58.861 * [progress]: [Phase 1 of 3] Setting up.
0.003 * * * [progress]: [1/2] Preparing points
0.209 * * * [progress]: [2/2] Setting up program.
0.218 * [progress]: [Phase 2 of 3] Improving.
0.219 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
0.219 * [simplify]: Simplifying:
  (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
0.219 * * [simplify]: iteration 1: (17 enodes)
0.223 * * [simplify]: iteration 2: (34 enodes)
0.231 * * [simplify]: iteration 3: (79 enodes)
0.249 * * [simplify]: iteration 4: (185 enodes)
0.351 * * [simplify]: iteration 5: (616 enodes)
1.016 * * [simplify]: Extracting #0: cost 1 inf + 0
1.016 * * [simplify]: Extracting #1: cost 15 inf + 0
1.016 * * [simplify]: Extracting #2: cost 15 inf + 2
1.016 * * [simplify]: Extracting #3: cost 18 inf + 44
1.016 * * [simplify]: Extracting #4: cost 201 inf + 89
1.020 * * [simplify]: Extracting #5: cost 339 inf + 8425
1.034 * * [simplify]: Extracting #6: cost 187 inf + 41443
1.063 * * [simplify]: Extracting #7: cost 97 inf + 73351
1.101 * * [simplify]: Extracting #8: cost 1 inf + 124289
1.166 * * [simplify]: Extracting #9: cost 0 inf + 124724
1.232 * [simplify]: Simplified to:
  (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))
1.242 * * [progress]: iteration 1 / 4
1.242 * * * [progress]: picking best candidate
1.249 * * * * [pick]: Picked  #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
1.249 * * * [progress]: localizing error
1.311 * * * [progress]: generating rewritten candidates
1.311 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1)
1.485 * * * * [progress]: [ 2 / 4 ] rewriting at (2)
1.884 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1)
1.990 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 2 2)
2.008 * * * [progress]: generating series expansions
2.008 * * * * [progress]: [ 1 / 4 ] generating series at (2 1)
2.009 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))
2.009 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U J K) around 0
2.009 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K
2.009 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K
2.009 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
2.009 * [taylor]: Taking taylor expansion of 1/4 in K
2.009 * [backup-simplify]: Simplify 1/4 into 1/4
2.009 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
2.009 * [taylor]: Taking taylor expansion of (pow U 2) in K
2.009 * [taylor]: Taking taylor expansion of U in K
2.009 * [backup-simplify]: Simplify U into U
2.009 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
2.009 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
2.009 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
2.009 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
2.009 * [taylor]: Taking taylor expansion of 1/2 in K
2.009 * [backup-simplify]: Simplify 1/2 into 1/2
2.009 * [taylor]: Taking taylor expansion of K in K
2.009 * [backup-simplify]: Simplify 0 into 0
2.009 * [backup-simplify]: Simplify 1 into 1
2.010 * [backup-simplify]: Simplify (* 1/2 0) into 0
2.010 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
2.010 * [taylor]: Taking taylor expansion of (pow J 2) in K
2.010 * [taylor]: Taking taylor expansion of J in K
2.010 * [backup-simplify]: Simplify J into J
2.010 * [backup-simplify]: Simplify (* U U) into (pow U 2)
2.011 * [backup-simplify]: Simplify (* 1 1) into 1
2.011 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.011 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
2.011 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
2.011 * [taylor]: Taking taylor expansion of 1 in K
2.011 * [backup-simplify]: Simplify 1 into 1
2.011 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2)))
2.011 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
2.011 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
2.011 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
2.011 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
2.012 * [backup-simplify]: Simplify (+ 0) into 0
2.012 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.012 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
2.013 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
2.013 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0
2.013 * [backup-simplify]: Simplify (+ 0 0) into 0
2.013 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
2.013 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J
2.014 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J
2.014 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
2.014 * [taylor]: Taking taylor expansion of 1/4 in J
2.014 * [backup-simplify]: Simplify 1/4 into 1/4
2.014 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
2.014 * [taylor]: Taking taylor expansion of (pow U 2) in J
2.014 * [taylor]: Taking taylor expansion of U in J
2.014 * [backup-simplify]: Simplify U into U
2.014 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
2.014 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
2.014 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
2.014 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
2.014 * [taylor]: Taking taylor expansion of 1/2 in J
2.014 * [backup-simplify]: Simplify 1/2 into 1/2
2.014 * [taylor]: Taking taylor expansion of K in J
2.014 * [backup-simplify]: Simplify K into K
2.014 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
2.014 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
2.014 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
2.014 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
2.014 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
2.015 * [backup-simplify]: Simplify (- 0) into 0
2.015 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
2.015 * [taylor]: Taking taylor expansion of (pow J 2) in J
2.015 * [taylor]: Taking taylor expansion of J in J
2.015 * [backup-simplify]: Simplify 0 into 0
2.015 * [backup-simplify]: Simplify 1 into 1
2.015 * [backup-simplify]: Simplify (* U U) into (pow U 2)
2.015 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
2.015 * [backup-simplify]: Simplify (* 1 1) into 1
2.015 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
2.015 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
2.015 * [taylor]: Taking taylor expansion of 1 in J
2.015 * [backup-simplify]: Simplify 1 into 1
2.015 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
2.016 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
2.016 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
2.016 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
2.017 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.017 * [backup-simplify]: Simplify (+ 0) into 0
2.018 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
2.018 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
2.019 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.020 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
2.020 * [backup-simplify]: Simplify (- 0) into 0
2.020 * [backup-simplify]: Simplify (+ 0 0) into 0
2.021 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
2.021 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
2.022 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
2.022 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0
2.023 * [backup-simplify]: Simplify (+ 0 0) into 0
2.023 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
2.023 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
2.023 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
2.023 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
2.023 * [taylor]: Taking taylor expansion of 1/4 in U
2.023 * [backup-simplify]: Simplify 1/4 into 1/4
2.023 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
2.023 * [taylor]: Taking taylor expansion of (pow U 2) in U
2.023 * [taylor]: Taking taylor expansion of U in U
2.023 * [backup-simplify]: Simplify 0 into 0
2.023 * [backup-simplify]: Simplify 1 into 1
2.023 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
2.023 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
2.023 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
2.024 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
2.024 * [taylor]: Taking taylor expansion of 1/2 in U
2.024 * [backup-simplify]: Simplify 1/2 into 1/2
2.024 * [taylor]: Taking taylor expansion of K in U
2.024 * [backup-simplify]: Simplify K into K
2.024 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
2.024 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
2.024 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
2.024 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
2.024 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
2.025 * [backup-simplify]: Simplify (- 0) into 0
2.025 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
2.025 * [taylor]: Taking taylor expansion of (pow J 2) in U
2.025 * [taylor]: Taking taylor expansion of J in U
2.025 * [backup-simplify]: Simplify J into J
2.025 * [backup-simplify]: Simplify (* 1 1) into 1
2.025 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
2.025 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.026 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
2.026 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
2.026 * [taylor]: Taking taylor expansion of 1 in U
2.026 * [backup-simplify]: Simplify 1 into 1
2.026 * [backup-simplify]: Simplify (+ 0 1) into 1
2.027 * [backup-simplify]: Simplify (sqrt 1) into 1
2.028 * [backup-simplify]: Simplify (+ 0 0) into 0
2.029 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.029 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
2.029 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
2.029 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
2.029 * [taylor]: Taking taylor expansion of 1/4 in U
2.029 * [backup-simplify]: Simplify 1/4 into 1/4
2.029 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
2.029 * [taylor]: Taking taylor expansion of (pow U 2) in U
2.029 * [taylor]: Taking taylor expansion of U in U
2.029 * [backup-simplify]: Simplify 0 into 0
2.029 * [backup-simplify]: Simplify 1 into 1
2.029 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
2.029 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
2.029 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
2.029 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
2.029 * [taylor]: Taking taylor expansion of 1/2 in U
2.029 * [backup-simplify]: Simplify 1/2 into 1/2
2.029 * [taylor]: Taking taylor expansion of K in U
2.029 * [backup-simplify]: Simplify K into K
2.029 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
2.030 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
2.030 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
2.030 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
2.030 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
2.030 * [backup-simplify]: Simplify (- 0) into 0
2.030 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
2.030 * [taylor]: Taking taylor expansion of (pow J 2) in U
2.030 * [taylor]: Taking taylor expansion of J in U
2.031 * [backup-simplify]: Simplify J into J
2.031 * [backup-simplify]: Simplify (* 1 1) into 1
2.031 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
2.031 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.031 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
2.031 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
2.032 * [taylor]: Taking taylor expansion of 1 in U
2.032 * [backup-simplify]: Simplify 1 into 1
2.032 * [backup-simplify]: Simplify (+ 0 1) into 1
2.033 * [backup-simplify]: Simplify (sqrt 1) into 1
2.036 * [backup-simplify]: Simplify (+ 0 0) into 0
2.037 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.037 * [taylor]: Taking taylor expansion of 1 in J
2.037 * [backup-simplify]: Simplify 1 into 1
2.037 * [taylor]: Taking taylor expansion of 0 in J
2.037 * [backup-simplify]: Simplify 0 into 0
2.037 * [taylor]: Taking taylor expansion of 1 in K
2.038 * [backup-simplify]: Simplify 1 into 1
2.038 * [backup-simplify]: Simplify 1 into 1
2.038 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
2.038 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
2.040 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
2.040 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
2.040 * [taylor]: Taking taylor expansion of 1/8 in J
2.040 * [backup-simplify]: Simplify 1/8 into 1/8
2.040 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
2.040 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
2.040 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
2.040 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
2.040 * [taylor]: Taking taylor expansion of 1/2 in J
2.040 * [backup-simplify]: Simplify 1/2 into 1/2
2.040 * [taylor]: Taking taylor expansion of K in J
2.040 * [backup-simplify]: Simplify K into K
2.040 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
2.040 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
2.040 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
2.040 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
2.040 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
2.041 * [backup-simplify]: Simplify (- 0) into 0
2.041 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
2.041 * [taylor]: Taking taylor expansion of (pow J 2) in J
2.041 * [taylor]: Taking taylor expansion of J in J
2.041 * [backup-simplify]: Simplify 0 into 0
2.041 * [backup-simplify]: Simplify 1 into 1
2.041 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
2.042 * [backup-simplify]: Simplify (* 1 1) into 1
2.042 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
2.042 * [backup-simplify]: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2))
2.042 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.043 * [backup-simplify]: Simplify (+ 0) into 0
2.043 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
2.044 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
2.044 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.045 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
2.045 * [backup-simplify]: Simplify (- 0) into 0
2.045 * [backup-simplify]: Simplify (+ 0 0) into 0
2.045 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
2.045 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
2.046 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
2.046 * [taylor]: Taking taylor expansion of 0 in K
2.046 * [backup-simplify]: Simplify 0 into 0
2.046 * [backup-simplify]: Simplify 0 into 0
2.046 * [taylor]: Taking taylor expansion of 0 in K
2.046 * [backup-simplify]: Simplify 0 into 0
2.046 * [backup-simplify]: Simplify 0 into 0
2.046 * [taylor]: Taking taylor expansion of 0 in K
2.046 * [backup-simplify]: Simplify 0 into 0
2.046 * [backup-simplify]: Simplify 0 into 0
2.046 * [backup-simplify]: Simplify 0 into 0
2.046 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.046 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
2.047 * [backup-simplify]: Simplify (+ 0) into 0
2.047 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
2.047 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
2.048 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.048 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
2.048 * [backup-simplify]: Simplify (- 0) into 0
2.049 * [backup-simplify]: Simplify (+ 0 0) into 0
2.049 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
2.049 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0
2.049 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
2.050 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0
2.050 * [backup-simplify]: Simplify (+ 0 0) into 0
2.050 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0
2.050 * [taylor]: Taking taylor expansion of 0 in J
2.050 * [backup-simplify]: Simplify 0 into 0
2.051 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.052 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.053 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
2.053 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
2.054 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.054 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
2.055 * [backup-simplify]: Simplify (- 0) into 0
2.055 * [backup-simplify]: Simplify (+ 0 0) into 0
2.055 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0
2.056 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
2.056 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
2.056 * [taylor]: Taking taylor expansion of 0 in K
2.056 * [backup-simplify]: Simplify 0 into 0
2.056 * [backup-simplify]: Simplify 0 into 0
2.056 * [taylor]: Taking taylor expansion of 0 in K
2.056 * [backup-simplify]: Simplify 0 into 0
2.056 * [backup-simplify]: Simplify 0 into 0
2.056 * [backup-simplify]: Simplify 1 into 1
2.056 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
2.057 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U J K) around 0
2.057 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K
2.057 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K
2.057 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
2.057 * [taylor]: Taking taylor expansion of 1/4 in K
2.057 * [backup-simplify]: Simplify 1/4 into 1/4
2.057 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
2.057 * [taylor]: Taking taylor expansion of (pow J 2) in K
2.057 * [taylor]: Taking taylor expansion of J in K
2.057 * [backup-simplify]: Simplify J into J
2.057 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
2.057 * [taylor]: Taking taylor expansion of (pow U 2) in K
2.057 * [taylor]: Taking taylor expansion of U in K
2.057 * [backup-simplify]: Simplify U into U
2.057 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
2.057 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
2.057 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
2.057 * [taylor]: Taking taylor expansion of 1/2 in K
2.057 * [backup-simplify]: Simplify 1/2 into 1/2
2.057 * [taylor]: Taking taylor expansion of K in K
2.057 * [backup-simplify]: Simplify 0 into 0
2.057 * [backup-simplify]: Simplify 1 into 1
2.057 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.057 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.057 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.057 * [backup-simplify]: Simplify (* U U) into (pow U 2)
2.057 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
2.057 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
2.058 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
2.058 * [taylor]: Taking taylor expansion of 1 in K
2.058 * [backup-simplify]: Simplify 1 into 1
2.058 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))
2.058 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)
2.058 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
2.058 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
2.058 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
2.058 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
2.059 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
2.059 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
2.059 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
2.060 * [backup-simplify]: Simplify (+ 0 0) into 0
2.060 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
2.060 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
2.060 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
2.060 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
2.060 * [taylor]: Taking taylor expansion of 1/4 in J
2.060 * [backup-simplify]: Simplify 1/4 into 1/4
2.060 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
2.060 * [taylor]: Taking taylor expansion of (pow J 2) in J
2.060 * [taylor]: Taking taylor expansion of J in J
2.060 * [backup-simplify]: Simplify 0 into 0
2.060 * [backup-simplify]: Simplify 1 into 1
2.060 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
2.060 * [taylor]: Taking taylor expansion of (pow U 2) in J
2.060 * [taylor]: Taking taylor expansion of U in J
2.060 * [backup-simplify]: Simplify U into U
2.060 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
2.060 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
2.060 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
2.060 * [taylor]: Taking taylor expansion of 1/2 in J
2.060 * [backup-simplify]: Simplify 1/2 into 1/2
2.060 * [taylor]: Taking taylor expansion of K in J
2.060 * [backup-simplify]: Simplify K into K
2.060 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
2.060 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.060 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
2.060 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.060 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
2.061 * [backup-simplify]: Simplify (- 0) into 0
2.061 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
2.061 * [backup-simplify]: Simplify (* 1 1) into 1
2.061 * [backup-simplify]: Simplify (* U U) into (pow U 2)
2.061 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
2.061 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
2.061 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
2.061 * [taylor]: Taking taylor expansion of 1 in J
2.061 * [backup-simplify]: Simplify 1 into 1
2.062 * [backup-simplify]: Simplify (+ 0 1) into 1
2.062 * [backup-simplify]: Simplify (sqrt 1) into 1
2.062 * [backup-simplify]: Simplify (+ 0 0) into 0
2.062 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.063 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
2.063 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
2.063 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
2.063 * [taylor]: Taking taylor expansion of 1/4 in U
2.063 * [backup-simplify]: Simplify 1/4 into 1/4
2.063 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
2.063 * [taylor]: Taking taylor expansion of (pow J 2) in U
2.063 * [taylor]: Taking taylor expansion of J in U
2.063 * [backup-simplify]: Simplify J into J
2.063 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
2.063 * [taylor]: Taking taylor expansion of (pow U 2) in U
2.063 * [taylor]: Taking taylor expansion of U in U
2.063 * [backup-simplify]: Simplify 0 into 0
2.063 * [backup-simplify]: Simplify 1 into 1
2.063 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
2.063 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
2.063 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
2.063 * [taylor]: Taking taylor expansion of 1/2 in U
2.063 * [backup-simplify]: Simplify 1/2 into 1/2
2.063 * [taylor]: Taking taylor expansion of K in U
2.063 * [backup-simplify]: Simplify K into K
2.063 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
2.063 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.063 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
2.063 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.063 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
2.063 * [backup-simplify]: Simplify (- 0) into 0
2.063 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
2.063 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.064 * [backup-simplify]: Simplify (* 1 1) into 1
2.064 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
2.064 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
2.064 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
2.064 * [taylor]: Taking taylor expansion of 1 in U
2.064 * [backup-simplify]: Simplify 1 into 1
2.064 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
2.064 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
2.064 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
2.064 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
2.065 * [backup-simplify]: Simplify (+ 0) into 0
2.065 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
2.065 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
2.066 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.066 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
2.066 * [backup-simplify]: Simplify (- 0) into 0
2.066 * [backup-simplify]: Simplify (+ 0 0) into 0
2.066 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
2.067 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.067 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
2.067 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
2.068 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
2.068 * [backup-simplify]: Simplify (+ 0 0) into 0
2.068 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
2.068 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
2.068 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
2.068 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
2.068 * [taylor]: Taking taylor expansion of 1/4 in U
2.068 * [backup-simplify]: Simplify 1/4 into 1/4
2.068 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
2.068 * [taylor]: Taking taylor expansion of (pow J 2) in U
2.068 * [taylor]: Taking taylor expansion of J in U
2.068 * [backup-simplify]: Simplify J into J
2.068 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
2.068 * [taylor]: Taking taylor expansion of (pow U 2) in U
2.068 * [taylor]: Taking taylor expansion of U in U
2.068 * [backup-simplify]: Simplify 0 into 0
2.068 * [backup-simplify]: Simplify 1 into 1
2.068 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
2.068 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
2.068 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
2.068 * [taylor]: Taking taylor expansion of 1/2 in U
2.068 * [backup-simplify]: Simplify 1/2 into 1/2
2.068 * [taylor]: Taking taylor expansion of K in U
2.068 * [backup-simplify]: Simplify K into K
2.069 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
2.069 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.069 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
2.069 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.069 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
2.069 * [backup-simplify]: Simplify (- 0) into 0
2.069 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
2.069 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.069 * [backup-simplify]: Simplify (* 1 1) into 1
2.069 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
2.069 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
2.070 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
2.070 * [taylor]: Taking taylor expansion of 1 in U
2.070 * [backup-simplify]: Simplify 1 into 1
2.070 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
2.070 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
2.070 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
2.070 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
2.070 * [backup-simplify]: Simplify (+ 0) into 0
2.071 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
2.071 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
2.071 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.071 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
2.072 * [backup-simplify]: Simplify (- 0) into 0
2.072 * [backup-simplify]: Simplify (+ 0 0) into 0
2.072 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
2.073 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.073 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
2.074 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
2.075 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
2.075 * [backup-simplify]: Simplify (+ 0 0) into 0
2.075 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
2.075 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J
2.075 * [taylor]: Taking taylor expansion of 1/2 in J
2.075 * [backup-simplify]: Simplify 1/2 into 1/2
2.075 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J
2.075 * [taylor]: Taking taylor expansion of J in J
2.076 * [backup-simplify]: Simplify 0 into 0
2.076 * [backup-simplify]: Simplify 1 into 1
2.076 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
2.076 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
2.076 * [taylor]: Taking taylor expansion of 1/2 in J
2.076 * [backup-simplify]: Simplify 1/2 into 1/2
2.076 * [taylor]: Taking taylor expansion of K in J
2.076 * [backup-simplify]: Simplify K into K
2.076 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
2.076 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.076 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
2.076 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.076 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
2.076 * [backup-simplify]: Simplify (- 0) into 0
2.077 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
2.077 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K)))
2.077 * [taylor]: Taking taylor expansion of 0 in J
2.077 * [backup-simplify]: Simplify 0 into 0
2.077 * [taylor]: Taking taylor expansion of 0 in K
2.077 * [backup-simplify]: Simplify 0 into 0
2.077 * [backup-simplify]: Simplify 0 into 0
2.077 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K)))
2.077 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K
2.077 * [taylor]: Taking taylor expansion of 1/2 in K
2.077 * [backup-simplify]: Simplify 1/2 into 1/2
2.077 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
2.077 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
2.077 * [taylor]: Taking taylor expansion of 1/2 in K
2.077 * [backup-simplify]: Simplify 1/2 into 1/2
2.077 * [taylor]: Taking taylor expansion of K in K
2.077 * [backup-simplify]: Simplify 0 into 0
2.077 * [backup-simplify]: Simplify 1 into 1
2.078 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.078 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.078 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
2.078 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
2.079 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
2.080 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.081 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
2.081 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
2.082 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.082 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
2.082 * [backup-simplify]: Simplify (- 0) into 0
2.083 * [backup-simplify]: Simplify (+ 0 0) into 0
2.083 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
2.084 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.085 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
2.086 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
2.087 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0
2.087 * [backup-simplify]: Simplify (+ 0 1) into 1
2.088 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J)
2.088 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
2.088 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
2.088 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
2.088 * [taylor]: Taking taylor expansion of 1/2 in J
2.088 * [backup-simplify]: Simplify 1/2 into 1/2
2.088 * [taylor]: Taking taylor expansion of K in J
2.088 * [backup-simplify]: Simplify K into K
2.088 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
2.089 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.089 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
2.089 * [taylor]: Taking taylor expansion of J in J
2.089 * [backup-simplify]: Simplify 0 into 0
2.089 * [backup-simplify]: Simplify 1 into 1
2.089 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.089 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
2.089 * [backup-simplify]: Simplify (- 0) into 0
2.089 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
2.090 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.090 * [backup-simplify]: Simplify (+ 0) into 0
2.090 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
2.091 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
2.091 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.092 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
2.092 * [backup-simplify]: Simplify (- 0) into 0
2.093 * [backup-simplify]: Simplify (+ 0 0) into 0
2.094 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0
2.094 * [taylor]: Taking taylor expansion of 0 in K
2.094 * [backup-simplify]: Simplify 0 into 0
2.094 * [backup-simplify]: Simplify 0 into 0
2.094 * [taylor]: Taking taylor expansion of 0 in K
2.094 * [backup-simplify]: Simplify 0 into 0
2.094 * [backup-simplify]: Simplify 0 into 0
2.094 * [backup-simplify]: Simplify (+ 0) into 0
2.095 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
2.095 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
2.096 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.096 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
2.097 * [backup-simplify]: Simplify (- 0) into 0
2.097 * [backup-simplify]: Simplify (+ 0 0) into 0
2.097 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
2.098 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0
2.098 * [taylor]: Taking taylor expansion of 0 in K
2.098 * [backup-simplify]: Simplify 0 into 0
2.098 * [backup-simplify]: Simplify 0 into 0
2.098 * [backup-simplify]: Simplify 0 into 0
2.098 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
2.098 * [backup-simplify]: Simplify 0 into 0
2.099 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
2.100 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
2.101 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.101 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
2.103 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
2.104 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
2.104 * [backup-simplify]: Simplify (- 0) into 0
2.105 * [backup-simplify]: Simplify (+ 0 0) into 0
2.106 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
2.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.108 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0
2.109 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
2.111 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
2.111 * [backup-simplify]: Simplify (+ 0 0) into 0
2.111 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0
2.112 * [taylor]: Taking taylor expansion of 0 in J
2.112 * [backup-simplify]: Simplify 0 into 0
2.112 * [taylor]: Taking taylor expansion of 0 in K
2.112 * [backup-simplify]: Simplify 0 into 0
2.112 * [backup-simplify]: Simplify 0 into 0
2.112 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
2.113 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))
2.113 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U J K) around 0
2.113 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K
2.113 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K
2.113 * [taylor]: Taking taylor expansion of 1 in K
2.113 * [backup-simplify]: Simplify 1 into 1
2.113 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
2.113 * [taylor]: Taking taylor expansion of 1/4 in K
2.113 * [backup-simplify]: Simplify 1/4 into 1/4
2.113 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
2.113 * [taylor]: Taking taylor expansion of (pow J 2) in K
2.113 * [taylor]: Taking taylor expansion of J in K
2.113 * [backup-simplify]: Simplify J into J
2.113 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
2.113 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
2.113 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
2.113 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
2.113 * [taylor]: Taking taylor expansion of -1/2 in K
2.113 * [backup-simplify]: Simplify -1/2 into -1/2
2.113 * [taylor]: Taking taylor expansion of K in K
2.113 * [backup-simplify]: Simplify 0 into 0
2.113 * [backup-simplify]: Simplify 1 into 1
2.114 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
2.114 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.114 * [taylor]: Taking taylor expansion of (pow U 2) in K
2.114 * [taylor]: Taking taylor expansion of U in K
2.114 * [backup-simplify]: Simplify U into U
2.114 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.115 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
2.115 * [backup-simplify]: Simplify (* U U) into (pow U 2)
2.115 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
2.115 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
2.115 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
2.116 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))
2.116 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))
2.116 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
2.116 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
2.116 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
2.116 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
2.117 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0
2.117 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
2.118 * [backup-simplify]: Simplify (+ 0 0) into 0
2.118 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0
2.118 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
2.118 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
2.118 * [taylor]: Taking taylor expansion of 1 in J
2.118 * [backup-simplify]: Simplify 1 into 1
2.118 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
2.118 * [taylor]: Taking taylor expansion of 1/4 in J
2.118 * [backup-simplify]: Simplify 1/4 into 1/4
2.118 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
2.118 * [taylor]: Taking taylor expansion of (pow J 2) in J
2.118 * [taylor]: Taking taylor expansion of J in J
2.118 * [backup-simplify]: Simplify 0 into 0
2.118 * [backup-simplify]: Simplify 1 into 1
2.118 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
2.118 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
2.118 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
2.118 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
2.118 * [taylor]: Taking taylor expansion of -1/2 in J
2.118 * [backup-simplify]: Simplify -1/2 into -1/2
2.118 * [taylor]: Taking taylor expansion of K in J
2.118 * [backup-simplify]: Simplify K into K
2.118 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
2.118 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.118 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
2.118 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.118 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
2.119 * [backup-simplify]: Simplify (- 0) into 0
2.119 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
2.119 * [taylor]: Taking taylor expansion of (pow U 2) in J
2.119 * [taylor]: Taking taylor expansion of U in J
2.119 * [backup-simplify]: Simplify U into U
2.119 * [backup-simplify]: Simplify (* 1 1) into 1
2.119 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
2.119 * [backup-simplify]: Simplify (* U U) into (pow U 2)
2.119 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
2.119 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
2.120 * [backup-simplify]: Simplify (+ 1 0) into 1
2.120 * [backup-simplify]: Simplify (sqrt 1) into 1
2.120 * [backup-simplify]: Simplify (+ 0 0) into 0
2.121 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.121 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
2.121 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
2.121 * [taylor]: Taking taylor expansion of 1 in U
2.121 * [backup-simplify]: Simplify 1 into 1
2.121 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
2.121 * [taylor]: Taking taylor expansion of 1/4 in U
2.121 * [backup-simplify]: Simplify 1/4 into 1/4
2.121 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
2.121 * [taylor]: Taking taylor expansion of (pow J 2) in U
2.121 * [taylor]: Taking taylor expansion of J in U
2.121 * [backup-simplify]: Simplify J into J
2.121 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
2.121 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
2.121 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
2.121 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
2.121 * [taylor]: Taking taylor expansion of -1/2 in U
2.121 * [backup-simplify]: Simplify -1/2 into -1/2
2.121 * [taylor]: Taking taylor expansion of K in U
2.121 * [backup-simplify]: Simplify K into K
2.121 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
2.121 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.121 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
2.121 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.121 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
2.122 * [backup-simplify]: Simplify (- 0) into 0
2.122 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
2.122 * [taylor]: Taking taylor expansion of (pow U 2) in U
2.122 * [taylor]: Taking taylor expansion of U in U
2.122 * [backup-simplify]: Simplify 0 into 0
2.122 * [backup-simplify]: Simplify 1 into 1
2.122 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.122 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
2.122 * [backup-simplify]: Simplify (* 1 1) into 1
2.122 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
2.122 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
2.122 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
2.123 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
2.123 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
2.123 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
2.124 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.124 * [backup-simplify]: Simplify (+ 0) into 0
2.124 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
2.125 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
2.125 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.125 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
2.126 * [backup-simplify]: Simplify (- 0) into 0
2.126 * [backup-simplify]: Simplify (+ 0 0) into 0
2.126 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
2.127 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
2.127 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
2.127 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
2.127 * [backup-simplify]: Simplify (+ 0 0) into 0
2.128 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
2.128 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
2.128 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
2.128 * [taylor]: Taking taylor expansion of 1 in U
2.128 * [backup-simplify]: Simplify 1 into 1
2.128 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
2.128 * [taylor]: Taking taylor expansion of 1/4 in U
2.128 * [backup-simplify]: Simplify 1/4 into 1/4
2.128 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
2.128 * [taylor]: Taking taylor expansion of (pow J 2) in U
2.128 * [taylor]: Taking taylor expansion of J in U
2.128 * [backup-simplify]: Simplify J into J
2.128 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
2.128 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
2.128 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
2.128 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
2.128 * [taylor]: Taking taylor expansion of -1/2 in U
2.128 * [backup-simplify]: Simplify -1/2 into -1/2
2.128 * [taylor]: Taking taylor expansion of K in U
2.128 * [backup-simplify]: Simplify K into K
2.128 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
2.128 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.128 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
2.128 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.128 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
2.128 * [backup-simplify]: Simplify (- 0) into 0
2.128 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
2.128 * [taylor]: Taking taylor expansion of (pow U 2) in U
2.129 * [taylor]: Taking taylor expansion of U in U
2.129 * [backup-simplify]: Simplify 0 into 0
2.129 * [backup-simplify]: Simplify 1 into 1
2.129 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.129 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
2.129 * [backup-simplify]: Simplify (* 1 1) into 1
2.129 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
2.129 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
2.129 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
2.129 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
2.129 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
2.130 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
2.130 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.130 * [backup-simplify]: Simplify (+ 0) into 0
2.131 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
2.131 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
2.131 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.131 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
2.132 * [backup-simplify]: Simplify (- 0) into 0
2.132 * [backup-simplify]: Simplify (+ 0 0) into 0
2.132 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
2.132 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
2.133 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
2.133 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
2.133 * [backup-simplify]: Simplify (+ 0 0) into 0
2.133 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
2.133 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J
2.133 * [taylor]: Taking taylor expansion of 1/2 in J
2.133 * [backup-simplify]: Simplify 1/2 into 1/2
2.133 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J
2.133 * [taylor]: Taking taylor expansion of J in J
2.133 * [backup-simplify]: Simplify 0 into 0
2.133 * [backup-simplify]: Simplify 1 into 1
2.134 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
2.134 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
2.134 * [taylor]: Taking taylor expansion of -1/2 in J
2.134 * [backup-simplify]: Simplify -1/2 into -1/2
2.134 * [taylor]: Taking taylor expansion of K in J
2.134 * [backup-simplify]: Simplify K into K
2.134 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
2.134 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.134 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
2.134 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.134 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
2.134 * [backup-simplify]: Simplify (- 0) into 0
2.134 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
2.134 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K)))
2.134 * [taylor]: Taking taylor expansion of 0 in J
2.134 * [backup-simplify]: Simplify 0 into 0
2.134 * [taylor]: Taking taylor expansion of 0 in K
2.134 * [backup-simplify]: Simplify 0 into 0
2.134 * [backup-simplify]: Simplify 0 into 0
2.134 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K)))
2.134 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K
2.134 * [taylor]: Taking taylor expansion of 1/2 in K
2.134 * [backup-simplify]: Simplify 1/2 into 1/2
2.134 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
2.134 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
2.134 * [taylor]: Taking taylor expansion of -1/2 in K
2.134 * [backup-simplify]: Simplify -1/2 into -1/2
2.134 * [taylor]: Taking taylor expansion of K in K
2.134 * [backup-simplify]: Simplify 0 into 0
2.134 * [backup-simplify]: Simplify 1 into 1
2.135 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
2.135 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.135 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
2.135 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
2.135 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
2.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.136 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.137 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
2.137 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
2.137 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.138 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
2.138 * [backup-simplify]: Simplify (- 0) into 0
2.138 * [backup-simplify]: Simplify (+ 0 0) into 0
2.139 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
2.139 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
2.139 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
2.140 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0
2.140 * [backup-simplify]: Simplify (+ 1 0) into 1
2.141 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J)
2.141 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
2.141 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
2.141 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
2.141 * [taylor]: Taking taylor expansion of -1/2 in J
2.141 * [backup-simplify]: Simplify -1/2 into -1/2
2.141 * [taylor]: Taking taylor expansion of K in J
2.141 * [backup-simplify]: Simplify K into K
2.141 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
2.141 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.141 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
2.141 * [taylor]: Taking taylor expansion of J in J
2.141 * [backup-simplify]: Simplify 0 into 0
2.141 * [backup-simplify]: Simplify 1 into 1
2.141 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.141 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
2.142 * [backup-simplify]: Simplify (- 0) into 0
2.142 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
2.142 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.142 * [backup-simplify]: Simplify (+ 0) into 0
2.142 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
2.142 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
2.143 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.143 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
2.143 * [backup-simplify]: Simplify (- 0) into 0
2.144 * [backup-simplify]: Simplify (+ 0 0) into 0
2.144 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0
2.144 * [taylor]: Taking taylor expansion of 0 in K
2.144 * [backup-simplify]: Simplify 0 into 0
2.144 * [backup-simplify]: Simplify 0 into 0
2.144 * [taylor]: Taking taylor expansion of 0 in K
2.144 * [backup-simplify]: Simplify 0 into 0
2.144 * [backup-simplify]: Simplify 0 into 0
2.144 * [backup-simplify]: Simplify (+ 0) into 0
2.145 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
2.145 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
2.145 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.146 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
2.146 * [backup-simplify]: Simplify (- 0) into 0
2.146 * [backup-simplify]: Simplify (+ 0 0) into 0
2.146 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
2.147 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0
2.147 * [taylor]: Taking taylor expansion of 0 in K
2.147 * [backup-simplify]: Simplify 0 into 0
2.147 * [backup-simplify]: Simplify 0 into 0
2.147 * [backup-simplify]: Simplify 0 into 0
2.147 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
2.147 * [backup-simplify]: Simplify 0 into 0
2.147 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
2.148 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.149 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
2.150 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.150 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
2.152 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
2.153 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
2.155 * [backup-simplify]: Simplify (- 0) into 0
2.156 * [backup-simplify]: Simplify (+ 0 0) into 0
2.157 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
2.158 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.158 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
2.160 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
2.160 * [backup-simplify]: Simplify (+ 0 0) into 0
2.161 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
2.161 * [taylor]: Taking taylor expansion of 0 in J
2.161 * [backup-simplify]: Simplify 0 into 0
2.161 * [taylor]: Taking taylor expansion of 0 in K
2.161 * [backup-simplify]: Simplify 0 into 0
2.161 * [backup-simplify]: Simplify 0 into 0
2.161 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
2.161 * * * * [progress]: [ 2 / 4 ] generating series at (2)
2.162 * [backup-simplify]: Simplify (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))) into (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))))
2.162 * [approximate]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in (U J K) around 0
2.162 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in K
2.162 * [taylor]: Taking taylor expansion of -2 in K
2.162 * [backup-simplify]: Simplify -2 into -2
2.162 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in K
2.162 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K
2.162 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
2.162 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
2.162 * [taylor]: Taking taylor expansion of 1/2 in K
2.162 * [backup-simplify]: Simplify 1/2 into 1/2
2.162 * [taylor]: Taking taylor expansion of K in K
2.162 * [backup-simplify]: Simplify 0 into 0
2.162 * [backup-simplify]: Simplify 1 into 1
2.163 * [backup-simplify]: Simplify (* 1/2 0) into 0
2.163 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
2.163 * [taylor]: Taking taylor expansion of J in K
2.163 * [backup-simplify]: Simplify J into J
2.163 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K
2.163 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K
2.164 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
2.164 * [taylor]: Taking taylor expansion of 1/4 in K
2.164 * [backup-simplify]: Simplify 1/4 into 1/4
2.164 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
2.164 * [taylor]: Taking taylor expansion of (pow U 2) in K
2.164 * [taylor]: Taking taylor expansion of U in K
2.164 * [backup-simplify]: Simplify U into U
2.164 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
2.164 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
2.164 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
2.164 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
2.164 * [taylor]: Taking taylor expansion of 1/2 in K
2.164 * [backup-simplify]: Simplify 1/2 into 1/2
2.164 * [taylor]: Taking taylor expansion of K in K
2.164 * [backup-simplify]: Simplify 0 into 0
2.164 * [backup-simplify]: Simplify 1 into 1
2.164 * [backup-simplify]: Simplify (* 1/2 0) into 0
2.165 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
2.165 * [taylor]: Taking taylor expansion of (pow J 2) in K
2.165 * [taylor]: Taking taylor expansion of J in K
2.165 * [backup-simplify]: Simplify J into J
2.165 * [backup-simplify]: Simplify (* U U) into (pow U 2)
2.165 * [backup-simplify]: Simplify (* 1 1) into 1
2.165 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.165 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
2.165 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
2.165 * [taylor]: Taking taylor expansion of 1 in K
2.165 * [backup-simplify]: Simplify 1 into 1
2.165 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2)))
2.165 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
2.165 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
2.166 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
2.166 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
2.166 * [backup-simplify]: Simplify (+ 0) into 0
2.166 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.167 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
2.167 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
2.167 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0
2.167 * [backup-simplify]: Simplify (+ 0 0) into 0
2.167 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
2.167 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in J
2.167 * [taylor]: Taking taylor expansion of -2 in J
2.168 * [backup-simplify]: Simplify -2 into -2
2.168 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in J
2.168 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J
2.168 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
2.168 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
2.168 * [taylor]: Taking taylor expansion of 1/2 in J
2.168 * [backup-simplify]: Simplify 1/2 into 1/2
2.168 * [taylor]: Taking taylor expansion of K in J
2.168 * [backup-simplify]: Simplify K into K
2.168 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
2.168 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
2.168 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
2.168 * [taylor]: Taking taylor expansion of J in J
2.168 * [backup-simplify]: Simplify 0 into 0
2.168 * [backup-simplify]: Simplify 1 into 1
2.168 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J
2.168 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J
2.168 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
2.168 * [taylor]: Taking taylor expansion of 1/4 in J
2.168 * [backup-simplify]: Simplify 1/4 into 1/4
2.168 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
2.168 * [taylor]: Taking taylor expansion of (pow U 2) in J
2.168 * [taylor]: Taking taylor expansion of U in J
2.168 * [backup-simplify]: Simplify U into U
2.168 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
2.168 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
2.168 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
2.168 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
2.168 * [taylor]: Taking taylor expansion of 1/2 in J
2.168 * [backup-simplify]: Simplify 1/2 into 1/2
2.168 * [taylor]: Taking taylor expansion of K in J
2.168 * [backup-simplify]: Simplify K into K
2.168 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
2.168 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
2.168 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
2.168 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
2.168 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
2.169 * [backup-simplify]: Simplify (- 0) into 0
2.169 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
2.169 * [taylor]: Taking taylor expansion of (pow J 2) in J
2.169 * [taylor]: Taking taylor expansion of J in J
2.169 * [backup-simplify]: Simplify 0 into 0
2.169 * [backup-simplify]: Simplify 1 into 1
2.169 * [backup-simplify]: Simplify (* U U) into (pow U 2)
2.169 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
2.169 * [backup-simplify]: Simplify (* 1 1) into 1
2.169 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
2.169 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
2.169 * [taylor]: Taking taylor expansion of 1 in J
2.169 * [backup-simplify]: Simplify 1 into 1
2.169 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
2.169 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
2.170 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
2.170 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
2.170 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.170 * [backup-simplify]: Simplify (+ 0) into 0
2.171 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
2.171 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
2.171 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.172 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
2.172 * [backup-simplify]: Simplify (- 0) into 0
2.172 * [backup-simplify]: Simplify (+ 0 0) into 0
2.172 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
2.173 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
2.173 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
2.173 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0
2.173 * [backup-simplify]: Simplify (+ 0 0) into 0
2.174 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
2.174 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U
2.174 * [taylor]: Taking taylor expansion of -2 in U
2.174 * [backup-simplify]: Simplify -2 into -2
2.174 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U
2.174 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U
2.174 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
2.174 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
2.174 * [taylor]: Taking taylor expansion of 1/2 in U
2.174 * [backup-simplify]: Simplify 1/2 into 1/2
2.174 * [taylor]: Taking taylor expansion of K in U
2.174 * [backup-simplify]: Simplify K into K
2.174 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
2.174 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
2.174 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
2.174 * [taylor]: Taking taylor expansion of J in U
2.174 * [backup-simplify]: Simplify J into J
2.174 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
2.174 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
2.174 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
2.174 * [taylor]: Taking taylor expansion of 1/4 in U
2.174 * [backup-simplify]: Simplify 1/4 into 1/4
2.174 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
2.174 * [taylor]: Taking taylor expansion of (pow U 2) in U
2.174 * [taylor]: Taking taylor expansion of U in U
2.174 * [backup-simplify]: Simplify 0 into 0
2.174 * [backup-simplify]: Simplify 1 into 1
2.174 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
2.174 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
2.174 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
2.174 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
2.174 * [taylor]: Taking taylor expansion of 1/2 in U
2.174 * [backup-simplify]: Simplify 1/2 into 1/2
2.174 * [taylor]: Taking taylor expansion of K in U
2.174 * [backup-simplify]: Simplify K into K
2.174 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
2.174 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
2.174 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
2.174 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
2.174 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
2.175 * [backup-simplify]: Simplify (- 0) into 0
2.175 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
2.175 * [taylor]: Taking taylor expansion of (pow J 2) in U
2.175 * [taylor]: Taking taylor expansion of J in U
2.175 * [backup-simplify]: Simplify J into J
2.175 * [backup-simplify]: Simplify (* 1 1) into 1
2.175 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
2.175 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.175 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
2.175 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
2.175 * [taylor]: Taking taylor expansion of 1 in U
2.175 * [backup-simplify]: Simplify 1 into 1
2.176 * [backup-simplify]: Simplify (+ 0 1) into 1
2.176 * [backup-simplify]: Simplify (sqrt 1) into 1
2.176 * [backup-simplify]: Simplify (+ 0 0) into 0
2.176 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.176 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U
2.177 * [taylor]: Taking taylor expansion of -2 in U
2.177 * [backup-simplify]: Simplify -2 into -2
2.177 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U
2.177 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U
2.177 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
2.177 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
2.177 * [taylor]: Taking taylor expansion of 1/2 in U
2.177 * [backup-simplify]: Simplify 1/2 into 1/2
2.177 * [taylor]: Taking taylor expansion of K in U
2.177 * [backup-simplify]: Simplify K into K
2.177 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
2.177 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
2.177 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
2.177 * [taylor]: Taking taylor expansion of J in U
2.177 * [backup-simplify]: Simplify J into J
2.177 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
2.177 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
2.177 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
2.177 * [taylor]: Taking taylor expansion of 1/4 in U
2.177 * [backup-simplify]: Simplify 1/4 into 1/4
2.177 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
2.177 * [taylor]: Taking taylor expansion of (pow U 2) in U
2.177 * [taylor]: Taking taylor expansion of U in U
2.177 * [backup-simplify]: Simplify 0 into 0
2.177 * [backup-simplify]: Simplify 1 into 1
2.177 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
2.177 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
2.177 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
2.177 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
2.177 * [taylor]: Taking taylor expansion of 1/2 in U
2.177 * [backup-simplify]: Simplify 1/2 into 1/2
2.177 * [taylor]: Taking taylor expansion of K in U
2.177 * [backup-simplify]: Simplify K into K
2.177 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
2.177 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
2.177 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
2.177 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
2.177 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
2.178 * [backup-simplify]: Simplify (- 0) into 0
2.178 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
2.178 * [taylor]: Taking taylor expansion of (pow J 2) in U
2.178 * [taylor]: Taking taylor expansion of J in U
2.178 * [backup-simplify]: Simplify J into J
2.178 * [backup-simplify]: Simplify (* 1 1) into 1
2.178 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
2.178 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.178 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
2.178 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
2.178 * [taylor]: Taking taylor expansion of 1 in U
2.178 * [backup-simplify]: Simplify 1 into 1
2.178 * [backup-simplify]: Simplify (+ 0 1) into 1
2.179 * [backup-simplify]: Simplify (sqrt 1) into 1
2.179 * [backup-simplify]: Simplify (+ 0 0) into 0
2.179 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.180 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
2.180 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
2.180 * [backup-simplify]: Simplify (- 0) into 0
2.180 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
2.180 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J)
2.180 * [backup-simplify]: Simplify (* (* (cos (* 1/2 K)) J) 1) into (* (cos (* 1/2 K)) J)
2.180 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J))
2.180 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in J
2.180 * [taylor]: Taking taylor expansion of -2 in J
2.180 * [backup-simplify]: Simplify -2 into -2
2.180 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J
2.180 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
2.180 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
2.180 * [taylor]: Taking taylor expansion of 1/2 in J
2.180 * [backup-simplify]: Simplify 1/2 into 1/2
2.180 * [taylor]: Taking taylor expansion of K in J
2.180 * [backup-simplify]: Simplify K into K
2.180 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
2.180 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
2.180 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
2.180 * [taylor]: Taking taylor expansion of J in J
2.180 * [backup-simplify]: Simplify 0 into 0
2.180 * [backup-simplify]: Simplify 1 into 1
2.181 * [backup-simplify]: Simplify (+ 0) into 0
2.181 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
2.181 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
2.182 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.182 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
2.182 * [backup-simplify]: Simplify (- 0) into 0
2.182 * [backup-simplify]: Simplify (+ 0 0) into 0
2.183 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0
2.183 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (* 0 1)) into 0
2.183 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) J))) into 0
2.183 * [taylor]: Taking taylor expansion of 0 in J
2.183 * [backup-simplify]: Simplify 0 into 0
2.183 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
2.183 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
2.184 * [backup-simplify]: Simplify (- 0) into 0
2.184 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
2.184 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0
2.184 * [backup-simplify]: Simplify (* -2 0) into 0
2.184 * [taylor]: Taking taylor expansion of 0 in K
2.184 * [backup-simplify]: Simplify 0 into 0
2.184 * [backup-simplify]: Simplify 0 into 0
2.184 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
2.184 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
2.185 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
2.186 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.186 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
2.187 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
2.187 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.188 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
2.188 * [backup-simplify]: Simplify (- 0) into 0
2.188 * [backup-simplify]: Simplify (+ 0 0) into 0
2.188 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 J))) into 0
2.189 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 1))) into (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))
2.189 * [backup-simplify]: Simplify (+ (* -2 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J)))) into (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))))
2.189 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) in J
2.189 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))) in J
2.189 * [taylor]: Taking taylor expansion of 1/4 in J
2.189 * [backup-simplify]: Simplify 1/4 into 1/4
2.189 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in J
2.189 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J
2.190 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
2.190 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
2.190 * [taylor]: Taking taylor expansion of 1/2 in J
2.190 * [backup-simplify]: Simplify 1/2 into 1/2
2.190 * [taylor]: Taking taylor expansion of K in J
2.190 * [backup-simplify]: Simplify K into K
2.190 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
2.190 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
2.190 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
2.190 * [taylor]: Taking taylor expansion of J in J
2.190 * [backup-simplify]: Simplify 0 into 0
2.190 * [backup-simplify]: Simplify 1 into 1
2.190 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
2.190 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
2.190 * [backup-simplify]: Simplify (- 0) into 0
2.190 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
2.191 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0
2.191 * [backup-simplify]: Simplify (+ 0) into 0
2.191 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
2.191 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
2.192 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.192 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
2.192 * [backup-simplify]: Simplify (- 0) into 0
2.193 * [backup-simplify]: Simplify (+ 0 0) into 0
2.193 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K))
2.193 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 K))) into (/ 1 (cos (* 1/2 K)))
2.193 * [backup-simplify]: Simplify (* 1/4 (/ 1 (cos (* 1/2 K)))) into (/ 1/4 (cos (* 1/2 K)))
2.193 * [backup-simplify]: Simplify (- (/ 1/4 (cos (* 1/2 K)))) into (- (* 1/4 (/ 1 (cos (* 1/2 K)))))
2.193 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (cos (* 1/2 K))))) in K
2.193 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (cos (* 1/2 K)))) in K
2.193 * [taylor]: Taking taylor expansion of 1/4 in K
2.193 * [backup-simplify]: Simplify 1/4 into 1/4
2.193 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 1/2 K))) in K
2.193 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
2.193 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
2.193 * [taylor]: Taking taylor expansion of 1/2 in K
2.193 * [backup-simplify]: Simplify 1/2 into 1/2
2.193 * [taylor]: Taking taylor expansion of K in K
2.193 * [backup-simplify]: Simplify 0 into 0
2.193 * [backup-simplify]: Simplify 1 into 1
2.194 * [backup-simplify]: Simplify (* 1/2 0) into 0
2.194 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
2.194 * [backup-simplify]: Simplify (/ 1 1) into 1
2.195 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
2.195 * [backup-simplify]: Simplify (- 1/4) into -1/4
2.195 * [backup-simplify]: Simplify -1/4 into -1/4
2.195 * [taylor]: Taking taylor expansion of 0 in K
2.195 * [backup-simplify]: Simplify 0 into 0
2.195 * [backup-simplify]: Simplify 0 into 0
2.195 * [backup-simplify]: Simplify (+ 0) into 0
2.196 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
2.196 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
2.197 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.198 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
2.198 * [backup-simplify]: Simplify (- 0) into 0
2.198 * [backup-simplify]: Simplify (+ 0 0) into 0
2.199 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K))
2.199 * [backup-simplify]: Simplify (+ (* -2 (cos (* 1/2 K))) (* 0 0)) into (- (* 2 (cos (* 1/2 K))))
2.199 * [taylor]: Taking taylor expansion of (- (* 2 (cos (* 1/2 K)))) in K
2.199 * [taylor]: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K
2.199 * [taylor]: Taking taylor expansion of 2 in K
2.199 * [backup-simplify]: Simplify 2 into 2
2.199 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
2.199 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
2.199 * [taylor]: Taking taylor expansion of 1/2 in K
2.200 * [backup-simplify]: Simplify 1/2 into 1/2
2.200 * [taylor]: Taking taylor expansion of K in K
2.200 * [backup-simplify]: Simplify 0 into 0
2.200 * [backup-simplify]: Simplify 1 into 1
2.200 * [backup-simplify]: Simplify (* 1/2 0) into 0
2.201 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
2.201 * [backup-simplify]: Simplify (* 2 1) into 2
2.202 * [backup-simplify]: Simplify (- 2) into -2
2.202 * [backup-simplify]: Simplify -2 into -2
2.202 * [backup-simplify]: Simplify 0 into 0
2.203 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.203 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
2.203 * [backup-simplify]: Simplify (+ 0) into 0
2.204 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
2.204 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
2.205 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.206 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
2.207 * [backup-simplify]: Simplify (- 0) into 0
2.207 * [backup-simplify]: Simplify (+ 0 0) into 0
2.207 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
2.208 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0
2.208 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
2.209 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0
2.209 * [backup-simplify]: Simplify (+ 0 0) into 0
2.210 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0
2.211 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
2.212 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.214 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0
2.215 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
2.216 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
2.216 * [backup-simplify]: Simplify (- 0) into 0
2.217 * [backup-simplify]: Simplify (+ 0 0) into 0
2.218 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
2.219 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (+ (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 1)))) into 0
2.220 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J))))) into 0
2.220 * [taylor]: Taking taylor expansion of 0 in J
2.220 * [backup-simplify]: Simplify 0 into 0
2.221 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.222 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
2.223 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
2.224 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.224 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
2.224 * [backup-simplify]: Simplify (- 0) into 0
2.225 * [backup-simplify]: Simplify (+ 0 0) into 0
2.226 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0
2.226 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0
2.226 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (* 1/2 K))))) into 0
2.227 * [backup-simplify]: Simplify (- 0) into 0
2.227 * [taylor]: Taking taylor expansion of 0 in K
2.227 * [backup-simplify]: Simplify 0 into 0
2.227 * [backup-simplify]: Simplify 0 into 0
2.227 * [taylor]: Taking taylor expansion of 0 in K
2.227 * [backup-simplify]: Simplify 0 into 0
2.227 * [backup-simplify]: Simplify 0 into 0
2.228 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.229 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
2.229 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
2.230 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.231 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
2.232 * [backup-simplify]: Simplify (- 0) into 0
2.232 * [backup-simplify]: Simplify (+ 0 0) into 0
2.233 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0
2.234 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0))) into 0
2.234 * [taylor]: Taking taylor expansion of 0 in K
2.234 * [backup-simplify]: Simplify 0 into 0
2.234 * [backup-simplify]: Simplify 0 into 0
2.235 * [backup-simplify]: Simplify (+ 0) into 0
2.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.236 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
2.237 * [backup-simplify]: Simplify (- 0) into 0
2.237 * [backup-simplify]: Simplify 0 into 0
2.237 * [backup-simplify]: Simplify 0 into 0
2.237 * [backup-simplify]: Simplify (+ (* -2 (* 1 (* J 1))) (* -1/4 (* 1 (* (/ 1 J) (pow U 2))))) into (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J))))
2.238 * [backup-simplify]: Simplify (* (sqrt (+ (* (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))))) 1)) (* (cos (/ (/ 1 K) 2)) (* -2 (/ 1 J)))) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)))
2.238 * [approximate]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in (U J K) around 0
2.238 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in K
2.238 * [taylor]: Taking taylor expansion of -2 in K
2.238 * [backup-simplify]: Simplify -2 into -2
2.238 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in K
2.238 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K
2.238 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K
2.238 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
2.238 * [taylor]: Taking taylor expansion of 1/4 in K
2.238 * [backup-simplify]: Simplify 1/4 into 1/4
2.238 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
2.238 * [taylor]: Taking taylor expansion of (pow J 2) in K
2.238 * [taylor]: Taking taylor expansion of J in K
2.238 * [backup-simplify]: Simplify J into J
2.238 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
2.238 * [taylor]: Taking taylor expansion of (pow U 2) in K
2.238 * [taylor]: Taking taylor expansion of U in K
2.238 * [backup-simplify]: Simplify U into U
2.238 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
2.238 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
2.238 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
2.239 * [taylor]: Taking taylor expansion of 1/2 in K
2.239 * [backup-simplify]: Simplify 1/2 into 1/2
2.239 * [taylor]: Taking taylor expansion of K in K
2.239 * [backup-simplify]: Simplify 0 into 0
2.239 * [backup-simplify]: Simplify 1 into 1
2.239 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.239 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.239 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.239 * [backup-simplify]: Simplify (* U U) into (pow U 2)
2.239 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
2.240 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
2.240 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
2.240 * [taylor]: Taking taylor expansion of 1 in K
2.240 * [backup-simplify]: Simplify 1 into 1
2.240 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))
2.241 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)
2.241 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
2.241 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
2.242 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
2.242 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
2.242 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
2.242 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
2.243 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
2.244 * [backup-simplify]: Simplify (+ 0 0) into 0
2.244 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
2.244 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K
2.244 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
2.244 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
2.244 * [taylor]: Taking taylor expansion of 1/2 in K
2.244 * [backup-simplify]: Simplify 1/2 into 1/2
2.244 * [taylor]: Taking taylor expansion of K in K
2.244 * [backup-simplify]: Simplify 0 into 0
2.244 * [backup-simplify]: Simplify 1 into 1
2.245 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.245 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.245 * [taylor]: Taking taylor expansion of J in K
2.245 * [backup-simplify]: Simplify J into J
2.245 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
2.245 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in J
2.245 * [taylor]: Taking taylor expansion of -2 in J
2.245 * [backup-simplify]: Simplify -2 into -2
2.245 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in J
2.245 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
2.245 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
2.245 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
2.245 * [taylor]: Taking taylor expansion of 1/4 in J
2.245 * [backup-simplify]: Simplify 1/4 into 1/4
2.245 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
2.245 * [taylor]: Taking taylor expansion of (pow J 2) in J
2.245 * [taylor]: Taking taylor expansion of J in J
2.246 * [backup-simplify]: Simplify 0 into 0
2.246 * [backup-simplify]: Simplify 1 into 1
2.246 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
2.246 * [taylor]: Taking taylor expansion of (pow U 2) in J
2.246 * [taylor]: Taking taylor expansion of U in J
2.246 * [backup-simplify]: Simplify U into U
2.246 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
2.246 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
2.246 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
2.246 * [taylor]: Taking taylor expansion of 1/2 in J
2.246 * [backup-simplify]: Simplify 1/2 into 1/2
2.246 * [taylor]: Taking taylor expansion of K in J
2.246 * [backup-simplify]: Simplify K into K
2.246 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
2.246 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.246 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
2.246 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.246 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
2.247 * [backup-simplify]: Simplify (- 0) into 0
2.247 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
2.247 * [backup-simplify]: Simplify (* 1 1) into 1
2.247 * [backup-simplify]: Simplify (* U U) into (pow U 2)
2.247 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
2.248 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
2.248 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
2.248 * [taylor]: Taking taylor expansion of 1 in J
2.248 * [backup-simplify]: Simplify 1 into 1
2.248 * [backup-simplify]: Simplify (+ 0 1) into 1
2.249 * [backup-simplify]: Simplify (sqrt 1) into 1
2.249 * [backup-simplify]: Simplify (+ 0 0) into 0
2.250 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.250 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
2.250 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
2.250 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
2.250 * [taylor]: Taking taylor expansion of 1/2 in J
2.250 * [backup-simplify]: Simplify 1/2 into 1/2
2.250 * [taylor]: Taking taylor expansion of K in J
2.250 * [backup-simplify]: Simplify K into K
2.250 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
2.250 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.250 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
2.250 * [taylor]: Taking taylor expansion of J in J
2.250 * [backup-simplify]: Simplify 0 into 0
2.250 * [backup-simplify]: Simplify 1 into 1
2.250 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.251 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
2.251 * [backup-simplify]: Simplify (- 0) into 0
2.251 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
2.251 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.251 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in U
2.251 * [taylor]: Taking taylor expansion of -2 in U
2.251 * [backup-simplify]: Simplify -2 into -2
2.251 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in U
2.251 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
2.251 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
2.251 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
2.251 * [taylor]: Taking taylor expansion of 1/4 in U
2.251 * [backup-simplify]: Simplify 1/4 into 1/4
2.251 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
2.251 * [taylor]: Taking taylor expansion of (pow J 2) in U
2.251 * [taylor]: Taking taylor expansion of J in U
2.252 * [backup-simplify]: Simplify J into J
2.252 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
2.252 * [taylor]: Taking taylor expansion of (pow U 2) in U
2.252 * [taylor]: Taking taylor expansion of U in U
2.252 * [backup-simplify]: Simplify 0 into 0
2.252 * [backup-simplify]: Simplify 1 into 1
2.252 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
2.252 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
2.252 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
2.252 * [taylor]: Taking taylor expansion of 1/2 in U
2.252 * [backup-simplify]: Simplify 1/2 into 1/2
2.252 * [taylor]: Taking taylor expansion of K in U
2.252 * [backup-simplify]: Simplify K into K
2.252 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
2.252 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.252 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
2.252 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.252 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
2.253 * [backup-simplify]: Simplify (- 0) into 0
2.253 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
2.253 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.253 * [backup-simplify]: Simplify (* 1 1) into 1
2.253 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
2.253 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
2.254 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
2.254 * [taylor]: Taking taylor expansion of 1 in U
2.254 * [backup-simplify]: Simplify 1 into 1
2.254 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
2.254 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
2.254 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
2.255 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
2.255 * [backup-simplify]: Simplify (+ 0) into 0
2.256 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
2.256 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
2.257 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.257 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
2.257 * [backup-simplify]: Simplify (- 0) into 0
2.258 * [backup-simplify]: Simplify (+ 0 0) into 0
2.258 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
2.259 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.259 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
2.260 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
2.260 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
2.260 * [backup-simplify]: Simplify (+ 0 0) into 0
2.260 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
2.260 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U
2.260 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
2.260 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
2.260 * [taylor]: Taking taylor expansion of 1/2 in U
2.260 * [backup-simplify]: Simplify 1/2 into 1/2
2.261 * [taylor]: Taking taylor expansion of K in U
2.261 * [backup-simplify]: Simplify K into K
2.261 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
2.261 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.261 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
2.261 * [taylor]: Taking taylor expansion of J in U
2.261 * [backup-simplify]: Simplify J into J
2.261 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.261 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
2.261 * [backup-simplify]: Simplify (- 0) into 0
2.261 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
2.261 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
2.261 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in U
2.261 * [taylor]: Taking taylor expansion of -2 in U
2.261 * [backup-simplify]: Simplify -2 into -2
2.261 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in U
2.261 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
2.261 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
2.261 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
2.261 * [taylor]: Taking taylor expansion of 1/4 in U
2.261 * [backup-simplify]: Simplify 1/4 into 1/4
2.261 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
2.261 * [taylor]: Taking taylor expansion of (pow J 2) in U
2.261 * [taylor]: Taking taylor expansion of J in U
2.261 * [backup-simplify]: Simplify J into J
2.261 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
2.261 * [taylor]: Taking taylor expansion of (pow U 2) in U
2.261 * [taylor]: Taking taylor expansion of U in U
2.261 * [backup-simplify]: Simplify 0 into 0
2.261 * [backup-simplify]: Simplify 1 into 1
2.261 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
2.261 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
2.261 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
2.261 * [taylor]: Taking taylor expansion of 1/2 in U
2.261 * [backup-simplify]: Simplify 1/2 into 1/2
2.261 * [taylor]: Taking taylor expansion of K in U
2.262 * [backup-simplify]: Simplify K into K
2.262 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
2.262 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.262 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
2.262 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.262 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
2.262 * [backup-simplify]: Simplify (- 0) into 0
2.262 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
2.262 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.262 * [backup-simplify]: Simplify (* 1 1) into 1
2.262 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
2.262 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
2.263 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
2.263 * [taylor]: Taking taylor expansion of 1 in U
2.263 * [backup-simplify]: Simplify 1 into 1
2.263 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
2.263 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
2.263 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
2.263 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
2.263 * [backup-simplify]: Simplify (+ 0) into 0
2.264 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
2.264 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
2.264 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.264 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
2.265 * [backup-simplify]: Simplify (- 0) into 0
2.265 * [backup-simplify]: Simplify (+ 0 0) into 0
2.265 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
2.265 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.266 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
2.266 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
2.266 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
2.267 * [backup-simplify]: Simplify (+ 0 0) into 0
2.267 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
2.267 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U
2.267 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
2.267 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
2.267 * [taylor]: Taking taylor expansion of 1/2 in U
2.267 * [backup-simplify]: Simplify 1/2 into 1/2
2.267 * [taylor]: Taking taylor expansion of K in U
2.267 * [backup-simplify]: Simplify K into K
2.267 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
2.267 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.267 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
2.267 * [taylor]: Taking taylor expansion of J in U
2.267 * [backup-simplify]: Simplify J into J
2.267 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.267 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
2.267 * [backup-simplify]: Simplify (- 0) into 0
2.267 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
2.267 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
2.268 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ (cos (/ 1/2 K)) J)) into 1/2
2.268 * [backup-simplify]: Simplify (* -2 1/2) into -1
2.268 * [taylor]: Taking taylor expansion of -1 in J
2.268 * [backup-simplify]: Simplify -1 into -1
2.268 * [backup-simplify]: Simplify (+ 0) into 0
2.268 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
2.269 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
2.269 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.269 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
2.270 * [backup-simplify]: Simplify (- 0) into 0
2.270 * [backup-simplify]: Simplify (+ 0 0) into 0
2.270 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0
2.270 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (/ (cos (/ 1/2 K)) J))) into 0
2.271 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1/2)) into 0
2.271 * [taylor]: Taking taylor expansion of 0 in J
2.271 * [backup-simplify]: Simplify 0 into 0
2.271 * [taylor]: Taking taylor expansion of -1 in K
2.271 * [backup-simplify]: Simplify -1 into -1
2.271 * [backup-simplify]: Simplify -1 into -1
2.271 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.272 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
2.272 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
2.272 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.273 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
