 1/120) 1)) (pow 1 1)))) 24) into -1/180
12.972 * [backup-simplify]: Simplify (+ (* (- -1) (log ky)) 0) into (log ky)
12.973 * [backup-simplify]: Simplify (+ (* 1/3 -1/180) (+ (* 0 0) (+ (* 0 -1/6) (+ (* 0 0) (* 0 (log ky)))))) into (- 1/540)
12.978 * [backup-simplify]: Simplify (* (exp (* 1/3 (log ky))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (- 1/18) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (- 1/18) 2) 2)) (* (/ (pow (- 1/540) 1) 1)))) into (* -1/3240 (pow ky 1/3))
12.979 * [backup-simplify]: Simplify (* -1/3240 (pow ky 1/3)) into (* -1/3240 (pow ky 1/3))
12.979 * [backup-simplify]: Simplify (+ (* (* -1/3240 (pow ky 1/3)) (pow ky 4)) (+ (* (* -1/18 (pow ky 1/3)) (pow ky 2)) (pow ky 1/3))) into (- (pow ky 1/3) (+ (* 1/3240 (pow (pow ky 13) 1/3)) (* 1/18 (pow (pow ky 7) 1/3))))
12.979 * [backup-simplify]: Simplify (cbrt (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 1/3)
12.980 * [approximate]: Taking taylor expansion of (pow (sin (/ 1 ky)) 1/3) in (ky) around 0
12.980 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 1/3) in ky
12.980 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ 1 ky))))) in ky
12.980 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ 1 ky)))) in ky
12.980 * [taylor]: Taking taylor expansion of 1/3 in ky
12.980 * [backup-simplify]: Simplify 1/3 into 1/3
12.980 * [taylor]: Taking taylor expansion of (log (sin (/ 1 ky))) in ky
12.980 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
12.980 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
12.980 * [taylor]: Taking taylor expansion of ky in ky
12.980 * [backup-simplify]: Simplify 0 into 0
12.980 * [backup-simplify]: Simplify 1 into 1
12.980 * [backup-simplify]: Simplify (/ 1 1) into 1
12.980 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
12.980 * [backup-simplify]: Simplify (log (sin (/ 1 ky))) into (log (sin (/ 1 ky)))
12.981 * [backup-simplify]: Simplify (* 1/3 (log (sin (/ 1 ky)))) into (* 1/3 (log (sin (/ 1 ky))))
12.981 * [backup-simplify]: Simplify (exp (* 1/3 (log (sin (/ 1 ky))))) into (pow (sin (/ 1 ky)) 1/3)
12.981 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 1/3) in ky
12.981 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ 1 ky))))) in ky
12.981 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ 1 ky)))) in ky
12.981 * [taylor]: Taking taylor expansion of 1/3 in ky
12.981 * [backup-simplify]: Simplify 1/3 into 1/3
12.981 * [taylor]: Taking taylor expansion of (log (sin (/ 1 ky))) in ky
12.981 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
12.981 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
12.981 * [taylor]: Taking taylor expansion of ky in ky
12.981 * [backup-simplify]: Simplify 0 into 0
12.981 * [backup-simplify]: Simplify 1 into 1
12.981 * [backup-simplify]: Simplify (/ 1 1) into 1
12.982 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
12.982 * [backup-simplify]: Simplify (log (sin (/ 1 ky))) into (log (sin (/ 1 ky)))
12.982 * [backup-simplify]: Simplify (* 1/3 (log (sin (/ 1 ky)))) into (* 1/3 (log (sin (/ 1 ky))))
12.982 * [backup-simplify]: Simplify (exp (* 1/3 (log (sin (/ 1 ky))))) into (pow (sin (/ 1 ky)) 1/3)
12.982 * [backup-simplify]: Simplify (pow (sin (/ 1 ky)) 1/3) into (pow (sin (/ 1 ky)) 1/3)
12.983 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sin (/ 1 ky)) 1)))) 1) into 0
12.984 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (sin (/ 1 ky))))) into 0
12.985 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sin (/ 1 ky))))) (+ (* (/ (pow 0 1) 1)))) into 0
12.985 * [backup-simplify]: Simplify 0 into 0
12.987 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sin (/ 1 ky)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sin (/ 1 ky)) 1)))) 2) into 0
12.988 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sin (/ 1 ky)))))) into 0
12.989 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sin (/ 1 ky))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
12.989 * [backup-simplify]: Simplify 0 into 0
12.992 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sin (/ 1 ky)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sin (/ 1 ky)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sin (/ 1 ky)) 1)))) 6) into 0
12.993 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sin (/ 1 ky))))))) into 0
12.995 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sin (/ 1 ky))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
12.995 * [backup-simplify]: Simplify 0 into 0
13.000 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sin (/ 1 ky)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (sin (/ 1 ky)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (sin (/ 1 ky)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sin (/ 1 ky)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (sin (/ 1 ky)) 1)))) 24) into 0
13.002 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sin (/ 1 ky)))))))) into 0
13.004 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sin (/ 1 ky))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
13.004 * [backup-simplify]: Simplify 0 into 0
13.012 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (sin (/ 1 ky)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (sin (/ 1 ky)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (sin (/ 1 ky)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (sin (/ 1 ky)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (sin (/ 1 ky)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (sin (/ 1 ky)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (sin (/ 1 ky)) 1)))) 120) into 0
13.015 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sin (/ 1 ky))))))))) into 0
13.018 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sin (/ 1 ky))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
13.018 * [backup-simplify]: Simplify 0 into 0
13.038 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (sin (/ 1 ky)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (sin (/ 1 ky)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (sin (/ 1 ky)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (sin (/ 1 ky)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (sin (/ 1 ky)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (sin (/ 1 ky)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (sin (/ 1 ky)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (sin (/ 1 ky)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (sin (/ 1 ky)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (sin (/ 1 ky)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (sin (/ 1 ky)) 1)))) 720) into 0
13.039 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sin (/ 1 ky)))))))))) into 0
13.042 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sin (/ 1 ky))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
13.042 * [backup-simplify]: Simplify 0 into 0
13.042 * [backup-simplify]: Simplify (pow (sin (/ 1 (/ 1 ky))) 1/3) into (pow (sin ky) 1/3)
13.043 * [backup-simplify]: Simplify (cbrt (sin (/ 1 (- ky)))) into (pow (sin (/ -1 ky)) 1/3)
13.043 * [approximate]: Taking taylor expansion of (pow (sin (/ -1 ky)) 1/3) in (ky) around 0
13.043 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 1/3) in ky
13.043 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ -1 ky))))) in ky
13.043 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ -1 ky)))) in ky
13.043 * [taylor]: Taking taylor expansion of 1/3 in ky
13.043 * [backup-simplify]: Simplify 1/3 into 1/3
13.043 * [taylor]: Taking taylor expansion of (log (sin (/ -1 ky))) in ky
13.043 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
13.043 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
13.043 * [taylor]: Taking taylor expansion of -1 in ky
13.043 * [backup-simplify]: Simplify -1 into -1
13.043 * [taylor]: Taking taylor expansion of ky in ky
13.043 * [backup-simplify]: Simplify 0 into 0
13.043 * [backup-simplify]: Simplify 1 into 1
13.043 * [backup-simplify]: Simplify (/ -1 1) into -1
13.043 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
13.043 * [backup-simplify]: Simplify (log (sin (/ -1 ky))) into (log (sin (/ -1 ky)))
13.043 * [backup-simplify]: Simplify (* 1/3 (log (sin (/ -1 ky)))) into (* 1/3 (log (sin (/ -1 ky))))
13.043 * [backup-simplify]: Simplify (exp (* 1/3 (log (sin (/ -1 ky))))) into (pow (sin (/ -1 ky)) 1/3)
13.043 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 1/3) in ky
13.043 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ -1 ky))))) in ky
13.043 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ -1 ky)))) in ky
13.043 * [taylor]: Taking taylor expansion of 1/3 in ky
13.044 * [backup-simplify]: Simplify 1/3 into 1/3
13.044 * [taylor]: Taking taylor expansion of (log (sin (/ -1 ky))) in ky
13.044 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
13.044 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
13.044 * [taylor]: Taking taylor expansion of -1 in ky
13.044 * [backup-simplify]: Simplify -1 into -1
13.044 * [taylor]: Taking taylor expansion of ky in ky
13.044 * [backup-simplify]: Simplify 0 into 0
13.044 * [backup-simplify]: Simplify 1 into 1
13.044 * [backup-simplify]: Simplify (/ -1 1) into -1
13.044 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
13.044 * [backup-simplify]: Simplify (log (sin (/ -1 ky))) into (log (sin (/ -1 ky)))
13.044 * [backup-simplify]: Simplify (* 1/3 (log (sin (/ -1 ky)))) into (* 1/3 (log (sin (/ -1 ky))))
13.044 * [backup-simplify]: Simplify (exp (* 1/3 (log (sin (/ -1 ky))))) into (pow (sin (/ -1 ky)) 1/3)
13.044 * [backup-simplify]: Simplify (pow (sin (/ -1 ky)) 1/3) into (pow (sin (/ -1 ky)) 1/3)
13.045 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sin (/ -1 ky)) 1)))) 1) into 0
13.045 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (sin (/ -1 ky))))) into 0
13.046 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sin (/ -1 ky))))) (+ (* (/ (pow 0 1) 1)))) into 0
13.046 * [backup-simplify]: Simplify 0 into 0
13.047 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sin (/ -1 ky)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sin (/ -1 ky)) 1)))) 2) into 0
13.048 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sin (/ -1 ky)))))) into 0
13.048 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sin (/ -1 ky))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
13.048 * [backup-simplify]: Simplify 0 into 0
13.050 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sin (/ -1 ky)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sin (/ -1 ky)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sin (/ -1 ky)) 1)))) 6) into 0
13.051 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sin (/ -1 ky))))))) into 0
13.052 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sin (/ -1 ky))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
13.052 * [backup-simplify]: Simplify 0 into 0
13.055 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sin (/ -1 ky)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (sin (/ -1 ky)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (sin (/ -1 ky)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sin (/ -1 ky)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (sin (/ -1 ky)) 1)))) 24) into 0
13.056 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sin (/ -1 ky)))))))) into 0
13.058 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sin (/ -1 ky))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
13.058 * [backup-simplify]: Simplify 0 into 0
13.064 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (sin (/ -1 ky)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (sin (/ -1 ky)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (sin (/ -1 ky)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (sin (/ -1 ky)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (sin (/ -1 ky)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (sin (/ -1 ky)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (sin (/ -1 ky)) 1)))) 120) into 0
13.067 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sin (/ -1 ky))))))))) into 0
13.071 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sin (/ -1 ky))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
13.071 * [backup-simplify]: Simplify 0 into 0
13.084 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (sin (/ -1 ky)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (sin (/ -1 ky)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (sin (/ -1 ky)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (sin (/ -1 ky)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (sin (/ -1 ky)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (sin (/ -1 ky)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (sin (/ -1 ky)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (sin (/ -1 ky)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (sin (/ -1 ky)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (sin (/ -1 ky)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (sin (/ -1 ky)) 1)))) 720) into 0
13.087 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sin (/ -1 ky)))))))))) into 0
13.093 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sin (/ -1 ky))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
13.093 * [backup-simplify]: Simplify 0 into 0
13.093 * [backup-simplify]: Simplify (pow (sin (/ -1 (/ 1 (- ky)))) 1/3) into (pow (sin ky) 1/3)
13.093 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1)
13.093 * [backup-simplify]: Simplify (cbrt (sin ky)) into (pow (sin ky) 1/3)
13.093 * [approximate]: Taking taylor expansion of (pow (sin ky) 1/3) in (ky) around 0
13.093 * [taylor]: Taking taylor expansion of (pow (sin ky) 1/3) in ky
13.093 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin ky)))) in ky
13.093 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin ky))) in ky
13.093 * [taylor]: Taking taylor expansion of 1/3 in ky
13.093 * [backup-simplify]: Simplify 1/3 into 1/3
13.093 * [taylor]: Taking taylor expansion of (log (sin ky)) in ky
13.093 * [taylor]: Taking taylor expansion of (sin ky) in ky
13.093 * [taylor]: Taking taylor expansion of ky in ky
13.093 * [backup-simplify]: Simplify 0 into 0
13.093 * [backup-simplify]: Simplify 1 into 1
13.094 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
13.094 * [backup-simplify]: Simplify (log 1) into 0
13.094 * [backup-simplify]: Simplify (+ (* (- -1) (log ky)) 0) into (log ky)
13.094 * [backup-simplify]: Simplify (* 1/3 (log ky)) into (* 1/3 (log ky))
13.094 * [backup-simplify]: Simplify (exp (* 1/3 (log ky))) into (pow ky 1/3)
13.094 * [taylor]: Taking taylor expansion of (pow (sin ky) 1/3) in ky
13.094 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin ky)))) in ky
13.094 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin ky))) in ky
13.094 * [taylor]: Taking taylor expansion of 1/3 in ky
13.094 * [backup-simplify]: Simplify 1/3 into 1/3
13.094 * [taylor]: Taking taylor expansion of (log (sin ky)) in ky
13.094 * [taylor]: Taking taylor expansion of (sin ky) in ky
13.094 * [taylor]: Taking taylor expansion of ky in ky
13.094 * [backup-simplify]: Simplify 0 into 0
13.094 * [backup-simplify]: Simplify 1 into 1
13.095 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
13.095 * [backup-simplify]: Simplify (log 1) into 0
13.096 * [backup-simplify]: Simplify (+ (* (- -1) (log ky)) 0) into (log ky)
13.096 * [backup-simplify]: Simplify (* 1/3 (log ky)) into (* 1/3 (log ky))
13.096 * [backup-simplify]: Simplify (exp (* 1/3 (log ky))) into (pow ky 1/3)
13.096 * [backup-simplify]: Simplify (pow ky 1/3) into (pow ky 1/3)
13.096 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
13.097 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
13.097 * [backup-simplify]: Simplify (+ (* (- -1) (log ky)) 0) into (log ky)
13.098 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log ky))) into 0
13.098 * [backup-simplify]: Simplify (* (exp (* 1/3 (log ky))) (+ (* (/ (pow 0 1) 1)))) into 0
13.098 * [backup-simplify]: Simplify 0 into 0
13.099 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
13.101 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/6) 1)) (pow 1 1)))) 2) into -1/6
13.101 * [backup-simplify]: Simplify (+ (* (- -1) (log ky)) 0) into (log ky)
13.101 * [backup-simplify]: Simplify (+ (* 1/3 -1/6) (+ (* 0 0) (* 0 (log ky)))) into (- 1/18)
13.102 * [backup-simplify]: Simplify (* (exp (* 1/3 (log ky))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- 1/18) 1) 1)))) into (* -1/18 (pow ky 1/3))
13.103 * [backup-simplify]: Simplify (* -1/18 (pow ky 1/3)) into (* -1/18 (pow ky 1/3))
13.103 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
13.106 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 -1/6) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
13.107 * [backup-simplify]: Simplify (+ (* (- -1) (log ky)) 0) into (log ky)
13.107 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 -1/6) (+ (* 0 0) (* 0 (log ky))))) into 0
13.109 * [backup-simplify]: Simplify (* (exp (* 1/3 (log ky))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- 1/18) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
13.109 * [backup-simplify]: Simplify 0 into 0
13.111 * [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
13.117 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 -1/6) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 -1/6) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 1/120) 1)) (pow 1 1)))) 24) into -1/180
13.117 * [backup-simplify]: Simplify (+ (* (- -1) (log ky)) 0) into (log ky)
13.118 * [backup-simplify]: Simplify (+ (* 1/3 -1/180) (+ (* 0 0) (+ (* 0 -1/6) (+ (* 0 0) (* 0 (log ky)))))) into (- 1/540)
13.121 * [backup-simplify]: Simplify (* (exp (* 1/3 (log ky))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (- 1/18) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (- 1/18) 2) 2)) (* (/ (pow (- 1/540) 1) 1)))) into (* -1/3240 (pow ky 1/3))
13.122 * [backup-simplify]: Simplify (* -1/3240 (pow ky 1/3)) into (* -1/3240 (pow ky 1/3))
13.122 * [backup-simplify]: Simplify (+ (* (* -1/3240 (pow ky 1/3)) (pow ky 4)) (+ (* (* -1/18 (pow ky 1/3)) (pow ky 2)) (pow ky 1/3))) into (- (pow ky 1/3) (+ (* 1/3240 (pow (pow ky 13) 1/3)) (* 1/18 (pow (pow ky 7) 1/3))))
13.122 * [backup-simplify]: Simplify (cbrt (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 1/3)
13.123 * [approximate]: Taking taylor expansion of (pow (sin (/ 1 ky)) 1/3) in (ky) around 0
13.123 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 1/3) in ky
13.123 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ 1 ky))))) in ky
13.123 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ 1 ky)))) in ky
13.123 * [taylor]: Taking taylor expansion of 1/3 in ky
13.123 * [backup-simplify]: Simplify 1/3 into 1/3
13.123 * [taylor]: Taking taylor expansion of (log (sin (/ 1 ky))) in ky
13.123 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
13.123 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
13.123 * [taylor]: Taking taylor expansion of ky in ky
13.123 * [backup-simplify]: Simplify 0 into 0
13.123 * [backup-simplify]: Simplify 1 into 1
13.123 * [backup-simplify]: Simplify (/ 1 1) into 1
13.123 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
13.124 * [backup-simplify]: Simplify (log (sin (/ 1 ky))) into (log (sin (/ 1 ky)))
13.124 * [backup-simplify]: Simplify (* 1/3 (log (sin (/ 1 ky)))) into (* 1/3 (log (sin (/ 1 ky))))
13.124 * [backup-simplify]: Simplify (exp (* 1/3 (log (sin (/ 1 ky))))) into (pow (sin (/ 1 ky)) 1/3)
13.124 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 1/3) in ky
13.124 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ 1 ky))))) in ky
13.124 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ 1 ky)))) in ky
13.124 * [taylor]: Taking taylor expansion of 1/3 in ky
13.124 * [backup-simplify]: Simplify 1/3 into 1/3
13.124 * [taylor]: Taking taylor expansion of (log (sin (/ 1 ky))) in ky
13.124 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
13.124 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
13.124 * [taylor]: Taking taylor expansion of ky in ky
13.124 * [backup-simplify]: Simplify 0 into 0
13.124 * [backup-simplify]: Simplify 1 into 1
13.125 * [backup-simplify]: Simplify (/ 1 1) into 1
13.125 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
13.125 * [backup-simplify]: Simplify (log (sin (/ 1 ky))) into (log (sin (/ 1 ky)))
13.125 * [backup-simplify]: Simplify (* 1/3 (log (sin (/ 1 ky)))) into (* 1/3 (log (sin (/ 1 ky))))
13.125 * [backup-simplify]: Simplify (exp (* 1/3 (log (sin (/ 1 ky))))) into (pow (sin (/ 1 ky)) 1/3)
13.125 * [backup-simplify]: Simplify (pow (sin (/ 1 ky)) 1/3) into (pow (sin (/ 1 ky)) 1/3)
13.126 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sin (/ 1 ky)) 1)))) 1) into 0
13.127 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (sin (/ 1 ky))))) into 0
13.128 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sin (/ 1 ky))))) (+ (* (/ (pow 0 1) 1)))) into 0
13.128 * [backup-simplify]: Simplify 0 into 0
13.130 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sin (/ 1 ky)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sin (/ 1 ky)) 1)))) 2) into 0
13.131 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sin (/ 1 ky)))))) into 0
13.132 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sin (/ 1 ky))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
13.132 * [backup-simplify]: Simplify 0 into 0
13.135 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sin (/ 1 ky)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sin (/ 1 ky)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sin (/ 1 ky)) 1)))) 6) into 0
13.137 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sin (/ 1 ky))))))) into 0
13.138 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sin (/ 1 ky))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
13.138 * [backup-simplify]: Simplify 0 into 0
13.141 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sin (/ 1 ky)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (sin (/ 1 ky)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (sin (/ 1 ky)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sin (/ 1 ky)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (sin (/ 1 ky)) 1)))) 24) into 0
13.142 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sin (/ 1 ky)))))))) into 0
13.149 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sin (/ 1 ky))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
13.149 * [backup-simplify]: Simplify 0 into 0
13.156 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (sin (/ 1 ky)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (sin (/ 1 ky)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (sin (/ 1 ky)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (sin (/ 1 ky)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (sin (/ 1 ky)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (sin (/ 1 ky)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (sin (/ 1 ky)) 1)))) 120) into 0
13.158 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sin (/ 1 ky))))))))) into 0
13.162 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sin (/ 1 ky))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
13.162 * [backup-simplify]: Simplify 0 into 0
13.176 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (sin (/ 1 ky)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (sin (/ 1 ky)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (sin (/ 1 ky)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (sin (/ 1 ky)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (sin (/ 1 ky)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (sin (/ 1 ky)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (sin (/ 1 ky)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (sin (/ 1 ky)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (sin (/ 1 ky)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (sin (/ 1 ky)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (sin (/ 1 ky)) 1)))) 720) into 0
13.178 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sin (/ 1 ky)))))))))) into 0
13.181 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sin (/ 1 ky))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
13.181 * [backup-simplify]: Simplify 0 into 0
13.181 * [backup-simplify]: Simplify (pow (sin (/ 1 (/ 1 ky))) 1/3) into (pow (sin ky) 1/3)
13.181 * [backup-simplify]: Simplify (cbrt (sin (/ 1 (- ky)))) into (pow (sin (/ -1 ky)) 1/3)
13.181 * [approximate]: Taking taylor expansion of (pow (sin (/ -1 ky)) 1/3) in (ky) around 0
13.181 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 1/3) in ky
13.181 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ -1 ky))))) in ky
13.181 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ -1 ky)))) in ky
13.181 * [taylor]: Taking taylor expansion of 1/3 in ky
13.181 * [backup-simplify]: Simplify 1/3 into 1/3
13.181 * [taylor]: Taking taylor expansion of (log (sin (/ -1 ky))) in ky
13.182 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
13.182 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
13.182 * [taylor]: Taking taylor expansion of -1 in ky
13.182 * [backup-simplify]: Simplify -1 into -1
13.182 * [taylor]: Taking taylor expansion of ky in ky
13.182 * [backup-simplify]: Simplify 0 into 0
13.182 * [backup-simplify]: Simplify 1 into 1
13.182 * [backup-simplify]: Simplify (/ -1 1) into -1
13.182 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
13.182 * [backup-simplify]: Simplify (log (sin (/ -1 ky))) into (log (sin (/ -1 ky)))
13.182 * [backup-simplify]: Simplify (* 1/3 (log (sin (/ -1 ky)))) into (* 1/3 (log (sin (/ -1 ky))))
13.182 * [backup-simplify]: Simplify (exp (* 1/3 (log (sin (/ -1 ky))))) into (pow (sin (/ -1 ky)) 1/3)
13.182 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 1/3) in ky
13.182 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ -1 ky))))) in ky
13.182 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ -1 ky)))) in ky
13.182 * [taylor]: Taking taylor expansion of 1/3 in ky
13.182 * [backup-simplify]: Simplify 1/3 into 1/3
13.182 * [taylor]: Taking taylor expansion of (log (sin (/ -1 ky))) in ky
13.182 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
13.182 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
13.182 * [taylor]: Taking taylor expansion of -1 in ky
13.182 * [backup-simplify]: Simplify -1 into -1
13.182 * [taylor]: Taking taylor expansion of ky in ky
13.182 * [backup-simplify]: Simplify 0 into 0
13.182 * [backup-simplify]: Simplify 1 into 1
13.183 * [backup-simplify]: Simplify (/ -1 1) into -1
13.183 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
13.183 * [backup-simplify]: Simplify (log (sin (/ -1 ky))) into (log (sin (/ -1 ky)))
13.183 * [backup-simplify]: Simplify (* 1/3 (log (sin (/ -1 ky)))) into (* 1/3 (log (sin (/ -1 ky))))
13.183 * [backup-simplify]: Simplify (exp (* 1/3 (log (sin (/ -1 ky))))) into (pow (sin (/ -1 ky)) 1/3)
13.183 * [backup-simplify]: Simplify (pow (sin (/ -1 ky)) 1/3) into (pow (sin (/ -1 ky)) 1/3)
13.184 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sin (/ -1 ky)) 1)))) 1) into 0
13.184 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (sin (/ -1 ky))))) into 0
13.185 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sin (/ -1 ky))))) (+ (* (/ (pow 0 1) 1)))) into 0
13.185 * [backup-simplify]: Simplify 0 into 0
13.186 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sin (/ -1 ky)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sin (/ -1 ky)) 1)))) 2) into 0
13.186 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sin (/ -1 ky)))))) into 0
13.187 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sin (/ -1 ky))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
13.187 * [backup-simplify]: Simplify 0 into 0
13.189 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sin (/ -1 ky)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sin (/ -1 ky)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sin (/ -1 ky)) 1)))) 6) into 0
13.190 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sin (/ -1 ky))))))) into 0
13.191 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sin (/ -1 ky))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
13.191 * [backup-simplify]: Simplify 0 into 0
13.197 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sin (/ -1 ky)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (sin (/ -1 ky)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (sin (/ -1 ky)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sin (/ -1 ky)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (sin (/ -1 ky)) 1)))) 24) into 0
13.198 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sin (/ -1 ky)))))))) into 0
13.200 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sin (/ -1 ky))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
13.200 * [backup-simplify]: Simplify 0 into 0
13.205 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (sin (/ -1 ky)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (sin (/ -1 ky)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (sin (/ -1 ky)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (sin (/ -1 ky)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (sin (/ -1 ky)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (sin (/ -1 ky)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (sin (/ -1 ky)) 1)))) 120) into 0
13.207 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sin (/ -1 ky))))))))) into 0
13.210 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sin (/ -1 ky))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
13.210 * [backup-simplify]: Simplify 0 into 0
13.217 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (sin (/ -1 ky)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (sin (/ -1 ky)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (sin (/ -1 ky)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (sin (/ -1 ky)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (sin (/ -1 ky)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (sin (/ -1 ky)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (sin (/ -1 ky)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (sin (/ -1 ky)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (sin (/ -1 ky)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (sin (/ -1 ky)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (sin (/ -1 ky)) 1)))) 720) into 0
13.219 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sin (/ -1 ky)))))))))) into 0
13.222 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sin (/ -1 ky))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
13.222 * [backup-simplify]: Simplify 0 into 0
13.222 * [backup-simplify]: Simplify (pow (sin (/ -1 (/ 1 (- ky)))) 1/3) into (pow (sin ky) 1/3)
13.222 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2)
13.222 * [backup-simplify]: Simplify (cbrt (hypot (sin kx) (sin ky))) into (pow (hypot (sin kx) (sin ky)) 1/3)
13.222 * [approximate]: Taking taylor expansion of (pow (hypot (sin kx) (sin ky)) 1/3) in (kx ky) around 0
13.222 * [taylor]: Taking taylor expansion of (pow (hypot (sin kx) (sin ky)) 1/3) in ky
13.222 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (sin kx) (sin ky))))) in ky
13.223 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (sin kx) (sin ky)))) in ky
13.223 * [taylor]: Taking taylor expansion of 1/3 in ky
13.223 * [backup-simplify]: Simplify 1/3 into 1/3
13.223 * [taylor]: Taking taylor expansion of (log (hypot (sin kx) (sin ky))) in ky