2.273 * [backup-simplify]: Simplify (- 0) into 0
2.273 * [backup-simplify]: Simplify (+ 0 0) into 0
2.273 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0
2.273 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
2.274 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.274 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
2.275 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
2.275 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.275 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
2.276 * [backup-simplify]: Simplify (- 0) into 0
2.276 * [backup-simplify]: Simplify (+ 0 0) into 0
2.276 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
2.277 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
2.279 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
2.280 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0
2.280 * [backup-simplify]: Simplify (+ 0 1) into 1
2.281 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J)
2.281 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* (/ (cos (/ 1/2 K)) J) (/ (cos (/ 1/2 K)) J)))) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))
2.282 * [backup-simplify]: Simplify (+ (* -2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2))) into (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))))
2.282 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in J
2.282 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J
2.282 * [taylor]: Taking taylor expansion of 2 in J
2.282 * [backup-simplify]: Simplify 2 into 2
2.282 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in J
2.282 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
2.282 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
2.282 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
2.282 * [taylor]: Taking taylor expansion of 1/2 in J
2.282 * [backup-simplify]: Simplify 1/2 into 1/2
2.282 * [taylor]: Taking taylor expansion of K in J
2.282 * [backup-simplify]: Simplify K into K
2.282 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
2.282 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.282 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
2.282 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.282 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
2.282 * [backup-simplify]: Simplify (- 0) into 0
2.282 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
2.282 * [taylor]: Taking taylor expansion of (pow J 2) in J
2.283 * [taylor]: Taking taylor expansion of J in J
2.283 * [backup-simplify]: Simplify 0 into 0
2.283 * [backup-simplify]: Simplify 1 into 1
2.283 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
2.283 * [backup-simplify]: Simplify (* 1 1) into 1
2.283 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2)
2.283 * [backup-simplify]: Simplify (+ 0) into 0
2.284 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
2.284 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
2.284 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.284 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
2.285 * [backup-simplify]: Simplify (- 0) into 0
2.285 * [backup-simplify]: Simplify (+ 0 0) into 0
2.285 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
2.285 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.286 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0
2.286 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
2.286 * [backup-simplify]: Simplify (- 0) into 0
2.287 * [taylor]: Taking taylor expansion of 0 in K
2.287 * [backup-simplify]: Simplify 0 into 0
2.287 * [backup-simplify]: Simplify 0 into 0
2.287 * [taylor]: Taking taylor expansion of 0 in K
2.287 * [backup-simplify]: Simplify 0 into 0
2.287 * [backup-simplify]: Simplify 0 into 0
2.287 * [taylor]: Taking taylor expansion of 0 in K
2.287 * [backup-simplify]: Simplify 0 into 0
2.287 * [backup-simplify]: Simplify 0 into 0
2.287 * [backup-simplify]: Simplify 0 into 0
2.287 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
2.288 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.288 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
2.289 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
2.289 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
2.289 * [backup-simplify]: Simplify (- 0) into 0
2.290 * [backup-simplify]: Simplify (+ 0 0) into 0
2.290 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0
2.290 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
2.291 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
2.292 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.292 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
2.293 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
2.293 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
2.293 * [backup-simplify]: Simplify (- 0) into 0
2.294 * [backup-simplify]: Simplify (+ 0 0) into 0
2.294 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
2.295 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.296 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0
2.296 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
2.297 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
2.297 * [backup-simplify]: Simplify (+ 0 0) into 0
2.298 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0
2.298 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (+ (* (/ (cos (/ 1/2 K)) J) 0) (* 0 (/ (cos (/ 1/2 K)) J))))) into 0
2.299 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0
2.299 * [taylor]: Taking taylor expansion of 0 in J
2.299 * [backup-simplify]: Simplify 0 into 0
2.300 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.300 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
2.301 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
2.301 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.302 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
2.302 * [backup-simplify]: Simplify (- 0) into 0
2.303 * [backup-simplify]: Simplify (+ 0 0) into 0
2.303 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
2.304 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.306 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.307 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
2.308 * [backup-simplify]: Simplify (- 0) into 0
2.308 * [taylor]: Taking taylor expansion of 0 in K
2.308 * [backup-simplify]: Simplify 0 into 0
2.308 * [backup-simplify]: Simplify 0 into 0
2.308 * [taylor]: Taking taylor expansion of 0 in K
2.308 * [backup-simplify]: Simplify 0 into 0
2.308 * [backup-simplify]: Simplify 0 into 0
2.308 * [backup-simplify]: Simplify (* -1 (* 1 (* 1 (/ 1 (/ 1 U))))) into (* -1 U)
2.309 * [backup-simplify]: Simplify (* (sqrt (+ (* (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))))) 1)) (* (cos (/ (/ 1 (- K)) 2)) (* -2 (/ 1 (- J))))) into (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))))
2.309 * [approximate]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in (U J K) around 0
2.309 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in K
2.309 * [taylor]: Taking taylor expansion of 2 in K
2.309 * [backup-simplify]: Simplify 2 into 2
2.309 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in K
2.309 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K
2.309 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
2.309 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
2.309 * [taylor]: Taking taylor expansion of -1/2 in K
2.309 * [backup-simplify]: Simplify -1/2 into -1/2
2.309 * [taylor]: Taking taylor expansion of K in K
2.309 * [backup-simplify]: Simplify 0 into 0
2.309 * [backup-simplify]: Simplify 1 into 1
2.310 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
2.310 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.310 * [taylor]: Taking taylor expansion of J in K
2.310 * [backup-simplify]: Simplify J into J
2.310 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
2.310 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K
2.310 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K
2.310 * [taylor]: Taking taylor expansion of 1 in K
2.311 * [backup-simplify]: Simplify 1 into 1
2.311 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
2.311 * [taylor]: Taking taylor expansion of 1/4 in K
2.311 * [backup-simplify]: Simplify 1/4 into 1/4
2.311 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
2.311 * [taylor]: Taking taylor expansion of (pow J 2) in K
2.311 * [taylor]: Taking taylor expansion of J in K
2.311 * [backup-simplify]: Simplify J into J
2.311 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
2.311 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
2.311 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
2.311 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
2.311 * [taylor]: Taking taylor expansion of -1/2 in K
2.311 * [backup-simplify]: Simplify -1/2 into -1/2
2.311 * [taylor]: Taking taylor expansion of K in K
2.311 * [backup-simplify]: Simplify 0 into 0
2.311 * [backup-simplify]: Simplify 1 into 1
2.312 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
2.312 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.312 * [taylor]: Taking taylor expansion of (pow U 2) in K
2.312 * [taylor]: Taking taylor expansion of U in K
2.312 * [backup-simplify]: Simplify U into U
2.312 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.312 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
2.312 * [backup-simplify]: Simplify (* U U) into (pow U 2)
2.312 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
2.312 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
2.313 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
2.313 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))
2.314 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))
2.314 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
2.314 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
2.314 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
2.314 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
2.315 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0
2.316 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
2.316 * [backup-simplify]: Simplify (+ 0 0) into 0
2.317 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0
2.317 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J
2.317 * [taylor]: Taking taylor expansion of 2 in J
2.317 * [backup-simplify]: Simplify 2 into 2
2.317 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J
2.317 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
2.317 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
2.317 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
2.317 * [taylor]: Taking taylor expansion of -1/2 in J
2.317 * [backup-simplify]: Simplify -1/2 into -1/2
2.317 * [taylor]: Taking taylor expansion of K in J
2.317 * [backup-simplify]: Simplify K into K
2.317 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
2.317 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.317 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
2.317 * [taylor]: Taking taylor expansion of J in J
2.317 * [backup-simplify]: Simplify 0 into 0
2.317 * [backup-simplify]: Simplify 1 into 1
2.318 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.318 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
2.318 * [backup-simplify]: Simplify (- 0) into 0
2.318 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
2.318 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.318 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
2.318 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
2.318 * [taylor]: Taking taylor expansion of 1 in J
2.318 * [backup-simplify]: Simplify 1 into 1
2.318 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
2.319 * [taylor]: Taking taylor expansion of 1/4 in J
2.319 * [backup-simplify]: Simplify 1/4 into 1/4
2.319 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
2.319 * [taylor]: Taking taylor expansion of (pow J 2) in J
2.319 * [taylor]: Taking taylor expansion of J in J
2.319 * [backup-simplify]: Simplify 0 into 0
2.319 * [backup-simplify]: Simplify 1 into 1
2.319 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
2.319 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
2.319 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
2.319 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
2.319 * [taylor]: Taking taylor expansion of -1/2 in J
2.319 * [backup-simplify]: Simplify -1/2 into -1/2
2.319 * [taylor]: Taking taylor expansion of K in J
2.319 * [backup-simplify]: Simplify K into K
2.319 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
2.319 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.319 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
2.319 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.319 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
2.320 * [backup-simplify]: Simplify (- 0) into 0
2.320 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
2.320 * [taylor]: Taking taylor expansion of (pow U 2) in J
2.320 * [taylor]: Taking taylor expansion of U in J
2.320 * [backup-simplify]: Simplify U into U
2.320 * [backup-simplify]: Simplify (* 1 1) into 1
2.321 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
2.321 * [backup-simplify]: Simplify (* U U) into (pow U 2)
2.321 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
2.321 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
2.322 * [backup-simplify]: Simplify (+ 1 0) into 1
2.322 * [backup-simplify]: Simplify (sqrt 1) into 1
2.322 * [backup-simplify]: Simplify (+ 0 0) into 0
2.323 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.323 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U
2.323 * [taylor]: Taking taylor expansion of 2 in U
2.323 * [backup-simplify]: Simplify 2 into 2
2.323 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U
2.323 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U
2.323 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
2.323 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
2.324 * [taylor]: Taking taylor expansion of -1/2 in U
2.324 * [backup-simplify]: Simplify -1/2 into -1/2
2.324 * [taylor]: Taking taylor expansion of K in U
2.324 * [backup-simplify]: Simplify K into K
2.324 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
2.324 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.324 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
2.324 * [taylor]: Taking taylor expansion of J in U
2.324 * [backup-simplify]: Simplify J into J
2.324 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.324 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
2.325 * [backup-simplify]: Simplify (- 0) into 0
2.325 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
2.325 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
2.325 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
2.325 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
2.325 * [taylor]: Taking taylor expansion of 1 in U
2.325 * [backup-simplify]: Simplify 1 into 1
2.325 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
2.325 * [taylor]: Taking taylor expansion of 1/4 in U
2.325 * [backup-simplify]: Simplify 1/4 into 1/4
2.325 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
2.325 * [taylor]: Taking taylor expansion of (pow J 2) in U
2.325 * [taylor]: Taking taylor expansion of J in U
2.325 * [backup-simplify]: Simplify J into J
2.325 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
2.325 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
2.325 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
2.325 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
2.325 * [taylor]: Taking taylor expansion of -1/2 in U
2.325 * [backup-simplify]: Simplify -1/2 into -1/2
2.325 * [taylor]: Taking taylor expansion of K in U
2.325 * [backup-simplify]: Simplify K into K
2.325 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
2.325 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.326 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
2.326 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.326 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
2.326 * [backup-simplify]: Simplify (- 0) into 0
2.326 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
2.326 * [taylor]: Taking taylor expansion of (pow U 2) in U
2.326 * [taylor]: Taking taylor expansion of U in U
2.326 * [backup-simplify]: Simplify 0 into 0
2.326 * [backup-simplify]: Simplify 1 into 1
2.327 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.327 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
2.327 * [backup-simplify]: Simplify (* 1 1) into 1
2.327 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
2.327 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
2.328 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
2.328 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
2.329 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
2.329 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
2.330 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.330 * [backup-simplify]: Simplify (+ 0) into 0
2.331 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
2.331 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
2.332 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.333 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
2.333 * [backup-simplify]: Simplify (- 0) into 0
2.333 * [backup-simplify]: Simplify (+ 0 0) into 0
2.334 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
2.334 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
2.335 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
2.335 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
2.336 * [backup-simplify]: Simplify (+ 0 0) into 0
2.336 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
2.336 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U
2.336 * [taylor]: Taking taylor expansion of 2 in U
2.336 * [backup-simplify]: Simplify 2 into 2
2.336 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U
2.336 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U
2.336 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
2.336 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
2.336 * [taylor]: Taking taylor expansion of -1/2 in U
2.336 * [backup-simplify]: Simplify -1/2 into -1/2
2.336 * [taylor]: Taking taylor expansion of K in U
2.336 * [backup-simplify]: Simplify K into K
2.336 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
2.336 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.337 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
2.337 * [taylor]: Taking taylor expansion of J in U
2.337 * [backup-simplify]: Simplify J into J
2.337 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.337 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
2.337 * [backup-simplify]: Simplify (- 0) into 0
2.337 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
2.337 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
2.337 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
2.337 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
2.338 * [taylor]: Taking taylor expansion of 1 in U
2.338 * [backup-simplify]: Simplify 1 into 1
2.338 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
2.338 * [taylor]: Taking taylor expansion of 1/4 in U
2.338 * [backup-simplify]: Simplify 1/4 into 1/4
2.338 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
2.338 * [taylor]: Taking taylor expansion of (pow J 2) in U
2.338 * [taylor]: Taking taylor expansion of J in U
2.338 * [backup-simplify]: Simplify J into J
2.338 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
2.338 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
2.338 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
2.338 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
2.338 * [taylor]: Taking taylor expansion of -1/2 in U
2.338 * [backup-simplify]: Simplify -1/2 into -1/2
2.338 * [taylor]: Taking taylor expansion of K in U
2.338 * [backup-simplify]: Simplify K into K
2.338 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
2.338 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.338 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
2.338 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.338 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
2.339 * [backup-simplify]: Simplify (- 0) into 0
2.339 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
2.339 * [taylor]: Taking taylor expansion of (pow U 2) in U
2.339 * [taylor]: Taking taylor expansion of U in U
2.339 * [backup-simplify]: Simplify 0 into 0
2.339 * [backup-simplify]: Simplify 1 into 1
2.339 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.339 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
2.340 * [backup-simplify]: Simplify (* 1 1) into 1
2.340 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
2.340 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
2.340 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
2.340 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
2.341 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
2.341 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
2.341 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.342 * [backup-simplify]: Simplify (+ 0) into 0
2.342 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
2.343 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
2.343 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.344 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
2.344 * [backup-simplify]: Simplify (- 0) into 0
2.345 * [backup-simplify]: Simplify (+ 0 0) into 0
2.345 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
2.345 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
2.346 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
2.346 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
2.347 * [backup-simplify]: Simplify (+ 0 0) into 0
2.347 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
2.347 * [backup-simplify]: Simplify (* (/ (cos (/ -1/2 K)) J) (* 1/2 (/ J (cos (/ -1/2 K))))) into 1/2
2.348 * [backup-simplify]: Simplify (* 2 1/2) into 1
2.348 * [taylor]: Taking taylor expansion of 1 in J
2.348 * [backup-simplify]: Simplify 1 into 1
2.348 * [backup-simplify]: Simplify (+ 0) into 0
2.348 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
2.349 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
2.349 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.349 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
2.350 * [backup-simplify]: Simplify (- 0) into 0
2.350 * [backup-simplify]: Simplify (+ 0 0) into 0
2.350 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0
2.350 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
2.350 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1/2)) into 0
2.350 * [taylor]: Taking taylor expansion of 0 in J
2.350 * [backup-simplify]: Simplify 0 into 0
2.351 * [taylor]: Taking taylor expansion of 1 in K
2.351 * [backup-simplify]: Simplify 1 into 1
2.351 * [backup-simplify]: Simplify 1 into 1
2.351 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
2.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.352 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.353 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
2.353 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
2.353 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.354 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
2.354 * [backup-simplify]: Simplify (- 0) into 0
2.354 * [backup-simplify]: Simplify (+ 0 0) into 0
2.354 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
2.355 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
2.355 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
2.356 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0
2.356 * [backup-simplify]: Simplify (+ 1 0) into 1
2.356 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J)
2.357 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.357 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
2.358 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
2.358 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.358 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
2.359 * [backup-simplify]: Simplify (- 0) into 0
2.359 * [backup-simplify]: Simplify (+ 0 0) into 0
2.359 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0
2.359 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))
2.360 * [backup-simplify]: Simplify (+ (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2))) into (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))
2.360 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J
2.360 * [taylor]: Taking taylor expansion of 2 in J
2.360 * [backup-simplify]: Simplify 2 into 2
2.360 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J
2.360 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
2.360 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
2.360 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
2.360 * [taylor]: Taking taylor expansion of -1/2 in J
2.360 * [backup-simplify]: Simplify -1/2 into -1/2
2.360 * [taylor]: Taking taylor expansion of K in J
2.360 * [backup-simplify]: Simplify K into K
2.360 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
2.360 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.360 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
2.360 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.360 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
2.361 * [backup-simplify]: Simplify (- 0) into 0
2.361 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
2.361 * [taylor]: Taking taylor expansion of (pow J 2) in J
2.361 * [taylor]: Taking taylor expansion of J in J
2.361 * [backup-simplify]: Simplify 0 into 0
2.361 * [backup-simplify]: Simplify 1 into 1
2.361 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
2.361 * [backup-simplify]: Simplify (* 1 1) into 1
2.361 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
2.361 * [backup-simplify]: Simplify (+ 0) into 0
2.362 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
2.362 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
2.362 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.363 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
2.363 * [backup-simplify]: Simplify (- 0) into 0
2.363 * [backup-simplify]: Simplify (+ 0 0) into 0
2.363 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
2.363 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.364 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0
2.364 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0
2.364 * [taylor]: Taking taylor expansion of 0 in K
2.364 * [backup-simplify]: Simplify 0 into 0
2.364 * [backup-simplify]: Simplify 0 into 0
2.364 * [taylor]: Taking taylor expansion of 0 in K
2.364 * [backup-simplify]: Simplify 0 into 0
2.365 * [backup-simplify]: Simplify 0 into 0
2.365 * [taylor]: Taking taylor expansion of 0 in K
2.365 * [backup-simplify]: Simplify 0 into 0
2.365 * [backup-simplify]: Simplify 0 into 0
2.365 * [backup-simplify]: Simplify 0 into 0
2.365 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
2.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.366 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
2.367 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.367 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
2.368 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
2.368 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
2.368 * [backup-simplify]: Simplify (- 0) into 0
2.369 * [backup-simplify]: Simplify (+ 0 0) into 0
2.369 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
2.370 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.370 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
2.371 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
2.371 * [backup-simplify]: Simplify (+ 0 0) into 0
2.371 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
2.372 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
2.373 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.373 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
2.374 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
2.375 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
2.375 * [backup-simplify]: Simplify (- 0) into 0
2.376 * [backup-simplify]: Simplify (+ 0 0) into 0
2.376 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0
2.377 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) 0) (+ (* 0 (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0
2.378 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0
2.378 * [taylor]: Taking taylor expansion of 0 in J
2.378 * [backup-simplify]: Simplify 0 into 0
2.379 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.379 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
2.380 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
2.380 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.381 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
2.381 * [backup-simplify]: Simplify (- 0) into 0
2.382 * [backup-simplify]: Simplify (+ 0 0) into 0
2.382 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
2.383 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.385 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.385 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0
2.385 * [taylor]: Taking taylor expansion of 0 in K
2.385 * [backup-simplify]: Simplify 0 into 0
2.385 * [backup-simplify]: Simplify 0 into 0
2.386 * [taylor]: Taking taylor expansion of 0 in K
2.386 * [backup-simplify]: Simplify 0 into 0
2.386 * [backup-simplify]: Simplify 0 into 0
2.386 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- U)))))) into (* -1 U)
2.386 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1)
2.386 * [backup-simplify]: Simplify (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
2.386 * [approximate]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in (U J K) around 0
2.386 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
2.386 * [taylor]: Taking taylor expansion of 1/4 in K
2.386 * [backup-simplify]: Simplify 1/4 into 1/4
2.386 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
2.386 * [taylor]: Taking taylor expansion of (pow U 2) in K
2.386 * [taylor]: Taking taylor expansion of U in K
2.386 * [backup-simplify]: Simplify U into U
2.386 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
2.386 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
2.386 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
2.387 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
2.387 * [taylor]: Taking taylor expansion of 1/2 in K
2.387 * [backup-simplify]: Simplify 1/2 into 1/2
2.387 * [taylor]: Taking taylor expansion of K in K
2.387 * [backup-simplify]: Simplify 0 into 0
2.387 * [backup-simplify]: Simplify 1 into 1
2.387 * [backup-simplify]: Simplify (* 1/2 0) into 0
2.388 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
2.388 * [taylor]: Taking taylor expansion of (pow J 2) in K
2.388 * [taylor]: Taking taylor expansion of J in K
2.388 * [backup-simplify]: Simplify J into J
2.388 * [backup-simplify]: Simplify (* U U) into (pow U 2)
2.388 * [backup-simplify]: Simplify (* 1 1) into 1
2.388 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.388 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
2.389 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
2.389 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
2.389 * [taylor]: Taking taylor expansion of 1/4 in J
2.389 * [backup-simplify]: Simplify 1/4 into 1/4
2.389 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
2.389 * [taylor]: Taking taylor expansion of (pow U 2) in J
2.389 * [taylor]: Taking taylor expansion of U in J
2.389 * [backup-simplify]: Simplify U into U
2.389 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
2.389 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
2.389 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
2.389 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
2.389 * [taylor]: Taking taylor expansion of 1/2 in J
2.389 * [backup-simplify]: Simplify 1/2 into 1/2
2.389 * [taylor]: Taking taylor expansion of K in J
2.389 * [backup-simplify]: Simplify K into K
2.389 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
2.389 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
2.389 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
2.389 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
2.389 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
2.390 * [backup-simplify]: Simplify (- 0) into 0
2.390 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
2.390 * [taylor]: Taking taylor expansion of (pow J 2) in J
2.390 * [taylor]: Taking taylor expansion of J in J
2.390 * [backup-simplify]: Simplify 0 into 0
2.390 * [backup-simplify]: Simplify 1 into 1
2.390 * [backup-simplify]: Simplify (* U U) into (pow U 2)
2.390 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
2.390 * [backup-simplify]: Simplify (* 1 1) into 1
2.390 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
2.391 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
2.391 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
2.391 * [taylor]: Taking taylor expansion of 1/4 in U
2.391 * [backup-simplify]: Simplify 1/4 into 1/4
2.391 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
2.391 * [taylor]: Taking taylor expansion of (pow U 2) in U
2.391 * [taylor]: Taking taylor expansion of U in U
2.391 * [backup-simplify]: Simplify 0 into 0
2.391 * [backup-simplify]: Simplify 1 into 1
2.391 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
2.391 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
2.391 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
2.391 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
2.391 * [taylor]: Taking taylor expansion of 1/2 in U
2.391 * [backup-simplify]: Simplify 1/2 into 1/2
2.391 * [taylor]: Taking taylor expansion of K in U
2.391 * [backup-simplify]: Simplify K into K
2.391 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
2.391 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
2.391 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
2.391 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
2.391 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
2.392 * [backup-simplify]: Simplify (- 0) into 0
2.392 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
2.392 * [taylor]: Taking taylor expansion of (pow J 2) in U
2.392 * [taylor]: Taking taylor expansion of J in U
2.392 * [backup-simplify]: Simplify J into J
2.392 * [backup-simplify]: Simplify (* 1 1) into 1
2.392 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
2.392 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.392 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
2.393 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
2.393 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
2.393 * [taylor]: Taking taylor expansion of 1/4 in U
2.393 * [backup-simplify]: Simplify 1/4 into 1/4
2.393 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
2.393 * [taylor]: Taking taylor expansion of (pow U 2) in U
2.393 * [taylor]: Taking taylor expansion of U in U
2.393 * [backup-simplify]: Simplify 0 into 0
2.393 * [backup-simplify]: Simplify 1 into 1
2.393 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
2.393 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
2.393 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
2.393 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
2.393 * [taylor]: Taking taylor expansion of 1/2 in U
2.393 * [backup-simplify]: Simplify 1/2 into 1/2
2.393 * [taylor]: Taking taylor expansion of K in U
2.393 * [backup-simplify]: Simplify K into K
2.393 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
2.393 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
2.393 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
2.393 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
2.393 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
2.394 * [backup-simplify]: Simplify (- 0) into 0
2.394 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
2.394 * [taylor]: Taking taylor expansion of (pow J 2) in U
2.394 * [taylor]: Taking taylor expansion of J in U
2.394 * [backup-simplify]: Simplify J into J
2.394 * [backup-simplify]: Simplify (* 1 1) into 1
2.394 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
2.394 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.395 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
2.395 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
2.395 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
2.396 * [taylor]: Taking taylor expansion of (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
2.396 * [taylor]: Taking taylor expansion of 1/4 in J
2.396 * [backup-simplify]: Simplify 1/4 into 1/4
2.396 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
2.396 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
2.396 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
2.396 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
2.396 * [taylor]: Taking taylor expansion of 1/2 in J
2.396 * [backup-simplify]: Simplify 1/2 into 1/2
2.396 * [taylor]: Taking taylor expansion of K in J
2.396 * [backup-simplify]: Simplify K into K
2.396 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
2.396 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
2.396 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
2.396 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
2.396 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
2.397 * [backup-simplify]: Simplify (- 0) into 0
2.397 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
2.397 * [taylor]: Taking taylor expansion of (pow J 2) in J
2.397 * [taylor]: Taking taylor expansion of J in J
2.397 * [backup-simplify]: Simplify 0 into 0
2.397 * [backup-simplify]: Simplify 1 into 1
2.397 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
2.398 * [backup-simplify]: Simplify (* 1 1) into 1
2.398 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
2.398 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (* 1/2 K)) 2)) into (/ 1/4 (pow (cos (* 1/2 K)) 2))
2.398 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (* 1/2 K)) 2)) in K
2.398 * [taylor]: Taking taylor expansion of 1/4 in K
2.398 * [backup-simplify]: Simplify 1/4 into 1/4
2.398 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
2.398 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
2.398 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
2.398 * [taylor]: Taking taylor expansion of 1/2 in K
2.398 * [backup-simplify]: Simplify 1/2 into 1/2
2.398 * [taylor]: Taking taylor expansion of K in K
2.398 * [backup-simplify]: Simplify 0 into 0
2.398 * [backup-simplify]: Simplify 1 into 1
2.399 * [backup-simplify]: Simplify (* 1/2 0) into 0
2.399 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
2.400 * [backup-simplify]: Simplify (* 1 1) into 1
2.400 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4
2.400 * [backup-simplify]: Simplify 1/4 into 1/4
2.401 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.401 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
2.404 * [backup-simplify]: Simplify (+ 0) into 0
2.404 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
2.405 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
2.405 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.406 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
2.406 * [backup-simplify]: Simplify (- 0) into 0
2.406 * [backup-simplify]: Simplify (+ 0 0) into 0
2.407 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
2.407 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0
2.407 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
2.408 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0
2.408 * [taylor]: Taking taylor expansion of 0 in J
2.408 * [backup-simplify]: Simplify 0 into 0
2.409 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.409 * [backup-simplify]: Simplify (+ 0) into 0
2.409 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
2.410 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
2.411 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.411 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
2.411 * [backup-simplify]: Simplify (- 0) into 0
2.412 * [backup-simplify]: Simplify (+ 0 0) into 0
2.412 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
2.412 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
2.413 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
2.413 * [taylor]: Taking taylor expansion of 0 in K
2.413 * [backup-simplify]: Simplify 0 into 0
2.413 * [backup-simplify]: Simplify 0 into 0
2.413 * [backup-simplify]: Simplify (+ 0) into 0
2.414 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.415 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0
2.415 * [backup-simplify]: Simplify 0 into 0
2.416 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.416 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
2.417 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.418 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
2.419 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
2.419 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.420 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
2.420 * [backup-simplify]: Simplify (- 0) into 0
2.421 * [backup-simplify]: Simplify (+ 0 0) into 0
2.421 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0
2.422 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 (pow J 2)))) into 0
2.422 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
2.423 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
2.423 * [taylor]: Taking taylor expansion of 0 in J
2.423 * [backup-simplify]: Simplify 0 into 0
2.424 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.425 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.426 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
2.427 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
2.427 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.428 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
2.428 * [backup-simplify]: Simplify (- 0) into 0
2.429 * [backup-simplify]: Simplify (+ 0 0) into 0
2.429 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0
2.430 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
2.430 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
2.430 * [taylor]: Taking taylor expansion of 0 in K
2.430 * [backup-simplify]: Simplify 0 into 0
2.430 * [backup-simplify]: Simplify 0 into 0
2.431 * [backup-simplify]: Simplify 0 into 0
2.432 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8
2.433 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (* -1/8 1))) into -1/4
2.434 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ -1/4 1)) (* 0 (/ 0 1)))) into 1/16
2.434 * [backup-simplify]: Simplify 1/16 into 1/16
2.435 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.436 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
2.437 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
2.437 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.439 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0
2.440 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
2.441 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
2.442 * [backup-simplify]: Simplify (- 0) into 0
2.442 * [backup-simplify]: Simplify (+ 0 0) into 0
2.443 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0
2.444 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2))))) into 0
2.445 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
2.446 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) into 0
2.446 * [taylor]: Taking taylor expansion of 0 in J
2.446 * [backup-simplify]: Simplify 0 into 0
2.447 * [taylor]: Taking taylor expansion of 0 in K
2.447 * [backup-simplify]: Simplify 0 into 0
2.447 * [backup-simplify]: Simplify 0 into 0
2.448 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.448 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
2.449 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.450 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0
2.452 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
2.452 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
2.453 * [backup-simplify]: Simplify (- 0) into 0
2.453 * [backup-simplify]: Simplify (+ 0 0) into 0
2.454 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0
2.455 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.455 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
2.455 * [taylor]: Taking taylor expansion of 0 in K
2.455 * [backup-simplify]: Simplify 0 into 0
2.455 * [backup-simplify]: Simplify 0 into 0
2.455 * [backup-simplify]: Simplify 0 into 0
2.455 * [backup-simplify]: Simplify 0 into 0
2.456 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
2.457 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0
2.459 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/8) (+ (* -1/8 0) (* 0 1)))) into 0
2.460 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ -1/4 1)) (* 1/16 (/ 0 1)))) into 0
2.460 * [backup-simplify]: Simplify 0 into 0
2.461 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.463 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 J))))) into 0
2.465 * [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
2.466 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.467 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0
2.469 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
2.469 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
2.470 * [backup-simplify]: Simplify (- 0) into 0
2.470 * [backup-simplify]: Simplify (+ 0 0) into 0
2.471 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))))) into 0
2.472 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2)))))) into 0
2.473 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
2.474 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))))) into 0
2.474 * [taylor]: Taking taylor expansion of 0 in J
2.474 * [backup-simplify]: Simplify 0 into 0
2.474 * [taylor]: Taking taylor expansion of 0 in K
2.474 * [backup-simplify]: Simplify 0 into 0
2.474 * [backup-simplify]: Simplify 0 into 0
2.474 * [backup-simplify]: Simplify (+ (* 1/16 (pow (* K (* (/ 1 J) U)) 2)) (* 1/4 (pow (* 1 (* (/ 1 J) U)) 2))) into (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))
2.475 * [backup-simplify]: Simplify (* (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))
2.475 * [approximate]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in (U J K) around 0
2.475 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
2.475 * [taylor]: Taking taylor expansion of 1/4 in K
2.475 * [backup-simplify]: Simplify 1/4 into 1/4
2.475 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
2.475 * [taylor]: Taking taylor expansion of (pow J 2) in K
2.475 * [taylor]: Taking taylor expansion of J in K
2.475 * [backup-simplify]: Simplify J into J
2.475 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
2.475 * [taylor]: Taking taylor expansion of (pow U 2) in K
2.475 * [taylor]: Taking taylor expansion of U in K
2.475 * [backup-simplify]: Simplify U into U
2.475 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
2.475 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
2.475 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
2.475 * [taylor]: Taking taylor expansion of 1/2 in K
2.475 * [backup-simplify]: Simplify 1/2 into 1/2
2.475 * [taylor]: Taking taylor expansion of K in K
2.475 * [backup-simplify]: Simplify 0 into 0
2.475 * [backup-simplify]: Simplify 1 into 1
2.476 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.476 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.476 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.476 * [backup-simplify]: Simplify (* U U) into (pow U 2)
2.476 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
2.476 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
2.476 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
2.476 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
2.476 * [taylor]: Taking taylor expansion of 1/4 in J
2.476 * [backup-simplify]: Simplify 1/4 into 1/4
2.476 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
2.476 * [taylor]: Taking taylor expansion of (pow J 2) in J
2.476 * [taylor]: Taking taylor expansion of J in J
2.476 * [backup-simplify]: Simplify 0 into 0
2.476 * [backup-simplify]: Simplify 1 into 1
2.476 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
2.476 * [taylor]: Taking taylor expansion of (pow U 2) in J
2.476 * [taylor]: Taking taylor expansion of U in J
2.476 * [backup-simplify]: Simplify U into U
2.476 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
2.476 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
2.476 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
2.476 * [taylor]: Taking taylor expansion of 1/2 in J
2.476 * [backup-simplify]: Simplify 1/2 into 1/2
2.476 * [taylor]: Taking taylor expansion of K in J
2.476 * [backup-simplify]: Simplify K into K
2.476 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
2.476 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.476 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
2.477 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.477 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
2.477 * [backup-simplify]: Simplify (- 0) into 0
2.477 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
2.477 * [backup-simplify]: Simplify (* 1 1) into 1
2.477 * [backup-simplify]: Simplify (* U U) into (pow U 2)
2.477 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
2.477 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
2.478 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
2.478 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
2.478 * [taylor]: Taking taylor expansion of 1/4 in U
2.478 * [backup-simplify]: Simplify 1/4 into 1/4
2.478 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
2.478 * [taylor]: Taking taylor expansion of (pow J 2) in U
2.478 * [taylor]: Taking taylor expansion of J in U
2.478 * [backup-simplify]: Simplify J into J
2.478 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
2.478 * [taylor]: Taking taylor expansion of (pow U 2) in U
2.478 * [taylor]: Taking taylor expansion of U in U
2.478 * [backup-simplify]: Simplify 0 into 0
2.478 * [backup-simplify]: Simplify 1 into 1
2.478 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
2.478 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
2.478 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
2.478 * [taylor]: Taking taylor expansion of 1/2 in U
2.478 * [backup-simplify]: Simplify 1/2 into 1/2
2.478 * [taylor]: Taking taylor expansion of K in U
2.478 * [backup-simplify]: Simplify K into K
2.478 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
2.478 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.478 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
2.478 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.478 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
2.478 * [backup-simplify]: Simplify (- 0) into 0
2.479 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
2.479 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.479 * [backup-simplify]: Simplify (* 1 1) into 1
2.479 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
2.479 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
2.479 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
2.479 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
2.479 * [taylor]: Taking taylor expansion of 1/4 in U
2.479 * [backup-simplify]: Simplify 1/4 into 1/4
2.479 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
2.479 * [taylor]: Taking taylor expansion of (pow J 2) in U
2.479 * [taylor]: Taking taylor expansion of J in U
2.479 * [backup-simplify]: Simplify J into J
2.479 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
2.479 * [taylor]: Taking taylor expansion of (pow U 2) in U
2.479 * [taylor]: Taking taylor expansion of U in U
2.479 * [backup-simplify]: Simplify 0 into 0
2.479 * [backup-simplify]: Simplify 1 into 1
2.479 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
2.479 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
2.479 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
2.479 * [taylor]: Taking taylor expansion of 1/2 in U
2.479 * [backup-simplify]: Simplify 1/2 into 1/2
2.479 * [taylor]: Taking taylor expansion of K in U
2.479 * [backup-simplify]: Simplify K into K
2.479 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
2.479 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.479 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
2.480 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.480 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
2.480 * [backup-simplify]: Simplify (- 0) into 0
2.480 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
2.480 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.480 * [backup-simplify]: Simplify (* 1 1) into 1
2.480 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
2.480 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
2.480 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
2.481 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
2.481 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J
2.481 * [taylor]: Taking taylor expansion of 1/4 in J
2.481 * [backup-simplify]: Simplify 1/4 into 1/4
2.481 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J
2.481 * [taylor]: Taking taylor expansion of (pow J 2) in J
2.481 * [taylor]: Taking taylor expansion of J in J
2.481 * [backup-simplify]: Simplify 0 into 0
2.481 * [backup-simplify]: Simplify 1 into 1
2.481 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
2.481 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
2.481 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
2.481 * [taylor]: Taking taylor expansion of 1/2 in J
2.481 * [backup-simplify]: Simplify 1/2 into 1/2
2.481 * [taylor]: Taking taylor expansion of K in J
2.481 * [backup-simplify]: Simplify K into K
2.481 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
2.481 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.481 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
2.481 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.481 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
2.481 * [backup-simplify]: Simplify (- 0) into 0
2.481 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
2.482 * [backup-simplify]: Simplify (* 1 1) into 1
2.482 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
2.482 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2))
2.482 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2))
2.482 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ 1/2 K)) 2)) in K
2.482 * [taylor]: Taking taylor expansion of 1/4 in K
2.482 * [backup-simplify]: Simplify 1/4 into 1/4
2.482 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
2.482 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
2.482 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
2.482 * [taylor]: Taking taylor expansion of 1/2 in K
2.482 * [backup-simplify]: Simplify 1/2 into 1/2
2.482 * [taylor]: Taking taylor expansion of K in K
2.482 * [backup-simplify]: Simplify 0 into 0
2.482 * [backup-simplify]: Simplify 1 into 1
2.482 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.482 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.483 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
2.483 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2))
2.483 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2))
2.483 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
2.483 * [backup-simplify]: Simplify (+ 0) into 0
2.484 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
2.484 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
2.484 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.484 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
2.485 * [backup-simplify]: Simplify (- 0) into 0
2.485 * [backup-simplify]: Simplify (+ 0 0) into 0
2.485 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
2.485 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.486 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
2.486 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
2.486 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
2.486 * [taylor]: Taking taylor expansion of 0 in J
2.486 * [backup-simplify]: Simplify 0 into 0
2.486 * [taylor]: Taking taylor expansion of 0 in K
2.486 * [backup-simplify]: Simplify 0 into 0
2.486 * [backup-simplify]: Simplify 0 into 0
2.487 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.487 * [backup-simplify]: Simplify (+ 0) into 0
2.487 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
2.487 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
2.488 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.488 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
2.488 * [backup-simplify]: Simplify (- 0) into 0
2.489 * [backup-simplify]: Simplify (+ 0 0) into 0
2.489 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
2.489 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
2.489 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0
2.489 * [taylor]: Taking taylor expansion of 0 in K
2.489 * [backup-simplify]: Simplify 0 into 0
2.489 * [backup-simplify]: Simplify 0 into 0
2.490 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
2.490 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
2.490 * [backup-simplify]: Simplify 0 into 0
2.490 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
2.491 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.491 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
2.491 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
2.492 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.492 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
2.492 * [backup-simplify]: Simplify (- 0) into 0
2.492 * [backup-simplify]: Simplify (+ 0 0) into 0
2.493 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
2.493 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.494 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
2.494 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
2.495 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0
2.495 * [taylor]: Taking taylor expansion of 0 in J
2.495 * [backup-simplify]: Simplify 0 into 0
2.495 * [taylor]: Taking taylor expansion of 0 in K
2.495 * [backup-simplify]: Simplify 0 into 0
2.495 * [backup-simplify]: Simplify 0 into 0
2.495 * [taylor]: Taking taylor expansion of 0 in K
2.495 * [backup-simplify]: Simplify 0 into 0
2.495 * [backup-simplify]: Simplify 0 into 0
2.495 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.496 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.496 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
2.497 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
2.497 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.497 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
2.498 * [backup-simplify]: Simplify (- 0) into 0
2.498 * [backup-simplify]: Simplify (+ 0 0) into 0
2.498 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
2.498 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
2.499 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0
2.499 * [taylor]: Taking taylor expansion of 0 in K
2.499 * [backup-simplify]: Simplify 0 into 0
2.499 * [backup-simplify]: Simplify 0 into 0
2.499 * [backup-simplify]: Simplify (* (/ 1/4 (pow (cos (/ 1/2 (/ 1 K))) 2)) (pow (* 1 (* (/ 1 J) (/ 1 (/ 1 U)))) 2)) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
2.499 * [backup-simplify]: Simplify (* (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
2.499 * [approximate]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in (U J K) around 0
2.500 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
2.500 * [taylor]: Taking taylor expansion of 1/4 in K
2.500 * [backup-simplify]: Simplify 1/4 into 1/4
2.500 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
2.500 * [taylor]: Taking taylor expansion of (pow J 2) in K
2.500 * [taylor]: Taking taylor expansion of J in K
2.500 * [backup-simplify]: Simplify J into J
2.500 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
2.500 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
2.500 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
2.500 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
2.500 * [taylor]: Taking taylor expansion of -1/2 in K
2.500 * [backup-simplify]: Simplify -1/2 into -1/2
2.500 * [taylor]: Taking taylor expansion of K in K
2.500 * [backup-simplify]: Simplify 0 into 0
2.500 * [backup-simplify]: Simplify 1 into 1
2.500 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
2.500 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.500 * [taylor]: Taking taylor expansion of (pow U 2) in K
2.500 * [taylor]: Taking taylor expansion of U in K
2.500 * [backup-simplify]: Simplify U into U
2.500 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.500 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
2.500 * [backup-simplify]: Simplify (* U U) into (pow U 2)
2.500 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
2.500 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
2.501 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
2.501 * [taylor]: Taking taylor expansion of 1/4 in J
2.501 * [backup-simplify]: Simplify 1/4 into 1/4
2.501 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
2.501 * [taylor]: Taking taylor expansion of (pow J 2) in J
2.501 * [taylor]: Taking taylor expansion of J in J
2.501 * [backup-simplify]: Simplify 0 into 0
2.501 * [backup-simplify]: Simplify 1 into 1
2.501 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
2.501 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
2.501 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
2.501 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
2.501 * [taylor]: Taking taylor expansion of -1/2 in J
2.501 * [backup-simplify]: Simplify -1/2 into -1/2
2.501 * [taylor]: Taking taylor expansion of K in J
2.501 * [backup-simplify]: Simplify K into K
2.501 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
2.501 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.501 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
2.501 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.501 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
2.501 * [backup-simplify]: Simplify (- 0) into 0
2.501 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
2.501 * [taylor]: Taking taylor expansion of (pow U 2) in J
2.501 * [taylor]: Taking taylor expansion of U in J
2.501 * [backup-simplify]: Simplify U into U
2.502 * [backup-simplify]: Simplify (* 1 1) into 1
2.502 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
2.502 * [backup-simplify]: Simplify (* U U) into (pow U 2)
2.502 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
2.502 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
2.502 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
2.502 * [taylor]: Taking taylor expansion of 1/4 in U
2.502 * [backup-simplify]: Simplify 1/4 into 1/4
2.502 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
2.502 * [taylor]: Taking taylor expansion of (pow J 2) in U
2.502 * [taylor]: Taking taylor expansion of J in U
2.502 * [backup-simplify]: Simplify J into J
2.502 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
2.502 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
2.502 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
2.502 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
2.502 * [taylor]: Taking taylor expansion of -1/2 in U
2.502 * [backup-simplify]: Simplify -1/2 into -1/2
2.502 * [taylor]: Taking taylor expansion of K in U
2.502 * [backup-simplify]: Simplify K into K
2.502 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
2.502 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.502 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
2.502 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.502 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
2.503 * [backup-simplify]: Simplify (- 0) into 0
2.503 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
2.503 * [taylor]: Taking taylor expansion of (pow U 2) in U
2.503 * [taylor]: Taking taylor expansion of U in U
2.503 * [backup-simplify]: Simplify 0 into 0
2.503 * [backup-simplify]: Simplify 1 into 1
2.503 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.503 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
2.503 * [backup-simplify]: Simplify (* 1 1) into 1
2.503 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
2.503 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
2.503 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
2.503 * [taylor]: Taking taylor expansion of 1/4 in U
2.503 * [backup-simplify]: Simplify 1/4 into 1/4
2.503 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
2.503 * [taylor]: Taking taylor expansion of (pow J 2) in U
2.503 * [taylor]: Taking taylor expansion of J in U
2.503 * [backup-simplify]: Simplify J into J
2.503 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
2.503 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
2.503 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
2.503 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
2.503 * [taylor]: Taking taylor expansion of -1/2 in U
2.503 * [backup-simplify]: Simplify -1/2 into -1/2
2.503 * [taylor]: Taking taylor expansion of K in U
2.504 * [backup-simplify]: Simplify K into K
2.504 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
2.504 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.504 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
2.504 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.504 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
2.504 * [backup-simplify]: Simplify (- 0) into 0
2.504 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
2.504 * [taylor]: Taking taylor expansion of (pow U 2) in U
2.504 * [taylor]: Taking taylor expansion of U in U
2.504 * [backup-simplify]: Simplify 0 into 0
2.504 * [backup-simplify]: Simplify 1 into 1
2.504 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.505 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
2.505 * [backup-simplify]: Simplify (* 1 1) into 1
2.505 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
2.505 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
2.506 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
2.506 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J
2.506 * [taylor]: Taking taylor expansion of 1/4 in J
2.506 * [backup-simplify]: Simplify 1/4 into 1/4
2.506 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J
2.506 * [taylor]: Taking taylor expansion of (pow J 2) in J
2.506 * [taylor]: Taking taylor expansion of J in J
2.506 * [backup-simplify]: Simplify 0 into 0
2.506 * [backup-simplify]: Simplify 1 into 1
2.506 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
2.506 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
2.506 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
2.506 * [taylor]: Taking taylor expansion of -1/2 in J
2.506 * [backup-simplify]: Simplify -1/2 into -1/2
2.506 * [taylor]: Taking taylor expansion of K in J
2.506 * [backup-simplify]: Simplify K into K
2.506 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
2.506 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.506 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
2.506 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.506 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
2.507 * [backup-simplify]: Simplify (- 0) into 0
2.507 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
2.507 * [backup-simplify]: Simplify (* 1 1) into 1
2.507 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
2.508 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2))
2.508 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2))
2.508 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ -1/2 K)) 2)) in K
2.508 * [taylor]: Taking taylor expansion of 1/4 in K
2.508 * [backup-simplify]: Simplify 1/4 into 1/4
2.508 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
2.508 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
2.508 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
2.508 * [taylor]: Taking taylor expansion of -1/2 in K
2.508 * [backup-simplify]: Simplify -1/2 into -1/2
2.508 * [taylor]: Taking taylor expansion of K in K
2.508 * [backup-simplify]: Simplify 0 into 0
2.508 * [backup-simplify]: Simplify 1 into 1
2.509 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
2.509 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.509 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
2.509 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2))
2.509 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2))
2.509 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
2.510 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.510 * [backup-simplify]: Simplify (+ 0) into 0
2.511 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
2.511 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
2.512 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.512 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
2.513 * [backup-simplify]: Simplify (- 0) into 0
2.513 * [backup-simplify]: Simplify (+ 0 0) into 0
2.513 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
2.514 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
2.514 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
2.515 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
2.515 * [taylor]: Taking taylor expansion of 0 in J
2.515 * [backup-simplify]: Simplify 0 into 0
2.515 * [taylor]: Taking taylor expansion of 0 in K
2.515 * [backup-simplify]: Simplify 0 into 0
2.515 * [backup-simplify]: Simplify 0 into 0
2.516 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.516 * [backup-simplify]: Simplify (+ 0) into 0
2.517 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
2.517 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
2.518 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.518 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
2.519 * [backup-simplify]: Simplify (- 0) into 0
2.519 * [backup-simplify]: Simplify (+ 0 0) into 0
2.519 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
2.520 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
2.520 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0
2.520 * [taylor]: Taking taylor expansion of 0 in K
2.520 * [backup-simplify]: Simplify 0 into 0
2.520 * [backup-simplify]: Simplify 0 into 0
2.520 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
2.521 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
2.521 * [backup-simplify]: Simplify 0 into 0
2.521 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
2.523 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.524 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.525 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
2.525 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
2.526 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.526 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
2.527 * [backup-simplify]: Simplify (- 0) into 0
2.529 * [backup-simplify]: Simplify (+ 0 0) into 0
2.530 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
2.531 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
2.532 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
2.533 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0
2.533 * [taylor]: Taking taylor expansion of 0 in J
2.533 * [backup-simplify]: Simplify 0 into 0
2.533 * [taylor]: Taking taylor expansion of 0 in K
2.533 * [backup-simplify]: Simplify 0 into 0
2.533 * [backup-simplify]: Simplify 0 into 0
2.533 * [taylor]: Taking taylor expansion of 0 in K
2.533 * [backup-simplify]: Simplify 0 into 0
2.533 * [backup-simplify]: Simplify 0 into 0
2.534 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.535 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.536 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
2.536 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
2.537 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.538 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
2.538 * [backup-simplify]: Simplify (- 0) into 0
2.539 * [backup-simplify]: Simplify (+ 0 0) into 0
2.539 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
2.540 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
2.541 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0
2.541 * [taylor]: Taking taylor expansion of 0 in K
2.541 * [backup-simplify]: Simplify 0 into 0
2.541 * [backup-simplify]: Simplify 0 into 0
2.541 * [backup-simplify]: Simplify (* (/ 1/4 (pow (cos (/ -1/2 (/ 1 (- K)))) 2)) (pow (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U))))) 2)) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
2.541 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 2 2)
2.542 * [backup-simplify]: Simplify (* (* J 2) (cos (/ K 2))) into (* 2 (* (cos (* 1/2 K)) J))
2.542 * [approximate]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in (J K) around 0
2.542 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in K
2.542 * [taylor]: Taking taylor expansion of 2 in K
2.542 * [backup-simplify]: Simplify 2 into 2
2.542 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K
2.542 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
2.542 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
2.542 * [taylor]: Taking taylor expansion of 1/2 in K
2.542 * [backup-simplify]: Simplify 1/2 into 1/2
2.542 * [taylor]: Taking taylor expansion of K in K
2.542 * [backup-simplify]: Simplify 0 into 0
2.542 * [backup-simplify]: Simplify 1 into 1
2.542 * [backup-simplify]: Simplify (* 1/2 0) into 0
2.543 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
2.543 * [taylor]: Taking taylor expansion of J in K
2.543 * [backup-simplify]: Simplify J into J
2.543 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in J
2.543 * [taylor]: Taking taylor expansion of 2 in J
2.543 * [backup-simplify]: Simplify 2 into 2
2.543 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J
2.543 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
2.543 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
2.544 * [taylor]: Taking taylor expansion of 1/2 in J
2.544 * [backup-simplify]: Simplify 1/2 into 1/2
2.544 * [taylor]: Taking taylor expansion of K in J
2.544 * [backup-simplify]: Simplify K into K
2.544 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
2.544 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
2.544 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
2.544 * [taylor]: Taking taylor expansion of J in J
2.544 * [backup-simplify]: Simplify 0 into 0
2.544 * [backup-simplify]: Simplify 1 into 1
2.544 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in J
2.544 * [taylor]: Taking taylor expansion of 2 in J
2.544 * [backup-simplify]: Simplify 2 into 2
2.544 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J
2.545 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
2.545 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
2.545 * [taylor]: Taking taylor expansion of 1/2 in J
2.545 * [backup-simplify]: Simplify 1/2 into 1/2
2.545 * [taylor]: Taking taylor expansion of K in J
2.545 * [backup-simplify]: Simplify K into K
2.545 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
2.545 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
2.545 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
2.545 * [taylor]: Taking taylor expansion of J in J
2.545 * [backup-simplify]: Simplify 0 into 0
2.545 * [backup-simplify]: Simplify 1 into 1
2.545 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
2.546 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
2.546 * [backup-simplify]: Simplify (- 0) into 0
2.546 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
2.546 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0
2.547 * [backup-simplify]: Simplify (* 2 0) into 0
2.547 * [taylor]: Taking taylor expansion of 0 in K
2.547 * [backup-simplify]: Simplify 0 into 0
2.547 * [backup-simplify]: Simplify 0 into 0
2.547 * [backup-simplify]: Simplify (+ 0) into 0
2.548 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
2.548 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
2.549 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.549 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
2.549 * [backup-simplify]: Simplify (- 0) into 0
2.549 * [backup-simplify]: Simplify (+ 0 0) into 0
2.550 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K))
2.550 * [backup-simplify]: Simplify (+ (* 2 (cos (* 1/2 K))) (* 0 0)) into (* 2 (cos (* 1/2 K)))
2.550 * [taylor]: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K
2.550 * [taylor]: Taking taylor expansion of 2 in K
2.550 * [backup-simplify]: Simplify 2 into 2
2.550 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
2.550 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
2.550 * [taylor]: Taking taylor expansion of 1/2 in K
2.550 * [backup-simplify]: Simplify 1/2 into 1/2
2.550 * [taylor]: Taking taylor expansion of K in K
2.550 * [backup-simplify]: Simplify 0 into 0
2.550 * [backup-simplify]: Simplify 1 into 1
2.550 * [backup-simplify]: Simplify (* 1/2 0) into 0
2.551 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
2.551 * [backup-simplify]: Simplify (* 2 1) into 2
2.551 * [backup-simplify]: Simplify 2 into 2
2.551 * [backup-simplify]: Simplify 0 into 0
2.552 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.552 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
2.553 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
2.553 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.554 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
2.554 * [backup-simplify]: Simplify (- 0) into 0
2.554 * [backup-simplify]: Simplify (+ 0 0) into 0
2.554 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0
2.555 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0))) into 0
2.555 * [taylor]: Taking taylor expansion of 0 in K
2.555 * [backup-simplify]: Simplify 0 into 0
2.555 * [backup-simplify]: Simplify 0 into 0
2.555 * [backup-simplify]: Simplify (+ 0) into 0
2.556 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
2.556 * [backup-simplify]: Simplify 0 into 0
2.556 * [backup-simplify]: Simplify 0 into 0
2.556 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
2.557 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.557 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0
2.558 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
2.559 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
2.559 * [backup-simplify]: Simplify (- 0) into 0
2.559 * [backup-simplify]: Simplify (+ 0 0) into 0
2.560 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
2.560 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0)))) into 0
2.561 * [taylor]: Taking taylor expansion of 0 in K
2.561 * [backup-simplify]: Simplify 0 into 0
2.561 * [backup-simplify]: Simplify 0 into 0
2.561 * [backup-simplify]: Simplify 0 into 0
2.561 * [backup-simplify]: Simplify (* 2 (* 1 J)) into (* 2 J)
2.561 * [backup-simplify]: Simplify (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))) into (* 2 (/ (cos (/ 1/2 K)) J))
2.561 * [approximate]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in (J K) around 0
2.561 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in K
2.561 * [taylor]: Taking taylor expansion of 2 in K
2.561 * [backup-simplify]: Simplify 2 into 2
2.561 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K
2.561 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
2.561 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
2.561 * [taylor]: Taking taylor expansion of 1/2 in K
2.561 * [backup-simplify]: Simplify 1/2 into 1/2
2.561 * [taylor]: Taking taylor expansion of K in K
2.561 * [backup-simplify]: Simplify 0 into 0
2.561 * [backup-simplify]: Simplify 1 into 1
2.561 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.561 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.561 * [taylor]: Taking taylor expansion of J in K
2.561 * [backup-simplify]: Simplify J into J
2.561 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
2.561 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in J
2.561 * [taylor]: Taking taylor expansion of 2 in J
2.561 * [backup-simplify]: Simplify 2 into 2
2.561 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
2.561 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
2.561 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
2.561 * [taylor]: Taking taylor expansion of 1/2 in J
2.561 * [backup-simplify]: Simplify 1/2 into 1/2
2.561 * [taylor]: Taking taylor expansion of K in J
2.562 * [backup-simplify]: Simplify K into K
2.562 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
2.562 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.562 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
2.562 * [taylor]: Taking taylor expansion of J in J
2.562 * [backup-simplify]: Simplify 0 into 0
2.562 * [backup-simplify]: Simplify 1 into 1
2.562 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.562 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
2.562 * [backup-simplify]: Simplify (- 0) into 0
2.562 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
2.562 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.562 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in J
2.562 * [taylor]: Taking taylor expansion of 2 in J
2.562 * [backup-simplify]: Simplify 2 into 2
2.562 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
2.562 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
2.562 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
2.562 * [taylor]: Taking taylor expansion of 1/2 in J
2.562 * [backup-simplify]: Simplify 1/2 into 1/2
2.562 * [taylor]: Taking taylor expansion of K in J
2.562 * [backup-simplify]: Simplify K into K
2.562 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
2.562 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.562 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
2.562 * [taylor]: Taking taylor expansion of J in J
2.562 * [backup-simplify]: Simplify 0 into 0
2.562 * [backup-simplify]: Simplify 1 into 1
2.562 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.563 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
2.563 * [backup-simplify]: Simplify (- 0) into 0
2.563 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
2.563 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.563 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K)))
2.563 * [taylor]: Taking taylor expansion of (* 2 (cos (/ 1/2 K))) in K
2.563 * [taylor]: Taking taylor expansion of 2 in K
2.563 * [backup-simplify]: Simplify 2 into 2
2.563 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
2.563 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
2.563 * [taylor]: Taking taylor expansion of 1/2 in K
2.563 * [backup-simplify]: Simplify 1/2 into 1/2
2.563 * [taylor]: Taking taylor expansion of K in K
2.563 * [backup-simplify]: Simplify 0 into 0
2.563 * [backup-simplify]: Simplify 1 into 1
2.563 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.563 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.564 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K)))
2.564 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K)))
2.564 * [backup-simplify]: Simplify (+ 0) into 0
2.564 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
2.564 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
2.565 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.565 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
2.565 * [backup-simplify]: Simplify (- 0) into 0
2.565 * [backup-simplify]: Simplify (+ 0 0) into 0
2.566 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0
2.566 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0
2.566 * [taylor]: Taking taylor expansion of 0 in K
2.566 * [backup-simplify]: Simplify 0 into 0
2.566 * [backup-simplify]: Simplify 0 into 0
2.567 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0
2.567 * [backup-simplify]: Simplify 0 into 0
2.567 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.568 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
2.568 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
2.568 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.569 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
2.569 * [backup-simplify]: Simplify (- 0) into 0
2.569 * [backup-simplify]: Simplify (+ 0 0) into 0
2.570 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.571 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
2.571 * [taylor]: Taking taylor expansion of 0 in K
2.571 * [backup-simplify]: Simplify 0 into 0
2.571 * [backup-simplify]: Simplify 0 into 0
2.571 * [backup-simplify]: Simplify 0 into 0
2.571 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
2.571 * [backup-simplify]: Simplify 0 into 0
2.572 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
2.572 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.572 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
2.573 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
2.574 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
2.574 * [backup-simplify]: Simplify (- 0) into 0
2.574 * [backup-simplify]: Simplify (+ 0 0) into 0
2.575 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.576 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
2.576 * [taylor]: Taking taylor expansion of 0 in K
2.576 * [backup-simplify]: Simplify 0 into 0
2.576 * [backup-simplify]: Simplify 0 into 0
2.576 * [backup-simplify]: Simplify (* (* 2 (cos (/ 1/2 (/ 1 K)))) (* 1 (/ 1 (/ 1 J)))) into (* 2 (* (cos (* 1/2 K)) J))
2.576 * [backup-simplify]: Simplify (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))) into (* -2 (/ (cos (/ -1/2 K)) J))
2.576 * [approximate]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in (J K) around 0
2.576 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in K
2.576 * [taylor]: Taking taylor expansion of -2 in K
2.576 * [backup-simplify]: Simplify -2 into -2
2.576 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K
2.576 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
2.576 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
2.576 * [taylor]: Taking taylor expansion of -1/2 in K
2.576 * [backup-simplify]: Simplify -1/2 into -1/2
2.576 * [taylor]: Taking taylor expansion of K in K
2.577 * [backup-simplify]: Simplify 0 into 0
2.577 * [backup-simplify]: Simplify 1 into 1
2.577 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
2.577 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.577 * [taylor]: Taking taylor expansion of J in K
2.577 * [backup-simplify]: Simplify J into J
2.577 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
2.577 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in J
2.577 * [taylor]: Taking taylor expansion of -2 in J
2.577 * [backup-simplify]: Simplify -2 into -2
2.577 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
2.577 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
2.577 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
2.577 * [taylor]: Taking taylor expansion of -1/2 in J
2.577 * [backup-simplify]: Simplify -1/2 into -1/2
2.577 * [taylor]: Taking taylor expansion of K in J
2.577 * [backup-simplify]: Simplify K into K
2.577 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
2.577 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.577 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
2.577 * [taylor]: Taking taylor expansion of J in J
2.577 * [backup-simplify]: Simplify 0 into 0
2.577 * [backup-simplify]: Simplify 1 into 1
2.577 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.577 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
2.578 * [backup-simplify]: Simplify (- 0) into 0
2.578 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
2.578 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.578 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in J
2.578 * [taylor]: Taking taylor expansion of -2 in J
2.578 * [backup-simplify]: Simplify -2 into -2
2.578 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
2.578 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
2.578 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
2.578 * [taylor]: Taking taylor expansion of -1/2 in J
2.578 * [backup-simplify]: Simplify -1/2 into -1/2
2.578 * [taylor]: Taking taylor expansion of K in J
2.578 * [backup-simplify]: Simplify K into K
2.578 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
2.578 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.578 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
2.578 * [taylor]: Taking taylor expansion of J in J
2.578 * [backup-simplify]: Simplify 0 into 0
2.578 * [backup-simplify]: Simplify 1 into 1
2.578 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.578 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
2.578 * [backup-simplify]: Simplify (- 0) into 0
2.578 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
2.578 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.579 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K)))
2.579 * [taylor]: Taking taylor expansion of (* -2 (cos (/ -1/2 K))) in K
2.579 * [taylor]: Taking taylor expansion of -2 in K
2.579 * [backup-simplify]: Simplify -2 into -2
2.579 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
2.579 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
2.579 * [taylor]: Taking taylor expansion of -1/2 in K
2.579 * [backup-simplify]: Simplify -1/2 into -1/2
2.579 * [taylor]: Taking taylor expansion of K in K
2.579 * [backup-simplify]: Simplify 0 into 0
2.579 * [backup-simplify]: Simplify 1 into 1
2.579 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
2.579 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.579 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K)))
2.579 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K)))
2.579 * [backup-simplify]: Simplify (+ 0) into 0
2.580 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
2.580 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
2.581 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.581 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
2.582 * [backup-simplify]: Simplify (- 0) into 0
2.582 * [backup-simplify]: Simplify (+ 0 0) into 0
2.583 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0
2.584 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0
2.584 * [taylor]: Taking taylor expansion of 0 in K
2.584 * [backup-simplify]: Simplify 0 into 0
2.584 * [backup-simplify]: Simplify 0 into 0
2.584 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0
2.584 * [backup-simplify]: Simplify 0 into 0
2.585 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.586 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
2.586 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
2.587 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.587 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
2.588 * [backup-simplify]: Simplify (- 0) into 0
2.588 * [backup-simplify]: Simplify (+ 0 0) into 0
2.589 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.590 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
2.590 * [taylor]: Taking taylor expansion of 0 in K
2.590 * [backup-simplify]: Simplify 0 into 0
2.590 * [backup-simplify]: Simplify 0 into 0
2.590 * [backup-simplify]: Simplify 0 into 0
2.591 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
2.591 * [backup-simplify]: Simplify 0 into 0
2.592 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
2.593 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.593 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
2.594 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
2.595 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
2.595 * [backup-simplify]: Simplify (- 0) into 0
2.596 * [backup-simplify]: Simplify (+ 0 0) into 0
2.597 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.598 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
2.598 * [taylor]: Taking taylor expansion of 0 in K
2.598 * [backup-simplify]: Simplify 0 into 0
2.599 * [backup-simplify]: Simplify 0 into 0
2.599 * [backup-simplify]: Simplify (* (* -2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (/ 1 (/ 1 (- J))))) into (* 2 (* (cos (* 1/2 K)) J))
2.599 * * * [progress]: simplifying candidates
2.599 * * * * [progress]: [ 1 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (pow (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) 1/2) (* (cos (/ K 2)) (* -2 J))))>
2.599 * * * * [progress]: [ 2 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (pow (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) 1) (* (cos (/ K 2)) (* -2 J))))>
2.599 * * * * [progress]: [ 3 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (exp (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J))))>
2.599 * * * * [progress]: [ 4 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (log (exp (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J))))>
2.599 * * * * [progress]: [ 5 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J))))>
2.599 * * * * [progress]: [ 6 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J))))>
2.599 * * * * [progress]: [ 7 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (* (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (sqrt (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J))))>
2.599 * * * * [progress]: [ 8 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J))))>
2.599 * * * * [progress]: [ 9 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt 1) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J))))>
2.599 * * * * [progress]: [ 10 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (/ (sqrt (+ (pow (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 3) (pow 1 3))) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (cos (/ K 2)) (* -2 J))))>
2.600 * * * * [progress]: [ 11 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (/ (sqrt (- (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* 1 1))) (sqrt (- (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J))))>
2.600 * * * * [progress]: [ 12 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (pow (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) (/ 1 2)) (* (cos (/ K 2)) (* -2 J))))>
2.600 * * * * [progress]: [ 13 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J))))>
2.600 * * * * [progress]: [ 14 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (fabs (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J))))>
2.600 * * * * [progress]: [ 15 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* 1 (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J))))>
2.600 * * * * [progress]: [ 16 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (posit16->real (real->posit16 (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J))))>
2.600 * * * * [progress]: [ 17 / 145 ] simplifiying candidate #<alt (λ (J K U) (pow (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))) 1))>
2.600 * * * * [progress]: [ 18 / 145 ] simplifiying candidate #<alt (λ (J K U) (pow (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))) 1))>
2.600 * * * * [progress]: [ 19 / 145 ] simplifiying candidate #<alt (λ (J K U) (pow (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))) 1))>
2.600 * * * * [progress]: [ 20 / 145 ] simplifiying candidate #<alt (λ (J K U) (pow (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))) 1))>
2.600 * * * * [progress]: [ 21 / 145 ] simplifiying candidate #<alt (λ (J K U) (exp (+ (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (+ (log (cos (/ K 2))) (+ (log -2) (log J))))))>
2.600 * * * * [progress]: [ 22 / 145 ] simplifiying candidate #<alt (λ (J K U) (exp (+ (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (+ (log (cos (/ K 2))) (log (* -2 J))))))>
2.600 * * * * [progress]: [ 23 / 145 ] simplifiying candidate #<alt (λ (J K U) (exp (+ (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (log (* (cos (/ K 2)) (* -2 J))))))>
2.600 * * * * [progress]: [ 24 / 145 ] simplifiying candidate #<alt (λ (J K U) (exp (log (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
2.600 * * * * [progress]: [ 25 / 145 ] simplifiying candidate #<alt (λ (J K U) (log (exp (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
2.601 * * * * [progress]: [ 26 / 145 ] simplifiying candidate #<alt (λ (J K U) (cbrt (* (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* -2 -2) -2) (* (* J J) J))))))>
2.601 * * * * [progress]: [ 27 / 145 ] simplifiying candidate #<alt (λ (J K U) (cbrt (* (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* -2 J) (* -2 J)) (* -2 J))))))>
2.601 * * * * [progress]: [ 28 / 145 ] simplifiying candidate #<alt (λ (J K U) (cbrt (* (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (* (cos (/ K 2)) (* -2 J)) (* (cos (/ K 2)) (* -2 J))) (* (cos (/ K 2)) (* -2 J))))))>
2.601 * * * * [progress]: [ 29 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
2.601 * * * * [progress]: [ 30 / 145 ] simplifiying candidate #<alt (λ (J K U) (cbrt (* (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
2.601 * * * * [progress]: [ 31 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (sqrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
2.601 * * * * [progress]: [ 32 / 145 ] simplifiying candidate #<alt (λ (J K U) (* 1 (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))))>
2.601 * * * * [progress]: [ 33 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))>
2.601 * * * * [progress]: [ 34 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))>
2.601 * * * * [progress]: [ 35 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (* (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (sqrt (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))>
2.601 * * * * [progress]: [ 36 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))>
2.601 * * * * [progress]: [ 37 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt 1) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))))>
2.601 * * * * [progress]: [ 38 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))>
2.602 * * * * [progress]: [ 39 / 145 ] simplifiying candidate #<alt (λ (J K U) (* 1 (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))))>
2.602 * * * * [progress]: [ 40 / 145 ] simplifiying candidate #<alt (λ (J K U) (/ (* (sqrt (+ (pow (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 3) (pow 1 3))) (* (cos (/ K 2)) (* -2 J))) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))>
2.602 * * * * [progress]: [ 41 / 145 ] simplifiying candidate #<alt (λ (J K U) (/ (* (sqrt (- (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* 1 1))) (* (cos (/ K 2)) (* -2 J))) (sqrt (- (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))>
2.602 * * * * [progress]: [ 42 / 145 ] simplifiying candidate #<alt (λ (J K U) (posit16->real (real->posit16 (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
2.602 * * * * [progress]: [ 43 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* (cos (/ K 2)) (* -2 J)) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))>
2.602 * * * * [progress]: [ 44 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (pow (/ U (* (* J 2) (cos (/ K 2)))) (+ 1 1)) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.602 * * * * [progress]: [ 45 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (pow (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.602 * * * * [progress]: [ 46 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (pow (/ U (* (* J 2) (cos (/ K 2)))) 2) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.602 * * * * [progress]: [ 47 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (pow (/ U (* (* J 2) (cos (/ K 2)))) (+ 1 1)) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.602 * * * * [progress]: [ 48 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (pow (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.602 * * * * [progress]: [ 49 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (exp (+ (- (log U) (+ (+ (log J) (log 2)) (log (cos (/ K 2))))) (- (log U) (+ (+ (log J) (log 2)) (log (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.602 * * * * [progress]: [ 50 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (exp (+ (- (log U) (+ (+ (log J) (log 2)) (log (cos (/ K 2))))) (- (log U) (+ (log (* J 2)) (log (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.602 * * * * [progress]: [ 51 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (exp (+ (- (log U) (+ (+ (log J) (log 2)) (log (cos (/ K 2))))) (- (log U) (log (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.602 * * * * [progress]: [ 52 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (exp (+ (- (log U) (+ (+ (log J) (log 2)) (log (cos (/ K 2))))) (log (/ U (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.602 * * * * [progress]: [ 53 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (exp (+ (- (log U) (+ (log (* J 2)) (log (cos (/ K 2))))) (- (log U) (+ (+ (log J) (log 2)) (log (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.603 * * * * [progress]: [ 54 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (exp (+ (- (log U) (+ (log (* J 2)) (log (cos (/ K 2))))) (- (log U) (+ (log (* J 2)) (log (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.603 * * * * [progress]: [ 55 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (exp (+ (- (log U) (+ (log (* J 2)) (log (cos (/ K 2))))) (- (log U) (log (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.603 * * * * [progress]: [ 56 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (exp (+ (- (log U) (+ (log (* J 2)) (log (cos (/ K 2))))) (log (/ U (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.603 * * * * [progress]: [ 57 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (exp (+ (- (log U) (log (* (* J 2) (cos (/ K 2))))) (- (log U) (+ (+ (log J) (log 2)) (log (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.603 * * * * [progress]: [ 58 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (exp (+ (- (log U) (log (* (* J 2) (cos (/ K 2))))) (- (log U) (+ (log (* J 2)) (log (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.603 * * * * [progress]: [ 59 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (exp (+ (- (log U) (log (* (* J 2) (cos (/ K 2))))) (- (log U) (log (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.603 * * * * [progress]: [ 60 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (exp (+ (- (log U) (log (* (* J 2) (cos (/ K 2))))) (log (/ U (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.603 * * * * [progress]: [ 61 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (exp (+ (log (/ U (* (* J 2) (cos (/ K 2))))) (- (log U) (+ (+ (log J) (log 2)) (log (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.603 * * * * [progress]: [ 62 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (exp (+ (log (/ U (* (* J 2) (cos (/ K 2))))) (- (log U) (+ (log (* J 2)) (log (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.603 * * * * [progress]: [ 63 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (exp (+ (log (/ U (* (* J 2) (cos (/ K 2))))) (- (log U) (log (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.603 * * * * [progress]: [ 64 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (exp (+ (log (/ U (* (* J 2) (cos (/ K 2))))) (log (/ U (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.603 * * * * [progress]: [ 65 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (exp (log (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.603 * * * * [progress]: [ 66 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (log (exp (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.604 * * * * [progress]: [ 67 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (cbrt (* (/ (* (* U U) U) (* (* (* (* J J) J) (* (* 2 2) 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* (* J J) J) (* (* 2 2) 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.604 * * * * [progress]: [ 68 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (cbrt (* (/ (* (* U U) U) (* (* (* (* J J) J) (* (* 2 2) 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* (* J 2) (* J 2)) (* J 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.604 * * * * [progress]: [ 69 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (cbrt (* (/ (* (* U U) U) (* (* (* (* J J) J) (* (* 2 2) 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.604 * * * * [progress]: [ 70 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (cbrt (* (/ (* (* U U) U) (* (* (* (* J J) J) (* (* 2 2) 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (/ U (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.604 * * * * [progress]: [ 71 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (cbrt (* (/ (* (* U U) U) (* (* (* (* J 2) (* J 2)) (* J 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* (* J J) J) (* (* 2 2) 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.604 * * * * [progress]: [ 72 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (cbrt (* (/ (* (* U U) U) (* (* (* (* J 2) (* J 2)) (* J 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* (* J 2) (* J 2)) (* J 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.604 * * * * [progress]: [ 73 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (cbrt (* (/ (* (* U U) U) (* (* (* (* J 2) (* J 2)) (* J 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.604 * * * * [progress]: [ 74 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (cbrt (* (/ (* (* U U) U) (* (* (* (* J 2) (* J 2)) (* J 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (/ U (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.604 * * * * [progress]: [ 75 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (cbrt (* (/ (* (* U U) U) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* J 2) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* (* J J) J) (* (* 2 2) 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.604 * * * * [progress]: [ 76 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (cbrt (* (/ (* (* U U) U) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* J 2) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* (* J 2) (* J 2)) (* J 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.604 * * * * [progress]: [ 77 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (cbrt (* (/ (* (* U U) U) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* J 2) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.605 * * * * [progress]: [ 78 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (cbrt (* (/ (* (* U U) U) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* J 2) (cos (/ K 2))))) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (/ U (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.605 * * * * [progress]: [ 79 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (cbrt (* (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (/ U (* (* J 2) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* (* J J) J) (* (* 2 2) 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.605 * * * * [progress]: [ 80 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (cbrt (* (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (/ U (* (* J 2) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* (* J 2) (* J 2)) (* J 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.605 * * * * [progress]: [ 81 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (cbrt (* (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (/ U (* (* J 2) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.605 * * * * [progress]: [ 82 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (cbrt (* (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (/ U (* (* J 2) (cos (/ K 2))))) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (/ U (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.605 * * * * [progress]: [ 83 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (* (cbrt (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (cbrt (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) (cbrt (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.605 * * * * [progress]: [ 84 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (cbrt (* (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.605 * * * * [progress]: [ 85 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (sqrt (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (sqrt (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.605 * * * * [progress]: [ 86 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (/ (* U U) (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.605 * * * * [progress]: [ 87 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.605 * * * * [progress]: [ 88 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (* (* (cbrt (/ U (* (* J 2) (cos (/ K 2))))) (cbrt (/ U (* (* J 2) (cos (/ K 2)))))) (* (cbrt (/ U (* (* J 2) (cos (/ K 2))))) (cbrt (/ U (* (* J 2) (cos (/ K 2))))))) (* (cbrt (/ U (* (* J 2) (cos (/ K 2))))) (cbrt (/ U (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.605 * * * * [progress]: [ 89 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (* (sqrt (/ U (* (* J 2) (cos (/ K 2))))) (sqrt (/ U (* (* J 2) (cos (/ K 2)))))) (* (sqrt (/ U (* (* J 2) (cos (/ K 2))))) (sqrt (/ U (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.605 * * * * [progress]: [ 90 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (* (/ (* (cbrt U) (cbrt U)) (* J 2)) (/ (* (cbrt U) (cbrt U)) (* J 2))) (* (/ (cbrt U) (cos (/ K 2))) (/ (cbrt U) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.606 * * * * [progress]: [ 91 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (* (/ (sqrt U) (* J 2)) (/ (sqrt U) (* J 2))) (* (/ (sqrt U) (cos (/ K 2))) (/ (sqrt U) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.606 * * * * [progress]: [ 92 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (* (/ 1 (* J 2)) (/ 1 (* J 2))) (* (/ U (cos (/ K 2))) (/ U (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.606 * * * * [progress]: [ 93 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (* 1 1) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.606 * * * * [progress]: [ 94 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (* U U) (* (/ 1 (* (* J 2) (cos (/ K 2)))) (/ 1 (* (* J 2) (cos (/ K 2)))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.606 * * * * [progress]: [ 95 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (* (sqrt (/ U (* (* J 2) (cos (/ K 2))))) (sqrt (/ U (* (* J 2) (cos (/ K 2)))))) (* (sqrt (/ U (* (* J 2) (cos (/ K 2))))) (sqrt (/ U (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.606 * * * * [progress]: [ 96 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (pow (/ U (* (* J 2) (cos (/ K 2)))) (* 2 1)) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.606 * * * * [progress]: [ 97 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (* (cbrt (/ U (* (* J 2) (cos (/ K 2))))) (cbrt (/ U (* (* J 2) (cos (/ K 2))))))) (cbrt (/ U (* (* J 2) (cos (/ K 2)))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.606 * * * * [progress]: [ 98 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (sqrt (/ U (* (* J 2) (cos (/ K 2)))))) (sqrt (/ U (* (* J 2) (cos (/ K 2)))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.606 * * * * [progress]: [ 99 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ (* (cbrt U) (cbrt U)) (* J 2))) (/ (cbrt U) (cos (/ K 2)))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.606 * * * * [progress]: [ 100 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ (sqrt U) (* J 2))) (/ (sqrt U) (cos (/ K 2)))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.606 * * * * [progress]: [ 101 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ 1 (* J 2))) (/ U (cos (/ K 2)))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.606 * * * * [progress]: [ 102 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) 1) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.606 * * * * [progress]: [ 103 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) U) (/ 1 (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.606 * * * * [progress]: [ 104 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (* (cbrt (/ U (* (* J 2) (cos (/ K 2))))) (cbrt (/ U (* (* J 2) (cos (/ K 2)))))) (* (cbrt (/ U (* (* J 2) (cos (/ K 2))))) (/ U (* (* J 2) (cos (/ K 2)))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.606 * * * * [progress]: [ 105 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (sqrt (/ U (* (* J 2) (cos (/ K 2))))) (* (sqrt (/ U (* (* J 2) (cos (/ K 2))))) (/ U (* (* J 2) (cos (/ K 2)))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.607 * * * * [progress]: [ 106 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ (* (cbrt U) (cbrt U)) (* J 2)) (* (/ (cbrt U) (cos (/ K 2))) (/ U (* (* J 2) (cos (/ K 2)))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.607 * * * * [progress]: [ 107 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ (sqrt U) (* J 2)) (* (/ (sqrt U) (cos (/ K 2))) (/ U (* (* J 2) (cos (/ K 2)))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.607 * * * * [progress]: [ 108 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ 1 (* J 2)) (* (/ U (cos (/ K 2))) (/ U (* (* J 2) (cos (/ K 2)))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.607 * * * * [progress]: [ 109 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.607 * * * * [progress]: [ 110 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* U (* (/ 1 (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.607 * * * * [progress]: [ 111 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (/ (* (/ U (* (* J 2) (cos (/ K 2)))) U) (* (* J 2) (cos (/ K 2)))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.607 * * * * [progress]: [ 112 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (/ (* U (/ U (* (* J 2) (cos (/ K 2))))) (* (* J 2) (cos (/ K 2)))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.607 * * * * [progress]: [ 113 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (posit16->real (real->posit16 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.607 * * * * [progress]: [ 114 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.607 * * * * [progress]: [ 115 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (pow (* (* J 2) (cos (/ K 2))) 1))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.607 * * * * [progress]: [ 116 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (pow (* (* J 2) (cos (/ K 2))) 1))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.607 * * * * [progress]: [ 117 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (pow (* (* J 2) (cos (/ K 2))) 1))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.607 * * * * [progress]: [ 118 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (exp (+ (+ (log J) (log 2)) (log (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.607 * * * * [progress]: [ 119 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (exp (+ (log (* J 2)) (log (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.607 * * * * [progress]: [ 120 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (exp (log (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.607 * * * * [progress]: [ 121 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (log (exp (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.608 * * * * [progress]: [ 122 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (cbrt (* (* (* (* J J) J) (* (* 2 2) 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.608 * * * * [progress]: [ 123 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (cbrt (* (* (* (* J 2) (* J 2)) (* J 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.608 * * * * [progress]: [ 124 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* (cbrt (* (* J 2) (cos (/ K 2)))) (cbrt (* (* J 2) (cos (/ K 2))))) (cbrt (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.608 * * * * [progress]: [ 125 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (cbrt (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.608 * * * * [progress]: [ 126 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (sqrt (* (* J 2) (cos (/ K 2)))) (sqrt (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.608 * * * * [progress]: [ 127 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 1 (* (* J 2) (cos (/ K 2)))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.608 * * * * [progress]: [ 128 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* (* J 2) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.608 * * * * [progress]: [ 129 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* (* J 2) (sqrt (cos (/ K 2)))) (sqrt (cos (/ K 2)))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.608 * * * * [progress]: [ 130 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* (* J 2) 1) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.608 * * * * [progress]: [ 131 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* J (* 2 (cos (/ K 2)))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.608 * * * * [progress]: [ 132 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (posit16->real (real->posit16 (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.608 * * * * [progress]: [ 133 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (cos (/ K 2)) (* J 2)))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.608 * * * * [progress]: [ 134 / 145 ] simplifiying candidate #<alt (λ (J K U) (* 1 (* (cos (/ K 2)) (* -2 J))))>
2.608 * * * * [progress]: [ 135 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* (cos (/ K 2)) (* -2 J))))>
2.608 * * * * [progress]: [ 136 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* (cos (/ K 2)) (* -2 J))))>
2.608 * * * * [progress]: [ 137 / 145 ] simplifiying candidate #<alt (λ (J K U) (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))))>
2.608 * * * * [progress]: [ 138 / 145 ] simplifiying candidate #<alt (λ (J K U) (* -1 U))>
2.609 * * * * [progress]: [ 139 / 145 ] simplifiying candidate #<alt (λ (J K U) (* -1 U))>
2.609 * * * * [progress]: [ 140 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2)))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.609 * * * * [progress]: [ 141 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.609 * * * * [progress]: [ 142 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.609 * * * * [progress]: [ 143 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 J))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.609 * * * * [progress]: [ 144 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.609 * * * * [progress]: [ 145 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) (* (cos (/ K 2)) (* -2 J))))>
2.611 * [simplify]: Simplifying:
  (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (exp (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))
  (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt (* (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))
  (sqrt (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt 1)
  (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))
  (sqrt (+ (pow (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 3) (pow 1 3)))
  (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))
  (sqrt (- (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* 1 1)))
  (sqrt (- (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))
  (/ 1 2)
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (real->posit16 (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))
  (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))
  (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))
  (+ (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (+ (log (cos (/ K 2))) (+ (log -2) (log J))))
  (+ (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (+ (log (cos (/ K 2))) (log (* -2 J))))
  (+ (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (log (* (cos (/ K 2)) (* -2 J))))
  (log (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))
  (exp (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))
  (* (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* -2 -2) -2) (* (* J J) J))))
  (* (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* -2 J) (* -2 J)) (* -2 J))))
  (* (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (* (cos (/ K 2)) (* -2 J)) (* (cos (/ K 2)) (* -2 J))) (* (cos (/ K 2)) (* -2 J))))
  (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))))
  (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))
  (* (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))
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  (* -1 U)
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2.618 * * [simplify]: iteration 1: (231 enodes)
2.722 * * [simplify]: iteration 2: (664 enodes)
3.281 * * [simplify]: Extracting #0: cost 86 inf + 0
3.284 * * [simplify]: Extracting #1: cost 704 inf + 3
3.296 * * [simplify]: Extracting #2: cost 1003 inf + 8560
3.312 * * [simplify]: Extracting #3: cost 861 inf + 30617
3.330 * * [simplify]: Extracting #4: cost 789 inf + 41332
3.362 * * [simplify]: Extracting #5: cost 554 inf + 106409
3.444 * * [simplify]: Extracting #6: cost 213 inf + 232507
3.528 * * [simplify]: Extracting #7: cost 65 inf + 295437
3.627 * * [simplify]: Extracting #8: cost 1 inf + 326845
3.703 * * [simplify]: Extracting #9: cost 0 inf + 327431
3.821 * [simplify]: Simplified to:
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  1/2
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  2
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  (* 2 (log (/ (/ U (* 2 J)) (cos (/ K 2)))))
  (* 2 (log (/ (/ U (* 2 J)) (cos (/ K 2)))))
  (exp (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))
  (* (* (/ (* U U) (* (* (* (* 8 J) (* J J)) (cos (/ K 2))) (cos (/ K 2)))) (/ U (cos (/ K 2)))) (* (/ (* U U) (* (* (* (* 8 J) (* J J)) (cos (/ K 2))) (cos (/ K 2)))) (/ U (cos (/ K 2)))))
  (* (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (/ (* U U) (* (* (* (* 8 J) (* J J)) (cos (/ K 2))) (cos (/ K 2)))) (/ U (cos (/ K 2)))))
  (* (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (/ (* U U) (* (* (* (* 8 J) (* J J)) (cos (/ K 2))) (cos (/ K 2)))) (/ U (cos (/ K 2)))))
  (* (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (/ (* U U) (* (* (* (* 8 J) (* J J)) (cos (/ K 2))) (cos (/ K 2)))) (/ U (cos (/ K 2)))))
  (* (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (/ (* U U) (* (* (* (* 8 J) (* J J)) (cos (/ K 2))) (cos (/ K 2)))) (/ U (cos (/ K 2)))))
  (* (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))))
  (* (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))))
  (* (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))))
  (* (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (/ (* U U) (* (* (* (* 8 J) (* J J)) (cos (/ K 2))) (cos (/ K 2)))) (/ U (cos (/ K 2)))))
  (* (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))))
  (* (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))))
  (* (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))))
  (* (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (/ (* U U) (* (* (* (* 8 J) (* J J)) (cos (/ K 2))) (cos (/ K 2)))) (/ U (cos (/ K 2)))))
  (* (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))))
  (* (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))))
  (* (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))))
  (* (cbrt (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (cbrt (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))
  (cbrt (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))
  (* (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))))
  (fabs (/ (/ U (* 2 J)) (cos (/ K 2))))
  (fabs (/ (/ U (* 2 J)) (cos (/ K 2))))
  (* U U)
  (* (* J (* (cos (/ K 2)) 2)) (* J (* (cos (/ K 2)) 2)))
  (* (* (cbrt (/ (/ U (* 2 J)) (cos (/ K 2)))) (cbrt (/ (/ U (* 2 J)) (cos (/ K 2))))) (* (cbrt (/ (/ U (* 2 J)) (cos (/ K 2)))) (cbrt (/ (/ U (* 2 J)) (cos (/ K 2))))))
  (* (cbrt (/ (/ U (* 2 J)) (cos (/ K 2)))) (cbrt (/ (/ U (* 2 J)) (cos (/ K 2)))))
  (/ (/ U (* 2 J)) (cos (/ K 2)))
  (/ (/ U (* 2 J)) (cos (/ K 2)))
  (* (/ (* (cbrt U) (cbrt U)) (* 2 J)) (/ (* (cbrt U) (cbrt U)) (* 2 J)))
  (* (/ (cbrt U) (cos (/ K 2))) (/ (cbrt U) (cos (/ K 2))))
  (* (/ (sqrt U) (* 2 J)) (/ (sqrt U) (* 2 J)))
  (* (/ (sqrt U) (cos (/ K 2))) (/ (sqrt U) (cos (/ K 2))))
  (* (/ 1/2 J) (/ 1/2 J))
  (* (/ U (cos (/ K 2))) (/ U (cos (/ K 2))))
  1
  (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))
  (* U U)
  (* (/ (/ 1/2 J) (cos (/ K 2))) (/ (/ 1/2 J) (cos (/ K 2))))
  (/ (/ U (* 2 J)) (cos (/ K 2)))
  (/ (/ U (* 2 J)) (cos (/ K 2)))
  2
  (* (* (cbrt (/ (/ U (* 2 J)) (cos (/ K 2)))) (cbrt (/ (/ U (* 2 J)) (cos (/ K 2))))) (/ (/ U (* 2 J)) (cos (/ K 2))))
  (* (/ (/ U (* 2 J)) (cos (/ K 2))) (sqrt (/ (/ U (* 2 J)) (cos (/ K 2)))))
  (/ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (cbrt U)) (/ (* 2 J) (cbrt U)))
  (/ (* (/ U (* 2 J)) (/ (sqrt U) (* 2 J))) (cos (/ K 2)))
  (/ (/ (/ U (* 2 J)) (cos (/ K 2))) (* 2 J))
  (/ (/ U (* 2 J)) (cos (/ K 2)))
  (/ (* U (/ U (* 2 J))) (cos (/ K 2)))
  (* (/ (/ U (* 2 J)) (cos (/ K 2))) (cbrt (/ (/ U (* 2 J)) (cos (/ K 2)))))
  (* (/ (/ U (* 2 J)) (cos (/ K 2))) (sqrt (/ (/ U (* 2 J)) (cos (/ K 2)))))
  (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (cbrt U) (cos (/ K 2))))
  (* (/ (sqrt U) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))
  (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ U (cos (/ K 2))))
  (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))
  (/ (/ (/ (/ U (* 2 J)) (cos (/ K 2))) (* 2 J)) (cos (/ K 2)))
  (/ (* U (/ U (* 2 J))) (cos (/ K 2)))
  (/ (* U (/ U (* 2 J))) (cos (/ K 2)))
  (real->posit16 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))
  (* J (* (cos (/ K 2)) 2))
  (* J (* (cos (/ K 2)) 2))
  (log (* J (* (cos (/ K 2)) 2)))
  (log (* J (* (cos (/ K 2)) 2)))
  (log (* J (* (cos (/ K 2)) 2)))
  (exp (* J (* (cos (/ K 2)) 2)))
  (* (* (* (* 8 J) (* J J)) (cos (/ K 2))) (* (cos (/ K 2)) (cos (/ K 2))))
  (* (* (* J (* (cos (/ K 2)) 2)) (* J (* (cos (/ K 2)) 2))) (* J (* (cos (/ K 2)) 2)))
  (* (cbrt (* J (* (cos (/ K 2)) 2))) (cbrt (* J (* (cos (/ K 2)) 2))))
  (cbrt (* J (* (cos (/ K 2)) 2)))
  (* (* (* J (* (cos (/ K 2)) 2)) (* J (* (cos (/ K 2)) 2))) (* J (* (cos (/ K 2)) 2)))
  (sqrt (* J (* (cos (/ K 2)) 2)))
  (sqrt (* J (* (cos (/ K 2)) 2)))
  (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* 2 J))
  (* J (* 2 (sqrt (cos (/ K 2)))))
  (* 2 J)
  (* (cos (/ K 2)) 2)
  (real->posit16 (* J (* (cos (/ K 2)) 2)))
  1
  (/ (/ (* U 1/2) J) (cos (* K 1/2)))
  (/ (/ (* U 1/2) J) (cos (* K 1/2)))
  (- (* J -2) (* (/ (* U U) J) 1/4))
  (- U)
  (- U)
  (+ (* (* (/ U J) (/ U J)) 1/4) (/ (* 1/16 (* K K)) (* (/ J U) (/ J U))))
  (/ (* (* (/ U J) (/ U J)) 1/4) (* (cos (* K 1/2)) (cos (* K 1/2))))
  (/ (* (* (/ U J) (/ U J)) 1/4) (* (cos (* K 1/2)) (cos (* K 1/2))))
  (* 2 J)
  (* (cos (* K 1/2)) (* 2 J))
  (* (cos (* K 1/2)) (* 2 J))
3.844 * * * [progress]: adding candidates to table
4.526 * * [progress]: iteration 2 / 4
4.526 * * * [progress]: picking best candidate
4.553 * * * * [pick]: Picked  #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
4.553 * * * [progress]: localizing error
4.607 * * * [progress]: generating rewritten candidates
4.607 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1)
4.742 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 1)
4.948 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1)
5.165 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1)
5.595 * * * [progress]: generating series expansions
5.596 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1)
5.596 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))
5.596 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U J K) around 0
5.596 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K
5.596 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K
5.596 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
5.596 * [taylor]: Taking taylor expansion of 1/4 in K
5.596 * [backup-simplify]: Simplify 1/4 into 1/4
5.596 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
5.596 * [taylor]: Taking taylor expansion of (pow U 2) in K
5.596 * [taylor]: Taking taylor expansion of U in K
5.596 * [backup-simplify]: Simplify U into U
5.596 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
5.596 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
5.596 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
5.596 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
5.597 * [taylor]: Taking taylor expansion of 1/2 in K
5.597 * [backup-simplify]: Simplify 1/2 into 1/2
5.597 * [taylor]: Taking taylor expansion of K in K
5.597 * [backup-simplify]: Simplify 0 into 0
5.597 * [backup-simplify]: Simplify 1 into 1
5.597 * [backup-simplify]: Simplify (* 1/2 0) into 0
5.598 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
5.598 * [taylor]: Taking taylor expansion of (pow J 2) in K
5.598 * [taylor]: Taking taylor expansion of J in K
5.598 * [backup-simplify]: Simplify J into J
5.598 * [backup-simplify]: Simplify (* U U) into (pow U 2)
5.599 * [backup-simplify]: Simplify (* 1 1) into 1
5.599 * [backup-simplify]: Simplify (* J J) into (pow J 2)
5.599 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
5.599 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
5.599 * [taylor]: Taking taylor expansion of 1 in K
5.599 * [backup-simplify]: Simplify 1 into 1
5.599 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2)))
5.599 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
5.600 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
5.600 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
5.600 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
5.600 * [backup-simplify]: Simplify (+ 0) into 0
5.601 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.602 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
5.602 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
5.602 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0
5.603 * [backup-simplify]: Simplify (+ 0 0) into 0
5.603 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
5.603 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J
5.603 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J
5.603 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
5.603 * [taylor]: Taking taylor expansion of 1/4 in J
5.603 * [backup-simplify]: Simplify 1/4 into 1/4
5.603 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
5.603 * [taylor]: Taking taylor expansion of (pow U 2) in J
5.603 * [taylor]: Taking taylor expansion of U in J
5.603 * [backup-simplify]: Simplify U into U
5.603 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
5.603 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
5.603 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
5.603 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
5.603 * [taylor]: Taking taylor expansion of 1/2 in J
5.603 * [backup-simplify]: Simplify 1/2 into 1/2
5.603 * [taylor]: Taking taylor expansion of K in J
5.603 * [backup-simplify]: Simplify K into K
5.604 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
5.604 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
5.604 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
5.604 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
5.604 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
5.604 * [backup-simplify]: Simplify (- 0) into 0
5.604 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
5.604 * [taylor]: Taking taylor expansion of (pow J 2) in J
5.604 * [taylor]: Taking taylor expansion of J in J
5.604 * [backup-simplify]: Simplify 0 into 0
5.604 * [backup-simplify]: Simplify 1 into 1
5.604 * [backup-simplify]: Simplify (* U U) into (pow U 2)
5.604 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
5.605 * [backup-simplify]: Simplify (* 1 1) into 1
5.605 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
5.605 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
5.605 * [taylor]: Taking taylor expansion of 1 in J
5.605 * [backup-simplify]: Simplify 1 into 1
5.605 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
5.605 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
5.605 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
5.605 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
5.606 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.606 * [backup-simplify]: Simplify (+ 0) into 0
5.606 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
5.607 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
5.607 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.607 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
5.608 * [backup-simplify]: Simplify (- 0) into 0
5.608 * [backup-simplify]: Simplify (+ 0 0) into 0
5.608 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
5.608 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
5.608 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
5.609 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0
5.609 * [backup-simplify]: Simplify (+ 0 0) into 0
5.609 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
5.609 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
5.609 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
5.609 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
5.609 * [taylor]: Taking taylor expansion of 1/4 in U
5.609 * [backup-simplify]: Simplify 1/4 into 1/4
5.609 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
5.609 * [taylor]: Taking taylor expansion of (pow U 2) in U
5.609 * [taylor]: Taking taylor expansion of U in U
5.609 * [backup-simplify]: Simplify 0 into 0
5.609 * [backup-simplify]: Simplify 1 into 1
5.609 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
5.609 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
5.609 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
5.610 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
5.610 * [taylor]: Taking taylor expansion of 1/2 in U
5.610 * [backup-simplify]: Simplify 1/2 into 1/2
5.610 * [taylor]: Taking taylor expansion of K in U
5.610 * [backup-simplify]: Simplify K into K
5.610 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
5.610 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
5.610 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
5.610 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
5.610 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
5.610 * [backup-simplify]: Simplify (- 0) into 0
5.610 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
5.610 * [taylor]: Taking taylor expansion of (pow J 2) in U
5.610 * [taylor]: Taking taylor expansion of J in U
5.610 * [backup-simplify]: Simplify J into J
5.610 * [backup-simplify]: Simplify (* 1 1) into 1
5.610 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
5.611 * [backup-simplify]: Simplify (* J J) into (pow J 2)
5.611 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
5.611 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
5.611 * [taylor]: Taking taylor expansion of 1 in U
5.611 * [backup-simplify]: Simplify 1 into 1
5.611 * [backup-simplify]: Simplify (+ 0 1) into 1
5.611 * [backup-simplify]: Simplify (sqrt 1) into 1
5.612 * [backup-simplify]: Simplify (+ 0 0) into 0
5.612 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.612 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
5.612 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
5.612 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
5.612 * [taylor]: Taking taylor expansion of 1/4 in U
5.612 * [backup-simplify]: Simplify 1/4 into 1/4
5.612 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
5.612 * [taylor]: Taking taylor expansion of (pow U 2) in U
5.612 * [taylor]: Taking taylor expansion of U in U
5.612 * [backup-simplify]: Simplify 0 into 0
5.612 * [backup-simplify]: Simplify 1 into 1
5.612 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
5.612 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
5.612 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
5.612 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
5.612 * [taylor]: Taking taylor expansion of 1/2 in U
5.612 * [backup-simplify]: Simplify 1/2 into 1/2
5.612 * [taylor]: Taking taylor expansion of K in U
5.612 * [backup-simplify]: Simplify K into K
5.612 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
5.612 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
5.612 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
5.612 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
5.613 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
5.613 * [backup-simplify]: Simplify (- 0) into 0
5.613 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
5.613 * [taylor]: Taking taylor expansion of (pow J 2) in U
5.613 * [taylor]: Taking taylor expansion of J in U
5.613 * [backup-simplify]: Simplify J into J
5.613 * [backup-simplify]: Simplify (* 1 1) into 1
5.613 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
5.613 * [backup-simplify]: Simplify (* J J) into (pow J 2)
5.613 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
5.613 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
5.613 * [taylor]: Taking taylor expansion of 1 in U
5.613 * [backup-simplify]: Simplify 1 into 1
5.614 * [backup-simplify]: Simplify (+ 0 1) into 1
5.614 * [backup-simplify]: Simplify (sqrt 1) into 1
5.614 * [backup-simplify]: Simplify (+ 0 0) into 0
5.615 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.615 * [taylor]: Taking taylor expansion of 1 in J
5.615 * [backup-simplify]: Simplify 1 into 1
5.615 * [taylor]: Taking taylor expansion of 0 in J
5.615 * [backup-simplify]: Simplify 0 into 0
5.615 * [taylor]: Taking taylor expansion of 1 in K
5.615 * [backup-simplify]: Simplify 1 into 1
5.615 * [backup-simplify]: Simplify 1 into 1
5.615 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
5.615 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
5.616 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
5.616 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
5.616 * [taylor]: Taking taylor expansion of 1/8 in J
5.616 * [backup-simplify]: Simplify 1/8 into 1/8
5.616 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
5.616 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
5.616 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
5.616 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
5.616 * [taylor]: Taking taylor expansion of 1/2 in J
5.616 * [backup-simplify]: Simplify 1/2 into 1/2
5.616 * [taylor]: Taking taylor expansion of K in J
5.616 * [backup-simplify]: Simplify K into K
5.616 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
5.616 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
5.616 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
5.616 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
5.616 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
5.617 * [backup-simplify]: Simplify (- 0) into 0
5.617 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
5.617 * [taylor]: Taking taylor expansion of (pow J 2) in J
5.617 * [taylor]: Taking taylor expansion of J in J
5.617 * [backup-simplify]: Simplify 0 into 0
5.617 * [backup-simplify]: Simplify 1 into 1
5.617 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
5.617 * [backup-simplify]: Simplify (* 1 1) into 1
5.617 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
5.617 * [backup-simplify]: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2))
5.618 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.618 * [backup-simplify]: Simplify (+ 0) into 0
5.618 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
5.619 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
5.619 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.619 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
5.620 * [backup-simplify]: Simplify (- 0) into 0
5.620 * [backup-simplify]: Simplify (+ 0 0) into 0
5.620 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
5.620 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
5.620 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
5.620 * [taylor]: Taking taylor expansion of 0 in K
5.620 * [backup-simplify]: Simplify 0 into 0
5.620 * [backup-simplify]: Simplify 0 into 0
5.620 * [taylor]: Taking taylor expansion of 0 in K
5.620 * [backup-simplify]: Simplify 0 into 0
5.621 * [backup-simplify]: Simplify 0 into 0
5.621 * [taylor]: Taking taylor expansion of 0 in K
5.621 * [backup-simplify]: Simplify 0 into 0
5.621 * [backup-simplify]: Simplify 0 into 0
5.621 * [backup-simplify]: Simplify 0 into 0
5.621 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.621 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
5.621 * [backup-simplify]: Simplify (+ 0) into 0
5.622 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
5.622 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
5.622 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.623 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
5.623 * [backup-simplify]: Simplify (- 0) into 0
5.623 * [backup-simplify]: Simplify (+ 0 0) into 0
5.623 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
5.623 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0
5.624 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
5.624 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0
5.624 * [backup-simplify]: Simplify (+ 0 0) into 0
5.625 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0
5.625 * [taylor]: Taking taylor expansion of 0 in J
5.625 * [backup-simplify]: Simplify 0 into 0
5.625 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.626 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
5.626 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
5.627 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
5.627 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
5.628 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
5.628 * [backup-simplify]: Simplify (- 0) into 0
5.628 * [backup-simplify]: Simplify (+ 0 0) into 0
5.628 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0
5.629 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
5.629 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
5.629 * [taylor]: Taking taylor expansion of 0 in K
5.629 * [backup-simplify]: Simplify 0 into 0
5.629 * [backup-simplify]: Simplify 0 into 0
5.629 * [taylor]: Taking taylor expansion of 0 in K
5.629 * [backup-simplify]: Simplify 0 into 0
5.629 * [backup-simplify]: Simplify 0 into 0
5.629 * [backup-simplify]: Simplify 1 into 1
5.630 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
5.630 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U J K) around 0
5.630 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K
5.630 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K
5.630 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
5.630 * [taylor]: Taking taylor expansion of 1/4 in K
5.630 * [backup-simplify]: Simplify 1/4 into 1/4
5.630 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
5.630 * [taylor]: Taking taylor expansion of (pow J 2) in K
5.630 * [taylor]: Taking taylor expansion of J in K
5.630 * [backup-simplify]: Simplify J into J
5.630 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
5.630 * [taylor]: Taking taylor expansion of (pow U 2) in K
5.630 * [taylor]: Taking taylor expansion of U in K
5.630 * [backup-simplify]: Simplify U into U
5.630 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
5.630 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
5.630 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
5.630 * [taylor]: Taking taylor expansion of 1/2 in K
5.630 * [backup-simplify]: Simplify 1/2 into 1/2
5.630 * [taylor]: Taking taylor expansion of K in K
5.630 * [backup-simplify]: Simplify 0 into 0
5.630 * [backup-simplify]: Simplify 1 into 1
5.630 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.630 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
5.631 * [backup-simplify]: Simplify (* J J) into (pow J 2)
5.631 * [backup-simplify]: Simplify (* U U) into (pow U 2)
5.631 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
5.631 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
5.631 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
5.631 * [taylor]: Taking taylor expansion of 1 in K
5.631 * [backup-simplify]: Simplify 1 into 1
5.631 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))
5.631 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)
5.631 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
5.632 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
5.632 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
5.632 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
5.632 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
5.633 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
5.633 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
5.634 * [backup-simplify]: Simplify (+ 0 0) into 0
5.634 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
5.634 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
5.634 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
5.634 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
5.634 * [taylor]: Taking taylor expansion of 1/4 in J
5.634 * [backup-simplify]: Simplify 1/4 into 1/4
5.634 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
5.634 * [taylor]: Taking taylor expansion of (pow J 2) in J
5.634 * [taylor]: Taking taylor expansion of J in J
5.635 * [backup-simplify]: Simplify 0 into 0
5.635 * [backup-simplify]: Simplify 1 into 1
5.635 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
5.635 * [taylor]: Taking taylor expansion of (pow U 2) in J
5.635 * [taylor]: Taking taylor expansion of U in J
5.635 * [backup-simplify]: Simplify U into U
5.635 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
5.635 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
5.635 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
5.635 * [taylor]: Taking taylor expansion of 1/2 in J
5.635 * [backup-simplify]: Simplify 1/2 into 1/2
5.635 * [taylor]: Taking taylor expansion of K in J
5.635 * [backup-simplify]: Simplify K into K
5.635 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
5.635 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
5.635 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
5.635 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
5.635 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
5.636 * [backup-simplify]: Simplify (- 0) into 0
5.636 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
5.636 * [backup-simplify]: Simplify (* 1 1) into 1
5.636 * [backup-simplify]: Simplify (* U U) into (pow U 2)
5.636 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
5.637 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
5.637 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
5.637 * [taylor]: Taking taylor expansion of 1 in J
5.637 * [backup-simplify]: Simplify 1 into 1
5.637 * [backup-simplify]: Simplify (+ 0 1) into 1
5.638 * [backup-simplify]: Simplify (sqrt 1) into 1
5.638 * [backup-simplify]: Simplify (+ 0 0) into 0
5.639 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.639 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
5.639 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
5.639 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
5.639 * [taylor]: Taking taylor expansion of 1/4 in U
5.639 * [backup-simplify]: Simplify 1/4 into 1/4
5.639 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
5.639 * [taylor]: Taking taylor expansion of (pow J 2) in U
5.639 * [taylor]: Taking taylor expansion of J in U
5.639 * [backup-simplify]: Simplify J into J
5.639 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
5.639 * [taylor]: Taking taylor expansion of (pow U 2) in U
5.639 * [taylor]: Taking taylor expansion of U in U
5.639 * [backup-simplify]: Simplify 0 into 0
5.639 * [backup-simplify]: Simplify 1 into 1
5.639 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
5.639 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
5.639 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
5.639 * [taylor]: Taking taylor expansion of 1/2 in U
5.639 * [backup-simplify]: Simplify 1/2 into 1/2
5.639 * [taylor]: Taking taylor expansion of K in U
5.639 * [backup-simplify]: Simplify K into K
5.639 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
5.640 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
5.640 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
5.640 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
5.640 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
5.640 * [backup-simplify]: Simplify (- 0) into 0
5.640 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
5.640 * [backup-simplify]: Simplify (* J J) into (pow J 2)
5.641 * [backup-simplify]: Simplify (* 1 1) into 1
5.641 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
5.641 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
5.641 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
5.641 * [taylor]: Taking taylor expansion of 1 in U
5.641 * [backup-simplify]: Simplify 1 into 1
5.642 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
5.642 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
5.642 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
5.642 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
5.643 * [backup-simplify]: Simplify (+ 0) into 0
5.643 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
5.643 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
5.644 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.645 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
5.645 * [backup-simplify]: Simplify (- 0) into 0
5.645 * [backup-simplify]: Simplify (+ 0 0) into 0
5.646 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
5.646 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.647 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
5.647 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
5.648 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
5.648 * [backup-simplify]: Simplify (+ 0 0) into 0
5.649 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
5.649 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
5.649 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
5.649 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
5.649 * [taylor]: Taking taylor expansion of 1/4 in U
5.649 * [backup-simplify]: Simplify 1/4 into 1/4
5.649 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
5.649 * [taylor]: Taking taylor expansion of (pow J 2) in U
5.649 * [taylor]: Taking taylor expansion of J in U
5.649 * [backup-simplify]: Simplify J into J
5.649 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
5.649 * [taylor]: Taking taylor expansion of (pow U 2) in U
5.649 * [taylor]: Taking taylor expansion of U in U
5.649 * [backup-simplify]: Simplify 0 into 0
5.649 * [backup-simplify]: Simplify 1 into 1
5.649 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
5.649 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
5.649 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
5.649 * [taylor]: Taking taylor expansion of 1/2 in U
5.649 * [backup-simplify]: Simplify 1/2 into 1/2
5.649 * [taylor]: Taking taylor expansion of K in U
5.649 * [backup-simplify]: Simplify K into K
5.649 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
5.649 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
5.650 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
5.650 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
5.650 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
5.650 * [backup-simplify]: Simplify (- 0) into 0
5.650 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
5.650 * [backup-simplify]: Simplify (* J J) into (pow J 2)
5.651 * [backup-simplify]: Simplify (* 1 1) into 1
5.651 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
5.651 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
5.651 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
5.651 * [taylor]: Taking taylor expansion of 1 in U
5.651 * [backup-simplify]: Simplify 1 into 1
5.651 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
5.652 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
5.652 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
5.652 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
5.653 * [backup-simplify]: Simplify (+ 0) into 0
5.653 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
5.653 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
5.654 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.655 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
5.655 * [backup-simplify]: Simplify (- 0) into 0
5.655 * [backup-simplify]: Simplify (+ 0 0) into 0
5.656 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
5.656 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.657 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
5.657 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
5.658 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
5.658 * [backup-simplify]: Simplify (+ 0 0) into 0
5.659 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
5.659 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J
5.659 * [taylor]: Taking taylor expansion of 1/2 in J
5.659 * [backup-simplify]: Simplify 1/2 into 1/2
5.659 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J
5.659 * [taylor]: Taking taylor expansion of J in J
5.659 * [backup-simplify]: Simplify 0 into 0
5.659 * [backup-simplify]: Simplify 1 into 1
5.659 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
5.659 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
5.659 * [taylor]: Taking taylor expansion of 1/2 in J
5.659 * [backup-simplify]: Simplify 1/2 into 1/2
5.659 * [taylor]: Taking taylor expansion of K in J
5.659 * [backup-simplify]: Simplify K into K
5.659 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
5.659 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
5.659 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
5.659 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
5.659 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
5.660 * [backup-simplify]: Simplify (- 0) into 0
5.660 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
5.660 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K)))
5.660 * [taylor]: Taking taylor expansion of 0 in J
5.660 * [backup-simplify]: Simplify 0 into 0
5.660 * [taylor]: Taking taylor expansion of 0 in K
5.660 * [backup-simplify]: Simplify 0 into 0
5.660 * [backup-simplify]: Simplify 0 into 0
5.660 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K)))
5.660 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K
5.660 * [taylor]: Taking taylor expansion of 1/2 in K
5.660 * [backup-simplify]: Simplify 1/2 into 1/2
5.660 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
5.661 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
5.661 * [taylor]: Taking taylor expansion of 1/2 in K
5.661 * [backup-simplify]: Simplify 1/2 into 1/2
5.661 * [taylor]: Taking taylor expansion of K in K
5.661 * [backup-simplify]: Simplify 0 into 0
5.661 * [backup-simplify]: Simplify 1 into 1
5.661 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.662 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
5.662 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
5.662 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
5.662 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
5.663 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
5.664 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
5.664 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
5.665 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
5.666 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
5.666 * [backup-simplify]: Simplify (- 0) into 0
5.666 * [backup-simplify]: Simplify (+ 0 0) into 0
5.667 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
5.668 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.669 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
5.669 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
5.671 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0
5.671 * [backup-simplify]: Simplify (+ 0 1) into 1
5.673 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J)
5.673 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
5.673 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
5.673 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
5.673 * [taylor]: Taking taylor expansion of 1/2 in J
5.673 * [backup-simplify]: Simplify 1/2 into 1/2
5.673 * [taylor]: Taking taylor expansion of K in J
5.673 * [backup-simplify]: Simplify K into K
5.673 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
5.673 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
5.673 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
5.673 * [taylor]: Taking taylor expansion of J in J
5.673 * [backup-simplify]: Simplify 0 into 0
5.673 * [backup-simplify]: Simplify 1 into 1
5.673 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
5.673 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
5.674 * [backup-simplify]: Simplify (- 0) into 0
5.674 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
5.674 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
5.675 * [backup-simplify]: Simplify (+ 0) into 0
5.675 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
5.675 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
5.676 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.677 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
5.677 * [backup-simplify]: Simplify (- 0) into 0
5.677 * [backup-simplify]: Simplify (+ 0 0) into 0
5.678 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0
5.678 * [taylor]: Taking taylor expansion of 0 in K
5.678 * [backup-simplify]: Simplify 0 into 0
5.678 * [backup-simplify]: Simplify 0 into 0
5.678 * [taylor]: Taking taylor expansion of 0 in K
5.679 * [backup-simplify]: Simplify 0 into 0
5.679 * [backup-simplify]: Simplify 0 into 0
5.679 * [backup-simplify]: Simplify (+ 0) into 0
5.679 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
5.680 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
5.680 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.681 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
5.681 * [backup-simplify]: Simplify (- 0) into 0
5.682 * [backup-simplify]: Simplify (+ 0 0) into 0
5.682 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
5.682 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0
5.682 * [taylor]: Taking taylor expansion of 0 in K
5.683 * [backup-simplify]: Simplify 0 into 0
5.683 * [backup-simplify]: Simplify 0 into 0
5.683 * [backup-simplify]: Simplify 0 into 0
5.683 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
5.683 * [backup-simplify]: Simplify 0 into 0
5.684 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
5.685 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
5.686 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.686 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
5.688 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
5.688 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
5.689 * [backup-simplify]: Simplify (- 0) into 0
5.689 * [backup-simplify]: Simplify (+ 0 0) into 0
5.690 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
5.691 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.692 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0
5.693 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
5.694 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
5.695 * [backup-simplify]: Simplify (+ 0 0) into 0
5.695 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0
5.695 * [taylor]: Taking taylor expansion of 0 in J
5.695 * [backup-simplify]: Simplify 0 into 0
5.695 * [taylor]: Taking taylor expansion of 0 in K
5.695 * [backup-simplify]: Simplify 0 into 0
5.695 * [backup-simplify]: Simplify 0 into 0
5.695 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
5.696 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))
5.696 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U J K) around 0
5.696 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K
5.696 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K
5.696 * [taylor]: Taking taylor expansion of 1 in K
5.696 * [backup-simplify]: Simplify 1 into 1
5.696 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
5.696 * [taylor]: Taking taylor expansion of 1/4 in K
5.696 * [backup-simplify]: Simplify 1/4 into 1/4
5.696 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
5.696 * [taylor]: Taking taylor expansion of (pow J 2) in K
5.696 * [taylor]: Taking taylor expansion of J in K
5.697 * [backup-simplify]: Simplify J into J
5.697 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
5.697 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
5.697 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
5.697 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
5.697 * [taylor]: Taking taylor expansion of -1/2 in K
5.697 * [backup-simplify]: Simplify -1/2 into -1/2
5.697 * [taylor]: Taking taylor expansion of K in K
5.697 * [backup-simplify]: Simplify 0 into 0
5.697 * [backup-simplify]: Simplify 1 into 1
5.697 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
5.697 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
5.697 * [taylor]: Taking taylor expansion of (pow U 2) in K
5.697 * [taylor]: Taking taylor expansion of U in K
5.697 * [backup-simplify]: Simplify U into U
5.697 * [backup-simplify]: Simplify (* J J) into (pow J 2)
5.698 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
5.698 * [backup-simplify]: Simplify (* U U) into (pow U 2)
5.698 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
5.698 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
5.698 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
5.699 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))
5.699 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))
5.699 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
5.699 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
5.699 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
5.700 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
5.700 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0
5.701 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
5.701 * [backup-simplify]: Simplify (+ 0 0) into 0
5.702 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0
5.702 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
5.702 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
5.702 * [taylor]: Taking taylor expansion of 1 in J
5.702 * [backup-simplify]: Simplify 1 into 1
5.702 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
5.702 * [taylor]: Taking taylor expansion of 1/4 in J
5.702 * [backup-simplify]: Simplify 1/4 into 1/4
5.702 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
5.702 * [taylor]: Taking taylor expansion of (pow J 2) in J
5.702 * [taylor]: Taking taylor expansion of J in J
5.702 * [backup-simplify]: Simplify 0 into 0
5.702 * [backup-simplify]: Simplify 1 into 1
5.702 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
5.702 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
5.702 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
5.702 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
5.702 * [taylor]: Taking taylor expansion of -1/2 in J
5.702 * [backup-simplify]: Simplify -1/2 into -1/2
5.702 * [taylor]: Taking taylor expansion of K in J
5.702 * [backup-simplify]: Simplify K into K
5.703 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
5.703 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
5.703 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
5.703 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
5.703 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
5.703 * [backup-simplify]: Simplify (- 0) into 0
5.703 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
5.703 * [taylor]: Taking taylor expansion of (pow U 2) in J
5.703 * [taylor]: Taking taylor expansion of U in J
5.703 * [backup-simplify]: Simplify U into U
5.704 * [backup-simplify]: Simplify (* 1 1) into 1
5.704 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
5.704 * [backup-simplify]: Simplify (* U U) into (pow U 2)
5.704 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
5.704 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
5.705 * [backup-simplify]: Simplify (+ 1 0) into 1
5.705 * [backup-simplify]: Simplify (sqrt 1) into 1
5.706 * [backup-simplify]: Simplify (+ 0 0) into 0
5.706 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.706 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
5.706 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
5.707 * [taylor]: Taking taylor expansion of 1 in U
5.707 * [backup-simplify]: Simplify 1 into 1
5.707 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
5.707 * [taylor]: Taking taylor expansion of 1/4 in U
5.707 * [backup-simplify]: Simplify 1/4 into 1/4
5.707 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
5.707 * [taylor]: Taking taylor expansion of (pow J 2) in U
5.707 * [taylor]: Taking taylor expansion of J in U
5.707 * [backup-simplify]: Simplify J into J
5.707 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
5.707 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
5.707 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
5.707 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
5.707 * [taylor]: Taking taylor expansion of -1/2 in U
5.707 * [backup-simplify]: Simplify -1/2 into -1/2
5.707 * [taylor]: Taking taylor expansion of K in U
5.707 * [backup-simplify]: Simplify K into K
5.707 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
5.707 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
5.707 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
5.707 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
5.707 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
5.708 * [backup-simplify]: Simplify (- 0) into 0
5.708 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
5.708 * [taylor]: Taking taylor expansion of (pow U 2) in U
5.708 * [taylor]: Taking taylor expansion of U in U
5.708 * [backup-simplify]: Simplify 0 into 0
5.708 * [backup-simplify]: Simplify 1 into 1
5.708 * [backup-simplify]: Simplify (* J J) into (pow J 2)
5.708 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
5.709 * [backup-simplify]: Simplify (* 1 1) into 1
5.709 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
5.709 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
5.709 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
5.709 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
5.710 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
5.710 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
5.710 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.711 * [backup-simplify]: Simplify (+ 0) into 0
5.711 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
5.712 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
5.712 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.713 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
5.713 * [backup-simplify]: Simplify (- 0) into 0
5.714 * [backup-simplify]: Simplify (+ 0 0) into 0
5.714 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
5.714 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
5.715 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
5.720 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
5.721 * [backup-simplify]: Simplify (+ 0 0) into 0
5.721 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
5.721 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
5.721 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
5.721 * [taylor]: Taking taylor expansion of 1 in U
5.721 * [backup-simplify]: Simplify 1 into 1
5.721 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
5.721 * [taylor]: Taking taylor expansion of 1/4 in U
5.721 * [backup-simplify]: Simplify 1/4 into 1/4
5.721 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
5.721 * [taylor]: Taking taylor expansion of (pow J 2) in U
5.722 * [taylor]: Taking taylor expansion of J in U
5.722 * [backup-simplify]: Simplify J into J
5.722 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
5.722 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
5.722 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
5.722 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
5.722 * [taylor]: Taking taylor expansion of -1/2 in U
5.722 * [backup-simplify]: Simplify -1/2 into -1/2
5.722 * [taylor]: Taking taylor expansion of K in U
5.722 * [backup-simplify]: Simplify K into K
5.722 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
5.722 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
5.722 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
5.722 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
5.722 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
5.723 * [backup-simplify]: Simplify (- 0) into 0
5.723 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
5.723 * [taylor]: Taking taylor expansion of (pow U 2) in U
5.723 * [taylor]: Taking taylor expansion of U in U
5.723 * [backup-simplify]: Simplify 0 into 0
5.723 * [backup-simplify]: Simplify 1 into 1
5.723 * [backup-simplify]: Simplify (* J J) into (pow J 2)
5.723 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
5.723 * [backup-simplify]: Simplify (* 1 1) into 1
5.724 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
5.724 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
5.724 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
5.724 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
5.724 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
5.725 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
5.725 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.726 * [backup-simplify]: Simplify (+ 0) into 0
5.726 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
5.726 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
5.727 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.728 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
5.728 * [backup-simplify]: Simplify (- 0) into 0
5.729 * [backup-simplify]: Simplify (+ 0 0) into 0
5.729 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
5.729 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
5.730 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
5.730 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
5.731 * [backup-simplify]: Simplify (+ 0 0) into 0
5.731 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
5.731 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J
5.731 * [taylor]: Taking taylor expansion of 1/2 in J
5.731 * [backup-simplify]: Simplify 1/2 into 1/2
5.731 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J
5.731 * [taylor]: Taking taylor expansion of J in J
5.731 * [backup-simplify]: Simplify 0 into 0
5.731 * [backup-simplify]: Simplify 1 into 1
5.731 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
5.731 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
5.731 * [taylor]: Taking taylor expansion of -1/2 in J
5.732 * [backup-simplify]: Simplify -1/2 into -1/2
5.732 * [taylor]: Taking taylor expansion of K in J
5.732 * [backup-simplify]: Simplify K into K
5.732 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
5.732 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
5.732 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
5.732 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
5.732 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
5.732 * [backup-simplify]: Simplify (- 0) into 0
5.732 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
5.732 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K)))
5.732 * [taylor]: Taking taylor expansion of 0 in J
5.732 * [backup-simplify]: Simplify 0 into 0
5.732 * [taylor]: Taking taylor expansion of 0 in K
5.732 * [backup-simplify]: Simplify 0 into 0
5.732 * [backup-simplify]: Simplify 0 into 0
5.732 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K)))
5.732 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K
5.732 * [taylor]: Taking taylor expansion of 1/2 in K
5.732 * [backup-simplify]: Simplify 1/2 into 1/2
5.732 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
5.732 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
5.732 * [taylor]: Taking taylor expansion of -1/2 in K
5.733 * [backup-simplify]: Simplify -1/2 into -1/2
5.733 * [taylor]: Taking taylor expansion of K in K
5.733 * [backup-simplify]: Simplify 0 into 0
5.733 * [backup-simplify]: Simplify 1 into 1
5.733 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
5.733 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
5.733 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
5.733 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
5.733 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
5.734 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.734 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
5.735 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
5.735 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
5.735 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
5.736 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
5.736 * [backup-simplify]: Simplify (- 0) into 0
5.736 * [backup-simplify]: Simplify (+ 0 0) into 0
5.737 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
5.737 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
5.737 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
5.738 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0
5.738 * [backup-simplify]: Simplify (+ 1 0) into 1
5.739 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J)
5.739 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
5.739 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
5.739 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
5.739 * [taylor]: Taking taylor expansion of -1/2 in J
5.739 * [backup-simplify]: Simplify -1/2 into -1/2
5.739 * [taylor]: Taking taylor expansion of K in J
5.739 * [backup-simplify]: Simplify K into K
5.739 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
5.739 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
5.739 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
5.739 * [taylor]: Taking taylor expansion of J in J
5.739 * [backup-simplify]: Simplify 0 into 0
5.739 * [backup-simplify]: Simplify 1 into 1
5.739 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
5.739 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
5.739 * [backup-simplify]: Simplify (- 0) into 0
5.739 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
5.739 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
5.740 * [backup-simplify]: Simplify (+ 0) into 0
5.740 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
5.740 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
5.741 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.741 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
5.741 * [backup-simplify]: Simplify (- 0) into 0
5.741 * [backup-simplify]: Simplify (+ 0 0) into 0
5.742 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0
5.742 * [taylor]: Taking taylor expansion of 0 in K
5.742 * [backup-simplify]: Simplify 0 into 0
5.742 * [backup-simplify]: Simplify 0 into 0
5.742 * [taylor]: Taking taylor expansion of 0 in K
5.742 * [backup-simplify]: Simplify 0 into 0
5.742 * [backup-simplify]: Simplify 0 into 0
5.742 * [backup-simplify]: Simplify (+ 0) into 0
5.743 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
5.743 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
5.743 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.743 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
5.744 * [backup-simplify]: Simplify (- 0) into 0
5.744 * [backup-simplify]: Simplify (+ 0 0) into 0
5.744 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
5.744 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0
5.744 * [taylor]: Taking taylor expansion of 0 in K
5.744 * [backup-simplify]: Simplify 0 into 0
5.744 * [backup-simplify]: Simplify 0 into 0
5.744 * [backup-simplify]: Simplify 0 into 0
5.745 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
5.745 * [backup-simplify]: Simplify 0 into 0
5.745 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
5.746 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.746 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
5.747 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.747 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
5.748 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
5.748 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
5.748 * [backup-simplify]: Simplify (- 0) into 0
5.749 * [backup-simplify]: Simplify (+ 0 0) into 0
5.749 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
5.750 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.750 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
5.751 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
5.751 * [backup-simplify]: Simplify (+ 0 0) into 0
5.751 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
5.751 * [taylor]: Taking taylor expansion of 0 in J
5.751 * [backup-simplify]: Simplify 0 into 0
5.751 * [taylor]: Taking taylor expansion of 0 in K
5.751 * [backup-simplify]: Simplify 0 into 0
5.751 * [backup-simplify]: Simplify 0 into 0
5.752 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
5.752 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 1)
5.752 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))
5.752 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U J K) around 0
5.752 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K
5.752 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K
5.752 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
5.752 * [taylor]: Taking taylor expansion of 1/4 in K
5.752 * [backup-simplify]: Simplify 1/4 into 1/4
5.752 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
5.752 * [taylor]: Taking taylor expansion of (pow U 2) in K
5.753 * [taylor]: Taking taylor expansion of U in K
5.753 * [backup-simplify]: Simplify U into U
5.753 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
5.753 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
5.753 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
5.753 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
5.753 * [taylor]: Taking taylor expansion of 1/2 in K
5.753 * [backup-simplify]: Simplify 1/2 into 1/2
5.753 * [taylor]: Taking taylor expansion of K in K
5.753 * [backup-simplify]: Simplify 0 into 0
5.753 * [backup-simplify]: Simplify 1 into 1
5.753 * [backup-simplify]: Simplify (* 1/2 0) into 0
5.754 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
5.754 * [taylor]: Taking taylor expansion of (pow J 2) in K
5.754 * [taylor]: Taking taylor expansion of J in K
5.754 * [backup-simplify]: Simplify J into J
5.754 * [backup-simplify]: Simplify (* U U) into (pow U 2)
5.755 * [backup-simplify]: Simplify (* 1 1) into 1
5.755 * [backup-simplify]: Simplify (* J J) into (pow J 2)
5.755 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
5.755 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
5.755 * [taylor]: Taking taylor expansion of 1 in K
5.755 * [backup-simplify]: Simplify 1 into 1
5.755 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2)))
5.755 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
5.756 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
5.756 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
5.756 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
5.756 * [backup-simplify]: Simplify (+ 0) into 0
5.757 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.758 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
5.758 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
5.758 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0
5.759 * [backup-simplify]: Simplify (+ 0 0) into 0
5.759 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
5.759 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J
5.759 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J
5.759 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
5.759 * [taylor]: Taking taylor expansion of 1/4 in J
5.759 * [backup-simplify]: Simplify 1/4 into 1/4
5.759 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
5.759 * [taylor]: Taking taylor expansion of (pow U 2) in J
5.759 * [taylor]: Taking taylor expansion of U in J
5.759 * [backup-simplify]: Simplify U into U
5.759 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
5.759 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
5.760 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
5.760 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
5.760 * [taylor]: Taking taylor expansion of 1/2 in J
5.760 * [backup-simplify]: Simplify 1/2 into 1/2
5.760 * [taylor]: Taking taylor expansion of K in J
5.760 * [backup-simplify]: Simplify K into K
5.760 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
5.760 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
5.760 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
5.760 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
5.760 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
5.760 * [backup-simplify]: Simplify (- 0) into 0
5.761 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
5.761 * [taylor]: Taking taylor expansion of (pow J 2) in J
5.761 * [taylor]: Taking taylor expansion of J in J
5.761 * [backup-simplify]: Simplify 0 into 0
5.761 * [backup-simplify]: Simplify 1 into 1
5.761 * [backup-simplify]: Simplify (* U U) into (pow U 2)
5.761 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
5.761 * [backup-simplify]: Simplify (* 1 1) into 1
5.761 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
5.762 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
5.762 * [taylor]: Taking taylor expansion of 1 in J
5.762 * [backup-simplify]: Simplify 1 into 1
5.762 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
5.762 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
5.762 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
5.762 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
5.763 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.764 * [backup-simplify]: Simplify (+ 0) into 0
5.764 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
5.765 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
5.766 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.766 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
5.766 * [backup-simplify]: Simplify (- 0) into 0
5.767 * [backup-simplify]: Simplify (+ 0 0) into 0
5.767 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
5.768 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
5.768 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
5.769 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0
5.769 * [backup-simplify]: Simplify (+ 0 0) into 0
5.769 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
5.769 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
5.769 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
5.769 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
5.769 * [taylor]: Taking taylor expansion of 1/4 in U
5.769 * [backup-simplify]: Simplify 1/4 into 1/4
5.769 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
5.770 * [taylor]: Taking taylor expansion of (pow U 2) in U
5.770 * [taylor]: Taking taylor expansion of U in U
5.770 * [backup-simplify]: Simplify 0 into 0
5.770 * [backup-simplify]: Simplify 1 into 1
5.770 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
5.770 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
5.770 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
5.770 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
5.770 * [taylor]: Taking taylor expansion of 1/2 in U
5.770 * [backup-simplify]: Simplify 1/2 into 1/2
5.770 * [taylor]: Taking taylor expansion of K in U
5.770 * [backup-simplify]: Simplify K into K
5.770 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
5.770 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
5.770 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
5.770 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
5.770 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
5.771 * [backup-simplify]: Simplify (- 0) into 0
5.771 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
5.771 * [taylor]: Taking taylor expansion of (pow J 2) in U
5.771 * [taylor]: Taking taylor expansion of J in U
5.771 * [backup-simplify]: Simplify J into J
5.771 * [backup-simplify]: Simplify (* 1 1) into 1
5.772 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
5.772 * [backup-simplify]: Simplify (* J J) into (pow J 2)
5.772 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
5.772 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
5.772 * [taylor]: Taking taylor expansion of 1 in U
5.772 * [backup-simplify]: Simplify 1 into 1
5.773 * [backup-simplify]: Simplify (+ 0 1) into 1
5.773 * [backup-simplify]: Simplify (sqrt 1) into 1
5.773 * [backup-simplify]: Simplify (+ 0 0) into 0
5.774 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.774 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
5.774 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
5.774 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
5.774 * [taylor]: Taking taylor expansion of 1/4 in U
5.774 * [backup-simplify]: Simplify 1/4 into 1/4
5.774 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
5.774 * [taylor]: Taking taylor expansion of (pow U 2) in U
5.774 * [taylor]: Taking taylor expansion of U in U
5.774 * [backup-simplify]: Simplify 0 into 0
5.774 * [backup-simplify]: Simplify 1 into 1
5.775 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
5.775 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
5.775 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
5.775 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
5.775 * [taylor]: Taking taylor expansion of 1/2 in U
5.775 * [backup-simplify]: Simplify 1/2 into 1/2
5.775 * [taylor]: Taking taylor expansion of K in U
5.775 * [backup-simplify]: Simplify K into K
5.775 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
5.775 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
5.775 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
5.775 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
5.775 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
5.776 * [backup-simplify]: Simplify (- 0) into 0
5.776 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
5.776 * [taylor]: Taking taylor expansion of (pow J 2) in U
5.776 * [taylor]: Taking taylor expansion of J in U
5.776 * [backup-simplify]: Simplify J into J
5.776 * [backup-simplify]: Simplify (* 1 1) into 1
5.776 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
5.776 * [backup-simplify]: Simplify (* J J) into (pow J 2)
5.777 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
5.777 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
5.777 * [taylor]: Taking taylor expansion of 1 in U
5.777 * [backup-simplify]: Simplify 1 into 1
5.777 * [backup-simplify]: Simplify (+ 0 1) into 1