13.223 * [taylor]: Taking taylor expansion of (hypot (sin kx) (sin ky)) in ky
13.223 * [taylor]: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
13.223 * [taylor]: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in ky
13.223 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
13.223 * [taylor]: Taking taylor expansion of (sin kx) in ky
13.223 * [taylor]: Taking taylor expansion of kx in ky
13.223 * [backup-simplify]: Simplify kx into kx
13.223 * [backup-simplify]: Simplify (sin kx) into (sin kx)
13.223 * [backup-simplify]: Simplify (cos kx) into (cos kx)
13.223 * [taylor]: Taking taylor expansion of (sin kx) in ky
13.223 * [taylor]: Taking taylor expansion of kx in ky
13.223 * [backup-simplify]: Simplify kx into kx
13.223 * [backup-simplify]: Simplify (sin kx) into (sin kx)
13.223 * [backup-simplify]: Simplify (cos kx) into (cos kx)
13.223 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
13.223 * [taylor]: Taking taylor expansion of (sin ky) in ky
13.223 * [taylor]: Taking taylor expansion of ky in ky
13.223 * [backup-simplify]: Simplify 0 into 0
13.223 * [backup-simplify]: Simplify 1 into 1
13.223 * [taylor]: Taking taylor expansion of (sin ky) in ky
13.223 * [taylor]: Taking taylor expansion of ky in ky
13.223 * [backup-simplify]: Simplify 0 into 0
13.223 * [backup-simplify]: Simplify 1 into 1
13.223 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
13.223 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
13.223 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
13.223 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
13.223 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
13.223 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
13.223 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
13.224 * [backup-simplify]: Simplify (* 0 0) into 0
13.224 * [backup-simplify]: Simplify (+ (pow (sin kx) 2) 0) into (pow (sin kx) 2)
13.224 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
13.224 * [backup-simplify]: Simplify (+ 0) into 0
13.225 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
13.225 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
13.225 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
13.226 * [backup-simplify]: Simplify (+ 0 0) into 0
13.226 * [backup-simplify]: Simplify (+ 0) into 0
13.226 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
13.227 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
13.227 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
13.227 * [backup-simplify]: Simplify (+ 0 0) into 0
13.227 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
13.228 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
13.228 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
13.228 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
13.229 * [backup-simplify]: Simplify (+ 0 0) into 0
13.229 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
13.229 * [backup-simplify]: Simplify (log (sin kx)) into (log (sin kx))
13.229 * [backup-simplify]: Simplify (* 1/3 (log (sin kx))) into (* 1/3 (log (sin kx)))
13.229 * [backup-simplify]: Simplify (exp (* 1/3 (log (sin kx)))) into (pow (sin kx) 1/3)
13.229 * [taylor]: Taking taylor expansion of (pow (hypot (sin kx) (sin ky)) 1/3) in kx
13.229 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (sin kx) (sin ky))))) in kx
13.229 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (sin kx) (sin ky)))) in kx
13.229 * [taylor]: Taking taylor expansion of 1/3 in kx
13.229 * [backup-simplify]: Simplify 1/3 into 1/3
13.229 * [taylor]: Taking taylor expansion of (log (hypot (sin kx) (sin ky))) in kx
13.229 * [taylor]: Taking taylor expansion of (hypot (sin kx) (sin ky)) in kx
13.229 * [taylor]: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
13.229 * [taylor]: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in kx
13.229 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in kx
13.229 * [taylor]: Taking taylor expansion of (sin kx) in kx
13.229 * [taylor]: Taking taylor expansion of kx in kx
13.229 * [backup-simplify]: Simplify 0 into 0
13.229 * [backup-simplify]: Simplify 1 into 1
13.229 * [taylor]: Taking taylor expansion of (sin kx) in kx
13.229 * [taylor]: Taking taylor expansion of kx in kx
13.229 * [backup-simplify]: Simplify 0 into 0
13.229 * [backup-simplify]: Simplify 1 into 1
13.229 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in kx
13.229 * [taylor]: Taking taylor expansion of (sin ky) in kx
13.229 * [taylor]: Taking taylor expansion of ky in kx
13.230 * [backup-simplify]: Simplify ky into ky
13.230 * [backup-simplify]: Simplify (sin ky) into (sin ky)
13.230 * [backup-simplify]: Simplify (cos ky) into (cos ky)
13.230 * [taylor]: Taking taylor expansion of (sin ky) in kx
13.230 * [taylor]: Taking taylor expansion of ky in kx
13.230 * [backup-simplify]: Simplify ky into ky
13.230 * [backup-simplify]: Simplify (sin ky) into (sin ky)
13.230 * [backup-simplify]: Simplify (cos ky) into (cos ky)
13.230 * [backup-simplify]: Simplify (* 0 0) into 0
13.230 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
13.230 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
13.230 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
13.230 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
13.230 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
13.230 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
13.230 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
13.230 * [backup-simplify]: Simplify (+ 0 (pow (sin ky) 2)) into (pow (sin ky) 2)
13.231 * [backup-simplify]: Simplify (sqrt (pow (sin ky) 2)) into (sin ky)
13.231 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
13.231 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
13.232 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
13.232 * [backup-simplify]: Simplify (+ 0) into 0
13.232 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
13.233 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
13.233 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
13.233 * [backup-simplify]: Simplify (+ 0 0) into 0
13.234 * [backup-simplify]: Simplify (+ 0) into 0
13.234 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
13.234 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
13.235 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
13.235 * [backup-simplify]: Simplify (+ 0 0) into 0
13.235 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
13.235 * [backup-simplify]: Simplify (+ 0 0) into 0
13.235 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin ky) 2)))) into 0
13.235 * [backup-simplify]: Simplify (log (sin ky)) into (log (sin ky))
13.236 * [backup-simplify]: Simplify (* 1/3 (log (sin ky))) into (* 1/3 (log (sin ky)))
13.236 * [backup-simplify]: Simplify (exp (* 1/3 (log (sin ky)))) into (pow (sin ky) 1/3)
13.236 * [taylor]: Taking taylor expansion of (pow (hypot (sin kx) (sin ky)) 1/3) in kx
13.236 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (sin kx) (sin ky))))) in kx
13.236 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (sin kx) (sin ky)))) in kx
13.236 * [taylor]: Taking taylor expansion of 1/3 in kx
13.236 * [backup-simplify]: Simplify 1/3 into 1/3
13.236 * [taylor]: Taking taylor expansion of (log (hypot (sin kx) (sin ky))) in kx
13.236 * [taylor]: Taking taylor expansion of (hypot (sin kx) (sin ky)) in kx
13.236 * [taylor]: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
13.236 * [taylor]: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in kx
13.236 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in kx
13.236 * [taylor]: Taking taylor expansion of (sin kx) in kx
13.236 * [taylor]: Taking taylor expansion of kx in kx
13.236 * [backup-simplify]: Simplify 0 into 0
13.236 * [backup-simplify]: Simplify 1 into 1
13.236 * [taylor]: Taking taylor expansion of (sin kx) in kx
13.236 * [taylor]: Taking taylor expansion of kx in kx
13.236 * [backup-simplify]: Simplify 0 into 0
13.236 * [backup-simplify]: Simplify 1 into 1
13.236 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in kx
13.236 * [taylor]: Taking taylor expansion of (sin ky) in kx
13.236 * [taylor]: Taking taylor expansion of ky in kx
13.236 * [backup-simplify]: Simplify ky into ky
13.236 * [backup-simplify]: Simplify (sin ky) into (sin ky)
13.236 * [backup-simplify]: Simplify (cos ky) into (cos ky)
13.236 * [taylor]: Taking taylor expansion of (sin ky) in kx
13.236 * [taylor]: Taking taylor expansion of ky in kx
13.236 * [backup-simplify]: Simplify ky into ky
13.236 * [backup-simplify]: Simplify (sin ky) into (sin ky)
13.236 * [backup-simplify]: Simplify (cos ky) into (cos ky)
13.237 * [backup-simplify]: Simplify (* 0 0) into 0
13.237 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
13.237 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
13.237 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
13.237 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
13.237 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
13.237 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
13.237 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
13.238 * [backup-simplify]: Simplify (+ 0 (pow (sin ky) 2)) into (pow (sin ky) 2)
13.238 * [backup-simplify]: Simplify (sqrt (pow (sin ky) 2)) into (sin ky)
13.238 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
13.239 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
13.240 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
13.240 * [backup-simplify]: Simplify (+ 0) into 0
13.241 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
13.242 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
13.242 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
13.242 * [backup-simplify]: Simplify (+ 0 0) into 0
13.243 * [backup-simplify]: Simplify (+ 0) into 0
13.243 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
13.244 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
13.245 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
13.245 * [backup-simplify]: Simplify (+ 0 0) into 0
13.245 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
13.246 * [backup-simplify]: Simplify (+ 0 0) into 0
13.246 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin ky) 2)))) into 0
13.246 * [backup-simplify]: Simplify (log (sin ky)) into (log (sin ky))
13.246 * [backup-simplify]: Simplify (* 1/3 (log (sin ky))) into (* 1/3 (log (sin ky)))
13.246 * [backup-simplify]: Simplify (exp (* 1/3 (log (sin ky)))) into (pow (sin ky) 1/3)
13.246 * [taylor]: Taking taylor expansion of (pow (sin ky) 1/3) in ky
13.246 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin ky)))) in ky
13.246 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin ky))) in ky
13.246 * [taylor]: Taking taylor expansion of 1/3 in ky
13.246 * [backup-simplify]: Simplify 1/3 into 1/3
13.246 * [taylor]: Taking taylor expansion of (log (sin ky)) in ky
13.246 * [taylor]: Taking taylor expansion of (sin ky) in ky
13.246 * [taylor]: Taking taylor expansion of ky in ky
13.246 * [backup-simplify]: Simplify 0 into 0
13.246 * [backup-simplify]: Simplify 1 into 1
13.247 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
13.248 * [backup-simplify]: Simplify (log 1) into 0
13.248 * [backup-simplify]: Simplify (+ (* (- -1) (log ky)) 0) into (log ky)
13.248 * [backup-simplify]: Simplify (* 1/3 (log ky)) into (* 1/3 (log ky))
13.248 * [backup-simplify]: Simplify (exp (* 1/3 (log ky))) into (pow ky 1/3)
13.249 * [backup-simplify]: Simplify (pow ky 1/3) into (pow ky 1/3)
13.250 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sin ky) 1)))) 1) into 0
13.250 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (sin ky)))) into 0
13.251 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sin ky)))) (+ (* (/ (pow 0 1) 1)))) into 0
13.251 * [taylor]: Taking taylor expansion of 0 in ky
13.252 * [backup-simplify]: Simplify 0 into 0
13.252 * [backup-simplify]: Simplify 0 into 0
13.252 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
13.253 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
13.253 * [backup-simplify]: Simplify (+ (* (- -1) (log ky)) 0) into (log ky)
13.254 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log ky))) into 0
13.254 * [backup-simplify]: Simplify (* (exp (* 1/3 (log ky))) (+ (* (/ (pow 0 1) 1)))) into 0
13.254 * [backup-simplify]: Simplify 0 into 0
13.255 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
13.255 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
13.256 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
13.257 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
13.257 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 1))) into 0
13.257 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
13.258 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (* 0 0))) into 0
13.258 * [backup-simplify]: Simplify (+ 0 0) into 0
13.259 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
13.259 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 1))) into 0
13.259 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
13.260 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (* 0 0))) into 0
13.260 * [backup-simplify]: Simplify (+ 0 0) into 0
13.260 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 (sin ky)))) into 0
13.261 * [backup-simplify]: Simplify (+ 1 0) into 1
13.261 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sin ky))) into (/ 1/2 (sin ky))
13.262 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sin ky) 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (sin ky))) 1)) (pow (sin ky) 1)))) 2) into (/ 1/2 (pow (sin ky) 2))
13.266 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/2 (pow (sin ky) 2))) (+ (* 0 0) (* 0 (log (sin ky))))) into (* 1/6 (/ 1 (pow (sin ky) 2)))
13.267 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sin ky)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow (sin ky) 2))) 1) 1)))) into (* 1/6 (pow (/ 1 (pow (sin ky) 5)) 1/3))
13.267 * [taylor]: Taking taylor expansion of (* 1/6 (pow (/ 1 (pow (sin ky) 5)) 1/3)) in ky
13.267 * [taylor]: Taking taylor expansion of 1/6 in ky
13.267 * [backup-simplify]: Simplify 1/6 into 1/6
13.267 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (sin ky) 5)) 1/3) in ky
13.267 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (sin ky) 5))))) in ky
13.267 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (sin ky) 5)))) in ky
13.267 * [taylor]: Taking taylor expansion of 1/3 in ky
13.267 * [backup-simplify]: Simplify 1/3 into 1/3
13.267 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sin ky) 5))) in ky
13.267 * [taylor]: Taking taylor expansion of (/ 1 (pow (sin ky) 5)) in ky
13.267 * [taylor]: Taking taylor expansion of (pow (sin ky) 5) in ky
13.267 * [taylor]: Taking taylor expansion of (sin ky) in ky
13.267 * [taylor]: Taking taylor expansion of ky in ky
13.267 * [backup-simplify]: Simplify 0 into 0
13.267 * [backup-simplify]: Simplify 1 into 1
13.268 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
13.268 * [backup-simplify]: Simplify (* 1 1) into 1
13.268 * [backup-simplify]: Simplify (* 1 1) into 1
13.268 * [backup-simplify]: Simplify (* 1 1) into 1
13.269 * [backup-simplify]: Simplify (/ 1 1) into 1
13.269 * [backup-simplify]: Simplify (log 1) into 0
13.269 * [backup-simplify]: Simplify (+ (* (- 5) (log ky)) 0) into (- (* 5 (log ky)))
13.269 * [backup-simplify]: Simplify (* 1/3 (- (* 5 (log ky)))) into (* -5/3 (log ky))
13.269 * [backup-simplify]: Simplify (exp (* -5/3 (log ky))) into (pow ky -5/3)
13.269 * [backup-simplify]: Simplify (* 1/6 (pow ky -5/3)) into (* 1/6 (pow (/ 1 (pow ky 5)) 1/3))
13.270 * [backup-simplify]: Simplify (* 1/6 (pow (/ 1 (pow ky 5)) 1/3)) into (* 1/6 (pow (/ 1 (pow ky 5)) 1/3))
13.270 * [backup-simplify]: Simplify 0 into 0
13.270 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