5.778 * [backup-simplify]: Simplify (sqrt 1) into 1
5.778 * [backup-simplify]: Simplify (+ 0 0) into 0
5.779 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.779 * [taylor]: Taking taylor expansion of 1 in J
5.779 * [backup-simplify]: Simplify 1 into 1
5.779 * [taylor]: Taking taylor expansion of 0 in J
5.779 * [backup-simplify]: Simplify 0 into 0
5.779 * [taylor]: Taking taylor expansion of 1 in K
5.779 * [backup-simplify]: Simplify 1 into 1
5.779 * [backup-simplify]: Simplify 1 into 1
5.779 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
5.780 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
5.781 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
5.781 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
5.781 * [taylor]: Taking taylor expansion of 1/8 in J
5.782 * [backup-simplify]: Simplify 1/8 into 1/8
5.782 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
5.782 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
5.782 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
5.782 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
5.782 * [taylor]: Taking taylor expansion of 1/2 in J
5.782 * [backup-simplify]: Simplify 1/2 into 1/2
5.782 * [taylor]: Taking taylor expansion of K in J
5.782 * [backup-simplify]: Simplify K into K
5.782 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
5.782 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
5.782 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
5.782 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
5.782 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
5.783 * [backup-simplify]: Simplify (- 0) into 0
5.783 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
5.783 * [taylor]: Taking taylor expansion of (pow J 2) in J
5.783 * [taylor]: Taking taylor expansion of J in J
5.783 * [backup-simplify]: Simplify 0 into 0
5.783 * [backup-simplify]: Simplify 1 into 1
5.783 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
5.783 * [backup-simplify]: Simplify (* 1 1) into 1
5.784 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
5.784 * [backup-simplify]: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2))
5.784 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.785 * [backup-simplify]: Simplify (+ 0) into 0
5.785 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
5.786 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
5.787 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.787 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
5.788 * [backup-simplify]: Simplify (- 0) into 0
5.788 * [backup-simplify]: Simplify (+ 0 0) into 0
5.788 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
5.789 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
5.789 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
5.789 * [taylor]: Taking taylor expansion of 0 in K
5.789 * [backup-simplify]: Simplify 0 into 0
5.789 * [backup-simplify]: Simplify 0 into 0
5.789 * [taylor]: Taking taylor expansion of 0 in K
5.789 * [backup-simplify]: Simplify 0 into 0
5.789 * [backup-simplify]: Simplify 0 into 0
5.789 * [taylor]: Taking taylor expansion of 0 in K
5.789 * [backup-simplify]: Simplify 0 into 0
5.790 * [backup-simplify]: Simplify 0 into 0
5.790 * [backup-simplify]: Simplify 0 into 0
5.790 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.790 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
5.791 * [backup-simplify]: Simplify (+ 0) into 0
5.791 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
5.792 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
5.793 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.793 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
5.794 * [backup-simplify]: Simplify (- 0) into 0
5.794 * [backup-simplify]: Simplify (+ 0 0) into 0
5.794 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
5.794 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0
5.795 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
5.796 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0
5.796 * [backup-simplify]: Simplify (+ 0 0) into 0
5.797 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0
5.797 * [taylor]: Taking taylor expansion of 0 in J
5.797 * [backup-simplify]: Simplify 0 into 0
5.798 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.800 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
5.801 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
5.802 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
5.802 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
5.803 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
5.803 * [backup-simplify]: Simplify (- 0) into 0
5.804 * [backup-simplify]: Simplify (+ 0 0) into 0
5.804 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0
5.805 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
5.805 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
5.805 * [taylor]: Taking taylor expansion of 0 in K
5.805 * [backup-simplify]: Simplify 0 into 0
5.805 * [backup-simplify]: Simplify 0 into 0
5.805 * [taylor]: Taking taylor expansion of 0 in K
5.805 * [backup-simplify]: Simplify 0 into 0
5.805 * [backup-simplify]: Simplify 0 into 0
5.805 * [backup-simplify]: Simplify 1 into 1
5.805 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
5.805 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U J K) around 0
5.805 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K
5.805 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K
5.805 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
5.805 * [taylor]: Taking taylor expansion of 1/4 in K
5.805 * [backup-simplify]: Simplify 1/4 into 1/4
5.805 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
5.805 * [taylor]: Taking taylor expansion of (pow J 2) in K
5.805 * [taylor]: Taking taylor expansion of J in K
5.806 * [backup-simplify]: Simplify J into J
5.806 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
5.806 * [taylor]: Taking taylor expansion of (pow U 2) in K
5.806 * [taylor]: Taking taylor expansion of U in K
5.806 * [backup-simplify]: Simplify U into U
5.806 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
5.806 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
5.806 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
5.806 * [taylor]: Taking taylor expansion of 1/2 in K
5.806 * [backup-simplify]: Simplify 1/2 into 1/2
5.806 * [taylor]: Taking taylor expansion of K in K
5.806 * [backup-simplify]: Simplify 0 into 0
5.806 * [backup-simplify]: Simplify 1 into 1
5.806 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.806 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
5.806 * [backup-simplify]: Simplify (* J J) into (pow J 2)
5.806 * [backup-simplify]: Simplify (* U U) into (pow U 2)
5.806 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
5.806 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
5.806 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
5.806 * [taylor]: Taking taylor expansion of 1 in K
5.806 * [backup-simplify]: Simplify 1 into 1
5.807 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))
5.807 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)
5.807 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
5.807 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
5.807 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
5.807 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
5.807 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
5.808 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
5.808 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
5.808 * [backup-simplify]: Simplify (+ 0 0) into 0
5.809 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
5.809 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
5.809 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
5.809 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
5.809 * [taylor]: Taking taylor expansion of 1/4 in J
5.809 * [backup-simplify]: Simplify 1/4 into 1/4
5.809 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
5.809 * [taylor]: Taking taylor expansion of (pow J 2) in J
5.809 * [taylor]: Taking taylor expansion of J in J
5.809 * [backup-simplify]: Simplify 0 into 0
5.809 * [backup-simplify]: Simplify 1 into 1
5.809 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
5.809 * [taylor]: Taking taylor expansion of (pow U 2) in J
5.809 * [taylor]: Taking taylor expansion of U in J
5.809 * [backup-simplify]: Simplify U into U
5.809 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
5.809 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
5.809 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
5.809 * [taylor]: Taking taylor expansion of 1/2 in J
5.809 * [backup-simplify]: Simplify 1/2 into 1/2
5.809 * [taylor]: Taking taylor expansion of K in J
5.809 * [backup-simplify]: Simplify K into K
5.809 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
5.809 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
5.809 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
5.809 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
5.809 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
5.809 * [backup-simplify]: Simplify (- 0) into 0
5.809 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
5.810 * [backup-simplify]: Simplify (* 1 1) into 1
5.810 * [backup-simplify]: Simplify (* U U) into (pow U 2)
5.810 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
5.810 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
5.810 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
5.810 * [taylor]: Taking taylor expansion of 1 in J
5.810 * [backup-simplify]: Simplify 1 into 1
5.810 * [backup-simplify]: Simplify (+ 0 1) into 1
5.811 * [backup-simplify]: Simplify (sqrt 1) into 1
5.811 * [backup-simplify]: Simplify (+ 0 0) into 0
5.811 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.811 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
5.811 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
5.811 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
5.811 * [taylor]: Taking taylor expansion of 1/4 in U
5.811 * [backup-simplify]: Simplify 1/4 into 1/4
5.811 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
5.811 * [taylor]: Taking taylor expansion of (pow J 2) in U
5.811 * [taylor]: Taking taylor expansion of J in U
5.811 * [backup-simplify]: Simplify J into J
5.811 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
5.811 * [taylor]: Taking taylor expansion of (pow U 2) in U
5.811 * [taylor]: Taking taylor expansion of U in U
5.811 * [backup-simplify]: Simplify 0 into 0
5.811 * [backup-simplify]: Simplify 1 into 1
5.811 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
5.811 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
5.811 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
5.811 * [taylor]: Taking taylor expansion of 1/2 in U
5.811 * [backup-simplify]: Simplify 1/2 into 1/2
5.812 * [taylor]: Taking taylor expansion of K in U
5.812 * [backup-simplify]: Simplify K into K
5.812 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
5.812 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
5.812 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
5.812 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
5.812 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
5.812 * [backup-simplify]: Simplify (- 0) into 0
5.812 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
5.812 * [backup-simplify]: Simplify (* J J) into (pow J 2)
5.812 * [backup-simplify]: Simplify (* 1 1) into 1
5.812 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
5.813 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
5.813 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
5.813 * [taylor]: Taking taylor expansion of 1 in U
5.813 * [backup-simplify]: Simplify 1 into 1
5.813 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
5.813 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
5.813 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
5.813 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
5.813 * [backup-simplify]: Simplify (+ 0) into 0
5.814 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
5.814 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
5.814 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.815 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
5.815 * [backup-simplify]: Simplify (- 0) into 0
5.815 * [backup-simplify]: Simplify (+ 0 0) into 0
5.815 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
5.815 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.816 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
5.816 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
5.816 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
5.817 * [backup-simplify]: Simplify (+ 0 0) into 0
5.817 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
5.817 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
5.817 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
5.817 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
5.817 * [taylor]: Taking taylor expansion of 1/4 in U
5.817 * [backup-simplify]: Simplify 1/4 into 1/4
5.817 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
5.817 * [taylor]: Taking taylor expansion of (pow J 2) in U
5.817 * [taylor]: Taking taylor expansion of J in U
5.817 * [backup-simplify]: Simplify J into J
5.817 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
5.817 * [taylor]: Taking taylor expansion of (pow U 2) in U
5.817 * [taylor]: Taking taylor expansion of U in U
5.817 * [backup-simplify]: Simplify 0 into 0
5.817 * [backup-simplify]: Simplify 1 into 1
5.817 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
5.817 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
5.817 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
5.817 * [taylor]: Taking taylor expansion of 1/2 in U
5.817 * [backup-simplify]: Simplify 1/2 into 1/2
5.817 * [taylor]: Taking taylor expansion of K in U
5.817 * [backup-simplify]: Simplify K into K
5.817 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
5.817 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
5.817 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
5.817 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
5.817 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
5.818 * [backup-simplify]: Simplify (- 0) into 0
5.818 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
5.818 * [backup-simplify]: Simplify (* J J) into (pow J 2)
5.818 * [backup-simplify]: Simplify (* 1 1) into 1
5.818 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
5.818 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
5.818 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
5.818 * [taylor]: Taking taylor expansion of 1 in U
5.818 * [backup-simplify]: Simplify 1 into 1
5.818 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
5.819 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
5.819 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
5.819 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
5.819 * [backup-simplify]: Simplify (+ 0) into 0
5.819 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
5.819 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
5.820 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.820 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
5.820 * [backup-simplify]: Simplify (- 0) into 0
5.821 * [backup-simplify]: Simplify (+ 0 0) into 0
5.821 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
5.821 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.821 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
5.822 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
5.822 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
5.822 * [backup-simplify]: Simplify (+ 0 0) into 0
5.822 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
5.822 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J
5.823 * [taylor]: Taking taylor expansion of 1/2 in J
5.823 * [backup-simplify]: Simplify 1/2 into 1/2
5.823 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J
5.823 * [taylor]: Taking taylor expansion of J in J
5.823 * [backup-simplify]: Simplify 0 into 0
5.823 * [backup-simplify]: Simplify 1 into 1
5.823 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
5.823 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
5.823 * [taylor]: Taking taylor expansion of 1/2 in J
5.823 * [backup-simplify]: Simplify 1/2 into 1/2
5.823 * [taylor]: Taking taylor expansion of K in J
5.823 * [backup-simplify]: Simplify K into K
5.823 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
5.823 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
5.823 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
5.823 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
5.823 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
5.823 * [backup-simplify]: Simplify (- 0) into 0
5.823 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
5.823 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K)))
5.823 * [taylor]: Taking taylor expansion of 0 in J
5.823 * [backup-simplify]: Simplify 0 into 0
5.823 * [taylor]: Taking taylor expansion of 0 in K
5.823 * [backup-simplify]: Simplify 0 into 0
5.823 * [backup-simplify]: Simplify 0 into 0
5.823 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K)))
5.823 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K
5.823 * [taylor]: Taking taylor expansion of 1/2 in K
5.823 * [backup-simplify]: Simplify 1/2 into 1/2
5.823 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
5.824 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
5.824 * [taylor]: Taking taylor expansion of 1/2 in K
5.824 * [backup-simplify]: Simplify 1/2 into 1/2
5.824 * [taylor]: Taking taylor expansion of K in K
5.824 * [backup-simplify]: Simplify 0 into 0
5.824 * [backup-simplify]: Simplify 1 into 1
5.824 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.824 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
5.824 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
5.824 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
5.824 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
5.825 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
5.825 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
5.825 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
5.826 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
5.826 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
5.826 * [backup-simplify]: Simplify (- 0) into 0
5.827 * [backup-simplify]: Simplify (+ 0 0) into 0
5.827 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
5.828 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.828 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
5.828 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
5.829 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0
5.829 * [backup-simplify]: Simplify (+ 0 1) into 1
5.830 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J)
5.830 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
5.830 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
5.830 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
5.830 * [taylor]: Taking taylor expansion of 1/2 in J
5.830 * [backup-simplify]: Simplify 1/2 into 1/2
5.830 * [taylor]: Taking taylor expansion of K in J
5.830 * [backup-simplify]: Simplify K into K
5.830 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
5.830 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
5.830 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
5.830 * [taylor]: Taking taylor expansion of J in J
5.830 * [backup-simplify]: Simplify 0 into 0
5.830 * [backup-simplify]: Simplify 1 into 1
5.830 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
5.830 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
5.830 * [backup-simplify]: Simplify (- 0) into 0
5.830 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
5.830 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
5.831 * [backup-simplify]: Simplify (+ 0) into 0
5.831 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
5.831 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
5.832 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.832 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
5.832 * [backup-simplify]: Simplify (- 0) into 0
5.833 * [backup-simplify]: Simplify (+ 0 0) into 0
5.833 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0
5.833 * [taylor]: Taking taylor expansion of 0 in K
5.833 * [backup-simplify]: Simplify 0 into 0
5.833 * [backup-simplify]: Simplify 0 into 0
5.833 * [taylor]: Taking taylor expansion of 0 in K
5.833 * [backup-simplify]: Simplify 0 into 0
5.833 * [backup-simplify]: Simplify 0 into 0
5.834 * [backup-simplify]: Simplify (+ 0) into 0
5.834 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
5.834 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
5.834 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.835 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
5.835 * [backup-simplify]: Simplify (- 0) into 0
5.835 * [backup-simplify]: Simplify (+ 0 0) into 0
5.835 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
5.836 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0
5.836 * [taylor]: Taking taylor expansion of 0 in K
5.836 * [backup-simplify]: Simplify 0 into 0
5.836 * [backup-simplify]: Simplify 0 into 0
5.836 * [backup-simplify]: Simplify 0 into 0
5.836 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
5.836 * [backup-simplify]: Simplify 0 into 0
5.837 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
5.838 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
5.839 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.839 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
5.846 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
5.847 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
5.848 * [backup-simplify]: Simplify (- 0) into 0
5.848 * [backup-simplify]: Simplify (+ 0 0) into 0
5.849 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
5.850 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.852 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0
5.852 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
5.854 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
5.854 * [backup-simplify]: Simplify (+ 0 0) into 0
5.855 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0
5.855 * [taylor]: Taking taylor expansion of 0 in J
5.855 * [backup-simplify]: Simplify 0 into 0
5.855 * [taylor]: Taking taylor expansion of 0 in K
5.855 * [backup-simplify]: Simplify 0 into 0
5.855 * [backup-simplify]: Simplify 0 into 0
5.855 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
5.856 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))
5.856 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U J K) around 0
5.856 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K
5.856 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K
5.856 * [taylor]: Taking taylor expansion of 1 in K
5.856 * [backup-simplify]: Simplify 1 into 1
5.856 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
5.856 * [taylor]: Taking taylor expansion of 1/4 in K
5.856 * [backup-simplify]: Simplify 1/4 into 1/4
5.856 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
5.856 * [taylor]: Taking taylor expansion of (pow J 2) in K
5.856 * [taylor]: Taking taylor expansion of J in K
5.856 * [backup-simplify]: Simplify J into J
5.856 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
5.856 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
5.856 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
5.856 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
5.856 * [taylor]: Taking taylor expansion of -1/2 in K
5.856 * [backup-simplify]: Simplify -1/2 into -1/2
5.857 * [taylor]: Taking taylor expansion of K in K
5.857 * [backup-simplify]: Simplify 0 into 0
5.857 * [backup-simplify]: Simplify 1 into 1
5.857 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
5.857 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
5.857 * [taylor]: Taking taylor expansion of (pow U 2) in K
5.857 * [taylor]: Taking taylor expansion of U in K
5.857 * [backup-simplify]: Simplify U into U
5.857 * [backup-simplify]: Simplify (* J J) into (pow J 2)
5.858 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
5.858 * [backup-simplify]: Simplify (* U U) into (pow U 2)
5.858 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
5.858 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
5.858 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
5.859 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))
5.859 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))
5.859 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
5.859 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
5.860 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
5.860 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
5.860 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0
5.861 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
5.862 * [backup-simplify]: Simplify (+ 0 0) into 0
5.862 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0
5.862 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
5.862 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
5.863 * [taylor]: Taking taylor expansion of 1 in J
5.863 * [backup-simplify]: Simplify 1 into 1
5.863 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
5.863 * [taylor]: Taking taylor expansion of 1/4 in J
5.863 * [backup-simplify]: Simplify 1/4 into 1/4
5.863 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
5.863 * [taylor]: Taking taylor expansion of (pow J 2) in J
5.863 * [taylor]: Taking taylor expansion of J in J
5.863 * [backup-simplify]: Simplify 0 into 0
5.863 * [backup-simplify]: Simplify 1 into 1
5.863 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
5.863 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
5.863 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
5.863 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
5.863 * [taylor]: Taking taylor expansion of -1/2 in J
5.863 * [backup-simplify]: Simplify -1/2 into -1/2
5.863 * [taylor]: Taking taylor expansion of K in J
5.863 * [backup-simplify]: Simplify K into K
5.863 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
5.863 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
5.863 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
5.863 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
5.863 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
5.864 * [backup-simplify]: Simplify (- 0) into 0
5.864 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
5.864 * [taylor]: Taking taylor expansion of (pow U 2) in J
5.864 * [taylor]: Taking taylor expansion of U in J
5.864 * [backup-simplify]: Simplify U into U
5.865 * [backup-simplify]: Simplify (* 1 1) into 1
5.865 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
5.865 * [backup-simplify]: Simplify (* U U) into (pow U 2)
5.865 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
5.865 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
5.866 * [backup-simplify]: Simplify (+ 1 0) into 1
5.867 * [backup-simplify]: Simplify (sqrt 1) into 1
5.867 * [backup-simplify]: Simplify (+ 0 0) into 0
5.868 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.868 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
5.868 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
5.868 * [taylor]: Taking taylor expansion of 1 in U
5.868 * [backup-simplify]: Simplify 1 into 1
5.868 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
5.868 * [taylor]: Taking taylor expansion of 1/4 in U
5.868 * [backup-simplify]: Simplify 1/4 into 1/4
5.868 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
5.868 * [taylor]: Taking taylor expansion of (pow J 2) in U
5.868 * [taylor]: Taking taylor expansion of J in U
5.868 * [backup-simplify]: Simplify J into J
5.868 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
5.868 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
5.868 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
5.869 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
5.869 * [taylor]: Taking taylor expansion of -1/2 in U
5.869 * [backup-simplify]: Simplify -1/2 into -1/2
5.869 * [taylor]: Taking taylor expansion of K in U
5.869 * [backup-simplify]: Simplify K into K
5.869 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
5.869 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
5.869 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
5.869 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
5.869 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
5.870 * [backup-simplify]: Simplify (- 0) into 0
5.870 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
5.870 * [taylor]: Taking taylor expansion of (pow U 2) in U
5.870 * [taylor]: Taking taylor expansion of U in U
5.870 * [backup-simplify]: Simplify 0 into 0
5.870 * [backup-simplify]: Simplify 1 into 1
5.870 * [backup-simplify]: Simplify (* J J) into (pow J 2)
5.870 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
5.870 * [backup-simplify]: Simplify (* 1 1) into 1
5.871 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
5.871 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
5.871 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
5.871 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
5.871 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
5.872 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
5.872 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.873 * [backup-simplify]: Simplify (+ 0) into 0
5.873 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
5.874 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
5.874 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.875 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
5.875 * [backup-simplify]: Simplify (- 0) into 0
5.876 * [backup-simplify]: Simplify (+ 0 0) into 0
5.876 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
5.876 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
5.877 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
5.877 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
5.878 * [backup-simplify]: Simplify (+ 0 0) into 0
5.878 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
5.878 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
5.878 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
5.878 * [taylor]: Taking taylor expansion of 1 in U
5.878 * [backup-simplify]: Simplify 1 into 1
5.878 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
5.878 * [taylor]: Taking taylor expansion of 1/4 in U
5.878 * [backup-simplify]: Simplify 1/4 into 1/4
5.878 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
5.878 * [taylor]: Taking taylor expansion of (pow J 2) in U
5.878 * [taylor]: Taking taylor expansion of J in U
5.878 * [backup-simplify]: Simplify J into J
5.878 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
5.878 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
5.879 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
5.879 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
5.879 * [taylor]: Taking taylor expansion of -1/2 in U
5.879 * [backup-simplify]: Simplify -1/2 into -1/2
5.879 * [taylor]: Taking taylor expansion of K in U
5.879 * [backup-simplify]: Simplify K into K
5.879 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
5.879 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
5.879 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
5.879 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
5.879 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
5.879 * [backup-simplify]: Simplify (- 0) into 0
5.880 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
5.880 * [taylor]: Taking taylor expansion of (pow U 2) in U
5.880 * [taylor]: Taking taylor expansion of U in U
5.880 * [backup-simplify]: Simplify 0 into 0
5.880 * [backup-simplify]: Simplify 1 into 1
5.880 * [backup-simplify]: Simplify (* J J) into (pow J 2)
5.880 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
5.880 * [backup-simplify]: Simplify (* 1 1) into 1
5.880 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
5.881 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
5.881 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
5.881 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
5.881 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
5.881 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
5.883 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.883 * [backup-simplify]: Simplify (+ 0) into 0
5.884 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
5.884 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
5.884 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.885 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
5.885 * [backup-simplify]: Simplify (- 0) into 0
5.886 * [backup-simplify]: Simplify (+ 0 0) into 0
5.886 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
5.886 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
5.887 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
5.888 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
5.888 * [backup-simplify]: Simplify (+ 0 0) into 0
5.888 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
5.888 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J
5.888 * [taylor]: Taking taylor expansion of 1/2 in J
5.888 * [backup-simplify]: Simplify 1/2 into 1/2
5.889 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J
5.889 * [taylor]: Taking taylor expansion of J in J
5.889 * [backup-simplify]: Simplify 0 into 0
5.889 * [backup-simplify]: Simplify 1 into 1
5.889 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
5.889 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
5.889 * [taylor]: Taking taylor expansion of -1/2 in J
5.889 * [backup-simplify]: Simplify -1/2 into -1/2
5.889 * [taylor]: Taking taylor expansion of K in J
5.889 * [backup-simplify]: Simplify K into K
5.889 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
5.889 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
5.889 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
5.889 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
5.889 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
5.890 * [backup-simplify]: Simplify (- 0) into 0
5.890 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
5.890 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K)))
5.890 * [taylor]: Taking taylor expansion of 0 in J
5.890 * [backup-simplify]: Simplify 0 into 0
5.890 * [taylor]: Taking taylor expansion of 0 in K
5.890 * [backup-simplify]: Simplify 0 into 0
5.890 * [backup-simplify]: Simplify 0 into 0
5.890 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K)))
5.890 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K
5.890 * [taylor]: Taking taylor expansion of 1/2 in K
5.890 * [backup-simplify]: Simplify 1/2 into 1/2
5.890 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
5.890 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
5.890 * [taylor]: Taking taylor expansion of -1/2 in K
5.890 * [backup-simplify]: Simplify -1/2 into -1/2
5.890 * [taylor]: Taking taylor expansion of K in K
5.890 * [backup-simplify]: Simplify 0 into 0
5.890 * [backup-simplify]: Simplify 1 into 1
5.891 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
5.891 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
5.891 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
5.891 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
5.892 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
5.893 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.894 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
5.894 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
5.895 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
5.895 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
5.896 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
5.896 * [backup-simplify]: Simplify (- 0) into 0
5.897 * [backup-simplify]: Simplify (+ 0 0) into 0
5.897 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
5.898 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
5.899 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
5.900 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0
5.900 * [backup-simplify]: Simplify (+ 1 0) into 1
5.901 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J)
5.901 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
5.901 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
5.901 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
5.901 * [taylor]: Taking taylor expansion of -1/2 in J
5.901 * [backup-simplify]: Simplify -1/2 into -1/2
5.901 * [taylor]: Taking taylor expansion of K in J
5.901 * [backup-simplify]: Simplify K into K
5.901 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
5.901 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
5.901 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
5.901 * [taylor]: Taking taylor expansion of J in J
5.901 * [backup-simplify]: Simplify 0 into 0
5.901 * [backup-simplify]: Simplify 1 into 1
5.901 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
5.901 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
5.901 * [backup-simplify]: Simplify (- 0) into 0
5.901 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
5.901 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
5.902 * [backup-simplify]: Simplify (+ 0) into 0
5.902 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
5.902 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
5.902 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.903 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
5.903 * [backup-simplify]: Simplify (- 0) into 0
5.903 * [backup-simplify]: Simplify (+ 0 0) into 0
5.904 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0
5.904 * [taylor]: Taking taylor expansion of 0 in K
5.904 * [backup-simplify]: Simplify 0 into 0
5.904 * [backup-simplify]: Simplify 0 into 0
5.904 * [taylor]: Taking taylor expansion of 0 in K
5.904 * [backup-simplify]: Simplify 0 into 0
5.904 * [backup-simplify]: Simplify 0 into 0
5.904 * [backup-simplify]: Simplify (+ 0) into 0
5.904 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
5.904 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
5.905 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.905 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
5.905 * [backup-simplify]: Simplify (- 0) into 0
5.906 * [backup-simplify]: Simplify (+ 0 0) into 0
5.906 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
5.906 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0
5.906 * [taylor]: Taking taylor expansion of 0 in K
5.906 * [backup-simplify]: Simplify 0 into 0
5.906 * [backup-simplify]: Simplify 0 into 0
5.906 * [backup-simplify]: Simplify 0 into 0
5.906 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
5.906 * [backup-simplify]: Simplify 0 into 0
5.907 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
5.908 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.908 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
5.909 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.909 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
5.910 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
5.910 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
5.910 * [backup-simplify]: Simplify (- 0) into 0
5.911 * [backup-simplify]: Simplify (+ 0 0) into 0
5.911 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
5.912 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.912 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
5.913 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
5.913 * [backup-simplify]: Simplify (+ 0 0) into 0
5.913 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
5.913 * [taylor]: Taking taylor expansion of 0 in J
5.913 * [backup-simplify]: Simplify 0 into 0
5.913 * [taylor]: Taking taylor expansion of 0 in K
5.913 * [backup-simplify]: Simplify 0 into 0
5.913 * [backup-simplify]: Simplify 0 into 0
5.913 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
5.914 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1)
5.914 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))
5.914 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U J K) around 0
5.914 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K
5.914 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K
5.914 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
5.914 * [taylor]: Taking taylor expansion of 1/4 in K
5.914 * [backup-simplify]: Simplify 1/4 into 1/4
5.914 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
5.914 * [taylor]: Taking taylor expansion of (pow U 2) in K
5.914 * [taylor]: Taking taylor expansion of U in K
5.914 * [backup-simplify]: Simplify U into U
5.914 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
5.914 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
5.914 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
5.914 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
5.914 * [taylor]: Taking taylor expansion of 1/2 in K
5.914 * [backup-simplify]: Simplify 1/2 into 1/2
5.914 * [taylor]: Taking taylor expansion of K in K
5.914 * [backup-simplify]: Simplify 0 into 0
5.914 * [backup-simplify]: Simplify 1 into 1
5.914 * [backup-simplify]: Simplify (* 1/2 0) into 0
5.915 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
5.915 * [taylor]: Taking taylor expansion of (pow J 2) in K
5.915 * [taylor]: Taking taylor expansion of J in K
5.915 * [backup-simplify]: Simplify J into J
5.915 * [backup-simplify]: Simplify (* U U) into (pow U 2)
5.915 * [backup-simplify]: Simplify (* 1 1) into 1
5.915 * [backup-simplify]: Simplify (* J J) into (pow J 2)
5.915 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
5.915 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
5.915 * [taylor]: Taking taylor expansion of 1 in K
5.915 * [backup-simplify]: Simplify 1 into 1
5.915 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2)))
5.916 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
5.916 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
5.916 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
5.916 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
5.916 * [backup-simplify]: Simplify (+ 0) into 0
5.916 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.917 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
5.917 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
5.917 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0
5.918 * [backup-simplify]: Simplify (+ 0 0) into 0
5.918 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
5.918 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J
5.918 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J
5.918 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
5.918 * [taylor]: Taking taylor expansion of 1/4 in J
5.918 * [backup-simplify]: Simplify 1/4 into 1/4
5.918 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
5.918 * [taylor]: Taking taylor expansion of (pow U 2) in J
5.918 * [taylor]: Taking taylor expansion of U in J
5.918 * [backup-simplify]: Simplify U into U
5.918 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
5.918 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
5.918 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
5.918 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
5.918 * [taylor]: Taking taylor expansion of 1/2 in J
5.918 * [backup-simplify]: Simplify 1/2 into 1/2
5.918 * [taylor]: Taking taylor expansion of K in J
5.918 * [backup-simplify]: Simplify K into K
5.918 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
5.918 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
5.918 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
5.918 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
5.918 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
5.918 * [backup-simplify]: Simplify (- 0) into 0
5.919 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
5.919 * [taylor]: Taking taylor expansion of (pow J 2) in J
5.919 * [taylor]: Taking taylor expansion of J in J
5.919 * [backup-simplify]: Simplify 0 into 0
5.919 * [backup-simplify]: Simplify 1 into 1
5.919 * [backup-simplify]: Simplify (* U U) into (pow U 2)
5.919 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
5.919 * [backup-simplify]: Simplify (* 1 1) into 1
5.919 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
5.919 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
5.919 * [taylor]: Taking taylor expansion of 1 in J
5.919 * [backup-simplify]: Simplify 1 into 1
5.919 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
5.919 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
5.920 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
5.920 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
5.920 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.920 * [backup-simplify]: Simplify (+ 0) into 0
5.921 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
5.921 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
5.921 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.922 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
5.922 * [backup-simplify]: Simplify (- 0) into 0
5.922 * [backup-simplify]: Simplify (+ 0 0) into 0
5.922 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
5.922 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
5.923 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
5.923 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0
5.923 * [backup-simplify]: Simplify (+ 0 0) into 0
5.923 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
5.924 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
5.924 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
5.924 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
5.924 * [taylor]: Taking taylor expansion of 1/4 in U
5.924 * [backup-simplify]: Simplify 1/4 into 1/4
5.924 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
5.924 * [taylor]: Taking taylor expansion of (pow U 2) in U
5.924 * [taylor]: Taking taylor expansion of U in U
5.924 * [backup-simplify]: Simplify 0 into 0
5.924 * [backup-simplify]: Simplify 1 into 1
5.924 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
5.924 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
5.924 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
5.924 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
5.924 * [taylor]: Taking taylor expansion of 1/2 in U
5.924 * [backup-simplify]: Simplify 1/2 into 1/2
5.924 * [taylor]: Taking taylor expansion of K in U
5.924 * [backup-simplify]: Simplify K into K
5.924 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
5.924 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
5.924 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
5.924 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
5.924 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
5.924 * [backup-simplify]: Simplify (- 0) into 0
5.924 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
5.924 * [taylor]: Taking taylor expansion of (pow J 2) in U
5.924 * [taylor]: Taking taylor expansion of J in U
5.924 * [backup-simplify]: Simplify J into J
5.925 * [backup-simplify]: Simplify (* 1 1) into 1
5.925 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
5.925 * [backup-simplify]: Simplify (* J J) into (pow J 2)
5.925 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
5.925 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
5.925 * [taylor]: Taking taylor expansion of 1 in U
5.925 * [backup-simplify]: Simplify 1 into 1
5.925 * [backup-simplify]: Simplify (+ 0 1) into 1
5.925 * [backup-simplify]: Simplify (sqrt 1) into 1
5.926 * [backup-simplify]: Simplify (+ 0 0) into 0
5.926 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.926 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
5.926 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
5.926 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
5.926 * [taylor]: Taking taylor expansion of 1/4 in U
5.926 * [backup-simplify]: Simplify 1/4 into 1/4
5.926 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
5.926 * [taylor]: Taking taylor expansion of (pow U 2) in U
5.926 * [taylor]: Taking taylor expansion of U in U
5.926 * [backup-simplify]: Simplify 0 into 0
5.926 * [backup-simplify]: Simplify 1 into 1
5.926 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
5.926 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
5.926 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
5.926 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
5.926 * [taylor]: Taking taylor expansion of 1/2 in U
5.926 * [backup-simplify]: Simplify 1/2 into 1/2
5.926 * [taylor]: Taking taylor expansion of K in U
5.926 * [backup-simplify]: Simplify K into K
5.926 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
5.926 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
5.926 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
5.927 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
5.927 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
5.927 * [backup-simplify]: Simplify (- 0) into 0
5.927 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
5.927 * [taylor]: Taking taylor expansion of (pow J 2) in U
5.927 * [taylor]: Taking taylor expansion of J in U
5.927 * [backup-simplify]: Simplify J into J
5.927 * [backup-simplify]: Simplify (* 1 1) into 1
5.927 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
5.927 * [backup-simplify]: Simplify (* J J) into (pow J 2)
5.927 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
5.928 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
5.928 * [taylor]: Taking taylor expansion of 1 in U
5.928 * [backup-simplify]: Simplify 1 into 1
5.928 * [backup-simplify]: Simplify (+ 0 1) into 1
5.928 * [backup-simplify]: Simplify (sqrt 1) into 1
5.928 * [backup-simplify]: Simplify (+ 0 0) into 0
5.929 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.929 * [taylor]: Taking taylor expansion of 1 in J
5.929 * [backup-simplify]: Simplify 1 into 1
5.929 * [taylor]: Taking taylor expansion of 0 in J
5.929 * [backup-simplify]: Simplify 0 into 0
5.929 * [taylor]: Taking taylor expansion of 1 in K
5.929 * [backup-simplify]: Simplify 1 into 1
5.929 * [backup-simplify]: Simplify 1 into 1
5.929 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
5.929 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
5.930 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
5.930 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
5.930 * [taylor]: Taking taylor expansion of 1/8 in J
5.930 * [backup-simplify]: Simplify 1/8 into 1/8
5.930 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
5.930 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
5.930 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
5.930 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
5.930 * [taylor]: Taking taylor expansion of 1/2 in J
5.930 * [backup-simplify]: Simplify 1/2 into 1/2
5.930 * [taylor]: Taking taylor expansion of K in J
5.930 * [backup-simplify]: Simplify K into K
5.930 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
5.930 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
5.930 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
5.930 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
5.930 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
5.931 * [backup-simplify]: Simplify (- 0) into 0
5.931 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
5.931 * [taylor]: Taking taylor expansion of (pow J 2) in J
5.931 * [taylor]: Taking taylor expansion of J in J
5.931 * [backup-simplify]: Simplify 0 into 0
5.931 * [backup-simplify]: Simplify 1 into 1
5.931 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
5.931 * [backup-simplify]: Simplify (* 1 1) into 1
5.931 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
5.931 * [backup-simplify]: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2))
5.932 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.932 * [backup-simplify]: Simplify (+ 0) into 0
5.933 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
5.933 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
5.934 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.934 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
5.935 * [backup-simplify]: Simplify (- 0) into 0
5.935 * [backup-simplify]: Simplify (+ 0 0) into 0
5.935 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
5.936 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
5.936 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
5.936 * [taylor]: Taking taylor expansion of 0 in K
5.936 * [backup-simplify]: Simplify 0 into 0
5.936 * [backup-simplify]: Simplify 0 into 0
5.936 * [taylor]: Taking taylor expansion of 0 in K
5.936 * [backup-simplify]: Simplify 0 into 0
5.936 * [backup-simplify]: Simplify 0 into 0
5.937 * [taylor]: Taking taylor expansion of 0 in K
5.937 * [backup-simplify]: Simplify 0 into 0
5.937 * [backup-simplify]: Simplify 0 into 0
5.937 * [backup-simplify]: Simplify 0 into 0
5.937 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.937 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
5.938 * [backup-simplify]: Simplify (+ 0) into 0
5.938 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
5.939 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
5.940 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.940 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
5.941 * [backup-simplify]: Simplify (- 0) into 0
5.941 * [backup-simplify]: Simplify (+ 0 0) into 0
5.941 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
5.941 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0
5.942 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
5.943 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0
5.943 * [backup-simplify]: Simplify (+ 0 0) into 0
5.944 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0
5.944 * [taylor]: Taking taylor expansion of 0 in J
5.944 * [backup-simplify]: Simplify 0 into 0
5.945 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.946 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
5.947 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
5.948 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
5.949 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
5.949 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
5.950 * [backup-simplify]: Simplify (- 0) into 0
5.950 * [backup-simplify]: Simplify (+ 0 0) into 0
5.950 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0
5.951 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
5.952 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
5.952 * [taylor]: Taking taylor expansion of 0 in K
5.952 * [backup-simplify]: Simplify 0 into 0
5.952 * [backup-simplify]: Simplify 0 into 0
5.952 * [taylor]: Taking taylor expansion of 0 in K
5.952 * [backup-simplify]: Simplify 0 into 0
5.952 * [backup-simplify]: Simplify 0 into 0
5.952 * [backup-simplify]: Simplify 1 into 1
5.953 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
5.953 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U J K) around 0
5.953 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K
5.953 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K
5.953 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
5.953 * [taylor]: Taking taylor expansion of 1/4 in K
5.953 * [backup-simplify]: Simplify 1/4 into 1/4
5.953 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
5.953 * [taylor]: Taking taylor expansion of (pow J 2) in K
5.953 * [taylor]: Taking taylor expansion of J in K
5.953 * [backup-simplify]: Simplify J into J
5.953 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
5.953 * [taylor]: Taking taylor expansion of (pow U 2) in K
5.953 * [taylor]: Taking taylor expansion of U in K
5.953 * [backup-simplify]: Simplify U into U
5.953 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
5.953 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
5.953 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
5.953 * [taylor]: Taking taylor expansion of 1/2 in K
5.953 * [backup-simplify]: Simplify 1/2 into 1/2
5.953 * [taylor]: Taking taylor expansion of K in K
5.953 * [backup-simplify]: Simplify 0 into 0
5.953 * [backup-simplify]: Simplify 1 into 1
5.953 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.954 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
5.954 * [backup-simplify]: Simplify (* J J) into (pow J 2)
5.954 * [backup-simplify]: Simplify (* U U) into (pow U 2)
5.954 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
5.954 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
5.954 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
5.954 * [taylor]: Taking taylor expansion of 1 in K
5.954 * [backup-simplify]: Simplify 1 into 1
5.954 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))
5.955 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)
5.955 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
5.955 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
5.955 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
5.955 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
5.956 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
5.956 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
5.957 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
5.957 * [backup-simplify]: Simplify (+ 0 0) into 0
5.958 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
5.958 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
5.958 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
5.958 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
5.958 * [taylor]: Taking taylor expansion of 1/4 in J
5.958 * [backup-simplify]: Simplify 1/4 into 1/4
5.958 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
5.958 * [taylor]: Taking taylor expansion of (pow J 2) in J
5.958 * [taylor]: Taking taylor expansion of J in J
5.958 * [backup-simplify]: Simplify 0 into 0
5.958 * [backup-simplify]: Simplify 1 into 1
5.958 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
5.958 * [taylor]: Taking taylor expansion of (pow U 2) in J
5.958 * [taylor]: Taking taylor expansion of U in J
5.958 * [backup-simplify]: Simplify U into U
5.958 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
5.958 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
5.958 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
5.958 * [taylor]: Taking taylor expansion of 1/2 in J
5.958 * [backup-simplify]: Simplify 1/2 into 1/2
5.958 * [taylor]: Taking taylor expansion of K in J
5.958 * [backup-simplify]: Simplify K into K
5.958 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
5.959 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
5.959 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
5.959 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
5.959 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
5.959 * [backup-simplify]: Simplify (- 0) into 0
5.959 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
5.960 * [backup-simplify]: Simplify (* 1 1) into 1
5.960 * [backup-simplify]: Simplify (* U U) into (pow U 2)
5.960 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
5.960 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
5.960 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
5.960 * [taylor]: Taking taylor expansion of 1 in J
5.960 * [backup-simplify]: Simplify 1 into 1
5.961 * [backup-simplify]: Simplify (+ 0 1) into 1
5.961 * [backup-simplify]: Simplify (sqrt 1) into 1
5.962 * [backup-simplify]: Simplify (+ 0 0) into 0
5.962 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.962 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
5.962 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
5.963 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
5.963 * [taylor]: Taking taylor expansion of 1/4 in U
5.963 * [backup-simplify]: Simplify 1/4 into 1/4
5.963 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
5.963 * [taylor]: Taking taylor expansion of (pow J 2) in U
5.963 * [taylor]: Taking taylor expansion of J in U
5.963 * [backup-simplify]: Simplify J into J
5.963 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
5.963 * [taylor]: Taking taylor expansion of (pow U 2) in U
5.963 * [taylor]: Taking taylor expansion of U in U
5.963 * [backup-simplify]: Simplify 0 into 0
5.963 * [backup-simplify]: Simplify 1 into 1
5.963 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
5.963 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
5.963 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
5.963 * [taylor]: Taking taylor expansion of 1/2 in U
5.963 * [backup-simplify]: Simplify 1/2 into 1/2
5.963 * [taylor]: Taking taylor expansion of K in U
5.963 * [backup-simplify]: Simplify K into K
5.963 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
5.963 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
5.963 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
5.963 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
5.963 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
5.964 * [backup-simplify]: Simplify (- 0) into 0
5.964 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
5.964 * [backup-simplify]: Simplify (* J J) into (pow J 2)
5.964 * [backup-simplify]: Simplify (* 1 1) into 1
5.964 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
5.964 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
5.965 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
5.965 * [taylor]: Taking taylor expansion of 1 in U
5.965 * [backup-simplify]: Simplify 1 into 1
5.965 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
5.965 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
5.965 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
5.965 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
5.966 * [backup-simplify]: Simplify (+ 0) into 0
5.966 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
5.967 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
5.967 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.968 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
5.968 * [backup-simplify]: Simplify (- 0) into 0
5.969 * [backup-simplify]: Simplify (+ 0 0) into 0
5.969 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
5.970 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.970 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
5.971 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
5.971 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
5.972 * [backup-simplify]: Simplify (+ 0 0) into 0
5.972 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
5.972 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
5.972 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
5.972 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
5.972 * [taylor]: Taking taylor expansion of 1/4 in U
5.972 * [backup-simplify]: Simplify 1/4 into 1/4
5.972 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
5.972 * [taylor]: Taking taylor expansion of (pow J 2) in U
5.972 * [taylor]: Taking taylor expansion of J in U
5.972 * [backup-simplify]: Simplify J into J
5.972 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
5.972 * [taylor]: Taking taylor expansion of (pow U 2) in U
5.972 * [taylor]: Taking taylor expansion of U in U
5.972 * [backup-simplify]: Simplify 0 into 0
5.972 * [backup-simplify]: Simplify 1 into 1
5.972 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
5.972 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
5.972 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
5.972 * [taylor]: Taking taylor expansion of 1/2 in U
5.972 * [backup-simplify]: Simplify 1/2 into 1/2
5.973 * [taylor]: Taking taylor expansion of K in U
5.973 * [backup-simplify]: Simplify K into K
5.973 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
5.973 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
5.973 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
5.973 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
5.973 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
5.973 * [backup-simplify]: Simplify (- 0) into 0
5.973 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
5.974 * [backup-simplify]: Simplify (* J J) into (pow J 2)
5.974 * [backup-simplify]: Simplify (* 1 1) into 1
5.974 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
5.974 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
5.974 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
5.974 * [taylor]: Taking taylor expansion of 1 in U
5.974 * [backup-simplify]: Simplify 1 into 1
5.975 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
5.975 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
5.975 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
5.975 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
5.976 * [backup-simplify]: Simplify (+ 0) into 0
5.976 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
5.976 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
5.977 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.978 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
5.978 * [backup-simplify]: Simplify (- 0) into 0
5.978 * [backup-simplify]: Simplify (+ 0 0) into 0
5.979 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
5.979 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.980 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
5.980 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
5.984 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
5.985 * [backup-simplify]: Simplify (+ 0 0) into 0
5.985 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
5.985 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J
5.986 * [taylor]: Taking taylor expansion of 1/2 in J
5.986 * [backup-simplify]: Simplify 1/2 into 1/2
5.986 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J
5.986 * [taylor]: Taking taylor expansion of J in J
5.986 * [backup-simplify]: Simplify 0 into 0
5.986 * [backup-simplify]: Simplify 1 into 1
5.986 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
5.986 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
5.986 * [taylor]: Taking taylor expansion of 1/2 in J
5.986 * [backup-simplify]: Simplify 1/2 into 1/2
5.986 * [taylor]: Taking taylor expansion of K in J
5.986 * [backup-simplify]: Simplify K into K
5.986 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
5.986 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
5.986 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
5.986 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
5.986 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
5.987 * [backup-simplify]: Simplify (- 0) into 0
5.987 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
5.987 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K)))
5.987 * [taylor]: Taking taylor expansion of 0 in J
5.987 * [backup-simplify]: Simplify 0 into 0
5.987 * [taylor]: Taking taylor expansion of 0 in K
5.987 * [backup-simplify]: Simplify 0 into 0
5.987 * [backup-simplify]: Simplify 0 into 0
5.987 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K)))
5.987 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K
5.987 * [taylor]: Taking taylor expansion of 1/2 in K
5.987 * [backup-simplify]: Simplify 1/2 into 1/2
5.987 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
5.987 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
5.987 * [taylor]: Taking taylor expansion of 1/2 in K
5.987 * [backup-simplify]: Simplify 1/2 into 1/2
5.987 * [taylor]: Taking taylor expansion of K in K
5.987 * [backup-simplify]: Simplify 0 into 0
5.987 * [backup-simplify]: Simplify 1 into 1
5.988 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.988 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
5.988 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
5.988 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
5.988 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
5.989 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
5.990 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
5.990 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
5.991 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
5.992 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
5.992 * [backup-simplify]: Simplify (- 0) into 0
5.992 * [backup-simplify]: Simplify (+ 0 0) into 0
5.993 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
5.994 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.994 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
5.995 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
5.996 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0
5.996 * [backup-simplify]: Simplify (+ 0 1) into 1
5.997 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J)
5.997 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
5.997 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
5.997 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
5.997 * [taylor]: Taking taylor expansion of 1/2 in J
5.997 * [backup-simplify]: Simplify 1/2 into 1/2
5.997 * [taylor]: Taking taylor expansion of K in J
5.997 * [backup-simplify]: Simplify K into K
5.997 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
5.997 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
5.997 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
5.997 * [taylor]: Taking taylor expansion of J in J
5.998 * [backup-simplify]: Simplify 0 into 0
5.998 * [backup-simplify]: Simplify 1 into 1
5.998 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
5.998 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
5.998 * [backup-simplify]: Simplify (- 0) into 0
5.998 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
5.998 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
5.999 * [backup-simplify]: Simplify (+ 0) into 0
5.999 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
5.999 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
6.000 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.000 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
6.001 * [backup-simplify]: Simplify (- 0) into 0
6.001 * [backup-simplify]: Simplify (+ 0 0) into 0
6.002 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0
6.002 * [taylor]: Taking taylor expansion of 0 in K
6.002 * [backup-simplify]: Simplify 0 into 0
6.002 * [backup-simplify]: Simplify 0 into 0
6.002 * [taylor]: Taking taylor expansion of 0 in K
6.002 * [backup-simplify]: Simplify 0 into 0
6.002 * [backup-simplify]: Simplify 0 into 0
6.003 * [backup-simplify]: Simplify (+ 0) into 0
6.003 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
6.004 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
6.004 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.005 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
6.005 * [backup-simplify]: Simplify (- 0) into 0
6.005 * [backup-simplify]: Simplify (+ 0 0) into 0
6.006 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
6.006 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0
6.006 * [taylor]: Taking taylor expansion of 0 in K
6.006 * [backup-simplify]: Simplify 0 into 0
6.006 * [backup-simplify]: Simplify 0 into 0
6.006 * [backup-simplify]: Simplify 0 into 0
6.007 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
6.007 * [backup-simplify]: Simplify 0 into 0
6.007 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
6.008 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
6.009 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.009 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
6.011 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
6.012 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
6.012 * [backup-simplify]: Simplify (- 0) into 0
6.013 * [backup-simplify]: Simplify (+ 0 0) into 0
6.013 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
6.015 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.016 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0
6.017 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
6.018 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
6.018 * [backup-simplify]: Simplify (+ 0 0) into 0
6.018 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0
6.019 * [taylor]: Taking taylor expansion of 0 in J
6.019 * [backup-simplify]: Simplify 0 into 0
6.019 * [taylor]: Taking taylor expansion of 0 in K
6.019 * [backup-simplify]: Simplify 0 into 0
6.019 * [backup-simplify]: Simplify 0 into 0
6.019 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
6.019 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))
6.020 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U J K) around 0
6.020 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K
6.020 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K
6.020 * [taylor]: Taking taylor expansion of 1 in K
6.020 * [backup-simplify]: Simplify 1 into 1
6.020 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
6.020 * [taylor]: Taking taylor expansion of 1/4 in K
6.020 * [backup-simplify]: Simplify 1/4 into 1/4
6.020 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
6.020 * [taylor]: Taking taylor expansion of (pow J 2) in K
6.020 * [taylor]: Taking taylor expansion of J in K
6.020 * [backup-simplify]: Simplify J into J
6.020 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
6.020 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
6.020 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
6.020 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
6.020 * [taylor]: Taking taylor expansion of -1/2 in K
6.020 * [backup-simplify]: Simplify -1/2 into -1/2
6.020 * [taylor]: Taking taylor expansion of K in K
6.020 * [backup-simplify]: Simplify 0 into 0
6.020 * [backup-simplify]: Simplify 1 into 1
6.021 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
6.021 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.021 * [taylor]: Taking taylor expansion of (pow U 2) in K
6.021 * [taylor]: Taking taylor expansion of U in K
6.021 * [backup-simplify]: Simplify U into U
6.021 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.021 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
6.021 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.021 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
6.021 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
6.021 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
6.022 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))
6.022 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))
6.022 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.022 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
6.022 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
6.023 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
6.023 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0
6.024 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
6.024 * [backup-simplify]: Simplify (+ 0 0) into 0
6.025 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0
6.025 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
6.025 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
6.025 * [taylor]: Taking taylor expansion of 1 in J
6.025 * [backup-simplify]: Simplify 1 into 1
6.025 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
6.025 * [taylor]: Taking taylor expansion of 1/4 in J
6.025 * [backup-simplify]: Simplify 1/4 into 1/4
6.025 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
6.025 * [taylor]: Taking taylor expansion of (pow J 2) in J
6.025 * [taylor]: Taking taylor expansion of J in J
6.025 * [backup-simplify]: Simplify 0 into 0
6.025 * [backup-simplify]: Simplify 1 into 1
6.025 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
6.025 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
6.025 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
6.025 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
6.025 * [taylor]: Taking taylor expansion of -1/2 in J
6.025 * [backup-simplify]: Simplify -1/2 into -1/2
6.025 * [taylor]: Taking taylor expansion of K in J
6.025 * [backup-simplify]: Simplify K into K
6.025 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
6.025 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.025 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
6.026 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.026 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
6.026 * [backup-simplify]: Simplify (- 0) into 0
6.026 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
6.026 * [taylor]: Taking taylor expansion of (pow U 2) in J
6.026 * [taylor]: Taking taylor expansion of U in J
6.026 * [backup-simplify]: Simplify U into U
6.027 * [backup-simplify]: Simplify (* 1 1) into 1
6.027 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
6.027 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.027 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
6.027 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
6.027 * [backup-simplify]: Simplify (+ 1 0) into 1
6.028 * [backup-simplify]: Simplify (sqrt 1) into 1
6.028 * [backup-simplify]: Simplify (+ 0 0) into 0
6.029 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.029 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
6.029 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
6.029 * [taylor]: Taking taylor expansion of 1 in U
6.029 * [backup-simplify]: Simplify 1 into 1
6.029 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
6.029 * [taylor]: Taking taylor expansion of 1/4 in U
6.029 * [backup-simplify]: Simplify 1/4 into 1/4
6.029 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
6.029 * [taylor]: Taking taylor expansion of (pow J 2) in U
6.029 * [taylor]: Taking taylor expansion of J in U
6.029 * [backup-simplify]: Simplify J into J
6.029 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
6.029 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
6.029 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
6.029 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
6.029 * [taylor]: Taking taylor expansion of -1/2 in U
6.029 * [backup-simplify]: Simplify -1/2 into -1/2
6.029 * [taylor]: Taking taylor expansion of K in U
6.029 * [backup-simplify]: Simplify K into K
6.029 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
6.029 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.029 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
6.029 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.030 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
6.030 * [backup-simplify]: Simplify (- 0) into 0
6.030 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
6.030 * [taylor]: Taking taylor expansion of (pow U 2) in U
6.030 * [taylor]: Taking taylor expansion of U in U
6.030 * [backup-simplify]: Simplify 0 into 0
6.030 * [backup-simplify]: Simplify 1 into 1
6.030 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.030 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
6.031 * [backup-simplify]: Simplify (* 1 1) into 1
6.031 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
6.031 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
6.031 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
6.031 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
6.031 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
6.032 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.032 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.033 * [backup-simplify]: Simplify (+ 0) into 0
6.033 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
6.033 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
6.034 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.034 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
6.035 * [backup-simplify]: Simplify (- 0) into 0
6.035 * [backup-simplify]: Simplify (+ 0 0) into 0
6.035 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
6.036 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
6.036 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
6.037 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
6.038 * [backup-simplify]: Simplify (+ 0 0) into 0
6.038 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
6.038 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
6.038 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
6.038 * [taylor]: Taking taylor expansion of 1 in U
6.038 * [backup-simplify]: Simplify 1 into 1
6.038 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
6.038 * [taylor]: Taking taylor expansion of 1/4 in U
6.038 * [backup-simplify]: Simplify 1/4 into 1/4
6.038 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
6.038 * [taylor]: Taking taylor expansion of (pow J 2) in U
6.038 * [taylor]: Taking taylor expansion of J in U
6.038 * [backup-simplify]: Simplify J into J
6.038 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
6.038 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
6.038 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
6.039 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
6.039 * [taylor]: Taking taylor expansion of -1/2 in U
6.039 * [backup-simplify]: Simplify -1/2 into -1/2
6.039 * [taylor]: Taking taylor expansion of K in U
6.039 * [backup-simplify]: Simplify K into K
6.039 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
6.039 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.039 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
6.039 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.039 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
6.039 * [backup-simplify]: Simplify (- 0) into 0
6.040 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
6.040 * [taylor]: Taking taylor expansion of (pow U 2) in U
6.040 * [taylor]: Taking taylor expansion of U in U
6.040 * [backup-simplify]: Simplify 0 into 0
6.040 * [backup-simplify]: Simplify 1 into 1
6.040 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.040 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
6.040 * [backup-simplify]: Simplify (* 1 1) into 1
6.041 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
6.041 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
6.041 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
6.041 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
6.041 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
6.042 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.042 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.043 * [backup-simplify]: Simplify (+ 0) into 0
6.043 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
6.043 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
6.044 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.044 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
6.045 * [backup-simplify]: Simplify (- 0) into 0
6.045 * [backup-simplify]: Simplify (+ 0 0) into 0
6.045 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
6.046 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
6.046 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
6.047 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
6.047 * [backup-simplify]: Simplify (+ 0 0) into 0
6.047 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
6.047 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J
6.048 * [taylor]: Taking taylor expansion of 1/2 in J
6.048 * [backup-simplify]: Simplify 1/2 into 1/2
6.048 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J
6.048 * [taylor]: Taking taylor expansion of J in J
6.048 * [backup-simplify]: Simplify 0 into 0
6.048 * [backup-simplify]: Simplify 1 into 1
6.048 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
6.048 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
6.048 * [taylor]: Taking taylor expansion of -1/2 in J
6.048 * [backup-simplify]: Simplify -1/2 into -1/2
6.048 * [taylor]: Taking taylor expansion of K in J
6.048 * [backup-simplify]: Simplify K into K
6.048 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
6.048 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.048 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
6.048 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.048 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
6.048 * [backup-simplify]: Simplify (- 0) into 0
6.049 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
6.049 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K)))
6.049 * [taylor]: Taking taylor expansion of 0 in J
6.049 * [backup-simplify]: Simplify 0 into 0
6.049 * [taylor]: Taking taylor expansion of 0 in K
6.049 * [backup-simplify]: Simplify 0 into 0
6.049 * [backup-simplify]: Simplify 0 into 0
6.049 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K)))
6.049 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K
6.049 * [taylor]: Taking taylor expansion of 1/2 in K
6.049 * [backup-simplify]: Simplify 1/2 into 1/2
6.049 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
6.049 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
6.049 * [taylor]: Taking taylor expansion of -1/2 in K
6.049 * [backup-simplify]: Simplify -1/2 into -1/2
6.049 * [taylor]: Taking taylor expansion of K in K
6.049 * [backup-simplify]: Simplify 0 into 0
6.049 * [backup-simplify]: Simplify 1 into 1
6.050 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
6.050 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.050 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
6.050 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
6.050 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
6.051 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.052 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.053 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
6.053 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
6.053 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.054 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
6.054 * [backup-simplify]: Simplify (- 0) into 0
6.055 * [backup-simplify]: Simplify (+ 0 0) into 0
6.055 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
6.056 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
6.056 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
6.057 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0
6.058 * [backup-simplify]: Simplify (+ 1 0) into 1
6.059 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J)
6.059 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
6.059 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
6.059 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
6.059 * [taylor]: Taking taylor expansion of -1/2 in J
6.059 * [backup-simplify]: Simplify -1/2 into -1/2
6.059 * [taylor]: Taking taylor expansion of K in J
6.059 * [backup-simplify]: Simplify K into K
6.059 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
6.059 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.059 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
6.059 * [taylor]: Taking taylor expansion of J in J
6.059 * [backup-simplify]: Simplify 0 into 0
6.059 * [backup-simplify]: Simplify 1 into 1
6.059 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.059 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
6.059 * [backup-simplify]: Simplify (- 0) into 0
6.060 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
6.060 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.060 * [backup-simplify]: Simplify (+ 0) into 0
6.060 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
6.061 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
6.061 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.062 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
6.062 * [backup-simplify]: Simplify (- 0) into 0
6.062 * [backup-simplify]: Simplify (+ 0 0) into 0
6.063 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0
6.063 * [taylor]: Taking taylor expansion of 0 in K
6.063 * [backup-simplify]: Simplify 0 into 0
6.064 * [backup-simplify]: Simplify 0 into 0
6.064 * [taylor]: Taking taylor expansion of 0 in K
6.064 * [backup-simplify]: Simplify 0 into 0
6.064 * [backup-simplify]: Simplify 0 into 0
6.064 * [backup-simplify]: Simplify (+ 0) into 0
6.064 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
6.065 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
6.065 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.066 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
6.067 * [backup-simplify]: Simplify (- 0) into 0
6.067 * [backup-simplify]: Simplify (+ 0 0) into 0
6.067 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
6.068 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0
6.068 * [taylor]: Taking taylor expansion of 0 in K
6.068 * [backup-simplify]: Simplify 0 into 0
6.068 * [backup-simplify]: Simplify 0 into 0
6.068 * [backup-simplify]: Simplify 0 into 0
6.068 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
6.068 * [backup-simplify]: Simplify 0 into 0
6.069 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
6.069 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.070 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
6.070 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.071 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
6.071 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
6.072 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
6.072 * [backup-simplify]: Simplify (- 0) into 0
6.072 * [backup-simplify]: Simplify (+ 0 0) into 0
6.073 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
6.073 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.074 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
6.075 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
6.075 * [backup-simplify]: Simplify (+ 0 0) into 0
6.075 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
6.075 * [taylor]: Taking taylor expansion of 0 in J
6.075 * [backup-simplify]: Simplify 0 into 0
6.075 * [taylor]: Taking taylor expansion of 0 in K
6.075 * [backup-simplify]: Simplify 0 into 0
6.075 * [backup-simplify]: Simplify 0 into 0
6.075 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
6.075 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1)
6.076 * [backup-simplify]: Simplify (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))) into (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))))
6.076 * [approximate]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in (U J K) around 0
6.076 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in K
6.076 * [taylor]: Taking taylor expansion of -2 in K
6.076 * [backup-simplify]: Simplify -2 into -2
6.076 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in K
6.076 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K
6.076 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
6.076 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
6.076 * [taylor]: Taking taylor expansion of 1/2 in K
6.076 * [backup-simplify]: Simplify 1/2 into 1/2
6.076 * [taylor]: Taking taylor expansion of K in K
6.076 * [backup-simplify]: Simplify 0 into 0
6.076 * [backup-simplify]: Simplify 1 into 1
6.076 * [backup-simplify]: Simplify (* 1/2 0) into 0
6.077 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
6.077 * [taylor]: Taking taylor expansion of J in K
6.077 * [backup-simplify]: Simplify J into J
6.077 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K
6.077 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K
6.077 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
6.077 * [taylor]: Taking taylor expansion of 1/4 in K
6.077 * [backup-simplify]: Simplify 1/4 into 1/4
6.077 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
6.077 * [taylor]: Taking taylor expansion of (pow U 2) in K
6.077 * [taylor]: Taking taylor expansion of U in K
6.077 * [backup-simplify]: Simplify U into U
6.077 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
6.077 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
6.077 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
6.077 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
6.077 * [taylor]: Taking taylor expansion of 1/2 in K
6.077 * [backup-simplify]: Simplify 1/2 into 1/2
6.077 * [taylor]: Taking taylor expansion of K in K
6.077 * [backup-simplify]: Simplify 0 into 0
6.077 * [backup-simplify]: Simplify 1 into 1
6.077 * [backup-simplify]: Simplify (* 1/2 0) into 0
6.078 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
6.078 * [taylor]: Taking taylor expansion of (pow J 2) in K
6.078 * [taylor]: Taking taylor expansion of J in K
6.078 * [backup-simplify]: Simplify J into J
6.078 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.078 * [backup-simplify]: Simplify (* 1 1) into 1
6.078 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.078 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
6.078 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
6.078 * [taylor]: Taking taylor expansion of 1 in K
6.078 * [backup-simplify]: Simplify 1 into 1
6.078 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2)))
6.078 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
6.078 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
6.079 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
6.079 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.079 * [backup-simplify]: Simplify (+ 0) into 0
6.079 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.080 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
6.080 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
6.080 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0
6.080 * [backup-simplify]: Simplify (+ 0 0) into 0
6.080 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
6.080 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in J
6.080 * [taylor]: Taking taylor expansion of -2 in J
6.081 * [backup-simplify]: Simplify -2 into -2
6.081 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in J
6.081 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J
6.081 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
6.081 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
6.081 * [taylor]: Taking taylor expansion of 1/2 in J
6.081 * [backup-simplify]: Simplify 1/2 into 1/2
6.081 * [taylor]: Taking taylor expansion of K in J
6.081 * [backup-simplify]: Simplify K into K
6.081 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
6.081 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
6.081 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
6.081 * [taylor]: Taking taylor expansion of J in J
6.081 * [backup-simplify]: Simplify 0 into 0
6.081 * [backup-simplify]: Simplify 1 into 1
6.081 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J
6.081 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J
6.081 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
6.081 * [taylor]: Taking taylor expansion of 1/4 in J
6.081 * [backup-simplify]: Simplify 1/4 into 1/4
6.081 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
6.081 * [taylor]: Taking taylor expansion of (pow U 2) in J
6.081 * [taylor]: Taking taylor expansion of U in J
6.081 * [backup-simplify]: Simplify U into U
6.081 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
6.081 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
6.081 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
6.081 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
6.081 * [taylor]: Taking taylor expansion of 1/2 in J
6.081 * [backup-simplify]: Simplify 1/2 into 1/2
6.081 * [taylor]: Taking taylor expansion of K in J
6.081 * [backup-simplify]: Simplify K into K
6.081 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
6.081 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
6.081 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
6.081 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
6.081 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
6.082 * [backup-simplify]: Simplify (- 0) into 0
6.082 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
6.082 * [taylor]: Taking taylor expansion of (pow J 2) in J
6.082 * [taylor]: Taking taylor expansion of J in J
6.082 * [backup-simplify]: Simplify 0 into 0
6.082 * [backup-simplify]: Simplify 1 into 1
6.082 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.082 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
6.082 * [backup-simplify]: Simplify (* 1 1) into 1
6.082 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
6.082 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
6.082 * [taylor]: Taking taylor expansion of 1 in J
6.082 * [backup-simplify]: Simplify 1 into 1
6.082 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
6.082 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
6.083 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
6.083 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
6.083 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.083 * [backup-simplify]: Simplify (+ 0) into 0
6.084 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
6.084 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
6.084 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.085 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
6.085 * [backup-simplify]: Simplify (- 0) into 0
6.085 * [backup-simplify]: Simplify (+ 0 0) into 0
6.085 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
6.086 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
6.086 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
6.086 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0
6.086 * [backup-simplify]: Simplify (+ 0 0) into 0
6.087 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
6.087 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U
6.087 * [taylor]: Taking taylor expansion of -2 in U
6.087 * [backup-simplify]: Simplify -2 into -2
6.087 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U
6.087 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U
6.087 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
6.087 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
6.087 * [taylor]: Taking taylor expansion of 1/2 in U
6.087 * [backup-simplify]: Simplify 1/2 into 1/2
6.087 * [taylor]: Taking taylor expansion of K in U
6.087 * [backup-simplify]: Simplify K into K
6.087 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
6.087 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
6.087 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
6.087 * [taylor]: Taking taylor expansion of J in U
6.087 * [backup-simplify]: Simplify J into J
6.087 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
6.087 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
6.087 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
6.087 * [taylor]: Taking taylor expansion of 1/4 in U
6.087 * [backup-simplify]: Simplify 1/4 into 1/4
6.087 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
6.087 * [taylor]: Taking taylor expansion of (pow U 2) in U
6.087 * [taylor]: Taking taylor expansion of U in U
6.087 * [backup-simplify]: Simplify 0 into 0
6.087 * [backup-simplify]: Simplify 1 into 1
6.087 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
6.087 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
6.087 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
6.087 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
6.087 * [taylor]: Taking taylor expansion of 1/2 in U
6.087 * [backup-simplify]: Simplify 1/2 into 1/2
6.087 * [taylor]: Taking taylor expansion of K in U
6.087 * [backup-simplify]: Simplify K into K
6.087 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
6.087 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
6.087 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
6.087 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
6.087 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
6.088 * [backup-simplify]: Simplify (- 0) into 0
6.088 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
6.088 * [taylor]: Taking taylor expansion of (pow J 2) in U
6.088 * [taylor]: Taking taylor expansion of J in U
6.088 * [backup-simplify]: Simplify J into J
6.088 * [backup-simplify]: Simplify (* 1 1) into 1
6.088 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
6.088 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.088 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
6.088 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
6.088 * [taylor]: Taking taylor expansion of 1 in U
6.088 * [backup-simplify]: Simplify 1 into 1
6.089 * [backup-simplify]: Simplify (+ 0 1) into 1
6.089 * [backup-simplify]: Simplify (sqrt 1) into 1
6.089 * [backup-simplify]: Simplify (+ 0 0) into 0
6.090 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.090 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U
6.090 * [taylor]: Taking taylor expansion of -2 in U
6.090 * [backup-simplify]: Simplify -2 into -2
6.090 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U
6.090 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U
6.090 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
6.090 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
6.090 * [taylor]: Taking taylor expansion of 1/2 in U
6.090 * [backup-simplify]: Simplify 1/2 into 1/2
6.090 * [taylor]: Taking taylor expansion of K in U
6.090 * [backup-simplify]: Simplify K into K
6.090 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
6.090 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
6.090 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
6.090 * [taylor]: Taking taylor expansion of J in U
6.090 * [backup-simplify]: Simplify J into J
6.090 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
6.090 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
6.090 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
6.090 * [taylor]: Taking taylor expansion of 1/4 in U
6.090 * [backup-simplify]: Simplify 1/4 into 1/4
6.090 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
6.090 * [taylor]: Taking taylor expansion of (pow U 2) in U
6.090 * [taylor]: Taking taylor expansion of U in U
6.090 * [backup-simplify]: Simplify 0 into 0
6.090 * [backup-simplify]: Simplify 1 into 1
6.090 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
6.090 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
6.090 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
6.090 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
6.090 * [taylor]: Taking taylor expansion of 1/2 in U
6.090 * [backup-simplify]: Simplify 1/2 into 1/2
6.090 * [taylor]: Taking taylor expansion of K in U
6.090 * [backup-simplify]: Simplify K into K
6.090 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
6.090 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
6.090 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
6.090 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
6.090 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
6.091 * [backup-simplify]: Simplify (- 0) into 0
6.091 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
6.091 * [taylor]: Taking taylor expansion of (pow J 2) in U
6.091 * [taylor]: Taking taylor expansion of J in U
6.091 * [backup-simplify]: Simplify J into J
6.091 * [backup-simplify]: Simplify (* 1 1) into 1
6.091 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
6.091 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.091 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
6.091 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
6.092 * [taylor]: Taking taylor expansion of 1 in U
6.092 * [backup-simplify]: Simplify 1 into 1
6.092 * [backup-simplify]: Simplify (+ 0 1) into 1
6.092 * [backup-simplify]: Simplify (sqrt 1) into 1
6.092 * [backup-simplify]: Simplify (+ 0 0) into 0
6.093 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.093 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
6.093 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
6.093 * [backup-simplify]: Simplify (- 0) into 0
6.093 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
6.093 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J)
6.093 * [backup-simplify]: Simplify (* (* (cos (* 1/2 K)) J) 1) into (* (cos (* 1/2 K)) J)
6.093 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J))
6.093 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in J
6.093 * [taylor]: Taking taylor expansion of -2 in J
6.093 * [backup-simplify]: Simplify -2 into -2
6.093 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J
6.093 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
6.093 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
6.093 * [taylor]: Taking taylor expansion of 1/2 in J
6.094 * [backup-simplify]: Simplify 1/2 into 1/2
6.094 * [taylor]: Taking taylor expansion of K in J
6.094 * [backup-simplify]: Simplify K into K
6.094 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
6.094 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
6.094 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
6.094 * [taylor]: Taking taylor expansion of J in J
6.094 * [backup-simplify]: Simplify 0 into 0
6.094 * [backup-simplify]: Simplify 1 into 1
6.094 * [backup-simplify]: Simplify (+ 0) into 0
6.094 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
6.095 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
6.095 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.095 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
6.095 * [backup-simplify]: Simplify (- 0) into 0
6.096 * [backup-simplify]: Simplify (+ 0 0) into 0
6.096 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0
6.096 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (* 0 1)) into 0
6.097 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) J))) into 0
6.097 * [taylor]: Taking taylor expansion of 0 in J
6.097 * [backup-simplify]: Simplify 0 into 0
6.097 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
6.097 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
6.097 * [backup-simplify]: Simplify (- 0) into 0
6.097 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
6.098 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0
6.098 * [backup-simplify]: Simplify (* -2 0) into 0
6.098 * [taylor]: Taking taylor expansion of 0 in K
6.098 * [backup-simplify]: Simplify 0 into 0
6.098 * [backup-simplify]: Simplify 0 into 0
6.098 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
6.099 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
6.100 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
6.101 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.101 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
6.102 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
6.103 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.103 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
6.104 * [backup-simplify]: Simplify (- 0) into 0
6.104 * [backup-simplify]: Simplify (+ 0 0) into 0
6.104 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 J))) into 0
6.105 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 1))) into (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))
6.106 * [backup-simplify]: Simplify (+ (* -2 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J)))) into (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))))
6.106 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) in J
6.106 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))) in J
6.106 * [taylor]: Taking taylor expansion of 1/4 in J
6.106 * [backup-simplify]: Simplify 1/4 into 1/4
6.106 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in J
6.106 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J
6.106 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
6.106 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
6.106 * [taylor]: Taking taylor expansion of 1/2 in J
6.106 * [backup-simplify]: Simplify 1/2 into 1/2
6.106 * [taylor]: Taking taylor expansion of K in J
6.106 * [backup-simplify]: Simplify K into K
6.106 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
6.106 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
6.106 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
6.106 * [taylor]: Taking taylor expansion of J in J
6.106 * [backup-simplify]: Simplify 0 into 0
6.106 * [backup-simplify]: Simplify 1 into 1
6.107 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
6.107 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
6.107 * [backup-simplify]: Simplify (- 0) into 0
6.107 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
6.107 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0
6.107 * [backup-simplify]: Simplify (+ 0) into 0
6.108 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
6.108 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
6.109 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.110 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
6.114 * [backup-simplify]: Simplify (- 0) into 0
6.115 * [backup-simplify]: Simplify (+ 0 0) into 0
6.115 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K))
6.115 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 K))) into (/ 1 (cos (* 1/2 K)))
6.116 * [backup-simplify]: Simplify (* 1/4 (/ 1 (cos (* 1/2 K)))) into (/ 1/4 (cos (* 1/2 K)))
6.116 * [backup-simplify]: Simplify (- (/ 1/4 (cos (* 1/2 K)))) into (- (* 1/4 (/ 1 (cos (* 1/2 K)))))
6.116 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (cos (* 1/2 K))))) in K
6.116 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (cos (* 1/2 K)))) in K
6.116 * [taylor]: Taking taylor expansion of 1/4 in K
6.116 * [backup-simplify]: Simplify 1/4 into 1/4
6.116 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 1/2 K))) in K
6.116 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
6.116 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
6.116 * [taylor]: Taking taylor expansion of 1/2 in K
6.116 * [backup-simplify]: Simplify 1/2 into 1/2
6.116 * [taylor]: Taking taylor expansion of K in K
6.116 * [backup-simplify]: Simplify 0 into 0
6.116 * [backup-simplify]: Simplify 1 into 1
6.116 * [backup-simplify]: Simplify (* 1/2 0) into 0
6.117 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
6.117 * [backup-simplify]: Simplify (/ 1 1) into 1
6.118 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
6.118 * [backup-simplify]: Simplify (- 1/4) into -1/4
6.118 * [backup-simplify]: Simplify -1/4 into -1/4
6.118 * [taylor]: Taking taylor expansion of 0 in K
6.118 * [backup-simplify]: Simplify 0 into 0
6.118 * [backup-simplify]: Simplify 0 into 0
6.119 * [backup-simplify]: Simplify (+ 0) into 0
6.119 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
6.120 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
6.120 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.120 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
6.121 * [backup-simplify]: Simplify (- 0) into 0
6.121 * [backup-simplify]: Simplify (+ 0 0) into 0
6.121 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K))
6.121 * [backup-simplify]: Simplify (+ (* -2 (cos (* 1/2 K))) (* 0 0)) into (- (* 2 (cos (* 1/2 K))))
6.122 * [taylor]: Taking taylor expansion of (- (* 2 (cos (* 1/2 K)))) in K
6.122 * [taylor]: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K
6.122 * [taylor]: Taking taylor expansion of 2 in K
6.122 * [backup-simplify]: Simplify 2 into 2
6.122 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
6.122 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
6.122 * [taylor]: Taking taylor expansion of 1/2 in K
6.122 * [backup-simplify]: Simplify 1/2 into 1/2
6.122 * [taylor]: Taking taylor expansion of K in K
6.122 * [backup-simplify]: Simplify 0 into 0
6.122 * [backup-simplify]: Simplify 1 into 1
6.122 * [backup-simplify]: Simplify (* 1/2 0) into 0
6.122 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
6.123 * [backup-simplify]: Simplify (* 2 1) into 2
6.123 * [backup-simplify]: Simplify (- 2) into -2
6.123 * [backup-simplify]: Simplify -2 into -2
6.123 * [backup-simplify]: Simplify 0 into 0
6.123 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.123 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.124 * [backup-simplify]: Simplify (+ 0) into 0
6.124 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
6.124 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
6.125 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.125 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
6.125 * [backup-simplify]: Simplify (- 0) into 0
6.125 * [backup-simplify]: Simplify (+ 0 0) into 0
6.126 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
6.126 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0
6.126 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
6.126 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0
6.127 * [backup-simplify]: Simplify (+ 0 0) into 0
6.127 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0
6.127 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
6.128 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.129 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0
6.130 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
6.130 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
6.130 * [backup-simplify]: Simplify (- 0) into 0
6.130 * [backup-simplify]: Simplify (+ 0 0) into 0
6.131 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
6.131 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (+ (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 1)))) into 0
6.132 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J))))) into 0
6.132 * [taylor]: Taking taylor expansion of 0 in J
6.132 * [backup-simplify]: Simplify 0 into 0
6.133 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.133 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
6.134 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
6.134 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.134 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
6.135 * [backup-simplify]: Simplify (- 0) into 0
6.135 * [backup-simplify]: Simplify (+ 0 0) into 0
6.135 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0
6.135 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0
6.136 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (* 1/2 K))))) into 0
6.136 * [backup-simplify]: Simplify (- 0) into 0
6.136 * [taylor]: Taking taylor expansion of 0 in K
6.136 * [backup-simplify]: Simplify 0 into 0
6.136 * [backup-simplify]: Simplify 0 into 0
6.136 * [taylor]: Taking taylor expansion of 0 in K
6.136 * [backup-simplify]: Simplify 0 into 0
6.136 * [backup-simplify]: Simplify 0 into 0
6.137 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.137 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
6.138 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
6.138 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.138 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
6.139 * [backup-simplify]: Simplify (- 0) into 0
6.139 * [backup-simplify]: Simplify (+ 0 0) into 0
6.139 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0
6.140 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0))) into 0
6.140 * [taylor]: Taking taylor expansion of 0 in K
6.140 * [backup-simplify]: Simplify 0 into 0
6.140 * [backup-simplify]: Simplify 0 into 0
6.140 * [backup-simplify]: Simplify (+ 0) into 0
6.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.142 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
6.142 * [backup-simplify]: Simplify (- 0) into 0
6.142 * [backup-simplify]: Simplify 0 into 0
6.142 * [backup-simplify]: Simplify 0 into 0
6.143 * [backup-simplify]: Simplify (+ (* -2 (* 1 (* J 1))) (* -1/4 (* 1 (* (/ 1 J) (pow U 2))))) into (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J))))
6.143 * [backup-simplify]: Simplify (* (sqrt (+ (* (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))))) 1)) (* (cos (/ (/ 1 K) 2)) (* -2 (/ 1 J)))) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)))
6.143 * [approximate]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in (U J K) around 0
6.143 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in K
6.143 * [taylor]: Taking taylor expansion of -2 in K
6.143 * [backup-simplify]: Simplify -2 into -2
6.144 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in K
6.144 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K
6.144 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K
6.144 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
6.144 * [taylor]: Taking taylor expansion of 1/4 in K
6.144 * [backup-simplify]: Simplify 1/4 into 1/4
6.144 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
6.144 * [taylor]: Taking taylor expansion of (pow J 2) in K
6.144 * [taylor]: Taking taylor expansion of J in K
6.144 * [backup-simplify]: Simplify J into J
6.144 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
6.144 * [taylor]: Taking taylor expansion of (pow U 2) in K
6.144 * [taylor]: Taking taylor expansion of U in K
6.144 * [backup-simplify]: Simplify U into U
6.144 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
6.144 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
6.144 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
6.144 * [taylor]: Taking taylor expansion of 1/2 in K
6.144 * [backup-simplify]: Simplify 1/2 into 1/2
6.144 * [taylor]: Taking taylor expansion of K in K
6.144 * [backup-simplify]: Simplify 0 into 0
6.144 * [backup-simplify]: Simplify 1 into 1
6.145 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.145 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.145 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.145 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.145 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
6.145 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
6.145 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
6.146 * [taylor]: Taking taylor expansion of 1 in K
6.146 * [backup-simplify]: Simplify 1 into 1
6.146 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))
6.146 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)
6.147 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
6.147 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.147 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
6.147 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
6.147 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
6.148 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
6.149 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
6.149 * [backup-simplify]: Simplify (+ 0 0) into 0
6.150 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
6.150 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K
6.150 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
6.150 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
6.150 * [taylor]: Taking taylor expansion of 1/2 in K
6.150 * [backup-simplify]: Simplify 1/2 into 1/2
6.150 * [taylor]: Taking taylor expansion of K in K
6.150 * [backup-simplify]: Simplify 0 into 0
6.150 * [backup-simplify]: Simplify 1 into 1
6.150 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.150 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.150 * [taylor]: Taking taylor expansion of J in K
6.150 * [backup-simplify]: Simplify J into J
6.151 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
6.151 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in J
6.151 * [taylor]: Taking taylor expansion of -2 in J
6.151 * [backup-simplify]: Simplify -2 into -2
6.151 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in J
6.151 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
6.151 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
6.151 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
6.151 * [taylor]: Taking taylor expansion of 1/4 in J
6.151 * [backup-simplify]: Simplify 1/4 into 1/4
6.151 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
6.151 * [taylor]: Taking taylor expansion of (pow J 2) in J
6.151 * [taylor]: Taking taylor expansion of J in J
6.151 * [backup-simplify]: Simplify 0 into 0
6.151 * [backup-simplify]: Simplify 1 into 1
6.151 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
6.151 * [taylor]: Taking taylor expansion of (pow U 2) in J
6.151 * [taylor]: Taking taylor expansion of U in J
6.151 * [backup-simplify]: Simplify U into U
6.151 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
6.151 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
6.151 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
6.151 * [taylor]: Taking taylor expansion of 1/2 in J
6.151 * [backup-simplify]: Simplify 1/2 into 1/2
6.151 * [taylor]: Taking taylor expansion of K in J
6.151 * [backup-simplify]: Simplify K into K
6.151 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
6.151 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.152 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
6.152 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
6.152 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
6.152 * [backup-simplify]: Simplify (- 0) into 0
6.152 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
6.153 * [backup-simplify]: Simplify (* 1 1) into 1
6.153 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.153 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
6.153 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
6.153 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
6.153 * [taylor]: Taking taylor expansion of 1 in J
6.153 * [backup-simplify]: Simplify 1 into 1
6.154 * [backup-simplify]: Simplify (+ 0 1) into 1
6.154 * [backup-simplify]: Simplify (sqrt 1) into 1
6.154 * [backup-simplify]: Simplify (+ 0 0) into 0
6.155 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.155 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
6.155 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
6.155 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
6.155 * [taylor]: Taking taylor expansion of 1/2 in J
6.155 * [backup-simplify]: Simplify 1/2 into 1/2
6.155 * [taylor]: Taking taylor expansion of K in J
6.155 * [backup-simplify]: Simplify K into K
6.155 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
6.156 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.156 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
6.156 * [taylor]: Taking taylor expansion of J in J
6.156 * [backup-simplify]: Simplify 0 into 0
6.156 * [backup-simplify]: Simplify 1 into 1
6.156 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
6.156 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
6.156 * [backup-simplify]: Simplify (- 0) into 0
6.156 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
6.157 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
6.157 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in U
6.157 * [taylor]: Taking taylor expansion of -2 in U
6.157 * [backup-simplify]: Simplify -2 into -2
6.157 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in U
6.157 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
6.157 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
6.157 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
6.157 * [taylor]: Taking taylor expansion of 1/4 in U
6.157 * [backup-simplify]: Simplify 1/4 into 1/4
6.157 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
6.157 * [taylor]: Taking taylor expansion of (pow J 2) in U
6.157 * [taylor]: Taking taylor expansion of J in U
6.157 * [backup-simplify]: Simplify J into J
6.157 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
6.157 * [taylor]: Taking taylor expansion of (pow U 2) in U
6.157 * [taylor]: Taking taylor expansion of U in U
6.157 * [backup-simplify]: Simplify 0 into 0
6.157 * [backup-simplify]: Simplify 1 into 1
6.157 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
6.157 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
6.157 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
6.157 * [taylor]: Taking taylor expansion of 1/2 in U
6.157 * [backup-simplify]: Simplify 1/2 into 1/2
6.157 * [taylor]: Taking taylor expansion of K in U
6.157 * [backup-simplify]: Simplify K into K
6.157 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
6.157 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.157 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
6.158 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
6.158 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
6.158 * [backup-simplify]: Simplify (- 0) into 0
6.158 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
6.158 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.159 * [backup-simplify]: Simplify (* 1 1) into 1
6.159 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
6.159 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
6.159 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
6.159 * [taylor]: Taking taylor expansion of 1 in U
6.159 * [backup-simplify]: Simplify 1 into 1
6.159 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
6.160 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
6.160 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
6.160 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.160 * [backup-simplify]: Simplify (+ 0) into 0
6.161 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
6.161 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
6.162 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.162 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
6.163 * [backup-simplify]: Simplify (- 0) into 0
6.163 * [backup-simplify]: Simplify (+ 0 0) into 0
6.163 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
6.164 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.164 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
6.165 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
6.166 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
6.166 * [backup-simplify]: Simplify (+ 0 0) into 0
6.166 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
6.166 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U
6.166 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
6.166 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
6.166 * [taylor]: Taking taylor expansion of 1/2 in U
6.166 * [backup-simplify]: Simplify 1/2 into 1/2
6.166 * [taylor]: Taking taylor expansion of K in U
6.166 * [backup-simplify]: Simplify K into K
6.166 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
6.167 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.167 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
6.167 * [taylor]: Taking taylor expansion of J in U
6.167 * [backup-simplify]: Simplify J into J
6.167 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
6.167 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
6.167 * [backup-simplify]: Simplify (- 0) into 0
6.167 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
6.168 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
6.168 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in U
6.168 * [taylor]: Taking taylor expansion of -2 in U
6.168 * [backup-simplify]: Simplify -2 into -2
6.168 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in U
6.168 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
6.168 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
6.168 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
6.168 * [taylor]: Taking taylor expansion of 1/4 in U
6.168 * [backup-simplify]: Simplify 1/4 into 1/4
6.168 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
6.168 * [taylor]: Taking taylor expansion of (pow J 2) in U
6.168 * [taylor]: Taking taylor expansion of J in U
6.168 * [backup-simplify]: Simplify J into J
6.168 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
6.168 * [taylor]: Taking taylor expansion of (pow U 2) in U
6.168 * [taylor]: Taking taylor expansion of U in U
6.168 * [backup-simplify]: Simplify 0 into 0
6.168 * [backup-simplify]: Simplify 1 into 1
6.168 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
6.168 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
6.168 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
6.168 * [taylor]: Taking taylor expansion of 1/2 in U
6.168 * [backup-simplify]: Simplify 1/2 into 1/2
6.168 * [taylor]: Taking taylor expansion of K in U
6.168 * [backup-simplify]: Simplify K into K
6.168 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
6.169 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.169 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
6.169 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
6.169 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
6.169 * [backup-simplify]: Simplify (- 0) into 0
6.169 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
6.169 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.170 * [backup-simplify]: Simplify (* 1 1) into 1
6.170 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
6.170 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
6.170 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
6.170 * [taylor]: Taking taylor expansion of 1 in U
6.170 * [backup-simplify]: Simplify 1 into 1
6.171 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
6.171 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
6.171 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
6.171 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.172 * [backup-simplify]: Simplify (+ 0) into 0
6.172 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
6.172 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
6.173 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.174 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
6.175 * [backup-simplify]: Simplify (- 0) into 0
6.175 * [backup-simplify]: Simplify (+ 0 0) into 0
6.175 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
6.176 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.176 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
6.177 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
6.178 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
6.178 * [backup-simplify]: Simplify (+ 0 0) into 0
6.178 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
6.178 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U
6.178 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
6.178 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
6.178 * [taylor]: Taking taylor expansion of 1/2 in U
6.178 * [backup-simplify]: Simplify 1/2 into 1/2
6.178 * [taylor]: Taking taylor expansion of K in U
6.178 * [backup-simplify]: Simplify K into K
6.179 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
6.179 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.179 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
6.179 * [taylor]: Taking taylor expansion of J in U
6.179 * [backup-simplify]: Simplify J into J
6.179 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
6.179 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
6.179 * [backup-simplify]: Simplify (- 0) into 0
6.179 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
6.180 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
6.180 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ (cos (/ 1/2 K)) J)) into 1/2
6.180 * [backup-simplify]: Simplify (* -2 1/2) into -1
6.180 * [taylor]: Taking taylor expansion of -1 in J
6.180 * [backup-simplify]: Simplify -1 into -1
6.181 * [backup-simplify]: Simplify (+ 0) into 0
6.181 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
6.182 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
6.182 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.183 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
6.184 * [backup-simplify]: Simplify (- 0) into 0
6.184 * [backup-simplify]: Simplify (+ 0 0) into 0
6.184 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0
6.185 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (/ (cos (/ 1/2 K)) J))) into 0
6.186 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1/2)) into 0
6.186 * [taylor]: Taking taylor expansion of 0 in J
6.186 * [backup-simplify]: Simplify 0 into 0
6.186 * [taylor]: Taking taylor expansion of -1 in K
6.186 * [backup-simplify]: Simplify -1 into -1
6.186 * [backup-simplify]: Simplify -1 into -1
6.187 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.188 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
6.188 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
6.189 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.189 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
6.190 * [backup-simplify]: Simplify (- 0) into 0
6.190 * [backup-simplify]: Simplify (+ 0 0) into 0
6.190 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0
6.191 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
6.192 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.193 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
6.193 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
6.194 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.194 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
6.195 * [backup-simplify]: Simplify (- 0) into 0
6.195 * [backup-simplify]: Simplify (+ 0 0) into 0
6.196 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
6.197 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.197 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
6.198 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
6.199 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0
6.200 * [backup-simplify]: Simplify (+ 0 1) into 1
6.200 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J)
6.201 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* (/ (cos (/ 1/2 K)) J) (/ (cos (/ 1/2 K)) J)))) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))
6.202 * [backup-simplify]: Simplify (+ (* -2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2))) into (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))))
6.202 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in J
6.202 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J
6.202 * [taylor]: Taking taylor expansion of 2 in J
6.202 * [backup-simplify]: Simplify 2 into 2
6.202 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in J
6.202 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
6.202 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
6.202 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
6.202 * [taylor]: Taking taylor expansion of 1/2 in J
6.203 * [backup-simplify]: Simplify 1/2 into 1/2
6.203 * [taylor]: Taking taylor expansion of K in J
6.203 * [backup-simplify]: Simplify K into K
6.203 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
6.203 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.203 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
6.203 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
6.203 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
6.203 * [backup-simplify]: Simplify (- 0) into 0
6.203 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
6.204 * [taylor]: Taking taylor expansion of (pow J 2) in J
6.204 * [taylor]: Taking taylor expansion of J in J
6.204 * [backup-simplify]: Simplify 0 into 0
6.204 * [backup-simplify]: Simplify 1 into 1
6.204 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
6.204 * [backup-simplify]: Simplify (* 1 1) into 1
6.204 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2)
6.205 * [backup-simplify]: Simplify (+ 0) into 0
6.205 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
6.205 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
6.206 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.207 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
6.207 * [backup-simplify]: Simplify (- 0) into 0
6.207 * [backup-simplify]: Simplify (+ 0 0) into 0
6.208 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
6.208 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.209 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0
6.210 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
6.210 * [backup-simplify]: Simplify (- 0) into 0
6.210 * [taylor]: Taking taylor expansion of 0 in K
6.210 * [backup-simplify]: Simplify 0 into 0
6.210 * [backup-simplify]: Simplify 0 into 0
6.210 * [taylor]: Taking taylor expansion of 0 in K
6.210 * [backup-simplify]: Simplify 0 into 0
6.210 * [backup-simplify]: Simplify 0 into 0
6.211 * [taylor]: Taking taylor expansion of 0 in K
6.211 * [backup-simplify]: Simplify 0 into 0
6.211 * [backup-simplify]: Simplify 0 into 0
6.211 * [backup-simplify]: Simplify 0 into 0
6.212 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
6.213 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.213 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
6.215 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
6.216 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
6.216 * [backup-simplify]: Simplify (- 0) into 0
6.216 * [backup-simplify]: Simplify (+ 0 0) into 0
6.217 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0
6.217 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
6.218 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
6.219 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.220 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
6.221 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
6.222 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
6.222 * [backup-simplify]: Simplify (- 0) into 0
6.223 * [backup-simplify]: Simplify (+ 0 0) into 0
6.224 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
6.225 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.226 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0
6.227 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
6.228 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
6.229 * [backup-simplify]: Simplify (+ 0 0) into 0
6.229 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0
6.230 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (+ (* (/ (cos (/ 1/2 K)) J) 0) (* 0 (/ (cos (/ 1/2 K)) J))))) into 0
6.231 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0
6.231 * [taylor]: Taking taylor expansion of 0 in J
6.231 * [backup-simplify]: Simplify 0 into 0
6.232 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.232 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
6.233 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
6.233 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.234 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
6.235 * [backup-simplify]: Simplify (- 0) into 0
6.235 * [backup-simplify]: Simplify (+ 0 0) into 0
6.235 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
6.236 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.238 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.239 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
6.239 * [backup-simplify]: Simplify (- 0) into 0
6.239 * [taylor]: Taking taylor expansion of 0 in K
6.239 * [backup-simplify]: Simplify 0 into 0
6.239 * [backup-simplify]: Simplify 0 into 0
6.239 * [taylor]: Taking taylor expansion of 0 in K
6.239 * [backup-simplify]: Simplify 0 into 0
6.239 * [backup-simplify]: Simplify 0 into 0
6.239 * [backup-simplify]: Simplify (* -1 (* 1 (* 1 (/ 1 (/ 1 U))))) into (* -1 U)
6.240 * [backup-simplify]: Simplify (* (sqrt (+ (* (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))))) 1)) (* (cos (/ (/ 1 (- K)) 2)) (* -2 (/ 1 (- J))))) into (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))))
6.240 * [approximate]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in (U J K) around 0
6.240 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in K
6.240 * [taylor]: Taking taylor expansion of 2 in K
6.240 * [backup-simplify]: Simplify 2 into 2
6.240 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in K
6.240 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K
6.240 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
6.240 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
6.240 * [taylor]: Taking taylor expansion of -1/2 in K
6.240 * [backup-simplify]: Simplify -1/2 into -1/2
6.240 * [taylor]: Taking taylor expansion of K in K
6.240 * [backup-simplify]: Simplify 0 into 0
6.240 * [backup-simplify]: Simplify 1 into 1
6.241 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
6.241 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.241 * [taylor]: Taking taylor expansion of J in K
6.241 * [backup-simplify]: Simplify J into J
6.241 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
6.241 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K
6.241 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K
6.241 * [taylor]: Taking taylor expansion of 1 in K
6.241 * [backup-simplify]: Simplify 1 into 1
6.241 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
6.241 * [taylor]: Taking taylor expansion of 1/4 in K
6.241 * [backup-simplify]: Simplify 1/4 into 1/4
6.241 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
6.241 * [taylor]: Taking taylor expansion of (pow J 2) in K
6.241 * [taylor]: Taking taylor expansion of J in K
6.241 * [backup-simplify]: Simplify J into J
6.241 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
6.241 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
6.241 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
6.241 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
6.241 * [taylor]: Taking taylor expansion of -1/2 in K
6.241 * [backup-simplify]: Simplify -1/2 into -1/2
6.241 * [taylor]: Taking taylor expansion of K in K
6.242 * [backup-simplify]: Simplify 0 into 0
6.242 * [backup-simplify]: Simplify 1 into 1
6.242 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
6.242 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.242 * [taylor]: Taking taylor expansion of (pow U 2) in K
6.242 * [taylor]: Taking taylor expansion of U in K
6.242 * [backup-simplify]: Simplify U into U
6.242 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.242 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
6.242 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.242 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
6.243 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
6.243 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
6.243 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))
6.244 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))
6.244 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.244 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
6.244 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
6.244 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
6.245 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0
6.245 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
6.246 * [backup-simplify]: Simplify (+ 0 0) into 0
6.246 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0
6.246 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J
6.246 * [taylor]: Taking taylor expansion of 2 in J
6.246 * [backup-simplify]: Simplify 2 into 2
6.246 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J
6.246 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
6.246 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
6.247 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
6.247 * [taylor]: Taking taylor expansion of -1/2 in J
6.247 * [backup-simplify]: Simplify -1/2 into -1/2
6.247 * [taylor]: Taking taylor expansion of K in J
6.247 * [backup-simplify]: Simplify K into K
6.247 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
6.247 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.247 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
6.247 * [taylor]: Taking taylor expansion of J in J
6.247 * [backup-simplify]: Simplify 0 into 0
6.247 * [backup-simplify]: Simplify 1 into 1
6.247 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.247 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
6.247 * [backup-simplify]: Simplify (- 0) into 0
6.247 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
6.248 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.248 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
6.248 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
6.248 * [taylor]: Taking taylor expansion of 1 in J
6.248 * [backup-simplify]: Simplify 1 into 1
6.248 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
6.248 * [taylor]: Taking taylor expansion of 1/4 in J
6.248 * [backup-simplify]: Simplify 1/4 into 1/4
6.248 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
6.248 * [taylor]: Taking taylor expansion of (pow J 2) in J
6.248 * [taylor]: Taking taylor expansion of J in J
6.248 * [backup-simplify]: Simplify 0 into 0
6.248 * [backup-simplify]: Simplify 1 into 1
6.248 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
6.248 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
6.248 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
6.248 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
6.248 * [taylor]: Taking taylor expansion of -1/2 in J
6.248 * [backup-simplify]: Simplify -1/2 into -1/2
6.248 * [taylor]: Taking taylor expansion of K in J
6.248 * [backup-simplify]: Simplify K into K
6.248 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
6.248 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.248 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
6.248 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.248 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
6.249 * [backup-simplify]: Simplify (- 0) into 0
6.249 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
6.249 * [taylor]: Taking taylor expansion of (pow U 2) in J
6.249 * [taylor]: Taking taylor expansion of U in J
6.249 * [backup-simplify]: Simplify U into U
6.249 * [backup-simplify]: Simplify (* 1 1) into 1
6.249 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
6.250 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.250 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
6.250 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
6.255 * [backup-simplify]: Simplify (+ 1 0) into 1
6.255 * [backup-simplify]: Simplify (sqrt 1) into 1
6.256 * [backup-simplify]: Simplify (+ 0 0) into 0
6.256 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.256 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U
6.257 * [taylor]: Taking taylor expansion of 2 in U
6.257 * [backup-simplify]: Simplify 2 into 2
6.257 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U
6.257 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U
6.257 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
6.257 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
6.257 * [taylor]: Taking taylor expansion of -1/2 in U
6.257 * [backup-simplify]: Simplify -1/2 into -1/2
6.257 * [taylor]: Taking taylor expansion of K in U
6.257 * [backup-simplify]: Simplify K into K
6.257 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
6.257 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.257 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
6.257 * [taylor]: Taking taylor expansion of J in U
6.257 * [backup-simplify]: Simplify J into J
6.257 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.257 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
6.258 * [backup-simplify]: Simplify (- 0) into 0
6.258 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
6.258 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
6.258 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
6.258 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
6.258 * [taylor]: Taking taylor expansion of 1 in U
6.258 * [backup-simplify]: Simplify 1 into 1
6.258 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
6.258 * [taylor]: Taking taylor expansion of 1/4 in U
6.258 * [backup-simplify]: Simplify 1/4 into 1/4
6.258 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
6.258 * [taylor]: Taking taylor expansion of (pow J 2) in U
6.258 * [taylor]: Taking taylor expansion of J in U
6.258 * [backup-simplify]: Simplify J into J
6.258 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
6.258 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
6.258 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
6.258 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
6.258 * [taylor]: Taking taylor expansion of -1/2 in U
6.258 * [backup-simplify]: Simplify -1/2 into -1/2
6.258 * [taylor]: Taking taylor expansion of K in U
6.258 * [backup-simplify]: Simplify K into K
6.258 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
6.258 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.258 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
6.259 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.259 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
6.259 * [backup-simplify]: Simplify (- 0) into 0
6.259 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
6.259 * [taylor]: Taking taylor expansion of (pow U 2) in U
6.259 * [taylor]: Taking taylor expansion of U in U
6.259 * [backup-simplify]: Simplify 0 into 0
6.259 * [backup-simplify]: Simplify 1 into 1
6.259 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.259 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
6.260 * [backup-simplify]: Simplify (* 1 1) into 1
6.260 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
6.260 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
6.260 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
6.261 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
6.261 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
6.261 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.261 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.262 * [backup-simplify]: Simplify (+ 0) into 0
6.262 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
6.262 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
6.263 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.264 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
6.264 * [backup-simplify]: Simplify (- 0) into 0
6.264 * [backup-simplify]: Simplify (+ 0 0) into 0
6.265 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
6.265 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
6.265 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
6.266 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
6.266 * [backup-simplify]: Simplify (+ 0 0) into 0
6.267 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
6.267 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U
6.267 * [taylor]: Taking taylor expansion of 2 in U
6.267 * [backup-simplify]: Simplify 2 into 2
6.267 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U
6.267 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U
6.267 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
6.267 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
6.267 * [taylor]: Taking taylor expansion of -1/2 in U
6.267 * [backup-simplify]: Simplify -1/2 into -1/2
6.267 * [taylor]: Taking taylor expansion of K in U
6.267 * [backup-simplify]: Simplify K into K
6.267 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
6.267 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.267 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
6.267 * [taylor]: Taking taylor expansion of J in U
6.267 * [backup-simplify]: Simplify J into J
6.267 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.267 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
6.268 * [backup-simplify]: Simplify (- 0) into 0
6.268 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
6.268 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
6.268 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
6.268 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
6.268 * [taylor]: Taking taylor expansion of 1 in U
6.268 * [backup-simplify]: Simplify 1 into 1
6.268 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
6.268 * [taylor]: Taking taylor expansion of 1/4 in U
6.268 * [backup-simplify]: Simplify 1/4 into 1/4
6.268 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
6.268 * [taylor]: Taking taylor expansion of (pow J 2) in U
6.268 * [taylor]: Taking taylor expansion of J in U
6.268 * [backup-simplify]: Simplify J into J
6.268 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
6.268 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
6.268 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
6.268 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
6.268 * [taylor]: Taking taylor expansion of -1/2 in U
6.268 * [backup-simplify]: Simplify -1/2 into -1/2
6.268 * [taylor]: Taking taylor expansion of K in U
6.268 * [backup-simplify]: Simplify K into K
6.268 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
6.268 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.268 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
6.268 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.268 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
6.269 * [backup-simplify]: Simplify (- 0) into 0
6.269 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
6.269 * [taylor]: Taking taylor expansion of (pow U 2) in U
6.269 * [taylor]: Taking taylor expansion of U in U
6.269 * [backup-simplify]: Simplify 0 into 0
6.269 * [backup-simplify]: Simplify 1 into 1
6.269 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.269 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
6.269 * [backup-simplify]: Simplify (* 1 1) into 1
6.269 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
6.269 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
6.270 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
6.270 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
6.270 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
6.270 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.270 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.270 * [backup-simplify]: Simplify (+ 0) into 0
6.271 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
6.271 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
6.271 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.272 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
6.272 * [backup-simplify]: Simplify (- 0) into 0
6.272 * [backup-simplify]: Simplify (+ 0 0) into 0
6.272 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
6.273 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
6.273 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
6.273 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
6.273 * [backup-simplify]: Simplify (+ 0 0) into 0
6.274 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
6.274 * [backup-simplify]: Simplify (* (/ (cos (/ -1/2 K)) J) (* 1/2 (/ J (cos (/ -1/2 K))))) into 1/2
6.274 * [backup-simplify]: Simplify (* 2 1/2) into 1
6.274 * [taylor]: Taking taylor expansion of 1 in J
6.274 * [backup-simplify]: Simplify 1 into 1
6.274 * [backup-simplify]: Simplify (+ 0) into 0
6.275 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
6.275 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
6.275 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.275 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
6.276 * [backup-simplify]: Simplify (- 0) into 0
6.276 * [backup-simplify]: Simplify (+ 0 0) into 0
6.276 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0
6.276 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
6.277 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1/2)) into 0
6.277 * [taylor]: Taking taylor expansion of 0 in J
6.277 * [backup-simplify]: Simplify 0 into 0
6.277 * [taylor]: Taking taylor expansion of 1 in K
6.277 * [backup-simplify]: Simplify 1 into 1
6.277 * [backup-simplify]: Simplify 1 into 1
6.277 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
6.278 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.278 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.279 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
6.279 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
6.279 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.279 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
6.280 * [backup-simplify]: Simplify (- 0) into 0
6.280 * [backup-simplify]: Simplify (+ 0 0) into 0
6.280 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
6.281 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
6.281 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
6.282 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0
6.282 * [backup-simplify]: Simplify (+ 1 0) into 1
6.282 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J)
6.283 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.283 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
6.283 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
6.284 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.284 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
6.285 * [backup-simplify]: Simplify (- 0) into 0
6.285 * [backup-simplify]: Simplify (+ 0 0) into 0
6.285 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0
6.286 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))
6.286 * [backup-simplify]: Simplify (+ (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2))) into (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))
6.286 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J
6.286 * [taylor]: Taking taylor expansion of 2 in J
6.286 * [backup-simplify]: Simplify 2 into 2
6.286 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J
6.286 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
6.286 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
6.286 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
6.286 * [taylor]: Taking taylor expansion of -1/2 in J
6.286 * [backup-simplify]: Simplify -1/2 into -1/2
6.286 * [taylor]: Taking taylor expansion of K in J
6.286 * [backup-simplify]: Simplify K into K
6.286 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
6.286 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.286 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
6.286 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.287 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
6.287 * [backup-simplify]: Simplify (- 0) into 0
6.287 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
6.287 * [taylor]: Taking taylor expansion of (pow J 2) in J
6.287 * [taylor]: Taking taylor expansion of J in J
6.287 * [backup-simplify]: Simplify 0 into 0
6.287 * [backup-simplify]: Simplify 1 into 1
6.287 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
6.287 * [backup-simplify]: Simplify (* 1 1) into 1
6.287 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
6.288 * [backup-simplify]: Simplify (+ 0) into 0
6.288 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
6.288 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
6.288 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.289 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
6.289 * [backup-simplify]: Simplify (- 0) into 0
6.289 * [backup-simplify]: Simplify (+ 0 0) into 0
6.289 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
6.290 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.290 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0
6.291 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0
6.291 * [taylor]: Taking taylor expansion of 0 in K
6.291 * [backup-simplify]: Simplify 0 into 0
6.291 * [backup-simplify]: Simplify 0 into 0
6.291 * [taylor]: Taking taylor expansion of 0 in K
6.291 * [backup-simplify]: Simplify 0 into 0
6.291 * [backup-simplify]: Simplify 0 into 0
6.291 * [taylor]: Taking taylor expansion of 0 in K
6.291 * [backup-simplify]: Simplify 0 into 0
6.291 * [backup-simplify]: Simplify 0 into 0
6.291 * [backup-simplify]: Simplify 0 into 0
6.291 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
6.292 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.292 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
6.293 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.293 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
6.294 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
6.294 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
6.295 * [backup-simplify]: Simplify (- 0) into 0
6.295 * [backup-simplify]: Simplify (+ 0 0) into 0
6.295 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
6.296 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.297 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
6.298 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
6.299 * [backup-simplify]: Simplify (+ 0 0) into 0
6.299 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
6.300 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
6.301 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.301 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
6.303 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
6.303 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
6.304 * [backup-simplify]: Simplify (- 0) into 0
6.304 * [backup-simplify]: Simplify (+ 0 0) into 0
6.304 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0
6.305 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) 0) (+ (* 0 (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0
6.306 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0
6.306 * [taylor]: Taking taylor expansion of 0 in J
6.306 * [backup-simplify]: Simplify 0 into 0
6.307 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.308 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
6.308 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
6.309 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.309 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
6.310 * [backup-simplify]: Simplify (- 0) into 0
6.310 * [backup-simplify]: Simplify (+ 0 0) into 0
6.311 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
6.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.313 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.314 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0
6.314 * [taylor]: Taking taylor expansion of 0 in K
6.314 * [backup-simplify]: Simplify 0 into 0
6.314 * [backup-simplify]: Simplify 0 into 0
6.314 * [taylor]: Taking taylor expansion of 0 in K
6.314 * [backup-simplify]: Simplify 0 into 0
6.314 * [backup-simplify]: Simplify 0 into 0
6.314 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- U)))))) into (* -1 U)
6.314 * * * [progress]: simplifying candidates
6.314 * * * * [progress]: [ 1 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (pow (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) 1/2) (* (cos (/ K 2)) (* -2 J))))))>
6.314 * * * * [progress]: [ 2 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (pow (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) 1) (* (cos (/ K 2)) (* -2 J))))))>
6.315 * * * * [progress]: [ 3 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (exp (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J))))))>
6.315 * * * * [progress]: [ 4 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (log (exp (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J))))))>
6.315 * * * * [progress]: [ 5 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J))))))>
6.315 * * * * [progress]: [ 6 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J))))))>
6.315 * * * * [progress]: [ 7 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (* (sqrt (* (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (sqrt (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J))))))>
6.315 * * * * [progress]: [ 8 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J))))))>
6.315 * * * * [progress]: [ 9 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (* (sqrt 1) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J))))))>
6.315 * * * * [progress]: [ 10 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (/ (sqrt (+ (pow (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 3) (pow 1 3))) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (cos (/ K 2)) (* -2 J))))))>
6.315 * * * * [progress]: [ 11 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (/ (sqrt (- (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* 1 1))) (sqrt (- (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J))))))>
6.315 * * * * [progress]: [ 12 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (pow (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) (/ 1 2)) (* (cos (/ K 2)) (* -2 J))))))>
6.316 * * * * [progress]: [ 13 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J))))))>
6.316 * * * * [progress]: [ 14 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (fabs (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J))))))>
6.316 * * * * [progress]: [ 15 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (* 1 (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J))))))>
6.316 * * * * [progress]: [ 16 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (posit16->real (real->posit16 (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J))))))>
6.316 * * * * [progress]: [ 17 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (pow (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) 1/2) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
6.316 * * * * [progress]: [ 18 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (pow (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) 1) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
6.316 * * * * [progress]: [ 19 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (exp (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
6.316 * * * * [progress]: [ 20 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (log (exp (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
6.316 * * * * [progress]: [ 21 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
6.316 * * * * [progress]: [ 22 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
6.316 * * * * [progress]: [ 23 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (* (sqrt (* (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (sqrt (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
6.317 * * * * [progress]: [ 24 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
6.317 * * * * [progress]: [ 25 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (* (sqrt 1) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
6.317 * * * * [progress]: [ 26 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (/ (sqrt (+ (pow (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 3) (pow 1 3))) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
6.317 * * * * [progress]: [ 27 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (/ (sqrt (- (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* 1 1))) (sqrt (- (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
6.317 * * * * [progress]: [ 28 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (pow (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) (/ 1 2)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
6.317 * * * * [progress]: [ 29 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
6.317 * * * * [progress]: [ 30 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (fabs (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
6.317 * * * * [progress]: [ 31 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (* 1 (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
6.317 * * * * [progress]: [ 32 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (posit16->real (real->posit16 (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
6.318 * * * * [progress]: [ 33 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (pow (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) 1/2) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
6.318 * * * * [progress]: [ 34 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (pow (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) 1) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
6.318 * * * * [progress]: [ 35 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (exp (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
6.318 * * * * [progress]: [ 36 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (log (exp (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
6.318 * * * * [progress]: [ 37 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
6.318 * * * * [progress]: [ 38 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
6.318 * * * * [progress]: [ 39 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (* (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (sqrt (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
6.318 * * * * [progress]: [ 40 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
6.318 * * * * [progress]: [ 41 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt 1) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
6.318 * * * * [progress]: [ 42 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (/ (sqrt (+ (pow (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 3) (pow 1 3))) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
6.319 * * * * [progress]: [ 43 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (/ (sqrt (- (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* 1 1))) (sqrt (- (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
6.319 * * * * [progress]: [ 44 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (pow (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) (/ 1 2)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
6.319 * * * * [progress]: [ 45 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
6.319 * * * * [progress]: [ 46 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (fabs (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
6.319 * * * * [progress]: [ 47 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* 1 (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
6.319 * * * * [progress]: [ 48 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (posit16->real (real->posit16 (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
6.319 * * * * [progress]: [ 49 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (pow (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))) 1))))>
6.319 * * * * [progress]: [ 50 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (pow (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))) 1))))>
6.319 * * * * [progress]: [ 51 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (pow (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))) 1))))>
6.319 * * * * [progress]: [ 52 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (pow (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))) 1))))>
6.320 * * * * [progress]: [ 53 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (exp (+ (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (+ (log (cos (/ K 2))) (+ (log -2) (log J))))))))>
6.320 * * * * [progress]: [ 54 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (exp (+ (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (+ (log (cos (/ K 2))) (log (* -2 J))))))))>
6.320 * * * * [progress]: [ 55 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (exp (+ (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (log (* (cos (/ K 2)) (* -2 J))))))))>
6.320 * * * * [progress]: [ 56 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (exp (log (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))))>
6.320 * * * * [progress]: [ 57 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (log (exp (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))))>
6.320 * * * * [progress]: [ 58 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (cbrt (* (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* -2 -2) -2) (* (* J J) J))))))))>
6.320 * * * * [progress]: [ 59 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (cbrt (* (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* -2 J) (* -2 J)) (* -2 J))))))))>
6.320 * * * * [progress]: [ 60 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (cbrt (* (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (* (cos (/ K 2)) (* -2 J)) (* (cos (/ K 2)) (* -2 J))) (* (cos (/ K 2)) (* -2 J))))))))>
6.320 * * * * [progress]: [ 61 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))))>
6.321 * * * * [progress]: [ 62 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (cbrt (* (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))))>
6.321 * * * * [progress]: [ 63 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (sqrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))))>
6.321 * * * * [progress]: [ 64 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* 1 (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))))))>
6.321 * * * * [progress]: [ 65 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))))>
6.321 * * * * [progress]: [ 66 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
6.321 * * * * [progress]: [ 67 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (* (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (sqrt (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
6.321 * * * * [progress]: [ 68 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
6.321 * * * * [progress]: [ 69 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt 1) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))))))>
6.321 * * * * [progress]: [ 70 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
6.321 * * * * [progress]: [ 71 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* 1 (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))))))>
6.322 * * * * [progress]: [ 72 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (/ (* (sqrt (+ (pow (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 3) (pow 1 3))) (* (cos (/ K 2)) (* -2 J))) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))))>
6.322 * * * * [progress]: [ 73 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (/ (* (sqrt (- (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* 1 1))) (* (cos (/ K 2)) (* -2 J))) (sqrt (- (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))>
6.322 * * * * [progress]: [ 74 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (posit16->real (real->posit16 (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))))>
6.322 * * * * [progress]: [ 75 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (* (cos (/ K 2)) (* -2 J)) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))>
6.322 * * * * [progress]: [ 76 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* 1 (* (cos (/ K 2)) (* -2 J))))))>
6.322 * * * * [progress]: [ 77 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* (cos (/ K 2)) (* -2 J))))))>
6.322 * * * * [progress]: [ 78 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* (cos (/ K 2)) (* -2 J))))))>
6.322 * * * * [progress]: [ 79 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* 1 (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
6.322 * * * * [progress]: [ 80 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
6.322 * * * * [progress]: [ 81 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
6.322 * * * * [progress]: [ 82 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* 1 (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
6.323 * * * * [progress]: [ 83 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
6.323 * * * * [progress]: [ 84 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
6.323 * * * * [progress]: [ 85 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))))))>
6.323 * * * * [progress]: [ 86 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* -1 U))))>
6.323 * * * * [progress]: [ 87 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* -1 U))))>
6.325 * [simplify]: Simplifying:
  (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (exp (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))
  (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt (* (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))
  (sqrt (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt 1)
  (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))
  (sqrt (+ (pow (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 3) (pow 1 3)))
  (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))
  (sqrt (- (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* 1 1)))
  (sqrt (- (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))
  (/ 1 2)
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (real->posit16 (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (exp (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))
  (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt (* (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))
  (sqrt (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt 1)
  (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))
  (sqrt (+ (pow (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 3) (pow 1 3)))
  (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))
  (sqrt (- (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* 1 1)))
  (sqrt (- (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))
  (/ 1 2)
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (real->posit16 (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (exp (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))
  (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt (* (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))
  (sqrt (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt 1)
  (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))
  (sqrt (+ (pow (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 3) (pow 1 3)))
  (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))
  (sqrt (- (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* 1 1)))
  (sqrt (- (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))
  (/ 1 2)
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (real->posit16 (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))
  (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))
  (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))
  (+ (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (+ (log (cos (/ K 2))) (+ (log -2) (log J))))
  (+ (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (+ (log (cos (/ K 2))) (log (* -2 J))))
  (+ (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (log (* (cos (/ K 2)) (* -2 J))))
  (log (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))
  (exp (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))
  (* (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* -2 -2) -2) (* (* J J) J))))
  (* (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* -2 J) (* -2 J)) (* -2 J))))
  (* (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (* (cos (/ K 2)) (* -2 J)) (* (cos (/ K 2)) (* -2 J))) (* (cos (/ K 2)) (* -2 J))))
  (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))))
  (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))
  (* (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))
  (sqrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))
  (sqrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))
  (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2)))
  (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))
  (* (sqrt (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))
  (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))
  (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))
  (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))
  (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))
  (* (sqrt (+ (pow (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 3) (pow 1 3))) (* (cos (/ K 2)) (* -2 J)))
  (* (sqrt (- (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* 1 1))) (* (cos (/ K 2)) (* -2 J)))
  (real->posit16 (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))
  1
  (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
  (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
  1
  (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
  (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
  1
  (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
  (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
  (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J))))
  (* -1 U)
  (* -1 U)
6.329 * * [simplify]: iteration 1: (102 enodes)
6.356 * * [simplify]: iteration 2: (247 enodes)
6.510 * * [simplify]: iteration 3: (868 enodes)
7.578 * * [simplify]: Extracting #0: cost 33 inf + 0
7.579 * * [simplify]: Extracting #1: cost 312 inf + 2
7.582 * * [simplify]: Extracting #2: cost 950 inf + 951
7.588 * * [simplify]: Extracting #3: cost 1214 inf + 10371
7.599 * * [simplify]: Extracting #4: cost 1261 inf + 15653
7.618 * * [simplify]: Extracting #5: cost 929 inf + 112246
7.700 * * [simplify]: Extracting #6: cost 269 inf + 379110
7.861 * * [simplify]: Extracting #7: cost 7 inf + 503323
8.107 * * [simplify]: Extracting #8: cost 0 inf + 505631
8.276 * * [simplify]: Extracting #9: cost 0 inf + 505537
8.439 * [simplify]: Simplified to:
  (log (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  (exp (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  (* (cbrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) (cbrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))))
  (cbrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))
  (fabs (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  (sqrt (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  (sqrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  (sqrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  1
  (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))
  (sqrt (+ 1 (* (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))
  (sqrt (+ (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (- 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))
  (sqrt (+ -1 (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))
  (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) -1))
  1/2
  (sqrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  (sqrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  (real->posit16 (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  (log (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  (exp (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  (* (cbrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) (cbrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))))
  (cbrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))
  (fabs (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  (sqrt (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  (sqrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  (sqrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  1
  (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))
  (sqrt (+ 1 (* (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))
  (sqrt (+ (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (- 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))
  (sqrt (+ -1 (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))
  (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) -1))
  1/2
  (sqrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  (sqrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  (real->posit16 (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  (log (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  (exp (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  (* (cbrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) (cbrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))))
  (cbrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))
  (fabs (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  (sqrt (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  (sqrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  (sqrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  1
  (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))
  (sqrt (+ 1 (* (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))
  (sqrt (+ (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (- 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))
  (sqrt (+ -1 (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))
  (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) -1))
  1/2
  (sqrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  (sqrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  (real->posit16 (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  (* (- (* (* 2 J) (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))) (cos (/ K 2)))
  (* (- (* (* 2 J) (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))) (cos (/ K 2)))
  (* (- (* (* 2 J) (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))) (cos (/ K 2)))
  (log (* (- (* (* 2 J) (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))) (cos (/ K 2))))
  (log (* (- (* (* 2 J) (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))) (cos (/ K 2))))
  (log (* (- (* (* 2 J) (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))) (cos (/ K 2))))
  (log (* (- (* (* 2 J) (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))) (cos (/ K 2))))
  (exp (* (- (* (* 2 J) (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))) (cos (/ K 2))))
  (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (* (* (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1) (* -2 (* (cos (/ K 2)) J))) (* (* -2 (* (cos (/ K 2)) J)) (* -2 (* (cos (/ K 2)) J)))))
  (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (* (* (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1) (* -2 (* (cos (/ K 2)) J))) (* (* -2 (* (cos (/ K 2)) J)) (* -2 (* (cos (/ K 2)) J)))))
  (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (* (* (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1) (* -2 (* (cos (/ K 2)) J))) (* (* -2 (* (cos (/ K 2)) J)) (* -2 (* (cos (/ K 2)) J)))))
  (* (cbrt (* (- (* (* 2 J) (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))) (cos (/ K 2)))) (cbrt (* (- (* (* 2 J) (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))) (cos (/ K 2)))))
  (cbrt (* (- (* (* 2 J) (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))) (cos (/ K 2))))
  (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (* (* (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1) (* -2 (* (cos (/ K 2)) J))) (* (* -2 (* (cos (/ K 2)) J)) (* -2 (* (cos (/ K 2)) J)))))
  (sqrt (* (- (* (* 2 J) (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))) (cos (/ K 2))))
  (sqrt (* (- (* (* 2 J) (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))) (cos (/ K 2))))
  (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (cos (/ K 2)))
  (* (cos (/ K 2)) (- (* (cbrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) (* 2 J))))
  (* (cos (/ K 2)) (- (* (* 2 J) (sqrt (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))))))
  (* (- (* (* 2 J) (sqrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))))) (cos (/ K 2)))
  (* (- (* (* 2 J) (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))) (cos (/ K 2)))
  (* (- (* (* 2 J) (sqrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))))) (cos (/ K 2)))
  (* (- (* (* 2 J) (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))) (cos (/ K 2)))
  (* (- (* (sqrt (+ 1 (* (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* 2 J))) (cos (/ K 2)))
  (* (cos (/ K 2)) (- (* (* 2 J) (sqrt (+ -1 (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))))))
  (real->posit16 (* (- (* (* 2 J) (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))) (cos (/ K 2))))
  1
  (* (/ 1/2 (cos (* 1/2 K))) (/ U J))
  (* (/ 1/2 (cos (* 1/2 K))) (/ U J))
  1
  (* (/ 1/2 (cos (* 1/2 K))) (/ U J))
  (* (/ 1/2 (cos (* 1/2 K))) (/ U J))
  1
  (* (/ 1/2 (cos (* 1/2 K))) (/ U J))
  (* (/ 1/2 (cos (* 1/2 K))) (/ U J))
  (- (* J -2) (* 1/4 (/ U (/ J U))))
  (- U)
  (- U)
8.465 * * * [progress]: adding candidates to table
9.059 * * [progress]: iteration 3 / 4
9.059 * * * [progress]: picking best candidate