13.272 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/6) 1)) (pow 1 1)))) 2) into -1/6
13.272 * [backup-simplify]: Simplify (+ (* (- -1) (log ky)) 0) into (log ky)
13.273 * [backup-simplify]: Simplify (+ (* 1/3 -1/6) (+ (* 0 0) (* 0 (log ky)))) into (- 1/18)
13.274 * [backup-simplify]: Simplify (* (exp (* 1/3 (log ky))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- 1/18) 1) 1)))) into (* -1/18 (pow ky 1/3))
13.274 * [backup-simplify]: Simplify (* -1/18 (pow ky 1/3)) into (* -1/18 (pow ky 1/3))
13.275 * [backup-simplify]: Simplify (+ (* (* -1/18 (pow ky 1/3)) (pow (* ky 1) 2)) (+ (* (* 1/6 (pow (/ 1 (pow ky 5)) 1/3)) (pow (* 1 kx) 2)) (pow ky 1/3))) into (- (+ (* 1/6 (* (pow kx 2) (pow (/ 1 (pow ky 5)) 1/3))) (pow ky 1/3)) (* 1/18 (pow (pow ky 7) 1/3)))
13.275 * [backup-simplify]: Simplify (cbrt (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) into (pow (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) 1/3)
13.275 * [approximate]: Taking taylor expansion of (pow (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) 1/3) in (kx ky) around 0
13.275 * [taylor]: Taking taylor expansion of (pow (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) 1/3) in ky
13.275 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))))) in ky
13.275 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (sin (/ 1 kx)) (sin (/ 1 ky))))) in ky
13.275 * [taylor]: Taking taylor expansion of 1/3 in ky
13.275 * [backup-simplify]: Simplify 1/3 into 1/3
13.275 * [taylor]: Taking taylor expansion of (log (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) in ky
13.275 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in ky
13.275 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))))
13.275 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in ky
13.275 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
13.275 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
13.275 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
13.275 * [taylor]: Taking taylor expansion of kx in ky
13.275 * [backup-simplify]: Simplify kx into kx
13.275 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
13.275 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
13.275 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
13.275 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
13.275 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
13.275 * [taylor]: Taking taylor expansion of kx in ky
13.275 * [backup-simplify]: Simplify kx into kx
13.275 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
13.275 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
13.275 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
13.275 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
13.275 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
13.275 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
13.275 * [taylor]: Taking taylor expansion of ky in ky
13.276 * [backup-simplify]: Simplify 0 into 0
13.276 * [backup-simplify]: Simplify 1 into 1
13.276 * [backup-simplify]: Simplify (/ 1 1) into 1
13.276 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
13.276 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
13.276 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
13.276 * [taylor]: Taking taylor expansion of ky in ky
13.276 * [backup-simplify]: Simplify 0 into 0
13.276 * [backup-simplify]: Simplify 1 into 1
13.276 * [backup-simplify]: Simplify (/ 1 1) into 1
13.276 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
13.276 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
13.276 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
13.276 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
13.277 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
13.277 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
13.277 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
13.277 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
13.277 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
13.277 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
13.277 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
13.278 * [backup-simplify]: Simplify (+ 0) into 0
13.278 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
13.278 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
13.278 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
13.279 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
13.279 * [backup-simplify]: Simplify (+ 0 0) into 0
13.279 * [backup-simplify]: Simplify (+ 0) into 0
13.280 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
13.280 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
13.280 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
13.281 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
13.281 * [backup-simplify]: Simplify (+ 0 0) into 0
13.281 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
13.281 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
13.282 * [backup-simplify]: Simplify (+ 0 0) into 0
13.282 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
13.283 * [backup-simplify]: Simplify (log (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (log (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))
13.283 * [backup-simplify]: Simplify (* 1/3 (log (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into (* 1/3 (log (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))
13.284 * [backup-simplify]: Simplify (exp (* 1/3 (log (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into (pow (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 1/3)
13.284 * [taylor]: Taking taylor expansion of (pow (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) 1/3) in kx
13.284 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))))) in kx
13.284 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (sin (/ 1 kx)) (sin (/ 1 ky))))) in kx
13.284 * [taylor]: Taking taylor expansion of 1/3 in kx
13.284 * [backup-simplify]: Simplify 1/3 into 1/3
13.284 * [taylor]: Taking taylor expansion of (log (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) in kx
13.284 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in kx
13.284 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))))
13.284 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in kx
13.284 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in kx
13.284 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
13.284 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
13.284 * [taylor]: Taking taylor expansion of kx in kx
13.284 * [backup-simplify]: Simplify 0 into 0
13.284 * [backup-simplify]: Simplify 1 into 1
13.285 * [backup-simplify]: Simplify (/ 1 1) into 1
13.285 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
13.285 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
13.285 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
13.285 * [taylor]: Taking taylor expansion of kx in kx
13.285 * [backup-simplify]: Simplify 0 into 0
13.285 * [backup-simplify]: Simplify 1 into 1
13.286 * [backup-simplify]: Simplify (/ 1 1) into 1
13.286 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
13.286 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in kx
13.286 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
13.286 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
13.286 * [taylor]: Taking taylor expansion of ky in kx
13.286 * [backup-simplify]: Simplify ky into ky
13.286 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
13.286 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
13.286 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
13.286 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
13.286 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
13.286 * [taylor]: Taking taylor expansion of ky in kx
13.286 * [backup-simplify]: Simplify ky into ky
13.286 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
13.286 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
13.286 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
13.287 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
13.287 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
13.287 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
13.287 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
13.287 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
13.287 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
13.287 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
13.287 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
13.288 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
13.288 * [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)))
13.288 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
13.289 * [backup-simplify]: Simplify (+ 0) into 0
13.289 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
13.290 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
13.290 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
13.291 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
13.291 * [backup-simplify]: Simplify (+ 0 0) into 0
13.292 * [backup-simplify]: Simplify (+ 0) into 0
13.292 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
13.292 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
13.293 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
13.294 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
13.294 * [backup-simplify]: Simplify (+ 0 0) into 0
13.294 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
13.295 * [backup-simplify]: Simplify (+ 0 0) into 0
13.295 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
13.295 * [backup-simplify]: Simplify (log (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (log (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))
13.296 * [backup-simplify]: Simplify (* 1/3 (log (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into (* 1/3 (log (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))
13.296 * [backup-simplify]: Simplify (exp (* 1/3 (log (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into (pow (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 1/3)
13.296 * [taylor]: Taking taylor expansion of (pow (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) 1/3) in kx
13.296 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))))) in kx
13.297 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (sin (/ 1 kx)) (sin (/ 1 ky))))) in kx
13.297 * [taylor]: Taking taylor expansion of 1/3 in kx
13.297 * [backup-simplify]: Simplify 1/3 into 1/3
13.297 * [taylor]: Taking taylor expansion of (log (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) in kx
13.297 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in kx
13.297 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))))
13.297 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in kx
13.297 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in kx
13.297 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
13.297 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
13.297 * [taylor]: Taking taylor expansion of kx in kx
13.297 * [backup-simplify]: Simplify 0 into 0
13.297 * [backup-simplify]: Simplify 1 into 1
13.297 * [backup-simplify]: Simplify (/ 1 1) into 1
13.298 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
13.298 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
13.298 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
13.298 * [taylor]: Taking taylor expansion of kx in kx
13.298 * [backup-simplify]: Simplify 0 into 0
13.298 * [backup-simplify]: Simplify 1 into 1
13.298 * [backup-simplify]: Simplify (/ 1 1) into 1
13.298 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
13.298 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in kx
13.298 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
13.298 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
13.298 * [taylor]: Taking taylor expansion of ky in kx
13.298 * [backup-simplify]: Simplify ky into ky
13.298 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
13.298 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
13.299 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
13.299 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
13.299 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
13.299 * [taylor]: Taking taylor expansion of ky in kx
13.299 * [backup-simplify]: Simplify ky into ky
13.299 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
13.299 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
13.299 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
13.299 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
13.299 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
13.299 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
13.299 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
13.300 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
13.300 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
13.300 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
13.300 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
13.300 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
13.301 * [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)))
13.301 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
13.301 * [backup-simplify]: Simplify (+ 0) into 0
13.302 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
13.302 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
13.303 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
13.304 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
13.304 * [backup-simplify]: Simplify (+ 0 0) into 0
13.305 * [backup-simplify]: Simplify (+ 0) into 0
13.305 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
13.305 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
13.306 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
13.307 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
13.307 * [backup-simplify]: Simplify (+ 0 0) into 0
13.307 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
13.308 * [backup-simplify]: Simplify (+ 0 0) into 0
13.308 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
13.309 * [backup-simplify]: Simplify (log (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (log (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))
13.309 * [backup-simplify]: Simplify (* 1/3 (log (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into (* 1/3 (log (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))
13.310 * [backup-simplify]: Simplify (exp (* 1/3 (log (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into (pow (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 1/3)
13.310 * [taylor]: Taking taylor expansion of (pow (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 1/3) in ky
13.310 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) in ky
13.310 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) in ky
13.310 * [taylor]: Taking taylor expansion of 1/3 in ky
13.310 * [backup-simplify]: Simplify 1/3 into 1/3
13.310 * [taylor]: Taking taylor expansion of (log (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in ky
13.310 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in ky
13.310 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in ky
13.310 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in ky
13.310 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
13.310 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
13.310 * [taylor]: Taking taylor expansion of kx in ky
13.310 * [backup-simplify]: Simplify kx into kx
13.310 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
13.310 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
13.310 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
13.311 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
13.311 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
13.311 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