9.114 * * * * [pick]: Picked  #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
9.114 * * * [progress]: localizing error
9.204 * * * [progress]: generating rewritten candidates
9.204 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 1)
9.372 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1)
9.499 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 1)
9.627 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1)
9.778 * * * [progress]: generating series expansions
9.778 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 1)
9.778 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))
9.779 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U J K) around 0
9.779 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K
9.779 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K
9.779 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
9.779 * [taylor]: Taking taylor expansion of 1/4 in K
9.779 * [backup-simplify]: Simplify 1/4 into 1/4
9.779 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
9.779 * [taylor]: Taking taylor expansion of (pow U 2) in K
9.779 * [taylor]: Taking taylor expansion of U in K
9.779 * [backup-simplify]: Simplify U into U
9.779 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
9.779 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
9.779 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
9.779 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
9.779 * [taylor]: Taking taylor expansion of 1/2 in K
9.779 * [backup-simplify]: Simplify 1/2 into 1/2
9.779 * [taylor]: Taking taylor expansion of K in K
9.779 * [backup-simplify]: Simplify 0 into 0
9.779 * [backup-simplify]: Simplify 1 into 1
9.779 * [backup-simplify]: Simplify (* 1/2 0) into 0
9.780 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
9.780 * [taylor]: Taking taylor expansion of (pow J 2) in K
9.780 * [taylor]: Taking taylor expansion of J in K
9.780 * [backup-simplify]: Simplify J into J
9.780 * [backup-simplify]: Simplify (* U U) into (pow U 2)
9.780 * [backup-simplify]: Simplify (* 1 1) into 1
9.780 * [backup-simplify]: Simplify (* J J) into (pow J 2)
9.780 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
9.780 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
9.780 * [taylor]: Taking taylor expansion of 1 in K
9.780 * [backup-simplify]: Simplify 1 into 1
9.781 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2)))
9.781 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
9.781 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
9.781 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
9.781 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
9.781 * [backup-simplify]: Simplify (+ 0) into 0
9.782 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.782 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
9.782 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
9.782 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0
9.783 * [backup-simplify]: Simplify (+ 0 0) into 0
9.783 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
9.783 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J
9.783 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J
9.783 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
9.783 * [taylor]: Taking taylor expansion of 1/4 in J
9.783 * [backup-simplify]: Simplify 1/4 into 1/4
9.783 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
9.783 * [taylor]: Taking taylor expansion of (pow U 2) in J
9.783 * [taylor]: Taking taylor expansion of U in J
9.783 * [backup-simplify]: Simplify U into U
9.783 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
9.783 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
9.783 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
9.783 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
9.783 * [taylor]: Taking taylor expansion of 1/2 in J
9.783 * [backup-simplify]: Simplify 1/2 into 1/2
9.783 * [taylor]: Taking taylor expansion of K in J
9.783 * [backup-simplify]: Simplify K into K
9.783 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
9.783 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
9.783 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
9.783 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
9.783 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
9.784 * [backup-simplify]: Simplify (- 0) into 0
9.784 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
9.784 * [taylor]: Taking taylor expansion of (pow J 2) in J
9.784 * [taylor]: Taking taylor expansion of J in J
9.784 * [backup-simplify]: Simplify 0 into 0
9.784 * [backup-simplify]: Simplify 1 into 1
9.784 * [backup-simplify]: Simplify (* U U) into (pow U 2)
9.784 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
9.784 * [backup-simplify]: Simplify (* 1 1) into 1
9.784 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
9.784 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
9.784 * [taylor]: Taking taylor expansion of 1 in J
9.784 * [backup-simplify]: Simplify 1 into 1
9.784 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
9.785 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
9.785 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
9.785 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
9.785 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.785 * [backup-simplify]: Simplify (+ 0) into 0
9.786 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
9.786 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
9.787 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.787 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
9.787 * [backup-simplify]: Simplify (- 0) into 0
9.787 * [backup-simplify]: Simplify (+ 0 0) into 0
9.787 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
9.788 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
9.788 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
9.788 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0
9.789 * [backup-simplify]: Simplify (+ 0 0) into 0
9.789 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
9.789 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
9.789 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
9.789 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
9.789 * [taylor]: Taking taylor expansion of 1/4 in U
9.789 * [backup-simplify]: Simplify 1/4 into 1/4
9.789 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
9.789 * [taylor]: Taking taylor expansion of (pow U 2) in U
9.789 * [taylor]: Taking taylor expansion of U in U
9.789 * [backup-simplify]: Simplify 0 into 0
9.789 * [backup-simplify]: Simplify 1 into 1
9.789 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
9.789 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
9.789 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
9.789 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
9.789 * [taylor]: Taking taylor expansion of 1/2 in U
9.789 * [backup-simplify]: Simplify 1/2 into 1/2
9.789 * [taylor]: Taking taylor expansion of K in U
9.789 * [backup-simplify]: Simplify K into K
9.789 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
9.789 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
9.789 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
9.789 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
9.789 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
9.789 * [backup-simplify]: Simplify (- 0) into 0
9.789 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
9.790 * [taylor]: Taking taylor expansion of (pow J 2) in U
9.790 * [taylor]: Taking taylor expansion of J in U
9.790 * [backup-simplify]: Simplify J into J
9.790 * [backup-simplify]: Simplify (* 1 1) into 1
9.790 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
9.790 * [backup-simplify]: Simplify (* J J) into (pow J 2)
9.790 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
9.790 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
9.790 * [taylor]: Taking taylor expansion of 1 in U
9.790 * [backup-simplify]: Simplify 1 into 1
9.790 * [backup-simplify]: Simplify (+ 0 1) into 1
9.791 * [backup-simplify]: Simplify (sqrt 1) into 1
9.791 * [backup-simplify]: Simplify (+ 0 0) into 0
9.791 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.791 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
9.791 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
9.791 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
9.791 * [taylor]: Taking taylor expansion of 1/4 in U
9.791 * [backup-simplify]: Simplify 1/4 into 1/4
9.791 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
9.791 * [taylor]: Taking taylor expansion of (pow U 2) in U
9.791 * [taylor]: Taking taylor expansion of U in U
9.791 * [backup-simplify]: Simplify 0 into 0
9.791 * [backup-simplify]: Simplify 1 into 1
9.791 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
9.791 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
9.791 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
9.792 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
9.792 * [taylor]: Taking taylor expansion of 1/2 in U
9.792 * [backup-simplify]: Simplify 1/2 into 1/2
9.792 * [taylor]: Taking taylor expansion of K in U
9.792 * [backup-simplify]: Simplify K into K
9.792 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
9.792 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
9.792 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
9.792 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
9.792 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
9.792 * [backup-simplify]: Simplify (- 0) into 0
9.792 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
9.792 * [taylor]: Taking taylor expansion of (pow J 2) in U
9.792 * [taylor]: Taking taylor expansion of J in U
9.792 * [backup-simplify]: Simplify J into J
9.792 * [backup-simplify]: Simplify (* 1 1) into 1
9.793 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
9.793 * [backup-simplify]: Simplify (* J J) into (pow J 2)
9.793 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
9.793 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
9.793 * [taylor]: Taking taylor expansion of 1 in U
9.793 * [backup-simplify]: Simplify 1 into 1
9.793 * [backup-simplify]: Simplify (+ 0 1) into 1
9.793 * [backup-simplify]: Simplify (sqrt 1) into 1
9.794 * [backup-simplify]: Simplify (+ 0 0) into 0
9.794 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.794 * [taylor]: Taking taylor expansion of 1 in J
9.794 * [backup-simplify]: Simplify 1 into 1
9.794 * [taylor]: Taking taylor expansion of 0 in J
9.794 * [backup-simplify]: Simplify 0 into 0
9.794 * [taylor]: Taking taylor expansion of 1 in K
9.794 * [backup-simplify]: Simplify 1 into 1
9.794 * [backup-simplify]: Simplify 1 into 1
9.794 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
9.794 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
9.795 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
9.795 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
9.795 * [taylor]: Taking taylor expansion of 1/8 in J
9.795 * [backup-simplify]: Simplify 1/8 into 1/8
9.795 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
9.795 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
9.795 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
9.795 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
9.795 * [taylor]: Taking taylor expansion of 1/2 in J
9.795 * [backup-simplify]: Simplify 1/2 into 1/2
9.795 * [taylor]: Taking taylor expansion of K in J
9.795 * [backup-simplify]: Simplify K into K
9.796 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
9.796 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
9.796 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
9.796 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
9.796 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
9.796 * [backup-simplify]: Simplify (- 0) into 0
9.796 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
9.796 * [taylor]: Taking taylor expansion of (pow J 2) in J
9.796 * [taylor]: Taking taylor expansion of J in J
9.796 * [backup-simplify]: Simplify 0 into 0
9.796 * [backup-simplify]: Simplify 1 into 1
9.796 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
9.796 * [backup-simplify]: Simplify (* 1 1) into 1
9.796 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
9.797 * [backup-simplify]: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2))
9.797 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.797 * [backup-simplify]: Simplify (+ 0) into 0
9.798 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
9.798 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
9.798 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.799 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
9.799 * [backup-simplify]: Simplify (- 0) into 0
9.799 * [backup-simplify]: Simplify (+ 0 0) into 0
9.799 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
9.799 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
9.800 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
9.800 * [taylor]: Taking taylor expansion of 0 in K
9.800 * [backup-simplify]: Simplify 0 into 0
9.800 * [backup-simplify]: Simplify 0 into 0
9.800 * [taylor]: Taking taylor expansion of 0 in K
9.800 * [backup-simplify]: Simplify 0 into 0
9.800 * [backup-simplify]: Simplify 0 into 0
9.800 * [taylor]: Taking taylor expansion of 0 in K
9.800 * [backup-simplify]: Simplify 0 into 0
9.800 * [backup-simplify]: Simplify 0 into 0
9.800 * [backup-simplify]: Simplify 0 into 0
9.800 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.800 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
9.801 * [backup-simplify]: Simplify (+ 0) into 0
9.801 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
9.801 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
9.802 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.802 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
9.802 * [backup-simplify]: Simplify (- 0) into 0
9.802 * [backup-simplify]: Simplify (+ 0 0) into 0
9.802 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
9.803 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0
9.803 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
9.803 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0
9.803 * [backup-simplify]: Simplify (+ 0 0) into 0
9.804 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0
9.804 * [taylor]: Taking taylor expansion of 0 in J
9.804 * [backup-simplify]: Simplify 0 into 0
9.805 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.805 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
9.806 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
9.806 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
9.807 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
9.807 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
9.807 * [backup-simplify]: Simplify (- 0) into 0
9.807 * [backup-simplify]: Simplify (+ 0 0) into 0
9.808 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0
9.808 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
9.808 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
9.808 * [taylor]: Taking taylor expansion of 0 in K
9.808 * [backup-simplify]: Simplify 0 into 0
9.809 * [backup-simplify]: Simplify 0 into 0
9.809 * [taylor]: Taking taylor expansion of 0 in K
9.809 * [backup-simplify]: Simplify 0 into 0
9.809 * [backup-simplify]: Simplify 0 into 0
9.809 * [backup-simplify]: Simplify 1 into 1
9.809 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
9.809 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U J K) around 0
9.809 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K
9.809 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K
9.809 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
9.809 * [taylor]: Taking taylor expansion of 1/4 in K
9.809 * [backup-simplify]: Simplify 1/4 into 1/4
9.809 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
9.809 * [taylor]: Taking taylor expansion of (pow J 2) in K
9.809 * [taylor]: Taking taylor expansion of J in K
9.809 * [backup-simplify]: Simplify J into J
9.809 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
9.809 * [taylor]: Taking taylor expansion of (pow U 2) in K
9.809 * [taylor]: Taking taylor expansion of U in K
9.809 * [backup-simplify]: Simplify U into U
9.809 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
9.809 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
9.809 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
9.809 * [taylor]: Taking taylor expansion of 1/2 in K
9.809 * [backup-simplify]: Simplify 1/2 into 1/2
9.809 * [taylor]: Taking taylor expansion of K in K
9.809 * [backup-simplify]: Simplify 0 into 0
9.809 * [backup-simplify]: Simplify 1 into 1
9.810 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
9.810 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
9.810 * [backup-simplify]: Simplify (* J J) into (pow J 2)
9.810 * [backup-simplify]: Simplify (* U U) into (pow U 2)
9.810 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
9.810 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
9.810 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
9.810 * [taylor]: Taking taylor expansion of 1 in K
9.810 * [backup-simplify]: Simplify 1 into 1
9.810 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))
9.810 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)
9.811 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
9.811 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
9.811 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
9.811 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
9.811 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
9.811 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
9.812 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
9.812 * [backup-simplify]: Simplify (+ 0 0) into 0
9.812 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
9.812 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
9.812 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
9.812 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
9.812 * [taylor]: Taking taylor expansion of 1/4 in J
9.812 * [backup-simplify]: Simplify 1/4 into 1/4
9.812 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
9.812 * [taylor]: Taking taylor expansion of (pow J 2) in J
9.812 * [taylor]: Taking taylor expansion of J in J
9.812 * [backup-simplify]: Simplify 0 into 0
9.812 * [backup-simplify]: Simplify 1 into 1
9.812 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
9.813 * [taylor]: Taking taylor expansion of (pow U 2) in J
9.813 * [taylor]: Taking taylor expansion of U in J
9.813 * [backup-simplify]: Simplify U into U
9.813 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
9.813 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
9.813 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
9.813 * [taylor]: Taking taylor expansion of 1/2 in J
9.813 * [backup-simplify]: Simplify 1/2 into 1/2
9.813 * [taylor]: Taking taylor expansion of K in J
9.813 * [backup-simplify]: Simplify K into K
9.813 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
9.813 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
9.813 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
9.813 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
9.813 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
9.813 * [backup-simplify]: Simplify (- 0) into 0
9.813 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
9.813 * [backup-simplify]: Simplify (* 1 1) into 1
9.813 * [backup-simplify]: Simplify (* U U) into (pow U 2)
9.814 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
9.814 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
9.814 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
9.814 * [taylor]: Taking taylor expansion of 1 in J
9.814 * [backup-simplify]: Simplify 1 into 1
9.814 * [backup-simplify]: Simplify (+ 0 1) into 1
9.814 * [backup-simplify]: Simplify (sqrt 1) into 1
9.815 * [backup-simplify]: Simplify (+ 0 0) into 0
9.815 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.815 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
9.815 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
9.815 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
9.815 * [taylor]: Taking taylor expansion of 1/4 in U
9.815 * [backup-simplify]: Simplify 1/4 into 1/4
9.815 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
9.815 * [taylor]: Taking taylor expansion of (pow J 2) in U
9.815 * [taylor]: Taking taylor expansion of J in U
9.815 * [backup-simplify]: Simplify J into J
9.815 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
9.815 * [taylor]: Taking taylor expansion of (pow U 2) in U
9.815 * [taylor]: Taking taylor expansion of U in U
9.815 * [backup-simplify]: Simplify 0 into 0
9.815 * [backup-simplify]: Simplify 1 into 1
9.815 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
9.815 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
9.815 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
9.815 * [taylor]: Taking taylor expansion of 1/2 in U
9.815 * [backup-simplify]: Simplify 1/2 into 1/2
9.815 * [taylor]: Taking taylor expansion of K in U
9.815 * [backup-simplify]: Simplify K into K
9.815 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
9.815 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
9.815 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
9.815 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
9.815 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
9.816 * [backup-simplify]: Simplify (- 0) into 0
9.816 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
9.816 * [backup-simplify]: Simplify (* J J) into (pow J 2)
9.816 * [backup-simplify]: Simplify (* 1 1) into 1
9.816 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
9.816 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
9.816 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
9.816 * [taylor]: Taking taylor expansion of 1 in U
9.816 * [backup-simplify]: Simplify 1 into 1
9.816 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
9.817 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
9.817 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
9.817 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
9.817 * [backup-simplify]: Simplify (+ 0) into 0
9.817 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
9.817 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
9.818 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.818 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
9.818 * [backup-simplify]: Simplify (- 0) into 0
9.819 * [backup-simplify]: Simplify (+ 0 0) into 0
9.819 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
9.819 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.819 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
9.820 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
9.820 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
9.820 * [backup-simplify]: Simplify (+ 0 0) into 0
9.821 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
9.821 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
9.821 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
9.821 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
9.821 * [taylor]: Taking taylor expansion of 1/4 in U
9.821 * [backup-simplify]: Simplify 1/4 into 1/4
9.821 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
9.821 * [taylor]: Taking taylor expansion of (pow J 2) in U
9.821 * [taylor]: Taking taylor expansion of J in U
9.821 * [backup-simplify]: Simplify J into J
9.821 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
9.821 * [taylor]: Taking taylor expansion of (pow U 2) in U
9.821 * [taylor]: Taking taylor expansion of U in U
9.821 * [backup-simplify]: Simplify 0 into 0
9.821 * [backup-simplify]: Simplify 1 into 1
9.821 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
9.821 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
9.821 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
9.821 * [taylor]: Taking taylor expansion of 1/2 in U
9.821 * [backup-simplify]: Simplify 1/2 into 1/2
9.821 * [taylor]: Taking taylor expansion of K in U
9.821 * [backup-simplify]: Simplify K into K
9.821 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
9.821 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
9.821 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
9.821 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
9.821 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
9.821 * [backup-simplify]: Simplify (- 0) into 0
9.821 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
9.821 * [backup-simplify]: Simplify (* J J) into (pow J 2)
9.822 * [backup-simplify]: Simplify (* 1 1) into 1
9.822 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
9.822 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
9.822 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
9.822 * [taylor]: Taking taylor expansion of 1 in U
9.822 * [backup-simplify]: Simplify 1 into 1
9.822 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
9.822 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
9.822 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
9.822 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
9.823 * [backup-simplify]: Simplify (+ 0) into 0
9.823 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
9.823 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
9.824 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.824 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
9.824 * [backup-simplify]: Simplify (- 0) into 0
9.825 * [backup-simplify]: Simplify (+ 0 0) into 0
9.825 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
9.825 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.826 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
9.826 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
9.827 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
9.827 * [backup-simplify]: Simplify (+ 0 0) into 0
9.827 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
9.827 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J
9.827 * [taylor]: Taking taylor expansion of 1/2 in J
9.827 * [backup-simplify]: Simplify 1/2 into 1/2
9.827 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J
9.828 * [taylor]: Taking taylor expansion of J in J
9.828 * [backup-simplify]: Simplify 0 into 0
9.828 * [backup-simplify]: Simplify 1 into 1
9.828 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
9.828 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
9.828 * [taylor]: Taking taylor expansion of 1/2 in J
9.828 * [backup-simplify]: Simplify 1/2 into 1/2
9.828 * [taylor]: Taking taylor expansion of K in J
9.828 * [backup-simplify]: Simplify K into K
9.828 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
9.828 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
9.828 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
9.828 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
9.828 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
9.828 * [backup-simplify]: Simplify (- 0) into 0
9.828 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
9.828 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K)))
9.828 * [taylor]: Taking taylor expansion of 0 in J
9.828 * [backup-simplify]: Simplify 0 into 0
9.828 * [taylor]: Taking taylor expansion of 0 in K
9.828 * [backup-simplify]: Simplify 0 into 0
9.828 * [backup-simplify]: Simplify 0 into 0
9.828 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K)))
9.828 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K
9.828 * [taylor]: Taking taylor expansion of 1/2 in K
9.828 * [backup-simplify]: Simplify 1/2 into 1/2
9.829 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
9.829 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
9.829 * [taylor]: Taking taylor expansion of 1/2 in K
9.829 * [backup-simplify]: Simplify 1/2 into 1/2
9.829 * [taylor]: Taking taylor expansion of K in K
9.829 * [backup-simplify]: Simplify 0 into 0
9.829 * [backup-simplify]: Simplify 1 into 1
9.829 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
9.829 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
9.829 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
9.829 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
9.829 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
9.830 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
9.830 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
9.830 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
9.831 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
9.833 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
9.834 * [backup-simplify]: Simplify (- 0) into 0
9.834 * [backup-simplify]: Simplify (+ 0 0) into 0
9.835 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
9.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.836 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
9.836 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
9.837 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0
9.837 * [backup-simplify]: Simplify (+ 0 1) into 1
9.838 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J)
9.838 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
9.838 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
9.838 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
9.838 * [taylor]: Taking taylor expansion of 1/2 in J
9.838 * [backup-simplify]: Simplify 1/2 into 1/2
9.838 * [taylor]: Taking taylor expansion of K in J
9.838 * [backup-simplify]: Simplify K into K
9.838 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
9.838 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
9.838 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
9.838 * [taylor]: Taking taylor expansion of J in J
9.838 * [backup-simplify]: Simplify 0 into 0
9.838 * [backup-simplify]: Simplify 1 into 1
9.838 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
9.838 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
9.838 * [backup-simplify]: Simplify (- 0) into 0
9.838 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
9.838 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
9.839 * [backup-simplify]: Simplify (+ 0) into 0
9.839 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
9.839 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
9.839 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.840 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
9.840 * [backup-simplify]: Simplify (- 0) into 0
9.840 * [backup-simplify]: Simplify (+ 0 0) into 0
9.841 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0
9.841 * [taylor]: Taking taylor expansion of 0 in K
9.841 * [backup-simplify]: Simplify 0 into 0
9.841 * [backup-simplify]: Simplify 0 into 0
9.841 * [taylor]: Taking taylor expansion of 0 in K
9.841 * [backup-simplify]: Simplify 0 into 0
9.841 * [backup-simplify]: Simplify 0 into 0
9.841 * [backup-simplify]: Simplify (+ 0) into 0
9.841 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
9.842 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
9.842 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.842 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
9.843 * [backup-simplify]: Simplify (- 0) into 0
9.843 * [backup-simplify]: Simplify (+ 0 0) into 0
9.843 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
9.843 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0
9.843 * [taylor]: Taking taylor expansion of 0 in K
9.843 * [backup-simplify]: Simplify 0 into 0
9.843 * [backup-simplify]: Simplify 0 into 0
9.843 * [backup-simplify]: Simplify 0 into 0
9.843 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
9.843 * [backup-simplify]: Simplify 0 into 0
9.844 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
9.845 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
9.845 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.845 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
9.846 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
9.847 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
9.847 * [backup-simplify]: Simplify (- 0) into 0
9.847 * [backup-simplify]: Simplify (+ 0 0) into 0
9.848 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
9.848 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.849 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0
9.849 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
9.850 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
9.850 * [backup-simplify]: Simplify (+ 0 0) into 0
9.850 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0
9.850 * [taylor]: Taking taylor expansion of 0 in J
9.850 * [backup-simplify]: Simplify 0 into 0
9.851 * [taylor]: Taking taylor expansion of 0 in K
9.851 * [backup-simplify]: Simplify 0 into 0
9.851 * [backup-simplify]: Simplify 0 into 0
9.851 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
9.851 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))
9.851 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U J K) around 0
9.851 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K
9.851 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K
9.851 * [taylor]: Taking taylor expansion of 1 in K
9.851 * [backup-simplify]: Simplify 1 into 1
9.851 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
9.851 * [taylor]: Taking taylor expansion of 1/4 in K
9.851 * [backup-simplify]: Simplify 1/4 into 1/4
9.851 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
9.851 * [taylor]: Taking taylor expansion of (pow J 2) in K
9.851 * [taylor]: Taking taylor expansion of J in K
9.851 * [backup-simplify]: Simplify J into J
9.851 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
9.851 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
9.851 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
9.851 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
9.851 * [taylor]: Taking taylor expansion of -1/2 in K
9.851 * [backup-simplify]: Simplify -1/2 into -1/2
9.851 * [taylor]: Taking taylor expansion of K in K
9.851 * [backup-simplify]: Simplify 0 into 0
9.851 * [backup-simplify]: Simplify 1 into 1
9.852 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
9.852 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
9.852 * [taylor]: Taking taylor expansion of (pow U 2) in K
9.852 * [taylor]: Taking taylor expansion of U in K
9.852 * [backup-simplify]: Simplify U into U
9.852 * [backup-simplify]: Simplify (* J J) into (pow J 2)
9.852 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
9.852 * [backup-simplify]: Simplify (* U U) into (pow U 2)
9.852 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
9.852 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
9.852 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
9.853 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))
9.853 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))
9.853 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
9.853 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
9.853 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
9.853 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
9.853 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0
9.854 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
9.854 * [backup-simplify]: Simplify (+ 0 0) into 0
9.854 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0
9.854 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
9.854 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
9.854 * [taylor]: Taking taylor expansion of 1 in J
9.854 * [backup-simplify]: Simplify 1 into 1
9.854 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
9.854 * [taylor]: Taking taylor expansion of 1/4 in J
9.854 * [backup-simplify]: Simplify 1/4 into 1/4
9.854 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
9.854 * [taylor]: Taking taylor expansion of (pow J 2) in J
9.854 * [taylor]: Taking taylor expansion of J in J
9.855 * [backup-simplify]: Simplify 0 into 0
9.855 * [backup-simplify]: Simplify 1 into 1
9.855 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
9.855 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
9.855 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
9.855 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
9.855 * [taylor]: Taking taylor expansion of -1/2 in J
9.855 * [backup-simplify]: Simplify -1/2 into -1/2
9.855 * [taylor]: Taking taylor expansion of K in J
9.855 * [backup-simplify]: Simplify K into K
9.855 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
9.855 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
9.855 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
9.855 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
9.855 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
9.855 * [backup-simplify]: Simplify (- 0) into 0
9.855 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
9.855 * [taylor]: Taking taylor expansion of (pow U 2) in J
9.855 * [taylor]: Taking taylor expansion of U in J
9.855 * [backup-simplify]: Simplify U into U
9.856 * [backup-simplify]: Simplify (* 1 1) into 1
9.856 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
9.856 * [backup-simplify]: Simplify (* U U) into (pow U 2)
9.856 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
9.856 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
9.856 * [backup-simplify]: Simplify (+ 1 0) into 1
9.857 * [backup-simplify]: Simplify (sqrt 1) into 1
9.857 * [backup-simplify]: Simplify (+ 0 0) into 0
9.857 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.857 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
9.857 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
9.857 * [taylor]: Taking taylor expansion of 1 in U
9.857 * [backup-simplify]: Simplify 1 into 1
9.857 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
9.857 * [taylor]: Taking taylor expansion of 1/4 in U
9.857 * [backup-simplify]: Simplify 1/4 into 1/4
9.857 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
9.857 * [taylor]: Taking taylor expansion of (pow J 2) in U
9.857 * [taylor]: Taking taylor expansion of J in U
9.857 * [backup-simplify]: Simplify J into J
9.857 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
9.857 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
9.857 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
9.857 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
9.857 * [taylor]: Taking taylor expansion of -1/2 in U
9.857 * [backup-simplify]: Simplify -1/2 into -1/2
9.857 * [taylor]: Taking taylor expansion of K in U
9.857 * [backup-simplify]: Simplify K into K
9.858 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
9.858 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
9.858 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
9.858 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
9.858 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
9.858 * [backup-simplify]: Simplify (- 0) into 0
9.858 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
9.858 * [taylor]: Taking taylor expansion of (pow U 2) in U
9.858 * [taylor]: Taking taylor expansion of U in U
9.858 * [backup-simplify]: Simplify 0 into 0
9.858 * [backup-simplify]: Simplify 1 into 1
9.858 * [backup-simplify]: Simplify (* J J) into (pow J 2)
9.858 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
9.858 * [backup-simplify]: Simplify (* 1 1) into 1
9.859 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
9.859 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
9.859 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
9.859 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
9.859 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
9.859 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
9.860 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.860 * [backup-simplify]: Simplify (+ 0) into 0
9.860 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
9.860 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
9.861 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.861 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
9.861 * [backup-simplify]: Simplify (- 0) into 0
9.861 * [backup-simplify]: Simplify (+ 0 0) into 0
9.861 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
9.862 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
9.862 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
9.862 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
9.863 * [backup-simplify]: Simplify (+ 0 0) into 0
9.863 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
9.863 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
9.863 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
9.863 * [taylor]: Taking taylor expansion of 1 in U
9.863 * [backup-simplify]: Simplify 1 into 1
9.863 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
9.863 * [taylor]: Taking taylor expansion of 1/4 in U
9.863 * [backup-simplify]: Simplify 1/4 into 1/4
9.863 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
9.863 * [taylor]: Taking taylor expansion of (pow J 2) in U
9.863 * [taylor]: Taking taylor expansion of J in U
9.863 * [backup-simplify]: Simplify J into J
9.863 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
9.863 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
9.863 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
9.863 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
9.863 * [taylor]: Taking taylor expansion of -1/2 in U
9.863 * [backup-simplify]: Simplify -1/2 into -1/2
9.863 * [taylor]: Taking taylor expansion of K in U
9.863 * [backup-simplify]: Simplify K into K
9.863 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
9.863 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
9.863 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
9.863 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
9.863 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
9.864 * [backup-simplify]: Simplify (- 0) into 0
9.864 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
9.864 * [taylor]: Taking taylor expansion of (pow U 2) in U
9.864 * [taylor]: Taking taylor expansion of U in U
9.864 * [backup-simplify]: Simplify 0 into 0
9.864 * [backup-simplify]: Simplify 1 into 1
9.864 * [backup-simplify]: Simplify (* J J) into (pow J 2)
9.864 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
9.864 * [backup-simplify]: Simplify (* 1 1) into 1
9.864 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
9.864 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
9.864 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
9.865 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
9.865 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
9.865 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
9.865 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.865 * [backup-simplify]: Simplify (+ 0) into 0
9.866 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
9.866 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
9.866 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.866 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
9.867 * [backup-simplify]: Simplify (- 0) into 0
9.867 * [backup-simplify]: Simplify (+ 0 0) into 0
9.867 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
9.867 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
9.868 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
9.868 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
9.868 * [backup-simplify]: Simplify (+ 0 0) into 0
9.868 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
9.869 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J
9.869 * [taylor]: Taking taylor expansion of 1/2 in J
9.869 * [backup-simplify]: Simplify 1/2 into 1/2
9.869 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J
9.869 * [taylor]: Taking taylor expansion of J in J
9.869 * [backup-simplify]: Simplify 0 into 0
9.869 * [backup-simplify]: Simplify 1 into 1
9.869 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
9.869 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
9.869 * [taylor]: Taking taylor expansion of -1/2 in J
9.869 * [backup-simplify]: Simplify -1/2 into -1/2
9.869 * [taylor]: Taking taylor expansion of K in J
9.869 * [backup-simplify]: Simplify K into K
9.869 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
9.869 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
9.869 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
9.869 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
9.869 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
9.869 * [backup-simplify]: Simplify (- 0) into 0
9.869 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
9.869 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K)))
9.869 * [taylor]: Taking taylor expansion of 0 in J
9.869 * [backup-simplify]: Simplify 0 into 0
9.869 * [taylor]: Taking taylor expansion of 0 in K
9.869 * [backup-simplify]: Simplify 0 into 0
9.869 * [backup-simplify]: Simplify 0 into 0
9.869 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K)))
9.869 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K
9.870 * [taylor]: Taking taylor expansion of 1/2 in K
9.870 * [backup-simplify]: Simplify 1/2 into 1/2
9.870 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
9.870 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
9.870 * [taylor]: Taking taylor expansion of -1/2 in K
9.870 * [backup-simplify]: Simplify -1/2 into -1/2
9.870 * [taylor]: Taking taylor expansion of K in K
9.870 * [backup-simplify]: Simplify 0 into 0
9.870 * [backup-simplify]: Simplify 1 into 1
9.870 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
9.870 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
9.870 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
9.870 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
9.870 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
9.871 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.871 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
9.872 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
9.872 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
9.872 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
9.873 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
9.873 * [backup-simplify]: Simplify (- 0) into 0
9.873 * [backup-simplify]: Simplify (+ 0 0) into 0
9.874 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
9.874 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
9.874 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
9.875 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0
9.875 * [backup-simplify]: Simplify (+ 1 0) into 1
9.876 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J)
9.876 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
9.876 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
9.876 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
9.876 * [taylor]: Taking taylor expansion of -1/2 in J
9.876 * [backup-simplify]: Simplify -1/2 into -1/2
9.876 * [taylor]: Taking taylor expansion of K in J
9.876 * [backup-simplify]: Simplify K into K
9.876 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
9.876 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
9.876 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
9.876 * [taylor]: Taking taylor expansion of J in J
9.876 * [backup-simplify]: Simplify 0 into 0
9.876 * [backup-simplify]: Simplify 1 into 1
9.876 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
9.876 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
9.877 * [backup-simplify]: Simplify (- 0) into 0
9.877 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
9.877 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
9.877 * [backup-simplify]: Simplify (+ 0) into 0
9.877 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
9.877 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
9.878 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.878 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
9.879 * [backup-simplify]: Simplify (- 0) into 0
9.879 * [backup-simplify]: Simplify (+ 0 0) into 0
9.880 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0
9.880 * [taylor]: Taking taylor expansion of 0 in K
9.880 * [backup-simplify]: Simplify 0 into 0
9.880 * [backup-simplify]: Simplify 0 into 0
9.880 * [taylor]: Taking taylor expansion of 0 in K
9.880 * [backup-simplify]: Simplify 0 into 0
9.880 * [backup-simplify]: Simplify 0 into 0
9.880 * [backup-simplify]: Simplify (+ 0) into 0
9.880 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
9.880 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
9.881 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.881 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
9.881 * [backup-simplify]: Simplify (- 0) into 0
9.882 * [backup-simplify]: Simplify (+ 0 0) into 0
9.882 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
9.882 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0
9.882 * [taylor]: Taking taylor expansion of 0 in K
9.882 * [backup-simplify]: Simplify 0 into 0
9.882 * [backup-simplify]: Simplify 0 into 0
9.882 * [backup-simplify]: Simplify 0 into 0
9.882 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
9.882 * [backup-simplify]: Simplify 0 into 0
9.883 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
9.883 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.884 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
9.885 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.885 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
9.886 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
9.886 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
9.886 * [backup-simplify]: Simplify (- 0) into 0
9.886 * [backup-simplify]: Simplify (+ 0 0) into 0
9.887 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
9.888 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.888 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
9.889 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
9.889 * [backup-simplify]: Simplify (+ 0 0) into 0
9.889 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
9.889 * [taylor]: Taking taylor expansion of 0 in J
9.889 * [backup-simplify]: Simplify 0 into 0
9.889 * [taylor]: Taking taylor expansion of 0 in K
9.889 * [backup-simplify]: Simplify 0 into 0
9.889 * [backup-simplify]: Simplify 0 into 0
9.889 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
9.889 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1)
9.890 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))
9.890 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U J K) around 0
9.890 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K
9.890 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K
9.890 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
9.890 * [taylor]: Taking taylor expansion of 1/4 in K
9.890 * [backup-simplify]: Simplify 1/4 into 1/4
9.890 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
9.890 * [taylor]: Taking taylor expansion of (pow U 2) in K
9.890 * [taylor]: Taking taylor expansion of U in K
9.890 * [backup-simplify]: Simplify U into U
9.890 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
9.890 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
9.890 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
9.890 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
9.890 * [taylor]: Taking taylor expansion of 1/2 in K
9.890 * [backup-simplify]: Simplify 1/2 into 1/2
9.890 * [taylor]: Taking taylor expansion of K in K
9.890 * [backup-simplify]: Simplify 0 into 0
9.890 * [backup-simplify]: Simplify 1 into 1
9.890 * [backup-simplify]: Simplify (* 1/2 0) into 0
9.891 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
9.891 * [taylor]: Taking taylor expansion of (pow J 2) in K
9.891 * [taylor]: Taking taylor expansion of J in K
9.891 * [backup-simplify]: Simplify J into J
9.891 * [backup-simplify]: Simplify (* U U) into (pow U 2)
9.891 * [backup-simplify]: Simplify (* 1 1) into 1
9.891 * [backup-simplify]: Simplify (* J J) into (pow J 2)
9.891 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
9.891 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
9.891 * [taylor]: Taking taylor expansion of 1 in K
9.891 * [backup-simplify]: Simplify 1 into 1
9.891 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2)))
9.892 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
9.892 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
9.892 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
9.892 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
9.892 * [backup-simplify]: Simplify (+ 0) into 0
9.893 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.893 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
9.893 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
9.893 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0
9.894 * [backup-simplify]: Simplify (+ 0 0) into 0
9.894 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
9.894 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J
9.894 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J
9.894 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
9.894 * [taylor]: Taking taylor expansion of 1/4 in J
9.894 * [backup-simplify]: Simplify 1/4 into 1/4
9.894 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
9.894 * [taylor]: Taking taylor expansion of (pow U 2) in J
9.894 * [taylor]: Taking taylor expansion of U in J
9.894 * [backup-simplify]: Simplify U into U
9.894 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
9.894 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
9.894 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
9.894 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
9.894 * [taylor]: Taking taylor expansion of 1/2 in J
9.894 * [backup-simplify]: Simplify 1/2 into 1/2
9.894 * [taylor]: Taking taylor expansion of K in J
9.894 * [backup-simplify]: Simplify K into K
9.894 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
9.894 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
9.894 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
9.894 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
9.894 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
9.895 * [backup-simplify]: Simplify (- 0) into 0
9.895 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
9.895 * [taylor]: Taking taylor expansion of (pow J 2) in J
9.895 * [taylor]: Taking taylor expansion of J in J
9.895 * [backup-simplify]: Simplify 0 into 0
9.895 * [backup-simplify]: Simplify 1 into 1
9.895 * [backup-simplify]: Simplify (* U U) into (pow U 2)
9.895 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
9.895 * [backup-simplify]: Simplify (* 1 1) into 1
9.895 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
9.895 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
9.895 * [taylor]: Taking taylor expansion of 1 in J
9.895 * [backup-simplify]: Simplify 1 into 1
9.895 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
9.896 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
9.896 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
9.896 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
9.896 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.896 * [backup-simplify]: Simplify (+ 0) into 0
9.897 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
9.897 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
9.898 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.898 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
9.898 * [backup-simplify]: Simplify (- 0) into 0
9.898 * [backup-simplify]: Simplify (+ 0 0) into 0
9.898 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
9.899 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
9.899 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
9.899 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0
9.900 * [backup-simplify]: Simplify (+ 0 0) into 0
9.900 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
9.900 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
9.900 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
9.900 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
9.900 * [taylor]: Taking taylor expansion of 1/4 in U
9.900 * [backup-simplify]: Simplify 1/4 into 1/4
9.900 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
9.900 * [taylor]: Taking taylor expansion of (pow U 2) in U
9.900 * [taylor]: Taking taylor expansion of U in U
9.900 * [backup-simplify]: Simplify 0 into 0
9.900 * [backup-simplify]: Simplify 1 into 1
9.900 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
9.900 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
9.900 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
9.900 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
9.900 * [taylor]: Taking taylor expansion of 1/2 in U
9.900 * [backup-simplify]: Simplify 1/2 into 1/2
9.900 * [taylor]: Taking taylor expansion of K in U
9.900 * [backup-simplify]: Simplify K into K
9.900 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
9.900 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
9.900 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
9.900 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
9.900 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
9.901 * [backup-simplify]: Simplify (- 0) into 0
9.901 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
9.901 * [taylor]: Taking taylor expansion of (pow J 2) in U
9.901 * [taylor]: Taking taylor expansion of J in U
9.901 * [backup-simplify]: Simplify J into J
9.901 * [backup-simplify]: Simplify (* 1 1) into 1
9.901 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
9.901 * [backup-simplify]: Simplify (* J J) into (pow J 2)
9.901 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
9.901 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
9.901 * [taylor]: Taking taylor expansion of 1 in U
9.901 * [backup-simplify]: Simplify 1 into 1
9.902 * [backup-simplify]: Simplify (+ 0 1) into 1
9.902 * [backup-simplify]: Simplify (sqrt 1) into 1
9.902 * [backup-simplify]: Simplify (+ 0 0) into 0
9.903 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.903 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
9.903 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
9.903 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
9.903 * [taylor]: Taking taylor expansion of 1/4 in U
9.903 * [backup-simplify]: Simplify 1/4 into 1/4
9.903 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
9.903 * [taylor]: Taking taylor expansion of (pow U 2) in U
9.903 * [taylor]: Taking taylor expansion of U in U
9.903 * [backup-simplify]: Simplify 0 into 0
9.903 * [backup-simplify]: Simplify 1 into 1
9.903 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
9.903 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
9.903 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
9.903 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
9.903 * [taylor]: Taking taylor expansion of 1/2 in U
9.903 * [backup-simplify]: Simplify 1/2 into 1/2
9.903 * [taylor]: Taking taylor expansion of K in U
9.903 * [backup-simplify]: Simplify K into K
9.903 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
9.903 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
9.903 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
9.903 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
9.903 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
9.903 * [backup-simplify]: Simplify (- 0) into 0
9.903 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
9.903 * [taylor]: Taking taylor expansion of (pow J 2) in U
9.903 * [taylor]: Taking taylor expansion of J in U
9.903 * [backup-simplify]: Simplify J into J
9.904 * [backup-simplify]: Simplify (* 1 1) into 1
9.904 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
9.904 * [backup-simplify]: Simplify (* J J) into (pow J 2)
9.904 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
9.904 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
9.904 * [taylor]: Taking taylor expansion of 1 in U
9.904 * [backup-simplify]: Simplify 1 into 1
9.904 * [backup-simplify]: Simplify (+ 0 1) into 1
9.905 * [backup-simplify]: Simplify (sqrt 1) into 1
9.905 * [backup-simplify]: Simplify (+ 0 0) into 0
9.905 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.905 * [taylor]: Taking taylor expansion of 1 in J
9.905 * [backup-simplify]: Simplify 1 into 1
9.906 * [taylor]: Taking taylor expansion of 0 in J
9.906 * [backup-simplify]: Simplify 0 into 0
9.906 * [taylor]: Taking taylor expansion of 1 in K
9.906 * [backup-simplify]: Simplify 1 into 1
9.906 * [backup-simplify]: Simplify 1 into 1
9.906 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
9.906 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
9.907 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
9.907 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
9.907 * [taylor]: Taking taylor expansion of 1/8 in J
9.907 * [backup-simplify]: Simplify 1/8 into 1/8
9.907 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
9.907 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
9.907 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
9.907 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
9.907 * [taylor]: Taking taylor expansion of 1/2 in J
9.907 * [backup-simplify]: Simplify 1/2 into 1/2
9.907 * [taylor]: Taking taylor expansion of K in J
9.907 * [backup-simplify]: Simplify K into K
9.907 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
9.907 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
9.907 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
9.907 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
9.907 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
9.907 * [backup-simplify]: Simplify (- 0) into 0
9.907 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
9.907 * [taylor]: Taking taylor expansion of (pow J 2) in J
9.907 * [taylor]: Taking taylor expansion of J in J
9.907 * [backup-simplify]: Simplify 0 into 0
9.908 * [backup-simplify]: Simplify 1 into 1
9.908 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
9.908 * [backup-simplify]: Simplify (* 1 1) into 1
9.908 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
9.908 * [backup-simplify]: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2))
9.908 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.909 * [backup-simplify]: Simplify (+ 0) into 0
9.909 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
9.909 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
9.910 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.910 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
9.910 * [backup-simplify]: Simplify (- 0) into 0
9.910 * [backup-simplify]: Simplify (+ 0 0) into 0
9.911 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
9.911 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
9.911 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
9.911 * [taylor]: Taking taylor expansion of 0 in K
9.911 * [backup-simplify]: Simplify 0 into 0
9.911 * [backup-simplify]: Simplify 0 into 0
9.911 * [taylor]: Taking taylor expansion of 0 in K
9.911 * [backup-simplify]: Simplify 0 into 0
9.911 * [backup-simplify]: Simplify 0 into 0
9.911 * [taylor]: Taking taylor expansion of 0 in K
9.911 * [backup-simplify]: Simplify 0 into 0
9.911 * [backup-simplify]: Simplify 0 into 0
9.911 * [backup-simplify]: Simplify 0 into 0
9.912 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.912 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
9.912 * [backup-simplify]: Simplify (+ 0) into 0
9.912 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
9.913 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
9.913 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.913 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
9.914 * [backup-simplify]: Simplify (- 0) into 0
9.914 * [backup-simplify]: Simplify (+ 0 0) into 0
9.914 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
9.914 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0
9.914 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
9.915 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0
9.915 * [backup-simplify]: Simplify (+ 0 0) into 0
9.915 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0
9.915 * [taylor]: Taking taylor expansion of 0 in J
9.915 * [backup-simplify]: Simplify 0 into 0
9.916 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.917 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
9.917 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
9.917 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
9.918 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
9.918 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
9.919 * [backup-simplify]: Simplify (- 0) into 0
9.919 * [backup-simplify]: Simplify (+ 0 0) into 0
9.919 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0
9.920 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
9.920 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
9.920 * [taylor]: Taking taylor expansion of 0 in K
9.920 * [backup-simplify]: Simplify 0 into 0
9.920 * [backup-simplify]: Simplify 0 into 0
9.920 * [taylor]: Taking taylor expansion of 0 in K
9.920 * [backup-simplify]: Simplify 0 into 0
9.920 * [backup-simplify]: Simplify 0 into 0
9.920 * [backup-simplify]: Simplify 1 into 1
9.920 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
9.920 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U J K) around 0
9.920 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K
9.920 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K
9.920 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
9.920 * [taylor]: Taking taylor expansion of 1/4 in K
9.920 * [backup-simplify]: Simplify 1/4 into 1/4
9.920 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
9.920 * [taylor]: Taking taylor expansion of (pow J 2) in K
9.920 * [taylor]: Taking taylor expansion of J in K
9.920 * [backup-simplify]: Simplify J into J
9.920 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
9.921 * [taylor]: Taking taylor expansion of (pow U 2) in K
9.921 * [taylor]: Taking taylor expansion of U in K
9.921 * [backup-simplify]: Simplify U into U
9.921 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
9.921 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
9.921 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
9.921 * [taylor]: Taking taylor expansion of 1/2 in K
9.921 * [backup-simplify]: Simplify 1/2 into 1/2
9.921 * [taylor]: Taking taylor expansion of K in K
9.921 * [backup-simplify]: Simplify 0 into 0
9.921 * [backup-simplify]: Simplify 1 into 1
9.921 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
9.921 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
9.921 * [backup-simplify]: Simplify (* J J) into (pow J 2)
9.921 * [backup-simplify]: Simplify (* U U) into (pow U 2)
9.921 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
9.921 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
9.921 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
9.921 * [taylor]: Taking taylor expansion of 1 in K
9.921 * [backup-simplify]: Simplify 1 into 1
9.922 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))
9.922 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)
9.922 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
9.922 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
9.922 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
9.922 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
9.922 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
9.923 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
9.923 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
9.923 * [backup-simplify]: Simplify (+ 0 0) into 0
9.924 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
9.924 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
9.924 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
9.924 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
9.924 * [taylor]: Taking taylor expansion of 1/4 in J
9.924 * [backup-simplify]: Simplify 1/4 into 1/4
9.924 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
9.924 * [taylor]: Taking taylor expansion of (pow J 2) in J
9.924 * [taylor]: Taking taylor expansion of J in J
9.924 * [backup-simplify]: Simplify 0 into 0
9.924 * [backup-simplify]: Simplify 1 into 1
9.924 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
9.924 * [taylor]: Taking taylor expansion of (pow U 2) in J
9.924 * [taylor]: Taking taylor expansion of U in J
9.924 * [backup-simplify]: Simplify U into U
9.924 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
9.924 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
9.924 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
9.924 * [taylor]: Taking taylor expansion of 1/2 in J
9.924 * [backup-simplify]: Simplify 1/2 into 1/2
9.924 * [taylor]: Taking taylor expansion of K in J
9.924 * [backup-simplify]: Simplify K into K
9.924 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
9.924 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
9.924 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
9.924 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
9.924 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
9.928 * [backup-simplify]: Simplify (- 0) into 0
9.928 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
9.928 * [backup-simplify]: Simplify (* 1 1) into 1
9.928 * [backup-simplify]: Simplify (* U U) into (pow U 2)
9.928 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
9.928 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
9.928 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
9.928 * [taylor]: Taking taylor expansion of 1 in J
9.928 * [backup-simplify]: Simplify 1 into 1
9.929 * [backup-simplify]: Simplify (+ 0 1) into 1
9.929 * [backup-simplify]: Simplify (sqrt 1) into 1
9.929 * [backup-simplify]: Simplify (+ 0 0) into 0
9.930 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.930 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
9.930 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
9.930 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
9.930 * [taylor]: Taking taylor expansion of 1/4 in U
9.930 * [backup-simplify]: Simplify 1/4 into 1/4
9.930 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
9.930 * [taylor]: Taking taylor expansion of (pow J 2) in U
9.930 * [taylor]: Taking taylor expansion of J in U
9.930 * [backup-simplify]: Simplify J into J
9.930 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
9.930 * [taylor]: Taking taylor expansion of (pow U 2) in U
9.930 * [taylor]: Taking taylor expansion of U in U
9.930 * [backup-simplify]: Simplify 0 into 0
9.930 * [backup-simplify]: Simplify 1 into 1
9.930 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
9.930 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
9.930 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
9.930 * [taylor]: Taking taylor expansion of 1/2 in U
9.930 * [backup-simplify]: Simplify 1/2 into 1/2
9.930 * [taylor]: Taking taylor expansion of K in U
9.930 * [backup-simplify]: Simplify K into K
9.930 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
9.930 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
9.930 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
9.930 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
9.930 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
9.931 * [backup-simplify]: Simplify (- 0) into 0
9.931 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
9.931 * [backup-simplify]: Simplify (* J J) into (pow J 2)
9.931 * [backup-simplify]: Simplify (* 1 1) into 1
9.931 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
9.931 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
9.931 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
9.931 * [taylor]: Taking taylor expansion of 1 in U
9.931 * [backup-simplify]: Simplify 1 into 1
9.931 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
9.931 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
9.932 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
9.932 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
9.932 * [backup-simplify]: Simplify (+ 0) into 0
9.932 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
9.932 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
9.933 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.933 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
9.933 * [backup-simplify]: Simplify (- 0) into 0
9.934 * [backup-simplify]: Simplify (+ 0 0) into 0
9.934 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
9.934 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.935 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
9.935 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
9.935 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
9.935 * [backup-simplify]: Simplify (+ 0 0) into 0
9.936 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
9.936 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
9.936 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
9.936 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
9.936 * [taylor]: Taking taylor expansion of 1/4 in U
9.936 * [backup-simplify]: Simplify 1/4 into 1/4
9.936 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
9.936 * [taylor]: Taking taylor expansion of (pow J 2) in U
9.936 * [taylor]: Taking taylor expansion of J in U
9.936 * [backup-simplify]: Simplify J into J
9.936 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
9.936 * [taylor]: Taking taylor expansion of (pow U 2) in U
9.936 * [taylor]: Taking taylor expansion of U in U
9.936 * [backup-simplify]: Simplify 0 into 0
9.936 * [backup-simplify]: Simplify 1 into 1
9.936 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
9.936 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
9.936 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
9.936 * [taylor]: Taking taylor expansion of 1/2 in U
9.936 * [backup-simplify]: Simplify 1/2 into 1/2
9.936 * [taylor]: Taking taylor expansion of K in U
9.936 * [backup-simplify]: Simplify K into K
9.936 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
9.936 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
9.936 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
9.936 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
9.937 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
9.937 * [backup-simplify]: Simplify (- 0) into 0
9.937 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
9.937 * [backup-simplify]: Simplify (* J J) into (pow J 2)
9.937 * [backup-simplify]: Simplify (* 1 1) into 1
9.938 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
9.938 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
9.938 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
9.938 * [taylor]: Taking taylor expansion of 1 in U
9.938 * [backup-simplify]: Simplify 1 into 1
9.938 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
9.938 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
9.939 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
9.939 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
9.939 * [backup-simplify]: Simplify (+ 0) into 0
9.940 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
9.940 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
9.941 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.941 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
9.942 * [backup-simplify]: Simplify (- 0) into 0
9.942 * [backup-simplify]: Simplify (+ 0 0) into 0
9.942 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
9.943 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.943 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
9.944 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
9.944 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
9.945 * [backup-simplify]: Simplify (+ 0 0) into 0
9.945 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
9.945 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J
9.945 * [taylor]: Taking taylor expansion of 1/2 in J
9.945 * [backup-simplify]: Simplify 1/2 into 1/2
9.945 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J
9.945 * [taylor]: Taking taylor expansion of J in J
9.945 * [backup-simplify]: Simplify 0 into 0
9.945 * [backup-simplify]: Simplify 1 into 1
9.945 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
9.946 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
9.946 * [taylor]: Taking taylor expansion of 1/2 in J
9.946 * [backup-simplify]: Simplify 1/2 into 1/2
9.946 * [taylor]: Taking taylor expansion of K in J
9.946 * [backup-simplify]: Simplify K into K
9.946 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
9.946 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
9.946 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
9.946 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
9.946 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
9.946 * [backup-simplify]: Simplify (- 0) into 0
9.946 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
9.947 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K)))
9.947 * [taylor]: Taking taylor expansion of 0 in J
9.947 * [backup-simplify]: Simplify 0 into 0
9.947 * [taylor]: Taking taylor expansion of 0 in K
9.947 * [backup-simplify]: Simplify 0 into 0
9.947 * [backup-simplify]: Simplify 0 into 0
9.947 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K)))
9.947 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K
9.947 * [taylor]: Taking taylor expansion of 1/2 in K
9.947 * [backup-simplify]: Simplify 1/2 into 1/2
9.947 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
9.947 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
9.947 * [taylor]: Taking taylor expansion of 1/2 in K
9.947 * [backup-simplify]: Simplify 1/2 into 1/2
9.947 * [taylor]: Taking taylor expansion of K in K
9.947 * [backup-simplify]: Simplify 0 into 0
9.947 * [backup-simplify]: Simplify 1 into 1
9.948 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
9.948 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
9.948 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
9.948 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
9.948 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
9.949 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
9.950 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
9.950 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
9.951 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
9.951 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
9.952 * [backup-simplify]: Simplify (- 0) into 0
9.952 * [backup-simplify]: Simplify (+ 0 0) into 0
9.953 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
9.954 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.954 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
9.955 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
9.957 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0
9.957 * [backup-simplify]: Simplify (+ 0 1) into 1
9.959 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J)
9.959 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
9.959 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
9.959 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
9.959 * [taylor]: Taking taylor expansion of 1/2 in J
9.959 * [backup-simplify]: Simplify 1/2 into 1/2
9.959 * [taylor]: Taking taylor expansion of K in J
9.959 * [backup-simplify]: Simplify K into K
9.959 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
9.959 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
9.959 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
9.959 * [taylor]: Taking taylor expansion of J in J
9.959 * [backup-simplify]: Simplify 0 into 0
9.959 * [backup-simplify]: Simplify 1 into 1
9.959 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
9.959 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
9.960 * [backup-simplify]: Simplify (- 0) into 0
9.960 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
9.960 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
9.960 * [backup-simplify]: Simplify (+ 0) into 0
9.961 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
9.961 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
9.962 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.962 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
9.963 * [backup-simplify]: Simplify (- 0) into 0
9.963 * [backup-simplify]: Simplify (+ 0 0) into 0
9.964 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0
9.964 * [taylor]: Taking taylor expansion of 0 in K
9.964 * [backup-simplify]: Simplify 0 into 0
9.964 * [backup-simplify]: Simplify 0 into 0
9.964 * [taylor]: Taking taylor expansion of 0 in K
9.964 * [backup-simplify]: Simplify 0 into 0
9.964 * [backup-simplify]: Simplify 0 into 0
9.964 * [backup-simplify]: Simplify (+ 0) into 0
9.965 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
9.965 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
9.966 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.966 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
9.967 * [backup-simplify]: Simplify (- 0) into 0
9.967 * [backup-simplify]: Simplify (+ 0 0) into 0
9.967 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
9.968 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0
9.968 * [taylor]: Taking taylor expansion of 0 in K
9.968 * [backup-simplify]: Simplify 0 into 0
9.968 * [backup-simplify]: Simplify 0 into 0
9.968 * [backup-simplify]: Simplify 0 into 0
9.968 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
9.968 * [backup-simplify]: Simplify 0 into 0
9.969 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
9.970 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
9.971 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.971 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
9.972 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
9.973 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
9.973 * [backup-simplify]: Simplify (- 0) into 0
9.974 * [backup-simplify]: Simplify (+ 0 0) into 0
9.975 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
9.976 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.976 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0
9.977 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
9.978 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
9.978 * [backup-simplify]: Simplify (+ 0 0) into 0
9.978 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0
9.978 * [taylor]: Taking taylor expansion of 0 in J
9.978 * [backup-simplify]: Simplify 0 into 0
9.978 * [taylor]: Taking taylor expansion of 0 in K
9.978 * [backup-simplify]: Simplify 0 into 0
9.978 * [backup-simplify]: Simplify 0 into 0
9.978 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
9.979 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))
9.979 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U J K) around 0
9.979 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K
9.979 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K
9.979 * [taylor]: Taking taylor expansion of 1 in K
9.979 * [backup-simplify]: Simplify 1 into 1
9.979 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
9.979 * [taylor]: Taking taylor expansion of 1/4 in K
9.979 * [backup-simplify]: Simplify 1/4 into 1/4
9.979 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
9.979 * [taylor]: Taking taylor expansion of (pow J 2) in K
9.979 * [taylor]: Taking taylor expansion of J in K
9.979 * [backup-simplify]: Simplify J into J
9.979 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
9.979 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
9.979 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
9.979 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
9.979 * [taylor]: Taking taylor expansion of -1/2 in K
9.979 * [backup-simplify]: Simplify -1/2 into -1/2
9.979 * [taylor]: Taking taylor expansion of K in K
9.979 * [backup-simplify]: Simplify 0 into 0
9.979 * [backup-simplify]: Simplify 1 into 1
9.979 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
9.979 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
9.979 * [taylor]: Taking taylor expansion of (pow U 2) in K
9.979 * [taylor]: Taking taylor expansion of U in K
9.979 * [backup-simplify]: Simplify U into U
9.979 * [backup-simplify]: Simplify (* J J) into (pow J 2)
9.979 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
9.980 * [backup-simplify]: Simplify (* U U) into (pow U 2)
9.980 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
9.980 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
9.980 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
9.980 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))
9.980 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))
9.980 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
9.980 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
9.981 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
9.981 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
9.981 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0
9.981 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
9.982 * [backup-simplify]: Simplify (+ 0 0) into 0
9.982 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0
9.982 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
9.982 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
9.982 * [taylor]: Taking taylor expansion of 1 in J
9.982 * [backup-simplify]: Simplify 1 into 1
9.982 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
9.982 * [taylor]: Taking taylor expansion of 1/4 in J
9.982 * [backup-simplify]: Simplify 1/4 into 1/4
9.982 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
9.982 * [taylor]: Taking taylor expansion of (pow J 2) in J
9.982 * [taylor]: Taking taylor expansion of J in J
9.982 * [backup-simplify]: Simplify 0 into 0
9.982 * [backup-simplify]: Simplify 1 into 1
9.982 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
9.982 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
9.982 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
9.982 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
9.982 * [taylor]: Taking taylor expansion of -1/2 in J
9.982 * [backup-simplify]: Simplify -1/2 into -1/2
9.982 * [taylor]: Taking taylor expansion of K in J
9.982 * [backup-simplify]: Simplify K into K
9.982 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
9.982 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
9.982 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
9.982 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
9.982 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
9.983 * [backup-simplify]: Simplify (- 0) into 0
9.983 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
9.983 * [taylor]: Taking taylor expansion of (pow U 2) in J
9.983 * [taylor]: Taking taylor expansion of U in J
9.983 * [backup-simplify]: Simplify U into U
9.983 * [backup-simplify]: Simplify (* 1 1) into 1
9.983 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
9.983 * [backup-simplify]: Simplify (* U U) into (pow U 2)
9.983 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
9.983 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
9.984 * [backup-simplify]: Simplify (+ 1 0) into 1
9.984 * [backup-simplify]: Simplify (sqrt 1) into 1
9.984 * [backup-simplify]: Simplify (+ 0 0) into 0
9.985 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.985 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
9.985 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
9.985 * [taylor]: Taking taylor expansion of 1 in U
9.985 * [backup-simplify]: Simplify 1 into 1
9.985 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
9.985 * [taylor]: Taking taylor expansion of 1/4 in U
9.985 * [backup-simplify]: Simplify 1/4 into 1/4
9.985 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
9.985 * [taylor]: Taking taylor expansion of (pow J 2) in U
9.985 * [taylor]: Taking taylor expansion of J in U
9.985 * [backup-simplify]: Simplify J into J
9.985 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
9.985 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
9.985 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
9.985 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
9.985 * [taylor]: Taking taylor expansion of -1/2 in U
9.985 * [backup-simplify]: Simplify -1/2 into -1/2
9.985 * [taylor]: Taking taylor expansion of K in U
9.985 * [backup-simplify]: Simplify K into K
9.985 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
9.985 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
9.985 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
9.985 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
9.985 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
9.986 * [backup-simplify]: Simplify (- 0) into 0
9.986 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
9.986 * [taylor]: Taking taylor expansion of (pow U 2) in U
9.986 * [taylor]: Taking taylor expansion of U in U
9.986 * [backup-simplify]: Simplify 0 into 0
9.986 * [backup-simplify]: Simplify 1 into 1
9.986 * [backup-simplify]: Simplify (* J J) into (pow J 2)
9.986 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
9.986 * [backup-simplify]: Simplify (* 1 1) into 1
9.986 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
9.986 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
9.986 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
9.987 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
9.987 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
9.987 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
9.987 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.988 * [backup-simplify]: Simplify (+ 0) into 0
9.988 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
9.988 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
9.988 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.989 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
9.989 * [backup-simplify]: Simplify (- 0) into 0
9.989 * [backup-simplify]: Simplify (+ 0 0) into 0
9.989 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
9.990 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
9.990 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
9.990 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
9.990 * [backup-simplify]: Simplify (+ 0 0) into 0
9.991 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
9.991 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
9.991 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
9.991 * [taylor]: Taking taylor expansion of 1 in U
9.991 * [backup-simplify]: Simplify 1 into 1
9.991 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
9.991 * [taylor]: Taking taylor expansion of 1/4 in U
9.991 * [backup-simplify]: Simplify 1/4 into 1/4
9.991 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
9.991 * [taylor]: Taking taylor expansion of (pow J 2) in U
9.991 * [taylor]: Taking taylor expansion of J in U
9.991 * [backup-simplify]: Simplify J into J
9.991 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
9.991 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
9.991 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
9.991 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
9.991 * [taylor]: Taking taylor expansion of -1/2 in U
9.991 * [backup-simplify]: Simplify -1/2 into -1/2
9.991 * [taylor]: Taking taylor expansion of K in U
9.991 * [backup-simplify]: Simplify K into K
9.991 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
9.991 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
9.991 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
9.991 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
9.991 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
9.991 * [backup-simplify]: Simplify (- 0) into 0
9.991 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
9.991 * [taylor]: Taking taylor expansion of (pow U 2) in U
9.991 * [taylor]: Taking taylor expansion of U in U
9.992 * [backup-simplify]: Simplify 0 into 0
9.992 * [backup-simplify]: Simplify 1 into 1
9.992 * [backup-simplify]: Simplify (* J J) into (pow J 2)
9.992 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
9.992 * [backup-simplify]: Simplify (* 1 1) into 1
9.992 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
9.992 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
9.992 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
9.992 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
9.992 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
9.993 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
9.993 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.993 * [backup-simplify]: Simplify (+ 0) into 0
9.993 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
9.994 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
9.994 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.994 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
9.995 * [backup-simplify]: Simplify (- 0) into 0
9.995 * [backup-simplify]: Simplify (+ 0 0) into 0
9.995 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
9.995 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
9.995 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
9.996 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
9.996 * [backup-simplify]: Simplify (+ 0 0) into 0
9.996 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
9.996 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J
9.996 * [taylor]: Taking taylor expansion of 1/2 in J
9.996 * [backup-simplify]: Simplify 1/2 into 1/2
9.996 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J
9.996 * [taylor]: Taking taylor expansion of J in J
9.996 * [backup-simplify]: Simplify 0 into 0
9.996 * [backup-simplify]: Simplify 1 into 1
9.996 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
9.996 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
9.996 * [taylor]: Taking taylor expansion of -1/2 in J
9.996 * [backup-simplify]: Simplify -1/2 into -1/2
9.997 * [taylor]: Taking taylor expansion of K in J
9.997 * [backup-simplify]: Simplify K into K
9.997 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
9.997 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
9.997 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
9.997 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
9.997 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
9.997 * [backup-simplify]: Simplify (- 0) into 0
9.997 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
9.997 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K)))
9.997 * [taylor]: Taking taylor expansion of 0 in J
9.997 * [backup-simplify]: Simplify 0 into 0
9.997 * [taylor]: Taking taylor expansion of 0 in K
9.997 * [backup-simplify]: Simplify 0 into 0
9.997 * [backup-simplify]: Simplify 0 into 0
9.997 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K)))
9.997 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K
9.997 * [taylor]: Taking taylor expansion of 1/2 in K
9.997 * [backup-simplify]: Simplify 1/2 into 1/2
9.997 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
9.997 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
9.997 * [taylor]: Taking taylor expansion of -1/2 in K
9.997 * [backup-simplify]: Simplify -1/2 into -1/2
9.997 * [taylor]: Taking taylor expansion of K in K
9.997 * [backup-simplify]: Simplify 0 into 0
9.997 * [backup-simplify]: Simplify 1 into 1
9.998 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
9.998 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
9.998 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
9.998 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
9.998 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
9.999 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.999 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.000 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
10.000 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
10.000 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.001 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
10.001 * [backup-simplify]: Simplify (- 0) into 0
10.001 * [backup-simplify]: Simplify (+ 0 0) into 0
10.002 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
10.002 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
10.002 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
10.003 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0
10.003 * [backup-simplify]: Simplify (+ 1 0) into 1
10.004 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J)
10.004 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
10.004 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
10.004 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
10.004 * [taylor]: Taking taylor expansion of -1/2 in J
10.004 * [backup-simplify]: Simplify -1/2 into -1/2
10.004 * [taylor]: Taking taylor expansion of K in J
10.004 * [backup-simplify]: Simplify K into K
10.004 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
10.004 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
10.004 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
10.004 * [taylor]: Taking taylor expansion of J in J
10.004 * [backup-simplify]: Simplify 0 into 0
10.004 * [backup-simplify]: Simplify 1 into 1
10.004 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
10.004 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
10.004 * [backup-simplify]: Simplify (- 0) into 0
10.004 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
10.004 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
10.005 * [backup-simplify]: Simplify (+ 0) into 0
10.005 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
10.005 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
10.006 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.006 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
10.006 * [backup-simplify]: Simplify (- 0) into 0
10.006 * [backup-simplify]: Simplify (+ 0 0) into 0
10.007 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0
10.007 * [taylor]: Taking taylor expansion of 0 in K
10.007 * [backup-simplify]: Simplify 0 into 0
10.007 * [backup-simplify]: Simplify 0 into 0
10.007 * [taylor]: Taking taylor expansion of 0 in K
10.007 * [backup-simplify]: Simplify 0 into 0
10.007 * [backup-simplify]: Simplify 0 into 0
10.007 * [backup-simplify]: Simplify (+ 0) into 0
10.008 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
10.008 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
10.008 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.008 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
10.009 * [backup-simplify]: Simplify (- 0) into 0
10.009 * [backup-simplify]: Simplify (+ 0 0) into 0
10.009 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
10.009 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0
10.009 * [taylor]: Taking taylor expansion of 0 in K
10.009 * [backup-simplify]: Simplify 0 into 0
10.009 * [backup-simplify]: Simplify 0 into 0
10.009 * [backup-simplify]: Simplify 0 into 0
10.009 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
10.010 * [backup-simplify]: Simplify 0 into 0
10.010 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
10.011 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.011 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
10.012 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.012 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
10.013 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
10.013 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
10.013 * [backup-simplify]: Simplify (- 0) into 0
10.014 * [backup-simplify]: Simplify (+ 0 0) into 0
10.014 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
10.015 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.015 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
10.016 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
10.016 * [backup-simplify]: Simplify (+ 0 0) into 0
10.016 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
10.016 * [taylor]: Taking taylor expansion of 0 in J
10.016 * [backup-simplify]: Simplify 0 into 0
10.016 * [taylor]: Taking taylor expansion of 0 in K
10.016 * [backup-simplify]: Simplify 0 into 0
10.016 * [backup-simplify]: Simplify 0 into 0
10.017 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
10.017 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 1)
10.017 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))
10.017 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U J K) around 0
10.017 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K
10.017 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K
10.017 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
10.017 * [taylor]: Taking taylor expansion of 1/4 in K
10.017 * [backup-simplify]: Simplify 1/4 into 1/4
10.017 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
10.017 * [taylor]: Taking taylor expansion of (pow U 2) in K
10.017 * [taylor]: Taking taylor expansion of U in K
10.017 * [backup-simplify]: Simplify U into U
10.017 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
10.017 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
10.017 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
10.017 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
10.017 * [taylor]: Taking taylor expansion of 1/2 in K
10.017 * [backup-simplify]: Simplify 1/2 into 1/2
10.017 * [taylor]: Taking taylor expansion of K in K
10.017 * [backup-simplify]: Simplify 0 into 0
10.017 * [backup-simplify]: Simplify 1 into 1
10.018 * [backup-simplify]: Simplify (* 1/2 0) into 0
10.018 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
10.018 * [taylor]: Taking taylor expansion of (pow J 2) in K
10.018 * [taylor]: Taking taylor expansion of J in K
10.018 * [backup-simplify]: Simplify J into J
10.018 * [backup-simplify]: Simplify (* U U) into (pow U 2)
10.018 * [backup-simplify]: Simplify (* 1 1) into 1
10.018 * [backup-simplify]: Simplify (* J J) into (pow J 2)
10.018 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
10.018 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
10.018 * [taylor]: Taking taylor expansion of 1 in K
10.019 * [backup-simplify]: Simplify 1 into 1
10.019 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2)))
10.019 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
10.019 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
10.019 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
10.019 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
10.019 * [backup-simplify]: Simplify (+ 0) into 0
10.020 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.020 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
10.020 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
10.021 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0
10.021 * [backup-simplify]: Simplify (+ 0 0) into 0
10.021 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
10.022 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J
10.022 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J
10.022 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
10.022 * [taylor]: Taking taylor expansion of 1/4 in J
10.022 * [backup-simplify]: Simplify 1/4 into 1/4
10.022 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
10.022 * [taylor]: Taking taylor expansion of (pow U 2) in J
10.022 * [taylor]: Taking taylor expansion of U in J
10.022 * [backup-simplify]: Simplify U into U
10.022 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
10.022 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
10.022 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
10.022 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
10.022 * [taylor]: Taking taylor expansion of 1/2 in J
10.022 * [backup-simplify]: Simplify 1/2 into 1/2
10.022 * [taylor]: Taking taylor expansion of K in J
10.022 * [backup-simplify]: Simplify K into K
10.022 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
10.022 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
10.022 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
10.022 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
10.022 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
10.023 * [backup-simplify]: Simplify (- 0) into 0
10.023 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
10.023 * [taylor]: Taking taylor expansion of (pow J 2) in J
10.023 * [taylor]: Taking taylor expansion of J in J
10.023 * [backup-simplify]: Simplify 0 into 0
10.023 * [backup-simplify]: Simplify 1 into 1
10.023 * [backup-simplify]: Simplify (* U U) into (pow U 2)
10.023 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
10.023 * [backup-simplify]: Simplify (* 1 1) into 1
10.024 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
10.024 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
10.024 * [taylor]: Taking taylor expansion of 1 in J
10.024 * [backup-simplify]: Simplify 1 into 1
10.024 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
10.024 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
10.024 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
10.025 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
10.025 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.026 * [backup-simplify]: Simplify (+ 0) into 0
10.026 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
10.027 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
10.027 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.028 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
10.028 * [backup-simplify]: Simplify (- 0) into 0
10.029 * [backup-simplify]: Simplify (+ 0 0) into 0
10.029 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
10.029 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
10.030 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
10.030 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0
10.031 * [backup-simplify]: Simplify (+ 0 0) into 0
10.031 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
10.031 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
10.031 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
10.031 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
10.031 * [taylor]: Taking taylor expansion of 1/4 in U
10.031 * [backup-simplify]: Simplify 1/4 into 1/4
10.031 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
10.031 * [taylor]: Taking taylor expansion of (pow U 2) in U
10.031 * [taylor]: Taking taylor expansion of U in U
10.031 * [backup-simplify]: Simplify 0 into 0
10.031 * [backup-simplify]: Simplify 1 into 1
10.032 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
10.032 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
10.032 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
10.032 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
10.032 * [taylor]: Taking taylor expansion of 1/2 in U
10.032 * [backup-simplify]: Simplify 1/2 into 1/2
10.032 * [taylor]: Taking taylor expansion of K in U
10.032 * [backup-simplify]: Simplify K into K
10.032 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
10.032 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
10.032 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
10.032 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
10.032 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
10.033 * [backup-simplify]: Simplify (- 0) into 0
10.033 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
10.033 * [taylor]: Taking taylor expansion of (pow J 2) in U
10.033 * [taylor]: Taking taylor expansion of J in U
10.033 * [backup-simplify]: Simplify J into J
10.033 * [backup-simplify]: Simplify (* 1 1) into 1
10.033 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
10.033 * [backup-simplify]: Simplify (* J J) into (pow J 2)
10.034 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
10.034 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
10.034 * [taylor]: Taking taylor expansion of 1 in U
10.034 * [backup-simplify]: Simplify 1 into 1
10.034 * [backup-simplify]: Simplify (+ 0 1) into 1
10.035 * [backup-simplify]: Simplify (sqrt 1) into 1
10.035 * [backup-simplify]: Simplify (+ 0 0) into 0
10.036 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.036 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
10.036 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
10.036 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
10.036 * [taylor]: Taking taylor expansion of 1/4 in U
10.036 * [backup-simplify]: Simplify 1/4 into 1/4
10.036 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
10.036 * [taylor]: Taking taylor expansion of (pow U 2) in U
10.036 * [taylor]: Taking taylor expansion of U in U
10.036 * [backup-simplify]: Simplify 0 into 0
10.036 * [backup-simplify]: Simplify 1 into 1
10.036 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
10.036 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
10.036 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
10.036 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
10.036 * [taylor]: Taking taylor expansion of 1/2 in U
10.036 * [backup-simplify]: Simplify 1/2 into 1/2
10.036 * [taylor]: Taking taylor expansion of K in U
10.036 * [backup-simplify]: Simplify K into K
10.036 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
10.037 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
10.037 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
10.037 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
10.037 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
10.037 * [backup-simplify]: Simplify (- 0) into 0
10.037 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
10.037 * [taylor]: Taking taylor expansion of (pow J 2) in U
10.037 * [taylor]: Taking taylor expansion of J in U
10.037 * [backup-simplify]: Simplify J into J
10.038 * [backup-simplify]: Simplify (* 1 1) into 1
10.038 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
10.038 * [backup-simplify]: Simplify (* J J) into (pow J 2)
10.038 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
10.039 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
10.039 * [taylor]: Taking taylor expansion of 1 in U
10.039 * [backup-simplify]: Simplify 1 into 1
10.039 * [backup-simplify]: Simplify (+ 0 1) into 1
10.040 * [backup-simplify]: Simplify (sqrt 1) into 1
10.040 * [backup-simplify]: Simplify (+ 0 0) into 0
10.040 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.040 * [taylor]: Taking taylor expansion of 1 in J
10.040 * [backup-simplify]: Simplify 1 into 1
10.040 * [taylor]: Taking taylor expansion of 0 in J
10.040 * [backup-simplify]: Simplify 0 into 0
10.040 * [taylor]: Taking taylor expansion of 1 in K
10.040 * [backup-simplify]: Simplify 1 into 1
10.040 * [backup-simplify]: Simplify 1 into 1
10.041 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
10.041 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
10.042 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
10.042 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
10.042 * [taylor]: Taking taylor expansion of 1/8 in J
10.042 * [backup-simplify]: Simplify 1/8 into 1/8
10.042 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
10.042 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
10.042 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
10.042 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
10.042 * [taylor]: Taking taylor expansion of 1/2 in J
10.042 * [backup-simplify]: Simplify 1/2 into 1/2
10.042 * [taylor]: Taking taylor expansion of K in J
10.042 * [backup-simplify]: Simplify K into K
10.042 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
10.042 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
10.042 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
10.042 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
10.042 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
10.042 * [backup-simplify]: Simplify (- 0) into 0
10.042 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
10.042 * [taylor]: Taking taylor expansion of (pow J 2) in J
10.042 * [taylor]: Taking taylor expansion of J in J
10.042 * [backup-simplify]: Simplify 0 into 0
10.042 * [backup-simplify]: Simplify 1 into 1
10.042 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
10.045 * [backup-simplify]: Simplify (* 1 1) into 1
10.046 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
10.046 * [backup-simplify]: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2))
10.046 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.047 * [backup-simplify]: Simplify (+ 0) into 0
10.047 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
10.047 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
10.048 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.048 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
10.048 * [backup-simplify]: Simplify (- 0) into 0
10.048 * [backup-simplify]: Simplify (+ 0 0) into 0
10.048 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
10.049 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
10.049 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
10.049 * [taylor]: Taking taylor expansion of 0 in K
10.049 * [backup-simplify]: Simplify 0 into 0
10.049 * [backup-simplify]: Simplify 0 into 0
10.049 * [taylor]: Taking taylor expansion of 0 in K
10.049 * [backup-simplify]: Simplify 0 into 0
10.049 * [backup-simplify]: Simplify 0 into 0
10.049 * [taylor]: Taking taylor expansion of 0 in K
10.049 * [backup-simplify]: Simplify 0 into 0
10.049 * [backup-simplify]: Simplify 0 into 0
10.049 * [backup-simplify]: Simplify 0 into 0
10.050 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.050 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
10.050 * [backup-simplify]: Simplify (+ 0) into 0
10.050 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
10.050 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
10.051 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.051 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
10.051 * [backup-simplify]: Simplify (- 0) into 0
10.052 * [backup-simplify]: Simplify (+ 0 0) into 0
10.052 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
10.052 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0
10.052 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
10.053 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0
10.053 * [backup-simplify]: Simplify (+ 0 0) into 0
10.053 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0
10.053 * [taylor]: Taking taylor expansion of 0 in J
10.053 * [backup-simplify]: Simplify 0 into 0
10.054 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.054 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.055 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
10.055 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
10.056 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.056 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
10.056 * [backup-simplify]: Simplify (- 0) into 0
10.057 * [backup-simplify]: Simplify (+ 0 0) into 0
10.057 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0
10.057 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
10.058 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
10.058 * [taylor]: Taking taylor expansion of 0 in K
10.058 * [backup-simplify]: Simplify 0 into 0
10.058 * [backup-simplify]: Simplify 0 into 0
10.058 * [taylor]: Taking taylor expansion of 0 in K
10.058 * [backup-simplify]: Simplify 0 into 0
10.058 * [backup-simplify]: Simplify 0 into 0
10.058 * [backup-simplify]: Simplify 1 into 1
10.058 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
10.058 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U J K) around 0
10.058 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K
10.058 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K
10.058 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
10.058 * [taylor]: Taking taylor expansion of 1/4 in K
10.058 * [backup-simplify]: Simplify 1/4 into 1/4
10.058 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
10.058 * [taylor]: Taking taylor expansion of (pow J 2) in K
10.058 * [taylor]: Taking taylor expansion of J in K
10.058 * [backup-simplify]: Simplify J into J
10.058 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
10.058 * [taylor]: Taking taylor expansion of (pow U 2) in K
10.058 * [taylor]: Taking taylor expansion of U in K
10.058 * [backup-simplify]: Simplify U into U
10.058 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
10.059 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
10.059 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
10.059 * [taylor]: Taking taylor expansion of 1/2 in K
10.059 * [backup-simplify]: Simplify 1/2 into 1/2
10.059 * [taylor]: Taking taylor expansion of K in K
10.059 * [backup-simplify]: Simplify 0 into 0
10.059 * [backup-simplify]: Simplify 1 into 1
10.059 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
10.059 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
10.059 * [backup-simplify]: Simplify (* J J) into (pow J 2)
10.059 * [backup-simplify]: Simplify (* U U) into (pow U 2)
10.059 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
10.059 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
10.059 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
10.060 * [taylor]: Taking taylor expansion of 1 in K
10.060 * [backup-simplify]: Simplify 1 into 1
10.060 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))
10.060 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)
10.060 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
10.060 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
10.060 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
10.060 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
10.060 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
10.061 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
10.061 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
10.062 * [backup-simplify]: Simplify (+ 0 0) into 0
10.062 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
10.062 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
10.062 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
10.062 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
10.062 * [taylor]: Taking taylor expansion of 1/4 in J
10.062 * [backup-simplify]: Simplify 1/4 into 1/4
10.062 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
10.062 * [taylor]: Taking taylor expansion of (pow J 2) in J
10.062 * [taylor]: Taking taylor expansion of J in J
10.062 * [backup-simplify]: Simplify 0 into 0
10.062 * [backup-simplify]: Simplify 1 into 1
10.062 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
10.062 * [taylor]: Taking taylor expansion of (pow U 2) in J
10.062 * [taylor]: Taking taylor expansion of U in J
10.062 * [backup-simplify]: Simplify U into U
10.062 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
10.062 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
10.062 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
10.062 * [taylor]: Taking taylor expansion of 1/2 in J
10.062 * [backup-simplify]: Simplify 1/2 into 1/2
10.062 * [taylor]: Taking taylor expansion of K in J
10.062 * [backup-simplify]: Simplify K into K
10.062 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
10.062 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
10.062 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
10.062 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
10.062 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
10.063 * [backup-simplify]: Simplify (- 0) into 0
10.063 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
10.063 * [backup-simplify]: Simplify (* 1 1) into 1
10.063 * [backup-simplify]: Simplify (* U U) into (pow U 2)
10.063 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
10.063 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
10.063 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
10.063 * [taylor]: Taking taylor expansion of 1 in J
10.063 * [backup-simplify]: Simplify 1 into 1
10.064 * [backup-simplify]: Simplify (+ 0 1) into 1
10.064 * [backup-simplify]: Simplify (sqrt 1) into 1
10.064 * [backup-simplify]: Simplify (+ 0 0) into 0
10.064 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.064 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
10.065 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
10.065 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
10.065 * [taylor]: Taking taylor expansion of 1/4 in U
10.065 * [backup-simplify]: Simplify 1/4 into 1/4
10.065 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
10.065 * [taylor]: Taking taylor expansion of (pow J 2) in U
10.065 * [taylor]: Taking taylor expansion of J in U
10.065 * [backup-simplify]: Simplify J into J
10.065 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
10.065 * [taylor]: Taking taylor expansion of (pow U 2) in U
10.065 * [taylor]: Taking taylor expansion of U in U
10.065 * [backup-simplify]: Simplify 0 into 0
10.065 * [backup-simplify]: Simplify 1 into 1
10.065 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
10.065 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
10.065 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
10.065 * [taylor]: Taking taylor expansion of 1/2 in U
10.065 * [backup-simplify]: Simplify 1/2 into 1/2
10.065 * [taylor]: Taking taylor expansion of K in U
10.065 * [backup-simplify]: Simplify K into K
10.065 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
10.065 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
10.065 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
10.065 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
10.065 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
10.065 * [backup-simplify]: Simplify (- 0) into 0
10.065 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
10.065 * [backup-simplify]: Simplify (* J J) into (pow J 2)
10.066 * [backup-simplify]: Simplify (* 1 1) into 1
10.066 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
10.066 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
10.066 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
10.066 * [taylor]: Taking taylor expansion of 1 in U
10.066 * [backup-simplify]: Simplify 1 into 1
10.066 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
10.066 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
10.067 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
10.067 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
10.067 * [backup-simplify]: Simplify (+ 0) into 0
10.067 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
10.067 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
10.068 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.068 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
10.068 * [backup-simplify]: Simplify (- 0) into 0
10.069 * [backup-simplify]: Simplify (+ 0 0) into 0
10.069 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
10.069 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.069 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
10.070 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
10.070 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
10.070 * [backup-simplify]: Simplify (+ 0 0) into 0
10.070 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
10.070 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
10.070 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
10.070 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
10.070 * [taylor]: Taking taylor expansion of 1/4 in U
10.070 * [backup-simplify]: Simplify 1/4 into 1/4
10.070 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
10.070 * [taylor]: Taking taylor expansion of (pow J 2) in U
10.071 * [taylor]: Taking taylor expansion of J in U
10.071 * [backup-simplify]: Simplify J into J
10.071 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
10.071 * [taylor]: Taking taylor expansion of (pow U 2) in U
10.071 * [taylor]: Taking taylor expansion of U in U
10.071 * [backup-simplify]: Simplify 0 into 0
10.071 * [backup-simplify]: Simplify 1 into 1
10.071 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
10.071 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
10.071 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
10.071 * [taylor]: Taking taylor expansion of 1/2 in U
10.071 * [backup-simplify]: Simplify 1/2 into 1/2
10.071 * [taylor]: Taking taylor expansion of K in U
10.071 * [backup-simplify]: Simplify K into K
10.071 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
10.071 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
10.071 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
10.071 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
10.071 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
10.071 * [backup-simplify]: Simplify (- 0) into 0
10.071 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
10.071 * [backup-simplify]: Simplify (* J J) into (pow J 2)
10.071 * [backup-simplify]: Simplify (* 1 1) into 1
10.072 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
10.072 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
10.072 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
10.072 * [taylor]: Taking taylor expansion of 1 in U
10.072 * [backup-simplify]: Simplify 1 into 1
10.072 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
10.072 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
10.073 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
10.073 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
10.073 * [backup-simplify]: Simplify (+ 0) into 0
10.074 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
10.074 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
10.074 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.075 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
10.075 * [backup-simplify]: Simplify (- 0) into 0
10.076 * [backup-simplify]: Simplify (+ 0 0) into 0
10.076 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
10.077 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.077 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
10.078 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
10.078 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
10.079 * [backup-simplify]: Simplify (+ 0 0) into 0
10.079 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
10.079 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J
10.079 * [taylor]: Taking taylor expansion of 1/2 in J
10.079 * [backup-simplify]: Simplify 1/2 into 1/2
10.079 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J
10.079 * [taylor]: Taking taylor expansion of J in J
10.079 * [backup-simplify]: Simplify 0 into 0
10.079 * [backup-simplify]: Simplify 1 into 1
10.079 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
10.079 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
10.080 * [taylor]: Taking taylor expansion of 1/2 in J
10.080 * [backup-simplify]: Simplify 1/2 into 1/2
10.080 * [taylor]: Taking taylor expansion of K in J
10.080 * [backup-simplify]: Simplify K into K
10.080 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
10.080 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
10.080 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
10.080 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
10.080 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
10.080 * [backup-simplify]: Simplify (- 0) into 0
10.080 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
10.081 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K)))
10.081 * [taylor]: Taking taylor expansion of 0 in J
10.081 * [backup-simplify]: Simplify 0 into 0
10.081 * [taylor]: Taking taylor expansion of 0 in K
10.081 * [backup-simplify]: Simplify 0 into 0
10.081 * [backup-simplify]: Simplify 0 into 0
10.081 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K)))
10.081 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K
10.081 * [taylor]: Taking taylor expansion of 1/2 in K
10.081 * [backup-simplify]: Simplify 1/2 into 1/2
10.081 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
10.081 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
10.081 * [taylor]: Taking taylor expansion of 1/2 in K
10.081 * [backup-simplify]: Simplify 1/2 into 1/2
10.081 * [taylor]: Taking taylor expansion of K in K
10.081 * [backup-simplify]: Simplify 0 into 0
10.081 * [backup-simplify]: Simplify 1 into 1
10.082 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
10.082 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
10.082 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
10.082 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
10.082 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
10.083 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.084 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
10.084 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
10.085 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.086 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
10.086 * [backup-simplify]: Simplify (- 0) into 0
10.087 * [backup-simplify]: Simplify (+ 0 0) into 0
10.087 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
10.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
10.090 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
10.091 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0
10.091 * [backup-simplify]: Simplify (+ 0 1) into 1
10.092 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J)
10.092 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
10.092 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
10.092 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
10.092 * [taylor]: Taking taylor expansion of 1/2 in J
10.092 * [backup-simplify]: Simplify 1/2 into 1/2
10.092 * [taylor]: Taking taylor expansion of K in J
10.092 * [backup-simplify]: Simplify K into K
10.092 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
10.092 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
10.092 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
10.092 * [taylor]: Taking taylor expansion of J in J
10.092 * [backup-simplify]: Simplify 0 into 0
10.092 * [backup-simplify]: Simplify 1 into 1
10.092 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
10.093 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
10.093 * [backup-simplify]: Simplify (- 0) into 0
10.093 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
10.093 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
10.094 * [backup-simplify]: Simplify (+ 0) into 0
10.094 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
10.094 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
10.095 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.095 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
10.096 * [backup-simplify]: Simplify (- 0) into 0
10.096 * [backup-simplify]: Simplify (+ 0 0) into 0
10.097 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0
10.097 * [taylor]: Taking taylor expansion of 0 in K
10.097 * [backup-simplify]: Simplify 0 into 0
10.097 * [backup-simplify]: Simplify 0 into 0
10.097 * [taylor]: Taking taylor expansion of 0 in K
10.097 * [backup-simplify]: Simplify 0 into 0
10.097 * [backup-simplify]: Simplify 0 into 0
10.098 * [backup-simplify]: Simplify (+ 0) into 0
10.098 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
10.099 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
10.099 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.100 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
10.100 * [backup-simplify]: Simplify (- 0) into 0
10.101 * [backup-simplify]: Simplify (+ 0 0) into 0
10.101 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
10.102 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0
10.102 * [taylor]: Taking taylor expansion of 0 in K
10.102 * [backup-simplify]: Simplify 0 into 0
10.102 * [backup-simplify]: Simplify 0 into 0
10.102 * [backup-simplify]: Simplify 0 into 0
10.102 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
10.102 * [backup-simplify]: Simplify 0 into 0
10.103 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
10.104 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
10.104 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.105 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
10.106 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
10.107 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
10.107 * [backup-simplify]: Simplify (- 0) into 0
10.107 * [backup-simplify]: Simplify (+ 0 0) into 0
10.108 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
10.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0
10.111 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
10.113 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
10.113 * [backup-simplify]: Simplify (+ 0 0) into 0
10.113 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0
10.113 * [taylor]: Taking taylor expansion of 0 in J
10.113 * [backup-simplify]: Simplify 0 into 0
10.113 * [taylor]: Taking taylor expansion of 0 in K
10.113 * [backup-simplify]: Simplify 0 into 0
10.114 * [backup-simplify]: Simplify 0 into 0
10.114 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
10.115 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))
10.115 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U J K) around 0
10.115 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K
10.115 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K
10.115 * [taylor]: Taking taylor expansion of 1 in K
10.115 * [backup-simplify]: Simplify 1 into 1
10.115 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
10.115 * [taylor]: Taking taylor expansion of 1/4 in K
10.115 * [backup-simplify]: Simplify 1/4 into 1/4
10.115 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
10.115 * [taylor]: Taking taylor expansion of (pow J 2) in K
10.115 * [taylor]: Taking taylor expansion of J in K
10.115 * [backup-simplify]: Simplify J into J
10.115 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
10.115 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
10.115 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
10.115 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
10.115 * [taylor]: Taking taylor expansion of -1/2 in K
10.115 * [backup-simplify]: Simplify -1/2 into -1/2
10.115 * [taylor]: Taking taylor expansion of K in K
10.115 * [backup-simplify]: Simplify 0 into 0
10.115 * [backup-simplify]: Simplify 1 into 1
10.116 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
10.116 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
10.116 * [taylor]: Taking taylor expansion of (pow U 2) in K
10.116 * [taylor]: Taking taylor expansion of U in K
10.116 * [backup-simplify]: Simplify U into U
10.116 * [backup-simplify]: Simplify (* J J) into (pow J 2)
10.116 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
10.116 * [backup-simplify]: Simplify (* U U) into (pow U 2)
10.117 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
10.117 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
10.117 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
10.117 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))
10.118 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))
10.118 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
10.118 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
10.118 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
10.118 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
10.119 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0
10.120 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
10.120 * [backup-simplify]: Simplify (+ 0 0) into 0
10.120 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0
10.120 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
10.120 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
10.121 * [taylor]: Taking taylor expansion of 1 in J
10.121 * [backup-simplify]: Simplify 1 into 1
10.121 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
10.121 * [taylor]: Taking taylor expansion of 1/4 in J
10.121 * [backup-simplify]: Simplify 1/4 into 1/4
10.121 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
10.121 * [taylor]: Taking taylor expansion of (pow J 2) in J
10.121 * [taylor]: Taking taylor expansion of J in J
10.121 * [backup-simplify]: Simplify 0 into 0
10.121 * [backup-simplify]: Simplify 1 into 1
10.121 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
10.121 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
10.121 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
10.121 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
10.121 * [taylor]: Taking taylor expansion of -1/2 in J
10.121 * [backup-simplify]: Simplify -1/2 into -1/2
10.121 * [taylor]: Taking taylor expansion of K in J
10.121 * [backup-simplify]: Simplify K into K
10.121 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
10.121 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
10.121 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
10.121 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
10.121 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
10.122 * [backup-simplify]: Simplify (- 0) into 0
10.122 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
10.122 * [taylor]: Taking taylor expansion of (pow U 2) in J
10.122 * [taylor]: Taking taylor expansion of U in J
10.122 * [backup-simplify]: Simplify U into U
10.122 * [backup-simplify]: Simplify (* 1 1) into 1
10.122 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
10.122 * [backup-simplify]: Simplify (* U U) into (pow U 2)
10.123 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
10.123 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
10.123 * [backup-simplify]: Simplify (+ 1 0) into 1
10.124 * [backup-simplify]: Simplify (sqrt 1) into 1
10.124 * [backup-simplify]: Simplify (+ 0 0) into 0
10.125 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.125 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
10.125 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
10.125 * [taylor]: Taking taylor expansion of 1 in U
10.125 * [backup-simplify]: Simplify 1 into 1
10.125 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
10.125 * [taylor]: Taking taylor expansion of 1/4 in U
10.125 * [backup-simplify]: Simplify 1/4 into 1/4
10.125 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
10.125 * [taylor]: Taking taylor expansion of (pow J 2) in U
10.125 * [taylor]: Taking taylor expansion of J in U
10.125 * [backup-simplify]: Simplify J into J
10.125 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
10.125 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
10.125 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
10.125 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
10.125 * [taylor]: Taking taylor expansion of -1/2 in U
10.125 * [backup-simplify]: Simplify -1/2 into -1/2
10.125 * [taylor]: Taking taylor expansion of K in U
10.125 * [backup-simplify]: Simplify K into K
10.125 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
10.125 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
10.125 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
10.125 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
10.125 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
10.126 * [backup-simplify]: Simplify (- 0) into 0
10.126 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
10.126 * [taylor]: Taking taylor expansion of (pow U 2) in U
10.126 * [taylor]: Taking taylor expansion of U in U
10.126 * [backup-simplify]: Simplify 0 into 0
10.126 * [backup-simplify]: Simplify 1 into 1
10.126 * [backup-simplify]: Simplify (* J J) into (pow J 2)
10.126 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
10.127 * [backup-simplify]: Simplify (* 1 1) into 1
10.127 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
10.127 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
10.127 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
10.127 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
10.128 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
10.128 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
10.128 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.129 * [backup-simplify]: Simplify (+ 0) into 0
10.129 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
10.129 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
10.130 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.131 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
10.131 * [backup-simplify]: Simplify (- 0) into 0
10.131 * [backup-simplify]: Simplify (+ 0 0) into 0
10.131 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
10.132 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
10.132 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
10.133 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
10.133 * [backup-simplify]: Simplify (+ 0 0) into 0
10.134 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
10.134 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
10.134 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
10.134 * [taylor]: Taking taylor expansion of 1 in U
10.134 * [backup-simplify]: Simplify 1 into 1
10.134 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
10.134 * [taylor]: Taking taylor expansion of 1/4 in U
10.134 * [backup-simplify]: Simplify 1/4 into 1/4
10.134 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
10.134 * [taylor]: Taking taylor expansion of (pow J 2) in U
10.134 * [taylor]: Taking taylor expansion of J in U
10.134 * [backup-simplify]: Simplify J into J
10.134 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
10.134 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
10.134 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
10.134 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
10.134 * [taylor]: Taking taylor expansion of -1/2 in U
10.134 * [backup-simplify]: Simplify -1/2 into -1/2
10.134 * [taylor]: Taking taylor expansion of K in U
10.134 * [backup-simplify]: Simplify K into K
10.134 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
10.134 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
10.134 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
10.134 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
10.134 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
10.135 * [backup-simplify]: Simplify (- 0) into 0
10.135 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
10.135 * [taylor]: Taking taylor expansion of (pow U 2) in U
10.135 * [taylor]: Taking taylor expansion of U in U
10.135 * [backup-simplify]: Simplify 0 into 0
10.135 * [backup-simplify]: Simplify 1 into 1
10.135 * [backup-simplify]: Simplify (* J J) into (pow J 2)
10.135 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
10.135 * [backup-simplify]: Simplify (* 1 1) into 1
10.136 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
10.136 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
10.136 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
10.136 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
10.136 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
10.137 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
10.137 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.137 * [backup-simplify]: Simplify (+ 0) into 0
10.138 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
10.138 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
10.139 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.139 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
10.140 * [backup-simplify]: Simplify (- 0) into 0
10.140 * [backup-simplify]: Simplify (+ 0 0) into 0
10.140 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
10.141 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
10.141 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
10.142 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
10.142 * [backup-simplify]: Simplify (+ 0 0) into 0
10.142 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
10.142 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J
10.142 * [taylor]: Taking taylor expansion of 1/2 in J
10.142 * [backup-simplify]: Simplify 1/2 into 1/2
10.142 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J
10.143 * [taylor]: Taking taylor expansion of J in J
10.143 * [backup-simplify]: Simplify 0 into 0
10.143 * [backup-simplify]: Simplify 1 into 1
10.143 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
10.143 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
10.143 * [taylor]: Taking taylor expansion of -1/2 in J
10.143 * [backup-simplify]: Simplify -1/2 into -1/2
10.143 * [taylor]: Taking taylor expansion of K in J
10.143 * [backup-simplify]: Simplify K into K
10.143 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
10.143 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
10.143 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
10.143 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
10.143 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
10.143 * [backup-simplify]: Simplify (- 0) into 0
10.144 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
10.144 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K)))
10.144 * [taylor]: Taking taylor expansion of 0 in J
10.144 * [backup-simplify]: Simplify 0 into 0
10.144 * [taylor]: Taking taylor expansion of 0 in K
10.144 * [backup-simplify]: Simplify 0 into 0
10.144 * [backup-simplify]: Simplify 0 into 0
10.144 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K)))
10.144 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K
10.144 * [taylor]: Taking taylor expansion of 1/2 in K
10.144 * [backup-simplify]: Simplify 1/2 into 1/2
10.144 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
10.144 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
10.144 * [taylor]: Taking taylor expansion of -1/2 in K
10.144 * [backup-simplify]: Simplify -1/2 into -1/2
10.144 * [taylor]: Taking taylor expansion of K in K
10.144 * [backup-simplify]: Simplify 0 into 0
10.144 * [backup-simplify]: Simplify 1 into 1
10.144 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
10.144 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
10.144 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
10.144 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
10.145 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
10.145 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.146 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.146 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
10.146 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
10.147 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.147 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
10.147 * [backup-simplify]: Simplify (- 0) into 0
10.148 * [backup-simplify]: Simplify (+ 0 0) into 0
10.148 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
10.148 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
10.149 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
10.149 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0
10.149 * [backup-simplify]: Simplify (+ 1 0) into 1
10.150 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J)
10.150 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
10.150 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
10.150 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
10.150 * [taylor]: Taking taylor expansion of -1/2 in J
10.150 * [backup-simplify]: Simplify -1/2 into -1/2
10.150 * [taylor]: Taking taylor expansion of K in J
10.150 * [backup-simplify]: Simplify K into K
10.150 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
10.150 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
10.150 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
10.150 * [taylor]: Taking taylor expansion of J in J
10.150 * [backup-simplify]: Simplify 0 into 0
10.150 * [backup-simplify]: Simplify 1 into 1
10.150 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
10.150 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
10.151 * [backup-simplify]: Simplify (- 0) into 0
10.151 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
10.151 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
10.151 * [backup-simplify]: Simplify (+ 0) into 0
10.151 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
10.151 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
10.152 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.152 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
10.152 * [backup-simplify]: Simplify (- 0) into 0
10.153 * [backup-simplify]: Simplify (+ 0 0) into 0
10.153 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0
10.153 * [taylor]: Taking taylor expansion of 0 in K
10.153 * [backup-simplify]: Simplify 0 into 0
10.153 * [backup-simplify]: Simplify 0 into 0
10.153 * [taylor]: Taking taylor expansion of 0 in K
10.153 * [backup-simplify]: Simplify 0 into 0
10.153 * [backup-simplify]: Simplify 0 into 0
10.153 * [backup-simplify]: Simplify (+ 0) into 0
10.154 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
10.154 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
10.154 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.155 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
10.155 * [backup-simplify]: Simplify (- 0) into 0
10.155 * [backup-simplify]: Simplify (+ 0 0) into 0
10.155 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
10.155 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0
10.156 * [taylor]: Taking taylor expansion of 0 in K
10.156 * [backup-simplify]: Simplify 0 into 0
10.156 * [backup-simplify]: Simplify 0 into 0
10.156 * [backup-simplify]: Simplify 0 into 0
10.156 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
10.156 * [backup-simplify]: Simplify 0 into 0
10.156 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
10.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.157 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
10.158 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.158 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
10.159 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
10.159 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
10.160 * [backup-simplify]: Simplify (- 0) into 0
10.160 * [backup-simplify]: Simplify (+ 0 0) into 0
10.160 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
10.161 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.161 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
10.162 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
10.162 * [backup-simplify]: Simplify (+ 0 0) into 0
10.162 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
10.162 * [taylor]: Taking taylor expansion of 0 in J
10.162 * [backup-simplify]: Simplify 0 into 0
10.162 * [taylor]: Taking taylor expansion of 0 in K
10.163 * [backup-simplify]: Simplify 0 into 0
10.163 * [backup-simplify]: Simplify 0 into 0
10.163 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
10.163 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1)
10.163 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))
10.163 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U J K) around 0
10.163 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K
10.163 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K
10.163 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
10.163 * [taylor]: Taking taylor expansion of 1/4 in K
10.163 * [backup-simplify]: Simplify 1/4 into 1/4
10.163 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
10.163 * [taylor]: Taking taylor expansion of (pow U 2) in K
10.163 * [taylor]: Taking taylor expansion of U in K
10.163 * [backup-simplify]: Simplify U into U
10.163 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
10.163 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
10.163 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
10.163 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
10.163 * [taylor]: Taking taylor expansion of 1/2 in K
10.163 * [backup-simplify]: Simplify 1/2 into 1/2
10.163 * [taylor]: Taking taylor expansion of K in K
10.163 * [backup-simplify]: Simplify 0 into 0
10.163 * [backup-simplify]: Simplify 1 into 1
10.167 * [backup-simplify]: Simplify (* 1/2 0) into 0
10.167 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
10.167 * [taylor]: Taking taylor expansion of (pow J 2) in K
10.167 * [taylor]: Taking taylor expansion of J in K
10.167 * [backup-simplify]: Simplify J into J
10.168 * [backup-simplify]: Simplify (* U U) into (pow U 2)
10.168 * [backup-simplify]: Simplify (* 1 1) into 1
10.168 * [backup-simplify]: Simplify (* J J) into (pow J 2)
10.168 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
10.168 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
10.168 * [taylor]: Taking taylor expansion of 1 in K
10.168 * [backup-simplify]: Simplify 1 into 1
10.168 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2)))
10.168 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
10.168 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
10.168 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
10.169 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
10.169 * [backup-simplify]: Simplify (+ 0) into 0
10.169 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.169 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
10.170 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
10.170 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0
10.170 * [backup-simplify]: Simplify (+ 0 0) into 0
10.170 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
10.170 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J
10.170 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J
10.170 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
10.171 * [taylor]: Taking taylor expansion of 1/4 in J
10.171 * [backup-simplify]: Simplify 1/4 into 1/4
10.171 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
10.171 * [taylor]: Taking taylor expansion of (pow U 2) in J
10.171 * [taylor]: Taking taylor expansion of U in J
10.171 * [backup-simplify]: Simplify U into U
10.171 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
10.171 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
10.171 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
10.171 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
10.171 * [taylor]: Taking taylor expansion of 1/2 in J
10.171 * [backup-simplify]: Simplify 1/2 into 1/2
10.171 * [taylor]: Taking taylor expansion of K in J
10.171 * [backup-simplify]: Simplify K into K
10.171 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
10.171 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
10.171 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
10.171 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
10.171 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
10.171 * [backup-simplify]: Simplify (- 0) into 0
10.171 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
10.171 * [taylor]: Taking taylor expansion of (pow J 2) in J
10.171 * [taylor]: Taking taylor expansion of J in J
10.171 * [backup-simplify]: Simplify 0 into 0
10.171 * [backup-simplify]: Simplify 1 into 1
10.171 * [backup-simplify]: Simplify (* U U) into (pow U 2)
10.171 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
10.172 * [backup-simplify]: Simplify (* 1 1) into 1
10.172 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
10.172 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
10.172 * [taylor]: Taking taylor expansion of 1 in J
10.172 * [backup-simplify]: Simplify 1 into 1
10.172 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
10.172 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
10.173 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
10.173 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
10.173 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.174 * [backup-simplify]: Simplify (+ 0) into 0
10.174 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
10.175 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
10.175 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.176 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
10.176 * [backup-simplify]: Simplify (- 0) into 0
10.176 * [backup-simplify]: Simplify (+ 0 0) into 0
10.177 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
10.177 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
10.177 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
10.178 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0
10.178 * [backup-simplify]: Simplify (+ 0 0) into 0
10.179 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
10.179 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
10.179 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
10.179 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
10.179 * [taylor]: Taking taylor expansion of 1/4 in U
10.179 * [backup-simplify]: Simplify 1/4 into 1/4
10.179 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
10.179 * [taylor]: Taking taylor expansion of (pow U 2) in U
10.179 * [taylor]: Taking taylor expansion of U in U
10.179 * [backup-simplify]: Simplify 0 into 0
10.179 * [backup-simplify]: Simplify 1 into 1
10.179 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
10.179 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
10.179 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
10.179 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
10.179 * [taylor]: Taking taylor expansion of 1/2 in U
10.179 * [backup-simplify]: Simplify 1/2 into 1/2
10.179 * [taylor]: Taking taylor expansion of K in U
10.179 * [backup-simplify]: Simplify K into K
10.179 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
10.179 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
10.179 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
10.179 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
10.179 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
10.180 * [backup-simplify]: Simplify (- 0) into 0
10.180 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
10.180 * [taylor]: Taking taylor expansion of (pow J 2) in U
10.180 * [taylor]: Taking taylor expansion of J in U
10.180 * [backup-simplify]: Simplify J into J
10.180 * [backup-simplify]: Simplify (* 1 1) into 1
10.180 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
10.180 * [backup-simplify]: Simplify (* J J) into (pow J 2)
10.180 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
10.181 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
10.181 * [taylor]: Taking taylor expansion of 1 in U
10.181 * [backup-simplify]: Simplify 1 into 1
10.181 * [backup-simplify]: Simplify (+ 0 1) into 1
10.181 * [backup-simplify]: Simplify (sqrt 1) into 1
10.182 * [backup-simplify]: Simplify (+ 0 0) into 0
10.182 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.182 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
10.183 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
10.183 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
10.183 * [taylor]: Taking taylor expansion of 1/4 in U
10.183 * [backup-simplify]: Simplify 1/4 into 1/4
10.183 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
10.183 * [taylor]: Taking taylor expansion of (pow U 2) in U
10.183 * [taylor]: Taking taylor expansion of U in U
10.183 * [backup-simplify]: Simplify 0 into 0
10.183 * [backup-simplify]: Simplify 1 into 1
10.183 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
10.183 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
10.183 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
10.183 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
10.183 * [taylor]: Taking taylor expansion of 1/2 in U
10.183 * [backup-simplify]: Simplify 1/2 into 1/2
10.183 * [taylor]: Taking taylor expansion of K in U
10.183 * [backup-simplify]: Simplify K into K
10.183 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
10.183 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
10.183 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
10.183 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
10.183 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
10.184 * [backup-simplify]: Simplify (- 0) into 0
10.184 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
10.184 * [taylor]: Taking taylor expansion of (pow J 2) in U
10.184 * [taylor]: Taking taylor expansion of J in U
10.184 * [backup-simplify]: Simplify J into J
10.184 * [backup-simplify]: Simplify (* 1 1) into 1
10.184 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
10.184 * [backup-simplify]: Simplify (* J J) into (pow J 2)
10.184 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
10.185 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
10.185 * [taylor]: Taking taylor expansion of 1 in U
10.185 * [backup-simplify]: Simplify 1 into 1
10.185 * [backup-simplify]: Simplify (+ 0 1) into 1
10.185 * [backup-simplify]: Simplify (sqrt 1) into 1
10.186 * [backup-simplify]: Simplify (+ 0 0) into 0
10.186 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.186 * [taylor]: Taking taylor expansion of 1 in J
10.186 * [backup-simplify]: Simplify 1 into 1
10.187 * [taylor]: Taking taylor expansion of 0 in J
10.187 * [backup-simplify]: Simplify 0 into 0
10.187 * [taylor]: Taking taylor expansion of 1 in K
10.187 * [backup-simplify]: Simplify 1 into 1
10.187 * [backup-simplify]: Simplify 1 into 1
10.187 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
10.187 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
10.188 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
10.188 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
10.188 * [taylor]: Taking taylor expansion of 1/8 in J
10.188 * [backup-simplify]: Simplify 1/8 into 1/8
10.188 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
10.188 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
10.189 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
10.189 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
10.189 * [taylor]: Taking taylor expansion of 1/2 in J
10.189 * [backup-simplify]: Simplify 1/2 into 1/2
10.189 * [taylor]: Taking taylor expansion of K in J
10.189 * [backup-simplify]: Simplify K into K
10.189 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
10.189 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
10.189 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
10.189 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
10.189 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
10.189 * [backup-simplify]: Simplify (- 0) into 0
10.189 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
10.189 * [taylor]: Taking taylor expansion of (pow J 2) in J
10.189 * [taylor]: Taking taylor expansion of J in J
10.189 * [backup-simplify]: Simplify 0 into 0
10.189 * [backup-simplify]: Simplify 1 into 1
10.190 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
10.190 * [backup-simplify]: Simplify (* 1 1) into 1
10.190 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
10.190 * [backup-simplify]: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2))
10.191 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.191 * [backup-simplify]: Simplify (+ 0) into 0
10.192 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
10.192 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
10.193 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.193 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
10.193 * [backup-simplify]: Simplify (- 0) into 0
10.194 * [backup-simplify]: Simplify (+ 0 0) into 0
10.194 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
10.194 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
10.195 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
10.195 * [taylor]: Taking taylor expansion of 0 in K
10.195 * [backup-simplify]: Simplify 0 into 0
10.195 * [backup-simplify]: Simplify 0 into 0
10.195 * [taylor]: Taking taylor expansion of 0 in K
10.195 * [backup-simplify]: Simplify 0 into 0
10.195 * [backup-simplify]: Simplify 0 into 0
10.195 * [taylor]: Taking taylor expansion of 0 in K
10.195 * [backup-simplify]: Simplify 0 into 0
10.195 * [backup-simplify]: Simplify 0 into 0
10.195 * [backup-simplify]: Simplify 0 into 0
10.196 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.196 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
10.196 * [backup-simplify]: Simplify (+ 0) into 0
10.197 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
10.197 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
10.198 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.198 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
10.199 * [backup-simplify]: Simplify (- 0) into 0
10.199 * [backup-simplify]: Simplify (+ 0 0) into 0
10.199 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
10.199 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0
10.200 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
10.200 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0
10.201 * [backup-simplify]: Simplify (+ 0 0) into 0
10.201 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0
10.201 * [taylor]: Taking taylor expansion of 0 in J
10.202 * [backup-simplify]: Simplify 0 into 0
10.202 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.203 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.204 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
10.205 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
10.205 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.206 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
10.206 * [backup-simplify]: Simplify (- 0) into 0
10.207 * [backup-simplify]: Simplify (+ 0 0) into 0
10.207 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0
10.208 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
10.208 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
10.208 * [taylor]: Taking taylor expansion of 0 in K
10.208 * [backup-simplify]: Simplify 0 into 0
10.208 * [backup-simplify]: Simplify 0 into 0
10.208 * [taylor]: Taking taylor expansion of 0 in K
10.208 * [backup-simplify]: Simplify 0 into 0
10.209 * [backup-simplify]: Simplify 0 into 0
10.209 * [backup-simplify]: Simplify 1 into 1
10.209 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
10.209 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U J K) around 0
10.209 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K
10.209 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K
10.209 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
10.209 * [taylor]: Taking taylor expansion of 1/4 in K
10.209 * [backup-simplify]: Simplify 1/4 into 1/4
10.209 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
10.209 * [taylor]: Taking taylor expansion of (pow J 2) in K
10.209 * [taylor]: Taking taylor expansion of J in K
10.209 * [backup-simplify]: Simplify J into J
10.209 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
10.209 * [taylor]: Taking taylor expansion of (pow U 2) in K
10.209 * [taylor]: Taking taylor expansion of U in K
10.210 * [backup-simplify]: Simplify U into U
10.210 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
10.210 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
10.210 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
10.210 * [taylor]: Taking taylor expansion of 1/2 in K
10.210 * [backup-simplify]: Simplify 1/2 into 1/2
10.210 * [taylor]: Taking taylor expansion of K in K
10.210 * [backup-simplify]: Simplify 0 into 0
10.210 * [backup-simplify]: Simplify 1 into 1
10.210 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
10.210 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
10.210 * [backup-simplify]: Simplify (* J J) into (pow J 2)
10.210 * [backup-simplify]: Simplify (* U U) into (pow U 2)
10.210 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
10.211 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
10.211 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
10.211 * [taylor]: Taking taylor expansion of 1 in K
10.211 * [backup-simplify]: Simplify 1 into 1
10.211 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))
10.212 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)
10.212 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
10.212 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
10.212 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
10.212 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
10.212 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
10.213 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
10.214 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
10.214 * [backup-simplify]: Simplify (+ 0 0) into 0
10.215 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
10.215 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
10.215 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
10.215 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
10.215 * [taylor]: Taking taylor expansion of 1/4 in J
10.215 * [backup-simplify]: Simplify 1/4 into 1/4
10.215 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
10.215 * [taylor]: Taking taylor expansion of (pow J 2) in J
10.215 * [taylor]: Taking taylor expansion of J in J
10.215 * [backup-simplify]: Simplify 0 into 0
10.215 * [backup-simplify]: Simplify 1 into 1
10.215 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
10.215 * [taylor]: Taking taylor expansion of (pow U 2) in J
10.215 * [taylor]: Taking taylor expansion of U in J
10.215 * [backup-simplify]: Simplify U into U
10.215 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
10.215 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
10.215 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
10.215 * [taylor]: Taking taylor expansion of 1/2 in J
10.215 * [backup-simplify]: Simplify 1/2 into 1/2
10.215 * [taylor]: Taking taylor expansion of K in J
10.215 * [backup-simplify]: Simplify K into K
10.215 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
10.215 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
10.216 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
10.216 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
10.216 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
10.216 * [backup-simplify]: Simplify (- 0) into 0
10.216 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
10.217 * [backup-simplify]: Simplify (* 1 1) into 1
10.217 * [backup-simplify]: Simplify (* U U) into (pow U 2)
10.217 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
10.217 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
10.217 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
10.217 * [taylor]: Taking taylor expansion of 1 in J
10.217 * [backup-simplify]: Simplify 1 into 1
10.218 * [backup-simplify]: Simplify (+ 0 1) into 1
10.218 * [backup-simplify]: Simplify (sqrt 1) into 1
10.219 * [backup-simplify]: Simplify (+ 0 0) into 0
10.219 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.219 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
10.219 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
10.220 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
10.220 * [taylor]: Taking taylor expansion of 1/4 in U
10.220 * [backup-simplify]: Simplify 1/4 into 1/4
10.220 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
10.220 * [taylor]: Taking taylor expansion of (pow J 2) in U
10.220 * [taylor]: Taking taylor expansion of J in U
10.220 * [backup-simplify]: Simplify J into J
10.220 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
10.220 * [taylor]: Taking taylor expansion of (pow U 2) in U
10.220 * [taylor]: Taking taylor expansion of U in U
10.220 * [backup-simplify]: Simplify 0 into 0
10.220 * [backup-simplify]: Simplify 1 into 1
10.220 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
10.220 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
10.220 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
10.220 * [taylor]: Taking taylor expansion of 1/2 in U
10.220 * [backup-simplify]: Simplify 1/2 into 1/2
10.220 * [taylor]: Taking taylor expansion of K in U
10.220 * [backup-simplify]: Simplify K into K
10.220 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
10.220 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
10.220 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
10.220 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
10.220 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
10.221 * [backup-simplify]: Simplify (- 0) into 0
10.221 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
10.221 * [backup-simplify]: Simplify (* J J) into (pow J 2)
10.221 * [backup-simplify]: Simplify (* 1 1) into 1
10.222 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
10.222 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
10.222 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
10.222 * [taylor]: Taking taylor expansion of 1 in U
10.222 * [backup-simplify]: Simplify 1 into 1
10.222 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
10.222 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
10.223 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
10.223 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
10.223 * [backup-simplify]: Simplify (+ 0) into 0
10.224 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
10.225 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
10.226 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.226 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
10.227 * [backup-simplify]: Simplify (- 0) into 0
10.227 * [backup-simplify]: Simplify (+ 0 0) into 0
10.228 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
10.228 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.229 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
10.229 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
10.230 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
10.230 * [backup-simplify]: Simplify (+ 0 0) into 0
10.231 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
10.231 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
10.231 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
10.231 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
10.231 * [taylor]: Taking taylor expansion of 1/4 in U
10.231 * [backup-simplify]: Simplify 1/4 into 1/4
10.231 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
10.231 * [taylor]: Taking taylor expansion of (pow J 2) in U
10.231 * [taylor]: Taking taylor expansion of J in U
10.231 * [backup-simplify]: Simplify J into J
10.231 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
10.231 * [taylor]: Taking taylor expansion of (pow U 2) in U
10.231 * [taylor]: Taking taylor expansion of U in U
10.231 * [backup-simplify]: Simplify 0 into 0
10.231 * [backup-simplify]: Simplify 1 into 1
10.231 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
10.231 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
10.231 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
10.231 * [taylor]: Taking taylor expansion of 1/2 in U
10.231 * [backup-simplify]: Simplify 1/2 into 1/2
10.231 * [taylor]: Taking taylor expansion of K in U
10.231 * [backup-simplify]: Simplify K into K
10.231 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
10.231 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
10.231 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
10.231 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
10.231 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
10.232 * [backup-simplify]: Simplify (- 0) into 0
10.232 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
10.232 * [backup-simplify]: Simplify (* J J) into (pow J 2)
10.232 * [backup-simplify]: Simplify (* 1 1) into 1
10.232 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
10.232 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
10.232 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
10.232 * [taylor]: Taking taylor expansion of 1 in U
10.232 * [backup-simplify]: Simplify 1 into 1
10.233 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
10.233 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
10.233 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
10.233 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
10.233 * [backup-simplify]: Simplify (+ 0) into 0
10.234 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
10.234 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
10.234 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.234 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
10.235 * [backup-simplify]: Simplify (- 0) into 0
10.235 * [backup-simplify]: Simplify (+ 0 0) into 0
10.235 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
10.236 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.236 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
10.236 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
10.237 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
10.237 * [backup-simplify]: Simplify (+ 0 0) into 0
10.237 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
10.237 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J
10.237 * [taylor]: Taking taylor expansion of 1/2 in J
10.237 * [backup-simplify]: Simplify 1/2 into 1/2
10.237 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J
10.237 * [taylor]: Taking taylor expansion of J in J
10.237 * [backup-simplify]: Simplify 0 into 0
10.237 * [backup-simplify]: Simplify 1 into 1
10.237 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
10.237 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
10.237 * [taylor]: Taking taylor expansion of 1/2 in J
10.237 * [backup-simplify]: Simplify 1/2 into 1/2
10.237 * [taylor]: Taking taylor expansion of K in J
10.237 * [backup-simplify]: Simplify K into K
10.237 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
10.237 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
10.237 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
10.238 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
10.238 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
10.238 * [backup-simplify]: Simplify (- 0) into 0
10.238 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
10.238 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K)))
10.238 * [taylor]: Taking taylor expansion of 0 in J
10.238 * [backup-simplify]: Simplify 0 into 0
10.238 * [taylor]: Taking taylor expansion of 0 in K
10.238 * [backup-simplify]: Simplify 0 into 0
10.238 * [backup-simplify]: Simplify 0 into 0
10.238 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K)))
10.238 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K
10.238 * [taylor]: Taking taylor expansion of 1/2 in K
10.238 * [backup-simplify]: Simplify 1/2 into 1/2
10.238 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
10.238 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
10.238 * [taylor]: Taking taylor expansion of 1/2 in K
10.238 * [backup-simplify]: Simplify 1/2 into 1/2
10.238 * [taylor]: Taking taylor expansion of K in K
10.238 * [backup-simplify]: Simplify 0 into 0
10.238 * [backup-simplify]: Simplify 1 into 1
10.239 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
10.239 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
10.239 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
10.239 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
10.239 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
10.240 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.240 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
10.240 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
10.241 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.241 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
10.241 * [backup-simplify]: Simplify (- 0) into 0
10.241 * [backup-simplify]: Simplify (+ 0 0) into 0
10.242 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
10.242 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.243 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
10.243 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
10.244 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0
10.244 * [backup-simplify]: Simplify (+ 0 1) into 1
10.245 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J)
10.245 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
10.245 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
10.245 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
10.245 * [taylor]: Taking taylor expansion of 1/2 in J
10.245 * [backup-simplify]: Simplify 1/2 into 1/2
10.245 * [taylor]: Taking taylor expansion of K in J
10.245 * [backup-simplify]: Simplify K into K
10.245 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
10.245 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
10.245 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
10.245 * [taylor]: Taking taylor expansion of J in J
10.245 * [backup-simplify]: Simplify 0 into 0
10.245 * [backup-simplify]: Simplify 1 into 1
10.245 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
10.245 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
10.245 * [backup-simplify]: Simplify (- 0) into 0
10.245 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
10.245 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
10.246 * [backup-simplify]: Simplify (+ 0) into 0
10.246 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
10.246 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
10.246 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.247 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
10.247 * [backup-simplify]: Simplify (- 0) into 0
10.247 * [backup-simplify]: Simplify (+ 0 0) into 0
10.248 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0
10.248 * [taylor]: Taking taylor expansion of 0 in K
10.248 * [backup-simplify]: Simplify 0 into 0
10.248 * [backup-simplify]: Simplify 0 into 0
10.248 * [taylor]: Taking taylor expansion of 0 in K
10.248 * [backup-simplify]: Simplify 0 into 0
10.248 * [backup-simplify]: Simplify 0 into 0
10.248 * [backup-simplify]: Simplify (+ 0) into 0
10.249 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
10.249 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
10.249 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.249 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
10.250 * [backup-simplify]: Simplify (- 0) into 0
10.250 * [backup-simplify]: Simplify (+ 0 0) into 0
10.250 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
10.250 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0
10.250 * [taylor]: Taking taylor expansion of 0 in K
10.250 * [backup-simplify]: Simplify 0 into 0
10.250 * [backup-simplify]: Simplify 0 into 0
10.251 * [backup-simplify]: Simplify 0 into 0
10.251 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
10.251 * [backup-simplify]: Simplify 0 into 0
10.251 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
10.252 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
10.252 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.252 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
10.253 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
10.254 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
10.254 * [backup-simplify]: Simplify (- 0) into 0
10.254 * [backup-simplify]: Simplify (+ 0 0) into 0
10.255 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
10.255 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0
10.256 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
10.257 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
10.258 * [backup-simplify]: Simplify (+ 0 0) into 0
10.258 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0
10.258 * [taylor]: Taking taylor expansion of 0 in J
10.258 * [backup-simplify]: Simplify 0 into 0
10.258 * [taylor]: Taking taylor expansion of 0 in K
10.258 * [backup-simplify]: Simplify 0 into 0
10.258 * [backup-simplify]: Simplify 0 into 0
10.258 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
10.258 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))
10.258 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U J K) around 0
10.258 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K
10.258 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K
10.258 * [taylor]: Taking taylor expansion of 1 in K
10.259 * [backup-simplify]: Simplify 1 into 1
10.259 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
10.259 * [taylor]: Taking taylor expansion of 1/4 in K
10.259 * [backup-simplify]: Simplify 1/4 into 1/4
10.259 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
10.259 * [taylor]: Taking taylor expansion of (pow J 2) in K
10.259 * [taylor]: Taking taylor expansion of J in K
10.259 * [backup-simplify]: Simplify J into J
10.259 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
10.259 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
10.259 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
10.259 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
10.259 * [taylor]: Taking taylor expansion of -1/2 in K
10.259 * [backup-simplify]: Simplify -1/2 into -1/2
10.259 * [taylor]: Taking taylor expansion of K in K
10.259 * [backup-simplify]: Simplify 0 into 0
10.259 * [backup-simplify]: Simplify 1 into 1
10.259 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
10.259 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
10.259 * [taylor]: Taking taylor expansion of (pow U 2) in K
10.259 * [taylor]: Taking taylor expansion of U in K
10.259 * [backup-simplify]: Simplify U into U
10.259 * [backup-simplify]: Simplify (* J J) into (pow J 2)
10.259 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
10.259 * [backup-simplify]: Simplify (* U U) into (pow U 2)
10.259 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
10.260 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
10.260 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
10.260 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))
10.260 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))
10.260 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
10.260 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
10.260 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
10.261 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
10.261 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0
10.261 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
10.262 * [backup-simplify]: Simplify (+ 0 0) into 0
10.262 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0
10.262 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
10.262 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
10.262 * [taylor]: Taking taylor expansion of 1 in J
10.262 * [backup-simplify]: Simplify 1 into 1
10.262 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
10.262 * [taylor]: Taking taylor expansion of 1/4 in J
10.262 * [backup-simplify]: Simplify 1/4 into 1/4
10.262 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
10.262 * [taylor]: Taking taylor expansion of (pow J 2) in J
10.262 * [taylor]: Taking taylor expansion of J in J
10.262 * [backup-simplify]: Simplify 0 into 0
10.262 * [backup-simplify]: Simplify 1 into 1
10.262 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
10.262 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
10.262 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
10.262 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
10.262 * [taylor]: Taking taylor expansion of -1/2 in J
10.262 * [backup-simplify]: Simplify -1/2 into -1/2
10.262 * [taylor]: Taking taylor expansion of K in J
10.262 * [backup-simplify]: Simplify K into K
10.262 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
10.262 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