13.311 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in ky
13.311 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
13.311 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
13.311 * [taylor]: Taking taylor expansion of ky in ky
13.311 * [backup-simplify]: Simplify 0 into 0
13.311 * [backup-simplify]: Simplify 1 into 1
13.311 * [backup-simplify]: Simplify (/ 1 1) into 1
13.312 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
13.312 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
13.312 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
13.312 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
13.313 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
13.313 * [backup-simplify]: Simplify (+ 0) into 0
13.314 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
13.314 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
13.315 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
13.315 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
13.316 * [backup-simplify]: Simplify (+ 0 0) into 0
13.316 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
13.316 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
13.316 * [backup-simplify]: Simplify (+ 0 0) into 0
13.317 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
13.317 * [backup-simplify]: Simplify (log (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (log (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))
13.318 * [backup-simplify]: Simplify (* 1/3 (log (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into (* 1/3 (log (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))
13.318 * [backup-simplify]: Simplify (exp (* 1/3 (log (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into (pow (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 1/3)
13.319 * [backup-simplify]: Simplify (pow (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 1/3) into (pow (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 1/3)
13.320 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 1)))) 1) into 0
13.321 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
13.323 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) (+ (* (/ (pow 0 1) 1)))) into 0
13.323 * [taylor]: Taking taylor expansion of 0 in ky
13.323 * [backup-simplify]: Simplify 0 into 0
13.323 * [backup-simplify]: Simplify 0 into 0
13.324 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 1)))) 1) into 0
13.325 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
13.326 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) (+ (* (/ (pow 0 1) 1)))) into 0
13.326 * [backup-simplify]: Simplify 0 into 0
13.327 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
13.328 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
13.329 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
13.329 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
13.330 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
13.330 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
13.331 * [backup-simplify]: Simplify (+ 0 0) into 0
13.332 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
13.333 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
13.333 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
13.334 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
13.334 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
13.335 * [backup-simplify]: Simplify (+ 0 0) into 0
13.335 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
13.336 * [backup-simplify]: Simplify (+ 0 0) into 0
13.337 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
13.339 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 1)))) 2) into 0
13.341 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) into 0
13.343 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
13.343 * [taylor]: Taking taylor expansion of 0 in ky
13.343 * [backup-simplify]: Simplify 0 into 0
13.343 * [backup-simplify]: Simplify 0 into 0
13.343 * [backup-simplify]: Simplify 0 into 0
13.344 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
13.344 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
13.345 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
13.345 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
13.346 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
13.346 * [backup-simplify]: Simplify (+ 0 0) into 0
13.347 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
13.348 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
13.348 * [backup-simplify]: Simplify (+ 0 0) into 0
13.349 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
13.352 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 1)))) 2) into 0
13.353 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) into 0
13.355 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
13.355 * [backup-simplify]: Simplify 0 into 0
13.356 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 kx)))))) into 0
13.357 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
13.358 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
13.358 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
13.360 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
13.361 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
13.361 * [backup-simplify]: Simplify (+ 0 0) into 0
13.362 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
13.363 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
13.363 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
13.365 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
13.365 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
13.366 * [backup-simplify]: Simplify (+ 0 0) into 0
13.367 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 ky)))))) into 0
13.367 * [backup-simplify]: Simplify (+ 0 0) into 0
13.368 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
13.371 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 1)))) 6) into 0
13.372 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))))) into 0
13.373 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
13.373 * [taylor]: Taking taylor expansion of 0 in ky
13.373 * [backup-simplify]: Simplify 0 into 0
13.373 * [backup-simplify]: Simplify 0 into 0
13.373 * [backup-simplify]: Simplify (pow (sqrt (+ (pow (sin (/ 1 (/ 1 kx))) 2) (pow (sin (/ 1 (/ 1 ky))) 2))) 1/3) into (pow (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) 1/3)
13.373 * [backup-simplify]: Simplify (cbrt (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky))))) into (pow (hypot (sin (/ -1 kx)) (sin (/ -1 ky))) 1/3)
13.373 * [approximate]: Taking taylor expansion of (pow (hypot (sin (/ -1 kx)) (sin (/ -1 ky))) 1/3) in (kx ky) around 0
13.373 * [taylor]: Taking taylor expansion of (pow (hypot (sin (/ -1 kx)) (sin (/ -1 ky))) 1/3) in ky
13.373 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))))) in ky
13.374 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (sin (/ -1 kx)) (sin (/ -1 ky))))) in ky
13.374 * [taylor]: Taking taylor expansion of 1/3 in ky
13.374 * [backup-simplify]: Simplify 1/3 into 1/3
13.374 * [taylor]: Taking taylor expansion of (log (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))) in ky
13.374 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 kx)) (sin (/ -1 ky))) in ky
13.374 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))))
13.374 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))) in ky
13.374 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
13.374 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
13.374 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
13.374 * [taylor]: Taking taylor expansion of -1 in ky
13.374 * [backup-simplify]: Simplify -1 into -1
13.374 * [taylor]: Taking taylor expansion of kx in ky
13.374 * [backup-simplify]: Simplify kx into kx
13.374 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
13.374 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
13.374 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
13.374 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
13.374 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
13.374 * [taylor]: Taking taylor expansion of -1 in ky
13.374 * [backup-simplify]: Simplify -1 into -1
13.374 * [taylor]: Taking taylor expansion of kx in ky
13.374 * [backup-simplify]: Simplify kx into kx
13.374 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
13.374 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
13.374 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
13.374 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
13.374 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
13.374 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
13.374 * [taylor]: Taking taylor expansion of -1 in ky
13.374 * [backup-simplify]: Simplify -1 into -1
13.374 * [taylor]: Taking taylor expansion of ky in ky
13.374 * [backup-simplify]: Simplify 0 into 0
13.374 * [backup-simplify]: Simplify 1 into 1
13.375 * [backup-simplify]: Simplify (/ -1 1) into -1
13.375 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
13.375 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
13.375 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
13.375 * [taylor]: Taking taylor expansion of -1 in ky
13.375 * [backup-simplify]: Simplify -1 into -1
13.375 * [taylor]: Taking taylor expansion of ky in ky
13.375 * [backup-simplify]: Simplify 0 into 0
13.375 * [backup-simplify]: Simplify 1 into 1
13.375 * [backup-simplify]: Simplify (/ -1 1) into -1
13.375 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
13.375 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
13.375 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
13.375 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
13.375 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
13.375 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
13.375 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
13.376 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
13.376 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
13.376 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
13.376 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
13.376 * [backup-simplify]: Simplify (+ 0) into 0
13.377 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
13.377 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
13.377 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
13.378 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
13.378 * [backup-simplify]: Simplify (+ 0 0) into 0
13.378 * [backup-simplify]: Simplify (+ 0) into 0
13.378 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
13.379 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
13.379 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
13.379 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
13.379 * [backup-simplify]: Simplify (+ 0 0) into 0
13.380 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
13.380 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
13.380 * [backup-simplify]: Simplify (+ 0 0) into 0
13.380 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
13.380 * [backup-simplify]: Simplify (log (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (log (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))
13.381 * [backup-simplify]: Simplify (* 1/3 (log (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into (* 1/3 (log (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))
13.381 * [backup-simplify]: Simplify (exp (* 1/3 (log (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into (pow (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 1/3)
13.381 * [taylor]: Taking taylor expansion of (pow (hypot (sin (/ -1 kx)) (sin (/ -1 ky))) 1/3) in kx
13.381 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))))) in kx
13.381 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (sin (/ -1 kx)) (sin (/ -1 ky))))) in kx
13.381 * [taylor]: Taking taylor expansion of 1/3 in kx
13.381 * [backup-simplify]: Simplify 1/3 into 1/3
13.381 * [taylor]: Taking taylor expansion of (log (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))) in kx
13.381 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 kx)) (sin (/ -1 ky))) in kx
13.381 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))))
13.381 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))) in kx
13.381 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in kx
13.381 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
13.381 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
13.381 * [taylor]: Taking taylor expansion of -1 in kx
13.381 * [backup-simplify]: Simplify -1 into -1
13.381 * [taylor]: Taking taylor expansion of kx in kx
13.381 * [backup-simplify]: Simplify 0 into 0
13.381 * [backup-simplify]: Simplify 1 into 1
13.382 * [backup-simplify]: Simplify (/ -1 1) into -1
13.382 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
13.382 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
13.382 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
13.382 * [taylor]: Taking taylor expansion of -1 in kx
13.382 * [backup-simplify]: Simplify -1 into -1
13.382 * [taylor]: Taking taylor expansion of kx in kx
13.382 * [backup-simplify]: Simplify 0 into 0
13.382 * [backup-simplify]: Simplify 1 into 1
13.382 * [backup-simplify]: Simplify (/ -1 1) into -1
13.382 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
13.382 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in kx
13.382 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
13.382 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
13.382 * [taylor]: Taking taylor expansion of -1 in kx
13.382 * [backup-simplify]: Simplify -1 into -1
13.382 * [taylor]: Taking taylor expansion of ky in kx
13.382 * [backup-simplify]: Simplify ky into ky
13.382 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
13.382 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
13.382 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
13.382 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
13.382 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
13.383 * [taylor]: Taking taylor expansion of -1 in kx
13.383 * [backup-simplify]: Simplify -1 into -1
13.383 * [taylor]: Taking taylor expansion of ky in kx
13.383 * [backup-simplify]: Simplify ky into ky
13.383 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
13.383 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
13.383 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
13.383 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
13.383 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
13.383 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
13.383 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
13.383 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
13.383 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
13.383 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
13.383 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
13.383 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
13.384 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
13.384 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
13.384 * [backup-simplify]: Simplify (+ 0) into 0
13.385 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
13.385 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
13.385 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
13.386 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
13.386 * [backup-simplify]: Simplify (+ 0 0) into 0
13.386 * [backup-simplify]: Simplify (+ 0) into 0
13.386 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
13.387 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
13.387 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
13.387 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
13.388 * [backup-simplify]: Simplify (+ 0 0) into 0
13.388 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
13.388 * [backup-simplify]: Simplify (+ 0 0) into 0
13.388 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
13.389 * [backup-simplify]: Simplify (log (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (log (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))
13.389 * [backup-simplify]: Simplify (* 1/3 (log (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into (* 1/3 (log (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))
13.389 * [backup-simplify]: Simplify (exp (* 1/3 (log (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into (pow (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 1/3)
13.389 * [taylor]: Taking taylor expansion of (pow (hypot (sin (/ -1 kx)) (sin (/ -1 ky))) 1/3) in kx
13.389 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))))) in kx
13.389 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (sin (/ -1 kx)) (sin (/ -1 ky))))) in kx
13.389 * [taylor]: Taking taylor expansion of 1/3 in kx
13.389 * [backup-simplify]: Simplify 1/3 into 1/3
13.389 * [taylor]: Taking taylor expansion of (log (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))) in kx
13.389 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 kx)) (sin (/ -1 ky))) in kx
13.389 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))))
13.389 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))) in kx
13.389 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in kx
13.389 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
13.389 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
13.389 * [taylor]: Taking taylor expansion of -1 in kx
13.389 * [backup-simplify]: Simplify -1 into -1
13.389 * [taylor]: Taking taylor expansion of kx in kx
13.389 * [backup-simplify]: Simplify 0 into 0
13.389 * [backup-simplify]: Simplify 1 into 1
13.390 * [backup-simplify]: Simplify (/ -1 1) into -1
13.390 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
13.390 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
13.390 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
13.390 * [taylor]: Taking taylor expansion of -1 in kx
13.390 * [backup-simplify]: Simplify -1 into -1
13.390 * [taylor]: Taking taylor expansion of kx in kx
13.390 * [backup-simplify]: Simplify 0 into 0
13.390 * [backup-simplify]: Simplify 1 into 1
13.390 * [backup-simplify]: Simplify (/ -1 1) into -1
13.390 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
13.390 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in kx
13.390 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
13.390 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
13.390 * [taylor]: Taking taylor expansion of -1 in kx
13.390 * [backup-simplify]: Simplify -1 into -1
13.390 * [taylor]: Taking taylor expansion of ky in kx
13.390 * [backup-simplify]: Simplify ky into ky
13.390 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
13.391 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
13.391 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
13.391 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
13.391 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
13.391 * [taylor]: Taking taylor expansion of -1 in kx
13.391 * [backup-simplify]: Simplify -1 into -1
13.391 * [taylor]: Taking taylor expansion of ky in kx
13.391 * [backup-simplify]: Simplify ky into ky
13.391 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
13.391 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
13.391 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
13.391 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
13.391 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
13.391 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
13.391 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
13.391 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
13.391 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
13.391 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
13.391 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
13.392 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
13.392 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
13.392 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
13.392 * [backup-simplify]: Simplify (+ 0) into 0
13.393 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
13.393 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
13.393 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
13.394 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
13.394 * [backup-simplify]: Simplify (+ 0 0) into 0
13.394 * [backup-simplify]: Simplify (+ 0) into 0
13.394 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
13.395 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
13.395 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
13.395 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
13.396 * [backup-simplify]: Simplify (+ 0 0) into 0
13.396 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
13.396 * [backup-simplify]: Simplify (+ 0 0) into 0
13.396 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
13.397 * [backup-simplify]: Simplify (log (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (log (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))
13.397 * [backup-simplify]: Simplify (* 1/3 (log (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into (* 1/3 (log (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))
13.397 * [backup-simplify]: Simplify (exp (* 1/3 (log (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into (pow (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 1/3)
13.398 * [taylor]: Taking taylor expansion of (pow (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 1/3) in ky
13.398 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) in ky
13.398 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) in ky
13.398 * [taylor]: Taking taylor expansion of 1/3 in ky
13.398 * [backup-simplify]: Simplify 1/3 into 1/3
13.398 * [taylor]: Taking taylor expansion of (log (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in ky
13.398 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in ky
13.398 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in ky
13.398 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in ky
13.398 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
13.398 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
13.398 * [taylor]: Taking taylor expansion of -1 in ky
13.398 * [backup-simplify]: Simplify -1 into -1
13.398 * [taylor]: Taking taylor expansion of kx in ky
13.398 * [backup-simplify]: Simplify kx into kx
13.398 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
13.398 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
13.398 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
13.398 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
13.398 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
13.399 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
13.399 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in ky
13.399 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
13.399 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
13.399 * [taylor]: Taking taylor expansion of -1 in ky
13.399 * [backup-simplify]: Simplify -1 into -1
13.399 * [taylor]: Taking taylor expansion of ky in ky
13.399 * [backup-simplify]: Simplify 0 into 0
13.399 * [backup-simplify]: Simplify 1 into 1
13.399 * [backup-simplify]: Simplify (/ -1 1) into -1
13.399 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
13.400 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
13.400 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
13.400 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
13.401 * [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)))
13.401 * [backup-simplify]: Simplify (+ 0) into 0
13.402 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
13.402 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
13.403 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
13.403 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
13.404 * [backup-simplify]: Simplify (+ 0 0) into 0
13.404 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
13.404 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
13.404 * [backup-simplify]: Simplify (+ 0 0) into 0
13.405 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
13.405 * [backup-simplify]: Simplify (log (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (log (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))
13.406 * [backup-simplify]: Simplify (* 1/3 (log (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into (* 1/3 (log (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))
13.406 * [backup-simplify]: Simplify (exp (* 1/3 (log (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into (pow (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 1/3)
13.407 * [backup-simplify]: Simplify (pow (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 1/3) into (pow (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 1/3)
13.408 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 1)))) 1) into 0
13.409 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
13.410 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) (+ (* (/ (pow 0 1) 1)))) into 0
13.411 * [taylor]: Taking taylor expansion of 0 in ky
13.411 * [backup-simplify]: Simplify 0 into 0
13.411 * [backup-simplify]: Simplify 0 into 0
13.412 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 1)))) 1) into 0
13.413 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
13.418 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) (+ (* (/ (pow 0 1) 1)))) into 0
13.418 * [backup-simplify]: Simplify 0 into 0
13.419 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
13.420 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
13.421 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
13.421 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
13.422 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
13.422 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
13.423 * [backup-simplify]: Simplify (+ 0 0) into 0
13.424 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
13.424 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
13.425 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
13.425 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
13.426 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
13.426 * [backup-simplify]: Simplify (+ 0 0) into 0
13.427 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
13.427 * [backup-simplify]: Simplify (+ 0 0) into 0
13.429 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
13.432 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 1)))) 2) into 0
13.433 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) into 0
13.435 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
13.435 * [taylor]: Taking taylor expansion of 0 in ky
13.435 * [backup-simplify]: Simplify 0 into 0
13.435 * [backup-simplify]: Simplify 0 into 0
13.435 * [backup-simplify]: Simplify 0 into 0
13.436 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
13.437 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
13.437 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
13.438 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
13.439 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
13.439 * [backup-simplify]: Simplify (+ 0 0) into 0
13.439 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
13.440 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
13.440 * [backup-simplify]: Simplify (+ 0 0) into 0
13.442 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
13.444 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 1)))) 2) into 0
13.446 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) into 0
13.448 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
13.448 * [backup-simplify]: Simplify 0 into 0
13.449 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 kx)))))) into 0
13.450 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
13.451 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
13.451 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
13.452 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
13.453 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
13.454 * [backup-simplify]: Simplify (+ 0 0) into 0
13.455 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
13.455 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
13.456 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
13.457 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
13.458 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
13.459 * [backup-simplify]: Simplify (+ 0 0) into 0
13.460 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 ky)))))) into 0
13.460 * [backup-simplify]: Simplify (+ 0 0) into 0
13.462 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
13.466 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 1)))) 6) into 0
13.468 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))))) into 0
13.470 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
13.470 * [taylor]: Taking taylor expansion of 0 in ky
13.470 * [backup-simplify]: Simplify 0 into 0
13.470 * [backup-simplify]: Simplify 0 into 0
13.471 * [backup-simplify]: Simplify (pow (sqrt (+ (pow (sin (/ -1 (/ 1 (- kx)))) 2) (pow (sin (/ -1 (/ 1 (- ky)))) 2))) 1/3) into (pow (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) 1/3)
13.471 * * * [progress]: simplifying candidates
13.473 * [simplify]: Simplifying:
  (expm1 (cbrt (sin ky)))
  (log1p (cbrt (sin ky)))
  (log (cbrt (sin ky)))
  (exp (cbrt (sin ky)))
  (cbrt (* (cbrt (sin ky)) (cbrt (sin ky))))
  (cbrt (cbrt (sin ky)))
  (cbrt (sqrt (sin ky)))
  (cbrt (sqrt (sin ky)))
  (cbrt 1)
  (cbrt (sin ky))
  (* (cbrt (cbrt (sin ky))) (cbrt (cbrt (sin ky))))
  (cbrt (cbrt (sin ky)))
  (* (* (cbrt (sin ky)) (cbrt (sin ky))) (cbrt (sin ky)))
  (sqrt (cbrt (sin ky)))
  (sqrt (cbrt (sin ky)))
  (expm1 (cbrt (sin ky)))
  (log1p (cbrt (sin ky)))
  (log (cbrt (sin ky)))
  (exp (cbrt (sin ky)))
  (cbrt (* (cbrt (sin ky)) (cbrt (sin ky))))
  (cbrt (cbrt (sin ky)))
  (cbrt (sqrt (sin ky)))
  (cbrt (sqrt (sin ky)))
  (cbrt 1)
  (cbrt (sin ky))
  (* (cbrt (cbrt (sin ky))) (cbrt (cbrt (sin ky))))
  (cbrt (cbrt (sin ky)))
  (* (* (cbrt (sin ky)) (cbrt (sin ky))) (cbrt (sin ky)))
  (sqrt (cbrt (sin ky)))
  (sqrt (cbrt (sin ky)))
  (expm1 (cbrt (sin ky)))
  (log1p (cbrt (sin ky)))
  (log (cbrt (sin ky)))
  (exp (cbrt (sin ky)))
  (cbrt (* (cbrt (sin ky)) (cbrt (sin ky))))
  (cbrt (cbrt (sin ky)))
  (cbrt (sqrt (sin ky)))
  (cbrt (sqrt (sin ky)))
  (cbrt 1)
  (cbrt (sin ky))
  (* (cbrt (cbrt (sin ky))) (cbrt (cbrt (sin ky))))
  (cbrt (cbrt (sin ky)))
  (* (* (cbrt (sin ky)) (cbrt (sin ky))) (cbrt (sin ky)))
  (sqrt (cbrt (sin ky)))
  (sqrt (cbrt (sin ky)))
  (expm1 (cbrt (hypot (sin kx) (sin ky))))
  (log1p (cbrt (hypot (sin kx) (sin ky))))
  (log (cbrt (hypot (sin kx) (sin ky))))
  (exp (cbrt (hypot (sin kx) (sin ky))))
  (cbrt (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky)))))
  (cbrt (cbrt (hypot (sin kx) (sin ky))))
  (cbrt (sqrt (hypot (sin kx) (sin ky))))
  (cbrt (sqrt (hypot (sin kx) (sin ky))))
  (cbrt 1)
  (cbrt (hypot (sin kx) (sin ky)))
  (* (cbrt (cbrt (hypot (sin kx) (sin ky)))) (cbrt (cbrt (hypot (sin kx) (sin ky)))))
  (cbrt (cbrt (hypot (sin kx) (sin ky))))
  (* (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky)))) (cbrt (hypot (sin kx) (sin ky))))
  (sqrt (cbrt (hypot (sin kx) (sin ky))))
  (sqrt (cbrt (hypot (sin kx) (sin ky))))
  (- (pow ky 1/3) (+ (* 1/3240 (pow (pow ky 13) 1/3)) (* 1/18 (pow (pow ky 7) 1/3))))
  (pow (sin ky) 1/3)
  (pow (sin ky) 1/3)
  (- (pow ky 1/3) (+ (* 1/3240 (pow (pow ky 13) 1/3)) (* 1/18 (pow (pow ky 7) 1/3))))
  (pow (sin ky) 1/3)
  (pow (sin ky) 1/3)
  (- (pow ky 1/3) (+ (* 1/3240 (pow (pow ky 13) 1/3)) (* 1/18 (pow (pow ky 7) 1/3))))
  (pow (sin ky) 1/3)
  (pow (sin ky) 1/3)
  (- (+ (* 1/6 (* (pow kx 2) (pow (/ 1 (pow ky 5)) 1/3))) (pow ky 1/3)) (* 1/18 (pow (pow ky 7) 1/3)))
  (pow (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) 1/3)
  (pow (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) 1/3)
13.474 * * [simplify]: Extracting # 0 : cost  27  inf +  0
13.474 * * [simplify]: Extracting # 1 : cost  40  inf +  0
13.474 * * [simplify]: Extracting # 2 : cost  44  inf +  83
13.474 * * [simplify]: Extracting # 3 : cost  48  inf +  358
13.475 * * [simplify]: Extracting # 4 : cost  37  inf +  2985
13.475 * * [simplify]: Extracting # 5 : cost  30  inf +  4700
13.476 * * [simplify]: Extracting # 6 : cost  19  inf +  8206
13.477 * * [simplify]: Extracting # 7 : cost  10  inf +  12734
13.479 * * [simplify]: Extracting # 8 : cost  7  inf +  14785
13.480 * * [simplify]: Extracting # 9 : cost  6  inf +  14997
13.482 * * [simplify]: Extracting # 10 : cost  5  inf +  15250
13.483 * * [simplify]: Extracting # 11 : cost  4  inf +  15714
13.485 * * [simplify]: Extracting # 12 : cost  3  inf +  16430
13.486 * * [simplify]: Extracting # 13 : cost  2  inf +  17187
13.488 * * [simplify]: Extracting # 14 : cost  0  inf +  19703
13.491 * * [simplify]: iteration  0 :  64  enodes  (cost  22061 )
13.512 * * [simplify]: Extracting # 0 : cost  0  inf +  19703
13.514 * * [simplify]: Extracting # 1 : cost  18  inf +  17846
13.517 * * [simplify]: Extracting # 2 : cost  6  inf +  22305
13.520 * * [simplify]: Extracting # 3 : cost  3  inf +  20537
13.524 * * [simplify]: Extracting # 4 : cost  0  inf +  20491
13.526 * * [simplify]: iteration  1 :  130  enodes  (cost  18176 )
13.580 * * [simplify]: Extracting # 0 : cost  0  inf +  20491
13.582 * * [simplify]: Extracting # 1 : cost  65  inf +  18780
13.584 * * [simplify]: Extracting # 2 : cost  16  inf +  38071
13.588 * * [simplify]: Extracting # 3 : cost  7  inf +  39216
13.594 * * [simplify]: Extracting # 4 : cost  0  inf +  41399
13.600 * * [simplify]: iteration  2 :  375  enodes  (cost  17849 )
13.817 * * [simplify]: Extracting # 0 : cost  0  inf +  41399
13.828 * * [simplify]: Extracting # 1 : cost  201  inf +  31743
13.844 * * [simplify]: Extracting # 2 : cost  21  inf +  110735
13.863 * * [simplify]: Extracting # 3 : cost  9  inf +  112511
13.882 * * [simplify]: Extracting # 4 : cost  0  inf +  115725
13.901 * * [simplify]: iteration  3 :  1280  enodes  (cost  17145 )
14.277 * * [simplify]: Extracting # 0 : cost  0  inf +  115725
14.307 * * [simplify]: Extracting # 1 : cost  1428  inf +  91820
14.367 * * [simplify]: Extracting # 2 : cost  381  inf +  637539
14.473 * * [simplify]: Extracting # 3 : cost  90  inf +  677226
14.562 * * [simplify]: Extracting # 4 : cost  0  inf +  707714
14.646 * * [simplify]: iteration done:  5000  enodes  (cost  17070 )
14.647 * [simplify]: Simplified to:
  (expm1 (cbrt (sin ky)))
  (log1p (cbrt (sin ky)))
  (* 1/3 (log (sin ky)))
  (exp (cbrt (sin ky)))
  (cbrt (* (cbrt (sin ky)) (cbrt (sin ky))))
  (cbrt (cbrt (sin ky)))
  (cbrt (sqrt (sin ky)))
  (cbrt (sqrt (sin ky)))
  1
  (cbrt (sin ky))
  (* (cbrt (cbrt (sin ky))) (cbrt (cbrt (sin ky))))
  (cbrt (cbrt (sin ky)))
  (sin ky)
  (sqrt (cbrt (sin ky)))
  (sqrt (cbrt (sin ky)))
  (expm1 (cbrt (sin ky)))
  (log1p (cbrt (sin ky)))
  (* 1/3 (log (sin ky)))
  (exp (cbrt (sin ky)))
  (cbrt (* (cbrt (sin ky)) (cbrt (sin ky))))
  (cbrt (cbrt (sin ky)))
  (cbrt (sqrt (sin ky)))
  (cbrt (sqrt (sin ky)))
  1
  (cbrt (sin ky))
  (* (cbrt (cbrt (sin ky))) (cbrt (cbrt (sin ky))))
  (cbrt (cbrt (sin ky)))
  (sin ky)
  (sqrt (cbrt (sin ky)))
  (sqrt (cbrt (sin ky)))
  (expm1 (cbrt (sin ky)))
  (log1p (cbrt (sin ky)))
  (* 1/3 (log (sin ky)))
  (exp (cbrt (sin ky)))
  (cbrt (* (cbrt (sin ky)) (cbrt (sin ky))))
  (cbrt (cbrt (sin ky)))
  (cbrt (sqrt (sin ky)))
  (cbrt (sqrt (sin ky)))
  1
  (cbrt (sin ky))
  (* (cbrt (cbrt (sin ky))) (cbrt (cbrt (sin ky))))
  (cbrt (cbrt (sin ky)))
  (sin ky)
  (sqrt (cbrt (sin ky)))
  (sqrt (cbrt (sin ky)))
  (expm1 (cbrt (hypot (sin kx) (sin ky))))
  (log1p (cbrt (hypot (sin kx) (sin ky))))
  (* 1/3 (log (hypot (sin kx) (sin ky))))
  (exp (cbrt (hypot (sin kx) (sin ky))))
  (cbrt (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky)))))
  (cbrt (cbrt (hypot (sin kx) (sin ky))))
  (cbrt (sqrt (hypot (sin kx) (sin ky))))
  (cbrt (sqrt (hypot (sin kx) (sin ky))))
  1
  (cbrt (hypot (sin kx) (sin ky)))
  (* (cbrt (cbrt (hypot (sin kx) (sin ky)))) (cbrt (cbrt (hypot (sin kx) (sin ky)))))
  (cbrt (cbrt (hypot (sin kx) (sin ky))))
  (hypot (sin kx) (sin ky))
  (sqrt (cbrt (hypot (sin kx) (sin ky))))
  (sqrt (cbrt (hypot (sin kx) (sin ky))))
  (fma (cbrt (pow ky 7)) -1/18 (fma -1/3240 (cbrt (pow ky 13)) (cbrt ky)))
  (cbrt (sin ky))
  (cbrt (sin ky))
  (fma (cbrt (pow ky 7)) -1/18 (fma -1/3240 (cbrt (pow ky 13)) (cbrt ky)))
  (cbrt (sin ky))
  (cbrt (sin ky))
  (fma (cbrt (pow ky 7)) -1/18 (fma -1/3240 (cbrt (pow ky 13)) (cbrt ky)))
  (cbrt (sin ky))
  (cbrt (sin ky))
  (fma (cbrt (pow ky 7)) -1/18 (fma 1/6 (* (* kx kx) (cbrt (/ 1 (pow ky 5)))) (cbrt ky)))
  (cbrt (hypot (sin kx) (sin ky)))
  (cbrt (hypot (sin kx) (sin ky)))
14.653 * * * [progress]: adding candidates to table
15.204 * [progress]: [Phase 3 of 3] Extracting.
15.204 * * [regime]: Finding splitpoints for: (#<alt (λ (kx ky th) (* (/ (* (* (* (cbrt (cbrt (sin ky))) (cbrt (cbrt (sin ky)))) (cbrt (cbrt (sin ky)))) (cbrt (sin ky))) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) (* (/ (cbrt (sin ky)) (cbrt (hypot (sin kx) (sin ky)))) (sin th))))> #<alt (λ (kx ky th) (* (* (/ (sin ky) (hypot (sin kx) (sin ky))) (* (cbrt (sin th)) (cbrt (sin th)))) (cbrt (sin th))))> #<alt (λ (kx ky th) (* (log (exp (/ (sin ky) (hypot (sin kx) (sin ky))))) (sin th)))> #<alt (λ (kx ky th) (exp (log (* (/ (sin ky) (hypot (sin kx) (sin ky))) (sin th)))))> #<alt (λ (kx ky th) (* (cbrt (* (* (/ (sin ky) (hypot (sin kx) (sin ky))) (/ (sin ky) (hypot (sin kx) (sin ky)))) (/ (sin ky) (hypot (sin kx) (sin ky))))) (sin th)))> #<alt (λ (kx ky th) (* (exp (log (/ (sin ky) (hypot (sin kx) (sin ky))))) (sin th)))> #<alt (λ (kx ky th) (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky)))))> #<alt (λ (kx ky th) (* (sin ky) (exp (log (/ (sin th) (hypot (sin kx) (sin ky)))))))> #<alt (λ (kx ky th) (* (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) (* (/ (* (* (cbrt (cbrt (sin ky))) (cbrt (cbrt (sin ky)))) (cbrt (cbrt (sin ky)))) (cbrt (hypot (sin kx) (sin ky)))) (sin th))))> #<alt (λ (kx ky th) (* (* (* (/ (cbrt (sin th)) (cbrt (hypot (sin kx) (sin ky)))) (/ (cbrt (sin th)) (cbrt (hypot (sin kx) (sin ky))))) (sin ky)) (/ (cbrt (sin th)) (cbrt (hypot (sin kx) (sin ky))))))> #<alt (λ (kx ky th) (* (* (sin ky) (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sin th)) (sqrt (hypot (sin kx) (sin ky))))))> #<alt (λ (kx ky th) (* (/ (sin ky) (sqrt (+ (log (exp (pow (sin kx) 2.0))) (pow (sin ky) 2.0)))) (sin th)))> #<alt (λ (kx ky th) (* (/ (/ (sin ky) (fabs (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (sqrt (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (sin th)))> #<alt (λ (kx ky th) (* (/ (sin ky) (sqrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0)) (pow (sin ky) 2.0)))) (sin th)))> #<alt (λ (kx ky th) (* (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) (* (/ (cbrt (sin ky)) (* (* (cbrt (cbrt (hypot (sin kx) (sin ky)))) (cbrt (cbrt (hypot (sin kx) (sin ky))))) (cbrt (cbrt (hypot (sin kx) (sin ky)))))) (sin th))))> #<alt (λ (kx ky th) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (* (pow (* (cbrt (sin ky)) (cbrt (sin ky))) 2.0) (pow (cbrt (sin ky)) 2.0))))) (sin th)))> #<alt (λ (kx ky th) (log (exp (* (/ (sin ky) (hypot (sin kx) (sin ky))) (sin th)))))> #<alt (λ (kx ky th) (* (* (cbrt (* (/ (sin ky) (hypot (sin kx) (sin ky))) (sin th))) (cbrt (* (/ (sin ky) (hypot (sin kx) (sin ky))) (sin th)))) (cbrt (* (/ (sin ky) (hypot (sin kx) (sin ky))) (sin th)))))> #<alt (λ (kx ky th) (* (* (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))))))> #<alt (λ (kx ky th) (* (/ (* (cbrt (sin ky)) (exp (log (cbrt (sin ky))))) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) (* (/ (cbrt (sin ky)) (cbrt (hypot (sin kx) (sin ky)))) (sin th))))> #<alt (λ (kx ky th) (* (* (sin ky) (sin th)) (/ 1 (hypot (sin kx) (sin ky)))))>)
15.218 * * * [regime-changes]: Trying 7 branch expressions: ((sin th) (sin kx) (pow (sin kx) 2.0) (sin ky) th ky kx)
15.218 * * * * [regimes]: Trying to branch on (sin th) from (#<alt (λ (kx ky th) (* (/ (* (* (* (cbrt (cbrt (sin ky))) (cbrt (cbrt (sin ky)))) (cbrt (cbrt (sin ky)))) (cbrt (sin ky))) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) (* (/ (cbrt (sin ky)) (cbrt (hypot (sin kx) (sin ky)))) (sin th))))> #<alt (λ (kx ky th) (* (* (/ (sin ky) (hypot (sin kx) (sin ky))) (* (cbrt (sin th)) (cbrt (sin th)))) (cbrt (sin th))))> #<alt (λ (kx ky th) (* (log (exp (/ (sin ky) (hypot (sin kx) (sin ky))))) (sin th)))> #<alt (λ (kx ky th) (exp (log (* (/ (sin ky) (hypot (sin kx) (sin ky))) (sin th)))))> #<alt (λ (kx ky th) (* (cbrt (* (* (/ (sin ky) (hypot (sin kx) (sin ky))) (/ (sin ky) (hypot (sin kx) (sin ky)))) (/ (sin ky) (hypot (sin kx) (sin ky))))) (sin th)))> #<alt (λ (kx ky th) (* (exp (log (/ (sin ky) (hypot (sin kx) (sin ky))))) (sin th)))> #<alt (λ (kx ky th) (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky)))))> #<alt (λ (kx ky th) (* (sin ky) (exp (log (/ (sin th) (hypot (sin kx) (sin ky)))))))> #<alt (λ (kx ky th) (* (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) (* (/ (* (* (cbrt (cbrt (sin ky))) (cbrt (cbrt (sin ky)))) (cbrt (cbrt (sin ky)))) (cbrt (hypot (sin kx) (sin ky)))) (sin th))))> #<alt (λ (kx ky th) (* (* (* (/ (cbrt (sin th)) (cbrt (hypot (sin kx) (sin ky)))) (/ (cbrt (sin th)) (cbrt (hypot (sin kx) (sin ky))))) (sin ky)) (/ (cbrt (sin th)) (cbrt (hypot (sin kx) (sin ky))))))> #<alt (λ (kx ky th) (* (* (sin ky) (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sin th)) (sqrt (hypot (sin kx) (sin ky))))))> #<alt (λ (kx ky th) (* (/ (sin ky) (sqrt (+ (log (exp (pow (sin kx) 2.0))) (pow (sin ky) 2.0)))) (sin th)))> #<alt (λ (kx ky th) (* (/ (/ (sin ky) (fabs (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (sqrt (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (sin th)))> #<alt (λ (kx ky th) (* (/ (sin ky) (sqrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0)) (pow (sin ky) 2.0)))) (sin th)))> #<alt (λ (kx ky th) (* (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) (* (/ (cbrt (sin ky)) (* (* (cbrt (cbrt (hypot (sin kx) (sin ky)))) (cbrt (cbrt (hypot (sin kx) (sin ky))))) (cbrt (cbrt (hypot (sin kx) (sin ky)))))) (sin th))))> #<alt (λ (kx ky th) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (* (pow (* (cbrt (sin ky)) (cbrt (sin ky))) 2.0) (pow (cbrt (sin ky)) 2.0))))) (sin th)))> #<alt (λ (kx ky th) (log (exp (* (/ (sin ky) (hypot (sin kx) (sin ky))) (sin th)))))> #<alt (λ (kx ky th) (* (* (cbrt (* (/ (sin ky) (hypot (sin kx) (sin ky))) (sin th))) (cbrt (* (/ (sin ky) (hypot (sin kx) (sin ky))) (sin th)))) (cbrt (* (/ (sin ky) (hypot (sin kx) (sin ky))) (sin th)))))> #<alt (λ (kx ky th) (* (* (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))))))> #<alt (λ (kx ky th) (* (/ (* (cbrt (sin ky)) (exp (log (cbrt (sin ky))))) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) (* (/ (cbrt (sin ky)) (cbrt (hypot (sin kx) (sin ky)))) (sin th))))> #<alt (λ (kx ky th) (* (* (sin ky) (sin th)) (/ 1 (hypot (sin kx) (sin ky)))))>)
15.459 * * * * [regimes]: Trying to branch on (sin kx) from (#<alt (λ (kx ky th) (* (/ (* (* (* (cbrt (cbrt (sin ky))) (cbrt (cbrt (sin ky)))) (cbrt (cbrt (sin ky)))) (cbrt (sin ky))) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) (* (/ (cbrt (sin ky)) (cbrt (hypot (sin kx) (sin ky)))) (sin th))))> #<alt (λ (kx ky th) (* (* (/ (sin ky) (hypot (sin kx) (sin ky))) (* (cbrt (sin th)) (cbrt (sin th)))) (cbrt (sin th))))> #<alt (λ (kx ky th) (* (log (exp (/ (sin ky) (hypot (sin kx) (sin ky))))) (sin th)))> #<alt (λ (kx ky th) (exp (log (* (/ (sin ky) (hypot (sin kx) (sin ky))) (sin th)))))> #<alt (λ (kx ky th) (* (cbrt (* (* (/ (sin ky) (hypot (sin kx) (sin ky))) (/ (sin ky) (hypot (sin kx) (sin ky)))) (/ (sin ky) (hypot (sin kx) (sin ky))))) (sin th)))> #<alt (λ (kx ky th) (* (exp (log (/ (sin ky) (hypot (sin kx) (sin ky))))) (sin th)))> #<alt (λ (kx ky th) (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky)))))> #<alt (λ (kx ky th) (* (sin ky) (exp (log (/ (sin th) (hypot (sin kx) (sin ky)))))))> #<alt (λ (kx ky th) (* (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) (* (/ (* (* (cbrt (cbrt (sin ky))) (cbrt (cbrt (sin ky)))) (cbrt (cbrt (sin ky)))) (cbrt (hypot (sin kx) (sin ky)))) (sin th))))> #<alt (λ (kx ky th) (* (* (* (/ (cbrt (sin th)) (cbrt (hypot (sin kx) (sin ky)))) (/ (cbrt (sin th)) (cbrt (hypot (sin kx) (sin ky))))) (sin ky)) (/ (cbrt (sin th)) (cbrt (hypot (sin kx) (sin ky))))))> #<alt (λ (kx ky th) (* (* (sin ky) (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sin th)) (sqrt (hypot (sin kx) (sin ky))))))> #<alt (λ (kx ky th) (* (/ (sin ky) (sqrt (+ (log (exp (pow (sin kx) 2.0))) (pow (sin ky) 2.0)))) (sin th)))> #<alt (λ (kx ky th) (* (/ (/ (sin ky) (fabs (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (sqrt (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (sin th)))> #<alt (λ (kx ky th) (* (/ (sin ky) (sqrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0)) (pow (sin ky) 2.0)))) (sin th)))> #<alt (λ (kx ky th) (* (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) (* (/ (cbrt (sin ky)) (* (* (cbrt (cbrt (hypot (sin kx) (sin ky)))) (cbrt (cbrt (hypot (sin kx) (sin ky))))) (cbrt (cbrt (hypot (sin kx) (sin ky)))))) (sin th))))> #<alt (λ (kx ky th) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (* (pow (* (cbrt (sin ky)) (cbrt (sin ky))) 2.0) (pow (cbrt (sin ky)) 2.0))))) (sin th)))> #<alt (λ (kx ky th) (log (exp (* (/ (sin ky) (hypot (sin kx) (sin ky))) (sin th)))))> #<alt (λ (kx ky th) (* (* (cbrt (* (/ (sin ky) (hypot (sin kx) (sin ky))) (sin th))) (cbrt (* (/ (sin ky) (hypot (sin kx) (sin ky))) (sin th)))) (cbrt (* (/ (sin ky) (hypot (sin kx) (sin ky))) (sin th)))))> #<alt (λ (kx ky th) (* (* (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))))))> #<alt (λ (kx ky th) (* (/ (* (cbrt (sin ky)) (exp (log (cbrt (sin ky))))) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) (* (/ (cbrt (sin ky)) (cbrt (hypot (sin kx) (sin ky)))) (sin th))))> #<alt (λ (kx ky th) (* (* (sin ky) (sin th)) (/ 1 (hypot (sin kx) (sin ky)))))>)
15.709 * * * * [regimes]: Trying to branch on (pow (sin kx) 2.0) from (#<alt (λ (kx ky th) (* (/ (* (* (* (cbrt (cbrt (sin ky))) (cbrt (cbrt (sin ky)))) (cbrt (cbrt (sin ky)))) (cbrt (sin ky))) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) (* (/ (cbrt (sin ky)) (cbrt (hypot (sin kx) (sin ky)))) (sin th))))> #<alt (λ (kx ky th) (* (* (/ (sin ky) (hypot (sin kx) (sin ky))) (* (cbrt (sin th)) (cbrt (sin th)))) (cbrt (sin th))))> #<alt (λ (kx ky th) (* (log (exp (/ (sin ky) (hypot (sin kx) (sin ky))))) (sin th)))> #<alt (λ (kx ky th) (exp (log (* (/ (sin ky) (hypot (sin kx) (sin ky))) (sin th)))))> #<alt (λ (kx ky th) (* (cbrt (* (* (/ (sin ky) (hypot (sin kx) (sin ky))) (/ (sin ky) (hypot (sin kx) (sin ky)))) (/ (sin ky) (hypot (sin kx) (sin ky))))) (sin th)))> #<alt (λ (kx ky th) (* (exp (log (/ (sin ky) (hypot (sin kx) (sin ky))))) (sin th)))> #<alt (λ (kx ky th) (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky)))))> #<alt (λ (kx ky th) (* (sin ky) (exp (log (/ (sin th) (hypot (sin kx) (sin ky)))))))> #<alt (λ (kx ky th) (* (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) (* (/ (* (* (cbrt (cbrt (sin ky))) (cbrt (cbrt (sin ky)))) (cbrt (cbrt (sin ky)))) (cbrt (hypot (sin kx) (sin ky)))) (sin th))))> #<alt (λ (kx ky th) (* (* (* (/ (cbrt (sin th)) (cbrt (hypot (sin kx) (sin ky)))) (/ (cbrt (sin th)) (cbrt (hypot (sin kx) (sin ky))))) (sin ky)) (/ (cbrt (sin th)) (cbrt (hypot (sin kx) (sin ky))))))> #<alt (λ (kx ky th) (* (* (sin ky) (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sin th)) (sqrt (hypot (sin kx) (sin ky))))))> #<alt (λ (kx ky th) (* (/ (sin ky) (sqrt (+ (log (exp (pow (sin kx) 2.0))) (pow (sin ky) 2.0)))) (sin th)))> #<alt (λ (kx ky th) (* (/ (/ (sin ky) (fabs (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (sqrt (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (sin th)))> #<alt (λ (kx ky th) (* (/ (sin ky) (sqrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0)) (pow (sin ky) 2.0)))) (sin th)))> #<alt (λ (kx ky th) (* (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) (* (/ (cbrt (sin ky)) (* (* (cbrt (cbrt (hypot (sin kx) (sin ky)))) (cbrt (cbrt (hypot (sin kx) (sin ky))))) (cbrt (cbrt (hypot (sin kx) (sin ky)))))) (sin th))))> #<alt (λ (kx ky th) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (* (pow (* (cbrt (sin ky)) (cbrt (sin ky))) 2.0) (pow (cbrt (sin ky)) 2.0))))) (sin th)))> #<alt (λ (kx ky th) (log (exp (* (/ (sin ky) (hypot (sin kx) (sin ky))) (sin th)))))> #<alt (λ (kx ky th) (* (* (cbrt (* (/ (sin ky) (hypot (sin kx) (sin ky))) (sin th))) (cbrt (* (/ (sin ky) (hypot (sin kx) (sin ky))) (sin th)))) (cbrt (* (/ (sin ky) (hypot (sin kx) (sin ky))) (sin th)))))> #<alt (λ (kx ky th) (* (* (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))))))> #<alt (λ (kx ky th) (* (/ (* (cbrt (sin ky)) (exp (log (cbrt (sin ky))))) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) (* (/ (cbrt (sin ky)) (cbrt (hypot (sin kx) (sin ky)))) (sin th))))> #<alt (λ (kx ky th) (* (* (sin ky) (sin th)) (/ 1 (hypot (sin kx) (sin ky)))))>)
15.934 * * * * [regimes]: Trying to branch on (pow (sin kx) 2.0) from (#<alt (λ (kx ky th) (* (/ (sin ky) (sqrt (+ (log (exp (pow (sin kx) 2.0))) (pow (sin ky) 2.0)))) (sin th)))> #<alt (λ (kx ky th) (* (/ (/ (sin ky) (fabs (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (sqrt (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (sin th)))> #<alt (λ (kx ky th) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (* (pow (* (cbrt (sin ky)) (cbrt (sin ky))) 2.0) (pow (cbrt (sin ky)) 2.0))))) (sin th)))>)
15.987 * * * * [regimes]: Trying to branch on (sin ky) from (#<alt (λ (kx ky th) (* (/ (* (* (* (cbrt (cbrt (sin ky))) (cbrt (cbrt (sin ky)))) (cbrt (cbrt (sin ky)))) (cbrt (sin ky))) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) (* (/ (cbrt (sin ky)) (cbrt (hypot (sin kx) (sin ky)))) (sin th))))> #<alt (λ (kx ky th) (* (* (/ (sin ky) (hypot (sin kx) (sin ky))) (* (cbrt (sin th)) (cbrt (sin th)))) (cbrt (sin th))))> #<alt (λ (kx ky th) (* (log (exp (/ (sin ky) (hypot (sin kx) (sin ky))))) (sin th)))> #<alt (λ (kx ky th) (exp (log (* (/ (sin ky) (hypot (sin kx) (sin ky))) (sin th)))))> #<alt (λ (kx ky th) (* (cbrt (* (* (/ (sin ky) (hypot (sin kx) (sin ky))) (/ (sin ky) (hypot (sin kx) (sin ky)))) (/ (sin ky) (hypot (sin kx) (sin ky))))) (sin th)))> #<alt (λ (kx ky th) (* (exp (log (/ (sin ky) (hypot (sin kx) (sin ky))))) (sin th)))> #<alt (λ (kx ky th) (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky)))))> #<alt (λ (kx ky th) (* (sin ky) (exp (log (/ (sin th) (hypot (sin kx) (sin ky)))))))> #<alt (λ (kx ky th) (* (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) (* (/ (* (* (cbrt (cbrt (sin ky))) (cbrt (cbrt (sin ky)))) (cbrt (cbrt (sin ky)))) (cbrt (hypot (sin kx) (sin ky)))) (sin th))))> #<alt (λ (kx ky th) (* (* (* (/ (cbrt (sin th)) (cbrt (hypot (sin kx) (sin ky)))) (/ (cbrt (sin th)) (cbrt (hypot (sin kx) (sin ky))))) (sin ky)) (/ (cbrt (sin th)) (cbrt (hypot (sin kx) (sin ky))))))> #<alt (λ (kx ky th) (* (* (sin ky) (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sin th)) (sqrt (hypot (sin kx) (sin ky))))))> #<alt (λ (kx ky th) (* (/ (sin ky) (sqrt (+ (log (exp (pow (sin kx) 2.0))) (pow (sin ky) 2.0)))) (sin th)))> #<alt (λ (kx ky th) (* (/ (/ (sin ky) (fabs (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (sqrt (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (sin th)))> #<alt (λ (kx ky th) (* (/ (sin ky) (sqrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0)) (pow (sin ky) 2.0)))) (sin th)))> #<alt (λ (kx ky th) (* (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) (* (/ (cbrt (sin ky)) (* (* (cbrt (cbrt (hypot (sin kx) (sin ky)))) (cbrt (cbrt (hypot (sin kx) (sin ky))))) (cbrt (cbrt (hypot (sin kx) (sin ky)))))) (sin th))))> #<alt (λ (kx ky th) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (* (pow (* (cbrt (sin ky)) (cbrt (sin ky))) 2.0) (pow (cbrt (sin ky)) 2.0))))) (sin th)))> #<alt (λ (kx ky th) (log (exp (* (/ (sin ky) (hypot (sin kx) (sin ky))) (sin th)))))> #<alt (λ (kx ky th) (* (* (cbrt (* (/ (sin ky) (hypot (sin kx) (sin ky))) (sin th))) (cbrt (* (/ (sin ky) (hypot (sin kx) (sin ky))) (sin th)))) (cbrt (* (/ (sin ky) (hypot (sin kx) (sin ky))) (sin th)))))> #<alt (λ (kx ky th) (* (* (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))))))> #<alt (λ (kx ky th) (* (/ (* (cbrt (sin ky)) (exp (log (cbrt (sin ky))))) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) (* (/ (cbrt (sin ky)) (cbrt (hypot (sin kx) (sin ky)))) (sin th))))> #<alt (λ (kx ky th) (* (* (sin ky) (sin th)) (/ 1 (hypot (sin kx) (sin ky)))))>)
16.211 * * * * [regimes]: Trying to branch on th from (#<alt (λ (kx ky th) (* (/ (* (* (* (cbrt (cbrt (sin ky))) (cbrt (cbrt (sin ky)))) (cbrt (cbrt (sin ky)))) (cbrt (sin ky))) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) (* (/ (cbrt (sin ky)) (cbrt (hypot (sin kx) (sin ky)))) (sin th))))> #<alt (λ (kx ky th) (* (* (/ (sin ky) (hypot (sin kx) (sin ky))) (* (cbrt (sin th)) (cbrt (sin th)))) (cbrt (sin th))))> #<alt (λ (kx ky th) (* (log (exp (/ (sin ky) (hypot (sin kx) (sin ky))))) (sin th)))> #<alt (λ (kx ky th) (exp (log (* (/ (sin ky) (hypot (sin kx) (sin ky))) (sin th)))))> #<alt (λ (kx ky th) (* (cbrt (* (* (/ (sin ky) (hypot (sin kx) (sin ky))) (/ (sin ky) (hypot (sin kx) (sin ky)))) (/ (sin ky) (hypot (sin kx) (sin ky))))) (sin th)))> #<alt (λ (kx ky th) (* (exp (log (/ (sin ky) (hypot (sin kx) (sin ky))))) (sin th)))> #<alt (λ (kx ky th) (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky)))))> #<alt (λ (kx ky th) (* (sin ky) (exp (log (/ (sin th) (hypot (sin kx) (sin ky)))))))> #<alt (λ (kx ky th) (* (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) (* (/ (* (* (cbrt (cbrt (sin ky))) (cbrt (cbrt (sin ky)))) (cbrt (cbrt (sin ky)))) (cbrt (hypot (sin kx) (sin ky)))) (sin th))))> #<alt (λ (kx ky th) (* (* (* (/ (cbrt (sin th)) (cbrt (hypot (sin kx) (sin ky)))) (/ (cbrt (sin th)) (cbrt (hypot (sin kx) (sin ky))))) (sin ky)) (/ (cbrt (sin th)) (cbrt (hypot (sin kx) (sin ky))))))> #<alt (λ (kx ky th) (* (* (sin ky) (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sin th)) (sqrt (hypot (sin kx) (sin ky))))))> #<alt (λ (kx ky th) (* (/ (sin ky) (sqrt (+ (log (exp (pow (sin kx) 2.0))) (pow (sin ky) 2.0)))) (sin th)))> #<alt (λ (kx ky th) (* (/ (/ (sin ky) (fabs (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (sqrt (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (sin th)))> #<alt (λ (kx ky th) (* (/ (sin ky) (sqrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0)) (pow (sin ky) 2.0)))) (sin th)))> #<alt (λ (kx ky th) (* (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) (* (/ (cbrt (sin ky)) (* (* (cbrt (cbrt (hypot (sin kx) (sin ky)))) (cbrt (cbrt (hypot (sin kx) (sin ky))))) (cbrt (cbrt (hypot (sin kx) (sin ky)))))) (sin th))))> #<alt (λ (kx ky th) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (* (pow (* (cbrt (sin ky)) (cbrt (sin ky))) 2.0) (pow (cbrt (sin ky)) 2.0))))) (sin th)))> #<alt (λ (kx ky th) (log (exp (* (/ (sin ky) (hypot (sin kx) (sin ky))) (sin th)))))> #<alt (λ (kx ky th) (* (* (cbrt (* (/ (sin ky) (hypot (sin kx) (sin ky))) (sin th))) (cbrt (* (/ (sin ky) (hypot (sin kx) (sin ky))) (sin th)))) (cbrt (* (/ (sin ky) (hypot (sin kx) (sin ky))) (sin th)))))> #<alt (λ (kx ky th) (* (* (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))))))> #<alt (λ (kx ky th) (* (/ (* (cbrt (sin ky)) (exp (log (cbrt (sin ky))))) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) (* (/ (cbrt (sin ky)) (cbrt (hypot (sin kx) (sin ky)))) (sin th))))> #<alt (λ (kx ky th) (* (* (sin ky) (sin th)) (/ 1 (hypot (sin kx) (sin ky)))))>)
16.401 * * * * [regimes]: Trying to branch on ky from (#<alt (λ (kx ky th) (* (/ (* (* (* (cbrt (cbrt (sin ky))) (cbrt (cbrt (sin ky)))) (cbrt (cbrt (sin ky)))) (cbrt (sin ky))) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) (* (/ (cbrt (sin ky)) (cbrt (hypot (sin kx) (sin ky)))) (sin th))))> #<alt (λ (kx ky th) (* (* (/ (sin ky) (hypot (sin kx) (sin ky))) (* (cbrt (sin th)) (cbrt (sin th)))) (cbrt (sin th))))> #<alt (λ (kx ky th) (* (log (exp (/ (sin ky) (hypot (sin kx) (sin ky))))) (sin th)))> #<alt (λ (kx ky th) (exp (log (* (/ (sin ky) (hypot (sin kx) (sin ky))) (sin th)))))> #<alt (λ (kx ky th) (* (cbrt (* (* (/ (sin ky) (hypot (sin kx) (sin ky))) (/ (sin ky) (hypot (sin kx) (sin ky)))) (/ (sin ky) (hypot (sin kx) (sin ky))))) (sin th)))> #<alt (λ (kx ky th) (* (exp (log (/ (sin ky) (hypot (sin kx) (sin ky))))) (sin th)))> #<alt (λ (kx ky th) (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky)))))> #<alt (λ (kx ky th) (* (sin ky) (exp (log (/ (sin th) (hypot (sin kx) (sin ky)))))))> #<alt (λ (kx ky th) (* (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) (* (/ (* (* (cbrt (cbrt (sin ky))) (cbrt (cbrt (sin ky)))) (cbrt (cbrt (sin ky)))) (cbrt (hypot (sin kx) (sin ky)))) (sin th))))> #<alt (λ (kx ky th) (* (* (* (/ (cbrt (sin th)) (cbrt (hypot (sin kx) (sin ky)))) (/ (cbrt (sin th)) (cbrt (hypot (sin kx) (sin ky))))) (sin ky)) (/ (cbrt (sin th)) (cbrt (hypot (sin kx) (sin ky))))))> #<alt (λ (kx ky th) (* (* (sin ky) (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sin th)) (sqrt (hypot (sin kx) (sin ky))))))> #<alt (λ (kx ky th) (* (/ (sin ky) (sqrt (+ (log (exp (pow (sin kx) 2.0))) (pow (sin ky) 2.0)))) (sin th)))> #<alt (λ (kx ky th) (* (/ (/ (sin ky) (fabs (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (sqrt (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (sin th)))> #<alt (λ (kx ky th) (* (/ (sin ky) (sqrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0)) (pow (sin ky) 2.0)))) (sin th)))> #<alt (λ (kx ky th) (* (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) (* (/ (cbrt (sin ky)) (* (* (cbrt (cbrt (hypot (sin kx) (sin ky)))) (cbrt (cbrt (hypot (sin kx) (sin ky))))) (cbrt (cbrt (hypot (sin kx) (sin ky)))))) (sin th))))> #<alt (λ (kx ky th) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (* (pow (* (cbrt (sin ky)) (cbrt (sin ky))) 2.0) (pow (cbrt (sin ky)) 2.0))))) (sin th)))> #<alt (λ (kx ky th) (log (exp (* (/ (sin ky) (hypot (sin kx) (sin ky))) (sin th)))))> #<alt (λ (kx ky th) (* (* (cbrt (* (/ (sin ky) (hypot (sin kx) (sin ky))) (sin th))) (cbrt (* (/ (sin ky) (hypot (sin kx) (sin ky))) (sin th)))) (cbrt (* (/ (sin ky) (hypot (sin kx) (sin ky))) (sin th)))))> #<alt (λ (kx ky th) (* (* (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))))))> #<alt (λ (kx ky th) (* (/ (* (cbrt (sin ky)) (exp (log (cbrt (sin ky))))) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) (* (/ (cbrt (sin ky)) (cbrt (hypot (sin kx) (sin ky)))) (sin th))))> #<alt (λ (kx ky th) (* (* (sin ky) (sin th)) (/ 1 (hypot (sin kx) (sin ky)))))>)
16.594 * * * * [regimes]: Trying to branch on kx from (#<alt (λ (kx ky th) (* (/ (* (* (* (cbrt (cbrt (sin ky))) (cbrt (cbrt (sin ky)))) (cbrt (cbrt (sin ky)))) (cbrt (sin ky))) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) (* (/ (cbrt (sin ky)) (cbrt (hypot (sin kx) (sin ky)))) (sin th))))> #<alt (λ (kx ky th) (* (* (/ (sin ky) (hypot (sin kx) (sin ky))) (* (cbrt (sin th)) (cbrt (sin th)))) (cbrt (sin th))))> #<alt (λ (kx ky th) (* (log (exp (/ (sin ky) (hypot (sin kx) (sin ky))))) (sin th)))> #<alt (λ (kx ky th) (exp (log (* (/ (sin ky) (hypot (sin kx) (sin ky))) (sin th)))))> #<alt (λ (kx ky th) (* (cbrt (* (* (/ (sin ky) (hypot (sin kx) (sin ky))) (/ (sin ky) (hypot (sin kx) (sin ky)))) (/ (sin ky) (hypot (sin kx) (sin ky))))) (sin th)))> #<alt (λ (kx ky th) (* (exp (log (/ (sin ky) (hypot (sin kx) (sin ky))))) (sin th)))> #<alt (λ (kx ky th) (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky)))))> #<alt (λ (kx ky th) (* (sin ky) (exp (log (/ (sin th) (hypot (sin kx) (sin ky)))))))> #<alt (λ (kx ky th) (* (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) (* (/ (* (* (cbrt (cbrt (sin ky))) (cbrt (cbrt (sin ky)))) (cbrt (cbrt (sin ky)))) (cbrt (hypot (sin kx) (sin ky)))) (sin th))))> #<alt (λ (kx ky th) (* (* (* (/ (cbrt (sin th)) (cbrt (hypot (sin kx) (sin ky)))) (/ (cbrt (sin th)) (cbrt (hypot (sin kx) (sin ky))))) (sin ky)) (/ (cbrt (sin th)) (cbrt (hypot (sin kx) (sin ky))))))> #<alt (λ (kx ky th) (* (* (sin ky) (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sin th)) (sqrt (hypot (sin kx) (sin ky))))))> #<alt (λ (kx ky th) (* (/ (sin ky) (sqrt (+ (log (exp (pow (sin kx) 2.0))) (pow (sin ky) 2.0)))) (sin th)))> #<alt (λ (kx ky th) (* (/ (/ (sin ky) (fabs (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (sqrt (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (sin th)))> #<alt (λ (kx ky th) (* (/ (sin ky) (sqrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0)) (pow (sin ky) 2.0)))) (sin th)))> #<alt (λ (kx ky th) (* (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) (* (/ (cbrt (sin ky)) (* (* (cbrt (cbrt (hypot (sin kx) (sin ky)))) (cbrt (cbrt (hypot (sin kx) (sin ky))))) (cbrt (cbrt (hypot (sin kx) (sin ky)))))) (sin th))))> #<alt (λ (kx ky th) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (* (pow (* (cbrt (sin ky)) (cbrt (sin ky))) 2.0) (pow (cbrt (sin ky)) 2.0))))) (sin th)))> #<alt (λ (kx ky th) (log (exp (* (/ (sin ky) (hypot (sin kx) (sin ky))) (sin th)))))> #<alt (λ (kx ky th) (* (* (cbrt (* (/ (sin ky) (hypot (sin kx) (sin ky))) (sin th))) (cbrt (* (/ (sin ky) (hypot (sin kx) (sin ky))) (sin th)))) (cbrt (* (/ (sin ky) (hypot (sin kx) (sin ky))) (sin th)))))> #<alt (λ (kx ky th) (* (* (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))))))> #<alt (λ (kx ky th) (* (/ (* (cbrt (sin ky)) (exp (log (cbrt (sin ky))))) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) (* (/ (cbrt (sin ky)) (cbrt (hypot (sin kx) (sin ky)))) (sin th))))> #<alt (λ (kx ky th) (* (* (sin ky) (sin th)) (/ 1 (hypot (sin kx) (sin ky)))))>)
16.874 * * * [regime]: Found split indices: #<option (#s(si 6 255))>
16.875 * [simplify]: Simplifying:
  (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky))))
16.875 * * [simplify]: Extracting # 0 : cost  1  inf +  0
16.875 * * [simplify]: Extracting # 1 : cost  3  inf +  0
16.875 * * [simplify]: Extracting # 2 : cost  6  inf +  0
16.875 * * [simplify]: Extracting # 3 : cost  7  inf +  1
16.875 * * [simplify]: Extracting # 4 : cost  5  inf +  124
16.875 * * [simplify]: Extracting # 5 : cost  0  inf +  959
16.875 * * [simplify]: iteration  0 :  9  enodes  (cost  318 )
16.876 * * [simplify]: Extracting # 0 : cost  0  inf +  959
16.876 * * [simplify]: iteration  1 :  10  enodes  (cost  318 )
16.877 * * [simplify]: Extracting # 0 : cost  0  inf +  959
16.877 * * [simplify]: iteration done:  10  enodes  (cost  318 )
16.877 * [simplify]: Simplified to:
  (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky))))
29.946 * [regime-testing]: Baseline error score: 8.722788845622892
29.955 * [regime-testing]: Oracle error score: 8.528698886198107
29.980 * [regime-testing]: End program error score: 8.722788845622892