10.262 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
10.262 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
10.262 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
10.263 * [backup-simplify]: Simplify (- 0) into 0
10.263 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
10.263 * [taylor]: Taking taylor expansion of (pow U 2) in J
10.263 * [taylor]: Taking taylor expansion of U in J
10.263 * [backup-simplify]: Simplify U into U
10.263 * [backup-simplify]: Simplify (* 1 1) into 1
10.263 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
10.263 * [backup-simplify]: Simplify (* U U) into (pow U 2)
10.263 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
10.263 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
10.264 * [backup-simplify]: Simplify (+ 1 0) into 1
10.264 * [backup-simplify]: Simplify (sqrt 1) into 1
10.264 * [backup-simplify]: Simplify (+ 0 0) into 0
10.265 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.265 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
10.265 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
10.265 * [taylor]: Taking taylor expansion of 1 in U
10.265 * [backup-simplify]: Simplify 1 into 1
10.265 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
10.265 * [taylor]: Taking taylor expansion of 1/4 in U
10.265 * [backup-simplify]: Simplify 1/4 into 1/4
10.265 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
10.265 * [taylor]: Taking taylor expansion of (pow J 2) in U
10.265 * [taylor]: Taking taylor expansion of J in U
10.265 * [backup-simplify]: Simplify J into J
10.265 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
10.265 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
10.265 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
10.265 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
10.265 * [taylor]: Taking taylor expansion of -1/2 in U
10.265 * [backup-simplify]: Simplify -1/2 into -1/2
10.265 * [taylor]: Taking taylor expansion of K in U
10.265 * [backup-simplify]: Simplify K into K
10.266 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
10.266 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
10.266 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
10.266 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
10.266 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
10.266 * [backup-simplify]: Simplify (- 0) into 0
10.266 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
10.266 * [taylor]: Taking taylor expansion of (pow U 2) in U
10.266 * [taylor]: Taking taylor expansion of U in U
10.266 * [backup-simplify]: Simplify 0 into 0
10.266 * [backup-simplify]: Simplify 1 into 1
10.266 * [backup-simplify]: Simplify (* J J) into (pow J 2)
10.267 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
10.267 * [backup-simplify]: Simplify (* 1 1) into 1
10.267 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
10.267 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
10.267 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
10.268 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
10.268 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
10.268 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
10.269 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.269 * [backup-simplify]: Simplify (+ 0) into 0
10.269 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
10.270 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
10.270 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.271 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
10.271 * [backup-simplify]: Simplify (- 0) into 0
10.271 * [backup-simplify]: Simplify (+ 0 0) into 0
10.272 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
10.272 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
10.273 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
10.273 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
10.273 * [backup-simplify]: Simplify (+ 0 0) into 0
10.274 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
10.274 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
10.274 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
10.274 * [taylor]: Taking taylor expansion of 1 in U
10.274 * [backup-simplify]: Simplify 1 into 1
10.274 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
10.274 * [taylor]: Taking taylor expansion of 1/4 in U
10.274 * [backup-simplify]: Simplify 1/4 into 1/4
10.274 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
10.274 * [taylor]: Taking taylor expansion of (pow J 2) in U
10.274 * [taylor]: Taking taylor expansion of J in U
10.274 * [backup-simplify]: Simplify J into J
10.274 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
10.274 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
10.274 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
10.274 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
10.274 * [taylor]: Taking taylor expansion of -1/2 in U
10.274 * [backup-simplify]: Simplify -1/2 into -1/2
10.274 * [taylor]: Taking taylor expansion of K in U
10.274 * [backup-simplify]: Simplify K into K
10.274 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
10.274 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
10.274 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
10.274 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
10.275 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
10.275 * [backup-simplify]: Simplify (- 0) into 0
10.275 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
10.275 * [taylor]: Taking taylor expansion of (pow U 2) in U
10.275 * [taylor]: Taking taylor expansion of U in U
10.275 * [backup-simplify]: Simplify 0 into 0
10.275 * [backup-simplify]: Simplify 1 into 1
10.275 * [backup-simplify]: Simplify (* J J) into (pow J 2)
10.275 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
10.276 * [backup-simplify]: Simplify (* 1 1) into 1
10.276 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
10.276 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
10.276 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
10.276 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
10.276 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
10.276 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
10.277 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.277 * [backup-simplify]: Simplify (+ 0) into 0
10.277 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
10.277 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
10.278 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.278 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
10.278 * [backup-simplify]: Simplify (- 0) into 0
10.279 * [backup-simplify]: Simplify (+ 0 0) into 0
10.279 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
10.279 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
10.279 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
10.280 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
10.280 * [backup-simplify]: Simplify (+ 0 0) into 0
10.280 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
10.280 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J
10.280 * [taylor]: Taking taylor expansion of 1/2 in J
10.280 * [backup-simplify]: Simplify 1/2 into 1/2
10.280 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J
10.280 * [taylor]: Taking taylor expansion of J in J
10.280 * [backup-simplify]: Simplify 0 into 0
10.280 * [backup-simplify]: Simplify 1 into 1
10.280 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
10.280 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
10.280 * [taylor]: Taking taylor expansion of -1/2 in J
10.280 * [backup-simplify]: Simplify -1/2 into -1/2
10.280 * [taylor]: Taking taylor expansion of K in J
10.280 * [backup-simplify]: Simplify K into K
10.280 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
10.280 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
10.280 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
10.281 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
10.281 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
10.281 * [backup-simplify]: Simplify (- 0) into 0
10.281 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
10.281 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K)))
10.281 * [taylor]: Taking taylor expansion of 0 in J
10.281 * [backup-simplify]: Simplify 0 into 0
10.281 * [taylor]: Taking taylor expansion of 0 in K
10.281 * [backup-simplify]: Simplify 0 into 0
10.281 * [backup-simplify]: Simplify 0 into 0
10.281 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K)))
10.281 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K
10.281 * [taylor]: Taking taylor expansion of 1/2 in K
10.281 * [backup-simplify]: Simplify 1/2 into 1/2
10.281 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
10.281 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
10.281 * [taylor]: Taking taylor expansion of -1/2 in K
10.281 * [backup-simplify]: Simplify -1/2 into -1/2
10.281 * [taylor]: Taking taylor expansion of K in K
10.281 * [backup-simplify]: Simplify 0 into 0
10.281 * [backup-simplify]: Simplify 1 into 1
10.282 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
10.282 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
10.282 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
10.282 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
10.282 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
10.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.283 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.284 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
10.284 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
10.284 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.285 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
10.285 * [backup-simplify]: Simplify (- 0) into 0
10.288 * [backup-simplify]: Simplify (+ 0 0) into 0
10.289 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
10.289 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
10.289 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
10.290 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0
10.290 * [backup-simplify]: Simplify (+ 1 0) into 1
10.291 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J)
10.291 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
10.291 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
10.291 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
10.291 * [taylor]: Taking taylor expansion of -1/2 in J
10.291 * [backup-simplify]: Simplify -1/2 into -1/2
10.291 * [taylor]: Taking taylor expansion of K in J
10.291 * [backup-simplify]: Simplify K into K
10.291 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
10.291 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
10.291 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
10.291 * [taylor]: Taking taylor expansion of J in J
10.291 * [backup-simplify]: Simplify 0 into 0
10.291 * [backup-simplify]: Simplify 1 into 1
10.291 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
10.291 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
10.292 * [backup-simplify]: Simplify (- 0) into 0
10.292 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
10.292 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
10.292 * [backup-simplify]: Simplify (+ 0) into 0
10.292 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
10.292 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
10.293 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.293 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
10.293 * [backup-simplify]: Simplify (- 0) into 0
10.294 * [backup-simplify]: Simplify (+ 0 0) into 0
10.294 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0
10.294 * [taylor]: Taking taylor expansion of 0 in K
10.294 * [backup-simplify]: Simplify 0 into 0
10.294 * [backup-simplify]: Simplify 0 into 0
10.294 * [taylor]: Taking taylor expansion of 0 in K
10.294 * [backup-simplify]: Simplify 0 into 0
10.294 * [backup-simplify]: Simplify 0 into 0
10.294 * [backup-simplify]: Simplify (+ 0) into 0
10.295 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
10.295 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
10.295 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.296 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
10.296 * [backup-simplify]: Simplify (- 0) into 0
10.296 * [backup-simplify]: Simplify (+ 0 0) into 0
10.296 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
10.297 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0
10.297 * [taylor]: Taking taylor expansion of 0 in K
10.297 * [backup-simplify]: Simplify 0 into 0
10.297 * [backup-simplify]: Simplify 0 into 0
10.297 * [backup-simplify]: Simplify 0 into 0
10.297 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
10.297 * [backup-simplify]: Simplify 0 into 0
10.297 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
10.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.299 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
10.299 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.299 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
10.300 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
10.301 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
10.301 * [backup-simplify]: Simplify (- 0) into 0
10.301 * [backup-simplify]: Simplify (+ 0 0) into 0
10.302 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
10.302 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.303 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
10.304 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
10.304 * [backup-simplify]: Simplify (+ 0 0) into 0
10.304 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
10.304 * [taylor]: Taking taylor expansion of 0 in J
10.304 * [backup-simplify]: Simplify 0 into 0
10.304 * [taylor]: Taking taylor expansion of 0 in K
10.304 * [backup-simplify]: Simplify 0 into 0
10.304 * [backup-simplify]: Simplify 0 into 0
10.304 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
10.304 * * * [progress]: simplifying candidates
10.304 * * * * [progress]: [ 1 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (pow (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) 1/2)) (* (cos (/ K 2)) (* -2 J)))))))>
10.304 * * * * [progress]: [ 2 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (pow (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) 1)) (* (cos (/ K 2)) (* -2 J)))))))>
10.305 * * * * [progress]: [ 3 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (exp (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (cos (/ K 2)) (* -2 J)))))))>
10.305 * * * * [progress]: [ 4 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (log (exp (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (cos (/ K 2)) (* -2 J)))))))>
10.305 * * * * [progress]: [ 5 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (cos (/ K 2)) (* -2 J)))))))>
10.305 * * * * [progress]: [ 6 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (cos (/ K 2)) (* -2 J)))))))>
10.305 * * * * [progress]: [ 7 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (* (sqrt (* (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (sqrt (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (cos (/ K 2)) (* -2 J)))))))>
10.305 * * * * [progress]: [ 8 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (cos (/ K 2)) (* -2 J)))))))>
10.305 * * * * [progress]: [ 9 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (* (sqrt 1) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))))))>
10.305 * * * * [progress]: [ 10 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (/ (sqrt (+ (pow (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 3) (pow 1 3))) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))) (* (cos (/ K 2)) (* -2 J)))))))>
10.305 * * * * [progress]: [ 11 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (/ (sqrt (- (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* 1 1))) (sqrt (- (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))))))>
10.305 * * * * [progress]: [ 12 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (pow (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) (/ 1 2))) (* (cos (/ K 2)) (* -2 J)))))))>
10.305 * * * * [progress]: [ 13 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (cos (/ K 2)) (* -2 J)))))))>
10.305 * * * * [progress]: [ 14 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (fabs (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))))))>
10.305 * * * * [progress]: [ 15 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (* 1 (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))))))>
10.305 * * * * [progress]: [ 16 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (posit16->real (real->posit16 (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (cos (/ K 2)) (* -2 J)))))))>
10.305 * * * * [progress]: [ 17 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (pow (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) 1/2)) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
10.305 * * * * [progress]: [ 18 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (pow (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) 1)) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
10.305 * * * * [progress]: [ 19 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (exp (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
10.306 * * * * [progress]: [ 20 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (log (exp (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
10.306 * * * * [progress]: [ 21 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
10.306 * * * * [progress]: [ 22 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
10.306 * * * * [progress]: [ 23 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (* (sqrt (* (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (sqrt (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
10.306 * * * * [progress]: [ 24 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
10.306 * * * * [progress]: [ 25 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (* (sqrt 1) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
10.306 * * * * [progress]: [ 26 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (/ (sqrt (+ (pow (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 3) (pow 1 3))) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
10.306 * * * * [progress]: [ 27 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (/ (sqrt (- (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* 1 1))) (sqrt (- (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
10.306 * * * * [progress]: [ 28 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (pow (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) (/ 1 2))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
10.306 * * * * [progress]: [ 29 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
10.306 * * * * [progress]: [ 30 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (fabs (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
10.306 * * * * [progress]: [ 31 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (* 1 (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
10.306 * * * * [progress]: [ 32 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (posit16->real (real->posit16 (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
10.306 * * * * [progress]: [ 33 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (pow (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) 1/2) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
10.306 * * * * [progress]: [ 34 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (pow (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) 1) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
10.306 * * * * [progress]: [ 35 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (exp (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
10.306 * * * * [progress]: [ 36 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (log (exp (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
10.306 * * * * [progress]: [ 37 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
10.307 * * * * [progress]: [ 38 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
10.307 * * * * [progress]: [ 39 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (* (sqrt (* (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (sqrt (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
10.307 * * * * [progress]: [ 40 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
10.307 * * * * [progress]: [ 41 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (* (sqrt 1) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
10.307 * * * * [progress]: [ 42 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (/ (sqrt (+ (pow (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 3) (pow 1 3))) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
10.307 * * * * [progress]: [ 43 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (/ (sqrt (- (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* 1 1))) (sqrt (- (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
10.307 * * * * [progress]: [ 44 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (pow (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) (/ 1 2)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
10.307 * * * * [progress]: [ 45 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
10.307 * * * * [progress]: [ 46 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (fabs (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
10.307 * * * * [progress]: [ 47 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (* 1 (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
10.307 * * * * [progress]: [ 48 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (posit16->real (real->posit16 (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
10.307 * * * * [progress]: [ 49 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (pow (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) 1/2) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
10.307 * * * * [progress]: [ 50 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (pow (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) 1) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
10.307 * * * * [progress]: [ 51 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (exp (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
10.307 * * * * [progress]: [ 52 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (log (exp (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
10.307 * * * * [progress]: [ 53 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
10.307 * * * * [progress]: [ 54 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
10.307 * * * * [progress]: [ 55 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (* (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (sqrt (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
10.308 * * * * [progress]: [ 56 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
10.308 * * * * [progress]: [ 57 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt 1) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
10.308 * * * * [progress]: [ 58 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (/ (sqrt (+ (pow (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 3) (pow 1 3))) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
10.308 * * * * [progress]: [ 59 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (/ (sqrt (- (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* 1 1))) (sqrt (- (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
10.308 * * * * [progress]: [ 60 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (pow (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) (/ 1 2)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
10.308 * * * * [progress]: [ 61 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
10.308 * * * * [progress]: [ 62 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (fabs (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
10.308 * * * * [progress]: [ 63 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* 1 (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
10.308 * * * * [progress]: [ 64 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (posit16->real (real->posit16 (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
10.308 * * * * [progress]: [ 65 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt 1) (* (cos (/ K 2)) (* -2 J)))))))>
10.308 * * * * [progress]: [ 66 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) (* (cos (/ K 2)) (* -2 J)))))))>
10.309 * * * * [progress]: [ 67 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) (* (cos (/ K 2)) (* -2 J)))))))>
10.309 * * * * [progress]: [ 68 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt 1) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
10.309 * * * * [progress]: [ 69 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
10.309 * * * * [progress]: [ 70 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
10.309 * * * * [progress]: [ 71 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* 1 (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
10.309 * * * * [progress]: [ 72 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
10.309 * * * * [progress]: [ 73 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
10.309 * * * * [progress]: [ 74 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* 1 (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
10.309 * * * * [progress]: [ 75 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
10.309 * * * * [progress]: [ 76 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
10.311 * [simplify]: Simplifying:
  (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (exp (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))
  (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt (* (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))
  (sqrt (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt 1)
  (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))
  (sqrt (+ (pow (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 3) (pow 1 3)))
  (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))
  (sqrt (- (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* 1 1)))
  (sqrt (- (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))
  (/ 1 2)
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (real->posit16 (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (exp (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))
  (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt (* (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))
  (sqrt (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt 1)
  (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))
  (sqrt (+ (pow (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 3) (pow 1 3)))
  (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))
  (sqrt (- (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* 1 1)))
  (sqrt (- (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))
  (/ 1 2)
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (real->posit16 (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (exp (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))
  (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt (* (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))
  (sqrt (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt 1)
  (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))
  (sqrt (+ (pow (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 3) (pow 1 3)))
  (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))
  (sqrt (- (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* 1 1)))
  (sqrt (- (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))
  (/ 1 2)
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (real->posit16 (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (exp (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))
  (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt (* (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))
  (sqrt (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt 1)
  (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))
  (sqrt (+ (pow (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 3) (pow 1 3)))
  (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))
  (sqrt (- (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* 1 1)))
  (sqrt (- (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))
  (/ 1 2)
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (real->posit16 (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  1
  (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
  (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
  1
  (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
  (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
  1
  (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
  (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
  1
  (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
  (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
10.314 * * [simplify]: iteration 1: (48 enodes)
10.330 * * [simplify]: iteration 2: (94 enodes)
10.349 * * [simplify]: iteration 3: (251 enodes)
10.603 * * [simplify]: iteration 4: (1344 enodes)
16.963 * * [simplify]: Extracting #0: cost 17 inf + 0
16.963 * * [simplify]: Extracting #1: cost 47 inf + 2
16.964 * * [simplify]: Extracting #2: cost 213 inf + 161
16.972 * * [simplify]: Extracting #3: cost 1561 inf + 498
17.006 * * [simplify]: Extracting #4: cost 3501 inf + 37043
17.203 * * [simplify]: Extracting #5: cost 1428 inf + 802907
17.615 * * [simplify]: Extracting #6: cost 35 inf + 1339223
18.112 * * [simplify]: Extracting #7: cost 0 inf + 1344444
18.628 * * [simplify]: Extracting #8: cost 0 inf + 1344126
19.102 * [simplify]: Simplified to:
  (log (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1)))
  (exp (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1)))
  (* (cbrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1))) (cbrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1))))
  (cbrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1)))
  (* (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1)) (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1))
  (fabs (cbrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1)))
  (sqrt (cbrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1)))
  (sqrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1)))
  (sqrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1)))
  1
  (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1))
  (sqrt (+ (* (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) (* (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)))) 1))
  (sqrt (+ (* (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J))) (- 1 (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)))))
  (sqrt (- (* (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J))) 1))
  (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) -1))
  1/2
  (sqrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1)))
  (sqrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1)))
  (real->posit16 (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1)))
  (log (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1)))
  (exp (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1)))
  (* (cbrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1))) (cbrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1))))
  (cbrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1)))
  (* (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1)) (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1))
  (fabs (cbrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1)))
  (sqrt (cbrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1)))
  (sqrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1)))
  (sqrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1)))
  1
  (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1))
  (sqrt (+ (* (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) (* (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)))) 1))
  (sqrt (+ (* (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J))) (- 1 (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)))))
  (sqrt (- (* (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J))) 1))
  (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) -1))
  1/2
  (sqrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1)))
  (sqrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1)))
  (real->posit16 (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1)))
  (log (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1)))
  (exp (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1)))
  (* (cbrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1))) (cbrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1))))
  (cbrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1)))
  (* (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1)) (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1))
  (fabs (cbrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1)))
  (sqrt (cbrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1)))
  (sqrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1)))
  (sqrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1)))
  1
  (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1))
  (sqrt (+ (* (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) (* (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)))) 1))
  (sqrt (+ (* (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J))) (- 1 (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)))))
  (sqrt (- (* (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J))) 1))
  (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) -1))
  1/2
  (sqrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1)))
  (sqrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1)))
  (real->posit16 (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1)))
  (log (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1)))
  (exp (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1)))
  (* (cbrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1))) (cbrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1))))
  (cbrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1)))
  (* (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1)) (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1))
  (fabs (cbrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1)))
  (sqrt (cbrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1)))
  (sqrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1)))
  (sqrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1)))
  1
  (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1))
  (sqrt (+ (* (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) (* (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)))) 1))
  (sqrt (+ (* (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J))) (- 1 (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)))))
  (sqrt (- (* (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J))) 1))
  (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) -1))
  1/2
  (sqrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1)))
  (sqrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1)))
  (real->posit16 (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1)))
  1
  (/ 1/2 (* (/ J U) (cos (* 1/2 K))))
  (/ 1/2 (* (/ J U) (cos (* 1/2 K))))
  1
  (/ 1/2 (* (/ J U) (cos (* 1/2 K))))
  (/ 1/2 (* (/ J U) (cos (* 1/2 K))))
  1
  (/ 1/2 (* (/ J U) (cos (* 1/2 K))))
  (/ 1/2 (* (/ J U) (cos (* 1/2 K))))
  1
  (/ 1/2 (* (/ J U) (cos (* 1/2 K))))
  (/ 1/2 (* (/ J U) (cos (* 1/2 K))))
19.132 * * * [progress]: adding candidates to table
19.739 * * [progress]: iteration 4 / 4
19.739 * * * [progress]: picking best candidate
19.770 * * * * [pick]: Picked  #<alt (λ (J K U) (* (* (cbrt (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
19.770 * * * [progress]: localizing error
19.912 * * * [progress]: generating rewritten candidates
19.913 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 1)
20.098 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1)
20.240 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 1)
20.403 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1 2 1)
20.581 * * * [progress]: generating series expansions
20.581 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 1)
20.581 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))
20.581 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U J K) around 0
20.581 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K
20.581 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K
20.581 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
20.581 * [taylor]: Taking taylor expansion of 1/4 in K
20.581 * [backup-simplify]: Simplify 1/4 into 1/4
20.581 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
20.581 * [taylor]: Taking taylor expansion of (pow U 2) in K
20.581 * [taylor]: Taking taylor expansion of U in K
20.581 * [backup-simplify]: Simplify U into U
20.581 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
20.581 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
20.581 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
20.581 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
20.581 * [taylor]: Taking taylor expansion of 1/2 in K
20.581 * [backup-simplify]: Simplify 1/2 into 1/2
20.581 * [taylor]: Taking taylor expansion of K in K
20.581 * [backup-simplify]: Simplify 0 into 0
20.581 * [backup-simplify]: Simplify 1 into 1
20.582 * [backup-simplify]: Simplify (* 1/2 0) into 0
20.582 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
20.583 * [taylor]: Taking taylor expansion of (pow J 2) in K
20.583 * [taylor]: Taking taylor expansion of J in K
20.583 * [backup-simplify]: Simplify J into J
20.583 * [backup-simplify]: Simplify (* U U) into (pow U 2)
20.583 * [backup-simplify]: Simplify (* 1 1) into 1
20.583 * [backup-simplify]: Simplify (* J J) into (pow J 2)
20.583 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
20.583 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
20.583 * [taylor]: Taking taylor expansion of 1 in K
20.583 * [backup-simplify]: Simplify 1 into 1
20.583 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2)))
20.583 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
20.583 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
20.583 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
20.584 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
20.584 * [backup-simplify]: Simplify (+ 0) into 0
20.584 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
20.585 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
20.585 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
20.585 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0
20.585 * [backup-simplify]: Simplify (+ 0 0) into 0
20.586 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
20.586 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J
20.586 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J
20.586 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
20.586 * [taylor]: Taking taylor expansion of 1/4 in J
20.586 * [backup-simplify]: Simplify 1/4 into 1/4
20.586 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
20.586 * [taylor]: Taking taylor expansion of (pow U 2) in J
20.586 * [taylor]: Taking taylor expansion of U in J
20.586 * [backup-simplify]: Simplify U into U
20.586 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
20.586 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
20.586 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
20.586 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
20.586 * [taylor]: Taking taylor expansion of 1/2 in J
20.586 * [backup-simplify]: Simplify 1/2 into 1/2
20.586 * [taylor]: Taking taylor expansion of K in J
20.586 * [backup-simplify]: Simplify K into K
20.586 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
20.586 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
20.586 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
20.586 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
20.586 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
20.586 * [backup-simplify]: Simplify (- 0) into 0
20.586 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
20.586 * [taylor]: Taking taylor expansion of (pow J 2) in J
20.587 * [taylor]: Taking taylor expansion of J in J
20.587 * [backup-simplify]: Simplify 0 into 0
20.587 * [backup-simplify]: Simplify 1 into 1
20.587 * [backup-simplify]: Simplify (* U U) into (pow U 2)
20.587 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
20.587 * [backup-simplify]: Simplify (* 1 1) into 1
20.587 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
20.587 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
20.587 * [taylor]: Taking taylor expansion of 1 in J
20.587 * [backup-simplify]: Simplify 1 into 1
20.587 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
20.587 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
20.588 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
20.588 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
20.588 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
20.589 * [backup-simplify]: Simplify (+ 0) into 0
20.589 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
20.590 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
20.591 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
20.591 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
20.592 * [backup-simplify]: Simplify (- 0) into 0
20.592 * [backup-simplify]: Simplify (+ 0 0) into 0
20.592 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
20.593 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
20.593 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
20.594 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0
20.594 * [backup-simplify]: Simplify (+ 0 0) into 0
20.594 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
20.595 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
20.595 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
20.595 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
20.595 * [taylor]: Taking taylor expansion of 1/4 in U
20.595 * [backup-simplify]: Simplify 1/4 into 1/4
20.595 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
20.595 * [taylor]: Taking taylor expansion of (pow U 2) in U
20.595 * [taylor]: Taking taylor expansion of U in U
20.595 * [backup-simplify]: Simplify 0 into 0
20.595 * [backup-simplify]: Simplify 1 into 1
20.595 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
20.595 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
20.595 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
20.595 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
20.595 * [taylor]: Taking taylor expansion of 1/2 in U
20.595 * [backup-simplify]: Simplify 1/2 into 1/2
20.595 * [taylor]: Taking taylor expansion of K in U
20.595 * [backup-simplify]: Simplify K into K
20.595 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
20.595 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
20.595 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
20.595 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
20.595 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
20.598 * [backup-simplify]: Simplify (- 0) into 0
20.598 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
20.598 * [taylor]: Taking taylor expansion of (pow J 2) in U
20.598 * [taylor]: Taking taylor expansion of J in U
20.598 * [backup-simplify]: Simplify J into J
20.598 * [backup-simplify]: Simplify (* 1 1) into 1
20.598 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
20.599 * [backup-simplify]: Simplify (* J J) into (pow J 2)
20.599 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
20.599 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
20.599 * [taylor]: Taking taylor expansion of 1 in U
20.599 * [backup-simplify]: Simplify 1 into 1
20.599 * [backup-simplify]: Simplify (+ 0 1) into 1
20.600 * [backup-simplify]: Simplify (sqrt 1) into 1
20.600 * [backup-simplify]: Simplify (+ 0 0) into 0
20.601 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
20.601 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
20.601 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
20.601 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
20.601 * [taylor]: Taking taylor expansion of 1/4 in U
20.601 * [backup-simplify]: Simplify 1/4 into 1/4
20.601 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
20.601 * [taylor]: Taking taylor expansion of (pow U 2) in U
20.601 * [taylor]: Taking taylor expansion of U in U
20.601 * [backup-simplify]: Simplify 0 into 0
20.601 * [backup-simplify]: Simplify 1 into 1
20.601 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
20.601 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
20.601 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
20.601 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
20.601 * [taylor]: Taking taylor expansion of 1/2 in U
20.601 * [backup-simplify]: Simplify 1/2 into 1/2
20.602 * [taylor]: Taking taylor expansion of K in U
20.602 * [backup-simplify]: Simplify K into K
20.602 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
20.602 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
20.602 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
20.602 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
20.602 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
20.602 * [backup-simplify]: Simplify (- 0) into 0
20.602 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
20.602 * [taylor]: Taking taylor expansion of (pow J 2) in U
20.602 * [taylor]: Taking taylor expansion of J in U
20.602 * [backup-simplify]: Simplify J into J
20.603 * [backup-simplify]: Simplify (* 1 1) into 1
20.603 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
20.603 * [backup-simplify]: Simplify (* J J) into (pow J 2)
20.603 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
20.603 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
20.603 * [taylor]: Taking taylor expansion of 1 in U
20.603 * [backup-simplify]: Simplify 1 into 1
20.604 * [backup-simplify]: Simplify (+ 0 1) into 1
20.604 * [backup-simplify]: Simplify (sqrt 1) into 1
20.605 * [backup-simplify]: Simplify (+ 0 0) into 0
20.605 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
20.605 * [taylor]: Taking taylor expansion of 1 in J
20.605 * [backup-simplify]: Simplify 1 into 1
20.605 * [taylor]: Taking taylor expansion of 0 in J
20.605 * [backup-simplify]: Simplify 0 into 0
20.605 * [taylor]: Taking taylor expansion of 1 in K
20.605 * [backup-simplify]: Simplify 1 into 1
20.605 * [backup-simplify]: Simplify 1 into 1
20.606 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
20.606 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
20.607 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
20.607 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
20.607 * [taylor]: Taking taylor expansion of 1/8 in J
20.607 * [backup-simplify]: Simplify 1/8 into 1/8
20.607 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
20.607 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
20.607 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
20.607 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
20.607 * [taylor]: Taking taylor expansion of 1/2 in J
20.607 * [backup-simplify]: Simplify 1/2 into 1/2
20.608 * [taylor]: Taking taylor expansion of K in J
20.608 * [backup-simplify]: Simplify K into K
20.608 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
20.608 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
20.608 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
20.608 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
20.608 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
20.608 * [backup-simplify]: Simplify (- 0) into 0
20.608 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
20.608 * [taylor]: Taking taylor expansion of (pow J 2) in J
20.608 * [taylor]: Taking taylor expansion of J in J
20.608 * [backup-simplify]: Simplify 0 into 0
20.608 * [backup-simplify]: Simplify 1 into 1
20.609 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
20.609 * [backup-simplify]: Simplify (* 1 1) into 1
20.609 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
20.609 * [backup-simplify]: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2))
20.610 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
20.610 * [backup-simplify]: Simplify (+ 0) into 0
20.610 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
20.611 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
20.612 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
20.612 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
20.612 * [backup-simplify]: Simplify (- 0) into 0
20.613 * [backup-simplify]: Simplify (+ 0 0) into 0
20.613 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
20.613 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
20.614 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
20.614 * [taylor]: Taking taylor expansion of 0 in K
20.614 * [backup-simplify]: Simplify 0 into 0
20.614 * [backup-simplify]: Simplify 0 into 0
20.614 * [taylor]: Taking taylor expansion of 0 in K
20.614 * [backup-simplify]: Simplify 0 into 0
20.614 * [backup-simplify]: Simplify 0 into 0
20.614 * [taylor]: Taking taylor expansion of 0 in K
20.614 * [backup-simplify]: Simplify 0 into 0
20.614 * [backup-simplify]: Simplify 0 into 0
20.614 * [backup-simplify]: Simplify 0 into 0
20.615 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
20.615 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
20.615 * [backup-simplify]: Simplify (+ 0) into 0
20.616 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
20.616 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
20.617 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
20.617 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
20.618 * [backup-simplify]: Simplify (- 0) into 0
20.618 * [backup-simplify]: Simplify (+ 0 0) into 0
20.618 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
20.618 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0
20.619 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
20.619 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0
20.620 * [backup-simplify]: Simplify (+ 0 0) into 0
20.621 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0
20.621 * [taylor]: Taking taylor expansion of 0 in J
20.621 * [backup-simplify]: Simplify 0 into 0
20.622 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
20.623 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
20.624 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
20.624 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
20.625 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
20.625 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
20.625 * [backup-simplify]: Simplify (- 0) into 0
20.626 * [backup-simplify]: Simplify (+ 0 0) into 0
20.626 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0
20.626 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
20.627 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
20.627 * [taylor]: Taking taylor expansion of 0 in K
20.627 * [backup-simplify]: Simplify 0 into 0
20.627 * [backup-simplify]: Simplify 0 into 0
20.627 * [taylor]: Taking taylor expansion of 0 in K
20.627 * [backup-simplify]: Simplify 0 into 0
20.627 * [backup-simplify]: Simplify 0 into 0
20.627 * [backup-simplify]: Simplify 1 into 1
20.627 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
20.627 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U J K) around 0
20.627 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K
20.627 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K
20.627 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
20.628 * [taylor]: Taking taylor expansion of 1/4 in K
20.628 * [backup-simplify]: Simplify 1/4 into 1/4
20.628 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
20.628 * [taylor]: Taking taylor expansion of (pow J 2) in K
20.628 * [taylor]: Taking taylor expansion of J in K
20.628 * [backup-simplify]: Simplify J into J
20.628 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
20.628 * [taylor]: Taking taylor expansion of (pow U 2) in K
20.628 * [taylor]: Taking taylor expansion of U in K
20.628 * [backup-simplify]: Simplify U into U
20.628 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
20.628 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
20.628 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
20.628 * [taylor]: Taking taylor expansion of 1/2 in K
20.628 * [backup-simplify]: Simplify 1/2 into 1/2
20.628 * [taylor]: Taking taylor expansion of K in K
20.628 * [backup-simplify]: Simplify 0 into 0
20.628 * [backup-simplify]: Simplify 1 into 1
20.628 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
20.628 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
20.628 * [backup-simplify]: Simplify (* J J) into (pow J 2)
20.628 * [backup-simplify]: Simplify (* U U) into (pow U 2)
20.628 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
20.628 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
20.628 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
20.629 * [taylor]: Taking taylor expansion of 1 in K
20.629 * [backup-simplify]: Simplify 1 into 1
20.629 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))
20.629 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)
20.629 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
20.629 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
20.629 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
20.629 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
20.629 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
20.630 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
20.630 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
20.631 * [backup-simplify]: Simplify (+ 0 0) into 0
20.631 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
20.631 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
20.631 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
20.631 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
20.631 * [taylor]: Taking taylor expansion of 1/4 in J
20.631 * [backup-simplify]: Simplify 1/4 into 1/4
20.631 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
20.631 * [taylor]: Taking taylor expansion of (pow J 2) in J
20.631 * [taylor]: Taking taylor expansion of J in J
20.631 * [backup-simplify]: Simplify 0 into 0
20.631 * [backup-simplify]: Simplify 1 into 1
20.631 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
20.631 * [taylor]: Taking taylor expansion of (pow U 2) in J
20.631 * [taylor]: Taking taylor expansion of U in J
20.631 * [backup-simplify]: Simplify U into U
20.631 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
20.631 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
20.631 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
20.631 * [taylor]: Taking taylor expansion of 1/2 in J
20.631 * [backup-simplify]: Simplify 1/2 into 1/2
20.631 * [taylor]: Taking taylor expansion of K in J
20.631 * [backup-simplify]: Simplify K into K
20.631 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
20.631 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
20.631 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
20.631 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
20.631 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
20.632 * [backup-simplify]: Simplify (- 0) into 0
20.632 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
20.632 * [backup-simplify]: Simplify (* 1 1) into 1
20.632 * [backup-simplify]: Simplify (* U U) into (pow U 2)
20.632 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
20.632 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
20.632 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
20.632 * [taylor]: Taking taylor expansion of 1 in J
20.632 * [backup-simplify]: Simplify 1 into 1
20.633 * [backup-simplify]: Simplify (+ 0 1) into 1
20.633 * [backup-simplify]: Simplify (sqrt 1) into 1
20.633 * [backup-simplify]: Simplify (+ 0 0) into 0
20.634 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
20.634 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
20.634 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
20.634 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
20.634 * [taylor]: Taking taylor expansion of 1/4 in U
20.634 * [backup-simplify]: Simplify 1/4 into 1/4
20.634 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
20.634 * [taylor]: Taking taylor expansion of (pow J 2) in U
20.634 * [taylor]: Taking taylor expansion of J in U
20.634 * [backup-simplify]: Simplify J into J
20.634 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
20.634 * [taylor]: Taking taylor expansion of (pow U 2) in U
20.634 * [taylor]: Taking taylor expansion of U in U
20.634 * [backup-simplify]: Simplify 0 into 0
20.634 * [backup-simplify]: Simplify 1 into 1
20.634 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
20.634 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
20.634 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
20.634 * [taylor]: Taking taylor expansion of 1/2 in U
20.634 * [backup-simplify]: Simplify 1/2 into 1/2
20.634 * [taylor]: Taking taylor expansion of K in U
20.634 * [backup-simplify]: Simplify K into K
20.634 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
20.634 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
20.634 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
20.634 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
20.634 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
20.635 * [backup-simplify]: Simplify (- 0) into 0
20.635 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
20.635 * [backup-simplify]: Simplify (* J J) into (pow J 2)
20.635 * [backup-simplify]: Simplify (* 1 1) into 1
20.635 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
20.635 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
20.635 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
20.635 * [taylor]: Taking taylor expansion of 1 in U
20.635 * [backup-simplify]: Simplify 1 into 1
20.636 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
20.636 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
20.636 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
20.636 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
20.636 * [backup-simplify]: Simplify (+ 0) into 0
20.637 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
20.637 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
20.637 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
20.638 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
20.638 * [backup-simplify]: Simplify (- 0) into 0
20.638 * [backup-simplify]: Simplify (+ 0 0) into 0
20.638 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
20.638 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
20.639 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
20.639 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
20.639 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
20.640 * [backup-simplify]: Simplify (+ 0 0) into 0
20.640 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
20.640 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
20.640 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
20.640 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
20.640 * [taylor]: Taking taylor expansion of 1/4 in U
20.640 * [backup-simplify]: Simplify 1/4 into 1/4
20.640 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
20.640 * [taylor]: Taking taylor expansion of (pow J 2) in U
20.640 * [taylor]: Taking taylor expansion of J in U
20.640 * [backup-simplify]: Simplify J into J
20.640 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
20.640 * [taylor]: Taking taylor expansion of (pow U 2) in U
20.640 * [taylor]: Taking taylor expansion of U in U
20.640 * [backup-simplify]: Simplify 0 into 0
20.640 * [backup-simplify]: Simplify 1 into 1
20.640 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
20.640 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
20.640 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
20.640 * [taylor]: Taking taylor expansion of 1/2 in U
20.640 * [backup-simplify]: Simplify 1/2 into 1/2
20.640 * [taylor]: Taking taylor expansion of K in U
20.640 * [backup-simplify]: Simplify K into K
20.640 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
20.640 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
20.640 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
20.640 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
20.640 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
20.641 * [backup-simplify]: Simplify (- 0) into 0
20.641 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
20.641 * [backup-simplify]: Simplify (* J J) into (pow J 2)
20.641 * [backup-simplify]: Simplify (* 1 1) into 1
20.641 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
20.641 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
20.641 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
20.641 * [taylor]: Taking taylor expansion of 1 in U
20.641 * [backup-simplify]: Simplify 1 into 1
20.641 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
20.642 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
20.642 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
20.642 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
20.642 * [backup-simplify]: Simplify (+ 0) into 0
20.642 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
20.642 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
20.643 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
20.643 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
20.643 * [backup-simplify]: Simplify (- 0) into 0
20.644 * [backup-simplify]: Simplify (+ 0 0) into 0
20.644 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
20.644 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
20.645 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
20.645 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
20.645 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
20.645 * [backup-simplify]: Simplify (+ 0 0) into 0
20.646 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
20.646 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J
20.646 * [taylor]: Taking taylor expansion of 1/2 in J
20.646 * [backup-simplify]: Simplify 1/2 into 1/2
20.646 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J
20.646 * [taylor]: Taking taylor expansion of J in J
20.646 * [backup-simplify]: Simplify 0 into 0
20.646 * [backup-simplify]: Simplify 1 into 1
20.646 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
20.646 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
20.646 * [taylor]: Taking taylor expansion of 1/2 in J
20.646 * [backup-simplify]: Simplify 1/2 into 1/2
20.646 * [taylor]: Taking taylor expansion of K in J
20.646 * [backup-simplify]: Simplify K into K
20.646 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
20.646 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
20.646 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
20.646 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
20.646 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
20.646 * [backup-simplify]: Simplify (- 0) into 0
20.646 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
20.646 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K)))
20.646 * [taylor]: Taking taylor expansion of 0 in J
20.646 * [backup-simplify]: Simplify 0 into 0
20.646 * [taylor]: Taking taylor expansion of 0 in K
20.646 * [backup-simplify]: Simplify 0 into 0
20.646 * [backup-simplify]: Simplify 0 into 0
20.647 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K)))
20.647 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K
20.647 * [taylor]: Taking taylor expansion of 1/2 in K
20.647 * [backup-simplify]: Simplify 1/2 into 1/2
20.647 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
20.647 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
20.647 * [taylor]: Taking taylor expansion of 1/2 in K
20.647 * [backup-simplify]: Simplify 1/2 into 1/2
20.647 * [taylor]: Taking taylor expansion of K in K
20.647 * [backup-simplify]: Simplify 0 into 0
20.647 * [backup-simplify]: Simplify 1 into 1
20.647 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
20.647 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
20.647 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
20.647 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
20.647 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
20.648 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
20.648 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
20.648 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
20.649 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
20.649 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
20.650 * [backup-simplify]: Simplify (- 0) into 0
20.650 * [backup-simplify]: Simplify (+ 0 0) into 0
20.650 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
20.651 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
20.651 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
20.651 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
20.652 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0
20.653 * [backup-simplify]: Simplify (+ 0 1) into 1
20.654 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J)
20.654 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
20.654 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
20.654 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
20.654 * [taylor]: Taking taylor expansion of 1/2 in J
20.654 * [backup-simplify]: Simplify 1/2 into 1/2
20.654 * [taylor]: Taking taylor expansion of K in J
20.654 * [backup-simplify]: Simplify K into K
20.654 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
20.654 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
20.654 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
20.654 * [taylor]: Taking taylor expansion of J in J
20.654 * [backup-simplify]: Simplify 0 into 0
20.654 * [backup-simplify]: Simplify 1 into 1
20.654 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
20.654 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
20.655 * [backup-simplify]: Simplify (- 0) into 0
20.655 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
20.655 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
20.655 * [backup-simplify]: Simplify (+ 0) into 0
20.656 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
20.656 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
20.657 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
20.657 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
20.657 * [backup-simplify]: Simplify (- 0) into 0
20.658 * [backup-simplify]: Simplify (+ 0 0) into 0
20.659 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0
20.659 * [taylor]: Taking taylor expansion of 0 in K
20.659 * [backup-simplify]: Simplify 0 into 0
20.659 * [backup-simplify]: Simplify 0 into 0
20.659 * [taylor]: Taking taylor expansion of 0 in K
20.659 * [backup-simplify]: Simplify 0 into 0
20.659 * [backup-simplify]: Simplify 0 into 0
20.660 * [backup-simplify]: Simplify (+ 0) into 0
20.660 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
20.660 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
20.661 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
20.661 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
20.662 * [backup-simplify]: Simplify (- 0) into 0
20.662 * [backup-simplify]: Simplify (+ 0 0) into 0
20.662 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
20.663 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0
20.663 * [taylor]: Taking taylor expansion of 0 in K
20.663 * [backup-simplify]: Simplify 0 into 0
20.663 * [backup-simplify]: Simplify 0 into 0
20.663 * [backup-simplify]: Simplify 0 into 0
20.663 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
20.663 * [backup-simplify]: Simplify 0 into 0
20.664 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
20.665 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
20.666 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
20.666 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
20.668 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
20.669 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
20.669 * [backup-simplify]: Simplify (- 0) into 0
20.669 * [backup-simplify]: Simplify (+ 0 0) into 0
20.670 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
20.671 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
20.673 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0
20.673 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
20.674 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
20.675 * [backup-simplify]: Simplify (+ 0 0) into 0
20.675 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0
20.675 * [taylor]: Taking taylor expansion of 0 in J
20.675 * [backup-simplify]: Simplify 0 into 0
20.675 * [taylor]: Taking taylor expansion of 0 in K
20.675 * [backup-simplify]: Simplify 0 into 0
20.675 * [backup-simplify]: Simplify 0 into 0
20.675 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
20.676 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))
20.676 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U J K) around 0
20.676 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K
20.676 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K
20.676 * [taylor]: Taking taylor expansion of 1 in K
20.676 * [backup-simplify]: Simplify 1 into 1
20.676 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
20.676 * [taylor]: Taking taylor expansion of 1/4 in K
20.676 * [backup-simplify]: Simplify 1/4 into 1/4
20.676 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
20.676 * [taylor]: Taking taylor expansion of (pow J 2) in K
20.676 * [taylor]: Taking taylor expansion of J in K
20.676 * [backup-simplify]: Simplify J into J
20.676 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
20.676 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
20.676 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
20.676 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
20.677 * [taylor]: Taking taylor expansion of -1/2 in K
20.677 * [backup-simplify]: Simplify -1/2 into -1/2
20.677 * [taylor]: Taking taylor expansion of K in K
20.677 * [backup-simplify]: Simplify 0 into 0
20.677 * [backup-simplify]: Simplify 1 into 1
20.677 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
20.677 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
20.677 * [taylor]: Taking taylor expansion of (pow U 2) in K
20.677 * [taylor]: Taking taylor expansion of U in K
20.677 * [backup-simplify]: Simplify U into U
20.677 * [backup-simplify]: Simplify (* J J) into (pow J 2)
20.677 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
20.677 * [backup-simplify]: Simplify (* U U) into (pow U 2)
20.678 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
20.678 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
20.678 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
20.678 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))
20.679 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))
20.679 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
20.679 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
20.679 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
20.679 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
20.680 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0
20.681 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
20.681 * [backup-simplify]: Simplify (+ 0 0) into 0
20.682 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0
20.682 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
20.682 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
20.682 * [taylor]: Taking taylor expansion of 1 in J
20.682 * [backup-simplify]: Simplify 1 into 1
20.682 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
20.682 * [taylor]: Taking taylor expansion of 1/4 in J
20.682 * [backup-simplify]: Simplify 1/4 into 1/4
20.682 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
20.682 * [taylor]: Taking taylor expansion of (pow J 2) in J
20.682 * [taylor]: Taking taylor expansion of J in J
20.682 * [backup-simplify]: Simplify 0 into 0
20.682 * [backup-simplify]: Simplify 1 into 1
20.682 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
20.682 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
20.682 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
20.682 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
20.682 * [taylor]: Taking taylor expansion of -1/2 in J
20.683 * [backup-simplify]: Simplify -1/2 into -1/2
20.683 * [taylor]: Taking taylor expansion of K in J
20.683 * [backup-simplify]: Simplify K into K
20.683 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
20.683 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
20.683 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
20.683 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
20.683 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
20.683 * [backup-simplify]: Simplify (- 0) into 0
20.683 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
20.683 * [taylor]: Taking taylor expansion of (pow U 2) in J
20.684 * [taylor]: Taking taylor expansion of U in J
20.684 * [backup-simplify]: Simplify U into U
20.684 * [backup-simplify]: Simplify (* 1 1) into 1
20.684 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
20.684 * [backup-simplify]: Simplify (* U U) into (pow U 2)
20.684 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
20.684 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
20.685 * [backup-simplify]: Simplify (+ 1 0) into 1
20.685 * [backup-simplify]: Simplify (sqrt 1) into 1
20.686 * [backup-simplify]: Simplify (+ 0 0) into 0
20.686 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
20.686 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
20.686 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
20.687 * [taylor]: Taking taylor expansion of 1 in U
20.687 * [backup-simplify]: Simplify 1 into 1
20.687 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
20.687 * [taylor]: Taking taylor expansion of 1/4 in U
20.687 * [backup-simplify]: Simplify 1/4 into 1/4
20.687 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
20.687 * [taylor]: Taking taylor expansion of (pow J 2) in U
20.687 * [taylor]: Taking taylor expansion of J in U
20.687 * [backup-simplify]: Simplify J into J
20.687 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
20.687 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
20.687 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
20.687 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
20.687 * [taylor]: Taking taylor expansion of -1/2 in U
20.687 * [backup-simplify]: Simplify -1/2 into -1/2
20.687 * [taylor]: Taking taylor expansion of K in U
20.687 * [backup-simplify]: Simplify K into K
20.687 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
20.687 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
20.687 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
20.687 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
20.687 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
20.688 * [backup-simplify]: Simplify (- 0) into 0
20.688 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
20.688 * [taylor]: Taking taylor expansion of (pow U 2) in U
20.688 * [taylor]: Taking taylor expansion of U in U
20.688 * [backup-simplify]: Simplify 0 into 0
20.688 * [backup-simplify]: Simplify 1 into 1
20.688 * [backup-simplify]: Simplify (* J J) into (pow J 2)
20.688 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
20.689 * [backup-simplify]: Simplify (* 1 1) into 1
20.689 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
20.689 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
20.689 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
20.689 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
20.690 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
20.690 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
20.690 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
20.691 * [backup-simplify]: Simplify (+ 0) into 0
20.691 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
20.692 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
20.692 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
20.693 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
20.693 * [backup-simplify]: Simplify (- 0) into 0
20.694 * [backup-simplify]: Simplify (+ 0 0) into 0
20.694 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
20.694 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
20.695 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
20.695 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
20.696 * [backup-simplify]: Simplify (+ 0 0) into 0
20.696 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
20.696 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
20.696 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
20.696 * [taylor]: Taking taylor expansion of 1 in U
20.696 * [backup-simplify]: Simplify 1 into 1
20.696 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
20.696 * [taylor]: Taking taylor expansion of 1/4 in U
20.696 * [backup-simplify]: Simplify 1/4 into 1/4
20.696 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
20.696 * [taylor]: Taking taylor expansion of (pow J 2) in U
20.696 * [taylor]: Taking taylor expansion of J in U
20.696 * [backup-simplify]: Simplify J into J
20.696 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
20.696 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
20.696 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
20.696 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
20.696 * [taylor]: Taking taylor expansion of -1/2 in U
20.696 * [backup-simplify]: Simplify -1/2 into -1/2
20.697 * [taylor]: Taking taylor expansion of K in U
20.697 * [backup-simplify]: Simplify K into K
20.697 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
20.697 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
20.697 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
20.697 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
20.697 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
20.697 * [backup-simplify]: Simplify (- 0) into 0
20.697 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
20.697 * [taylor]: Taking taylor expansion of (pow U 2) in U
20.697 * [taylor]: Taking taylor expansion of U in U
20.698 * [backup-simplify]: Simplify 0 into 0
20.698 * [backup-simplify]: Simplify 1 into 1
20.698 * [backup-simplify]: Simplify (* J J) into (pow J 2)
20.698 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
20.698 * [backup-simplify]: Simplify (* 1 1) into 1
20.698 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
20.698 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
20.699 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
20.699 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
20.699 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
20.699 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
20.700 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
20.700 * [backup-simplify]: Simplify (+ 0) into 0
20.701 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
20.701 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
20.702 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
20.702 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
20.703 * [backup-simplify]: Simplify (- 0) into 0
20.703 * [backup-simplify]: Simplify (+ 0 0) into 0
20.703 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
20.704 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
20.704 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
20.705 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
20.705 * [backup-simplify]: Simplify (+ 0 0) into 0
20.705 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
20.706 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J
20.706 * [taylor]: Taking taylor expansion of 1/2 in J
20.706 * [backup-simplify]: Simplify 1/2 into 1/2
20.706 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J
20.706 * [taylor]: Taking taylor expansion of J in J
20.706 * [backup-simplify]: Simplify 0 into 0
20.706 * [backup-simplify]: Simplify 1 into 1
20.706 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
20.706 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
20.706 * [taylor]: Taking taylor expansion of -1/2 in J
20.706 * [backup-simplify]: Simplify -1/2 into -1/2
20.706 * [taylor]: Taking taylor expansion of K in J
20.706 * [backup-simplify]: Simplify K into K
20.706 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
20.706 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
20.706 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
20.706 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
20.706 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
20.707 * [backup-simplify]: Simplify (- 0) into 0
20.707 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
20.707 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K)))
20.707 * [taylor]: Taking taylor expansion of 0 in J
20.707 * [backup-simplify]: Simplify 0 into 0
20.707 * [taylor]: Taking taylor expansion of 0 in K
20.707 * [backup-simplify]: Simplify 0 into 0
20.707 * [backup-simplify]: Simplify 0 into 0
20.707 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K)))
20.707 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K
20.707 * [taylor]: Taking taylor expansion of 1/2 in K
20.707 * [backup-simplify]: Simplify 1/2 into 1/2
20.707 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
20.707 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
20.707 * [taylor]: Taking taylor expansion of -1/2 in K
20.707 * [backup-simplify]: Simplify -1/2 into -1/2
20.707 * [taylor]: Taking taylor expansion of K in K
20.707 * [backup-simplify]: Simplify 0 into 0
20.708 * [backup-simplify]: Simplify 1 into 1
20.708 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
20.708 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
20.708 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
20.708 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
20.709 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
20.710 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
20.711 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
20.711 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
20.711 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
20.712 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
20.713 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
20.713 * [backup-simplify]: Simplify (- 0) into 0
20.714 * [backup-simplify]: Simplify (+ 0 0) into 0
20.714 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
20.715 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
20.715 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
20.716 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0
20.717 * [backup-simplify]: Simplify (+ 1 0) into 1
20.718 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J)
20.718 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
20.718 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
20.718 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
20.718 * [taylor]: Taking taylor expansion of -1/2 in J
20.718 * [backup-simplify]: Simplify -1/2 into -1/2
20.718 * [taylor]: Taking taylor expansion of K in J
20.718 * [backup-simplify]: Simplify K into K
20.718 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
20.718 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
20.718 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
20.718 * [taylor]: Taking taylor expansion of J in J
20.718 * [backup-simplify]: Simplify 0 into 0
20.718 * [backup-simplify]: Simplify 1 into 1
20.718 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
20.718 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
20.719 * [backup-simplify]: Simplify (- 0) into 0
20.719 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
20.719 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
20.719 * [backup-simplify]: Simplify (+ 0) into 0
20.720 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
20.720 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
20.720 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
20.721 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
20.721 * [backup-simplify]: Simplify (- 0) into 0
20.721 * [backup-simplify]: Simplify (+ 0 0) into 0
20.722 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0
20.722 * [taylor]: Taking taylor expansion of 0 in K
20.722 * [backup-simplify]: Simplify 0 into 0
20.722 * [backup-simplify]: Simplify 0 into 0
20.722 * [taylor]: Taking taylor expansion of 0 in K
20.722 * [backup-simplify]: Simplify 0 into 0
20.722 * [backup-simplify]: Simplify 0 into 0
20.723 * [backup-simplify]: Simplify (+ 0) into 0
20.723 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
20.723 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
20.724 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
20.724 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
20.725 * [backup-simplify]: Simplify (- 0) into 0
20.725 * [backup-simplify]: Simplify (+ 0 0) into 0
20.725 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
20.726 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0
20.726 * [taylor]: Taking taylor expansion of 0 in K
20.726 * [backup-simplify]: Simplify 0 into 0
20.726 * [backup-simplify]: Simplify 0 into 0
20.726 * [backup-simplify]: Simplify 0 into 0
20.726 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
20.726 * [backup-simplify]: Simplify 0 into 0
20.727 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
20.730 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
20.731 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
20.732 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
20.732 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
20.733 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
20.734 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
20.734 * [backup-simplify]: Simplify (- 0) into 0
20.735 * [backup-simplify]: Simplify (+ 0 0) into 0
20.736 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
20.736 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
20.737 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
20.737 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
20.738 * [backup-simplify]: Simplify (+ 0 0) into 0
20.738 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
20.738 * [taylor]: Taking taylor expansion of 0 in J
20.738 * [backup-simplify]: Simplify 0 into 0
20.738 * [taylor]: Taking taylor expansion of 0 in K
20.738 * [backup-simplify]: Simplify 0 into 0
20.738 * [backup-simplify]: Simplify 0 into 0
20.738 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
20.738 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1)
20.738 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))
20.738 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U J K) around 0
20.738 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K
20.738 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K
20.738 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
20.738 * [taylor]: Taking taylor expansion of 1/4 in K
20.738 * [backup-simplify]: Simplify 1/4 into 1/4
20.738 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
20.739 * [taylor]: Taking taylor expansion of (pow U 2) in K
20.739 * [taylor]: Taking taylor expansion of U in K
20.739 * [backup-simplify]: Simplify U into U
20.739 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
20.739 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
20.739 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
20.739 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
20.739 * [taylor]: Taking taylor expansion of 1/2 in K
20.739 * [backup-simplify]: Simplify 1/2 into 1/2
20.739 * [taylor]: Taking taylor expansion of K in K
20.739 * [backup-simplify]: Simplify 0 into 0
20.739 * [backup-simplify]: Simplify 1 into 1
20.739 * [backup-simplify]: Simplify (* 1/2 0) into 0
20.739 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
20.739 * [taylor]: Taking taylor expansion of (pow J 2) in K
20.739 * [taylor]: Taking taylor expansion of J in K
20.739 * [backup-simplify]: Simplify J into J
20.739 * [backup-simplify]: Simplify (* U U) into (pow U 2)
20.740 * [backup-simplify]: Simplify (* 1 1) into 1
20.740 * [backup-simplify]: Simplify (* J J) into (pow J 2)
20.740 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
20.740 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
20.740 * [taylor]: Taking taylor expansion of 1 in K
20.740 * [backup-simplify]: Simplify 1 into 1
20.740 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2)))
20.740 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
20.740 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
20.740 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
20.740 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
20.741 * [backup-simplify]: Simplify (+ 0) into 0
20.741 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
20.741 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
20.742 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
20.742 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0
20.742 * [backup-simplify]: Simplify (+ 0 0) into 0
20.742 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
20.742 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J
20.742 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J
20.742 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
20.742 * [taylor]: Taking taylor expansion of 1/4 in J
20.742 * [backup-simplify]: Simplify 1/4 into 1/4
20.742 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
20.742 * [taylor]: Taking taylor expansion of (pow U 2) in J
20.742 * [taylor]: Taking taylor expansion of U in J
20.742 * [backup-simplify]: Simplify U into U
20.742 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
20.742 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
20.742 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
20.743 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
20.743 * [taylor]: Taking taylor expansion of 1/2 in J
20.743 * [backup-simplify]: Simplify 1/2 into 1/2
20.743 * [taylor]: Taking taylor expansion of K in J
20.743 * [backup-simplify]: Simplify K into K
20.743 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
20.743 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
20.743 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
20.743 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
20.743 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
20.743 * [backup-simplify]: Simplify (- 0) into 0
20.743 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
20.743 * [taylor]: Taking taylor expansion of (pow J 2) in J
20.743 * [taylor]: Taking taylor expansion of J in J
20.743 * [backup-simplify]: Simplify 0 into 0
20.743 * [backup-simplify]: Simplify 1 into 1
20.743 * [backup-simplify]: Simplify (* U U) into (pow U 2)
20.743 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
20.743 * [backup-simplify]: Simplify (* 1 1) into 1
20.744 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
20.744 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
20.744 * [taylor]: Taking taylor expansion of 1 in J
20.744 * [backup-simplify]: Simplify 1 into 1
20.744 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
20.744 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
20.744 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
20.744 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
20.745 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
20.745 * [backup-simplify]: Simplify (+ 0) into 0
20.745 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
20.745 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
20.746 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
20.746 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
20.746 * [backup-simplify]: Simplify (- 0) into 0
20.747 * [backup-simplify]: Simplify (+ 0 0) into 0
20.747 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
20.747 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
20.747 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
20.748 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0
20.748 * [backup-simplify]: Simplify (+ 0 0) into 0
20.748 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
20.748 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
20.748 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
20.748 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
20.748 * [taylor]: Taking taylor expansion of 1/4 in U
20.748 * [backup-simplify]: Simplify 1/4 into 1/4
20.748 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
20.748 * [taylor]: Taking taylor expansion of (pow U 2) in U
20.748 * [taylor]: Taking taylor expansion of U in U
20.748 * [backup-simplify]: Simplify 0 into 0
20.748 * [backup-simplify]: Simplify 1 into 1
20.748 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
20.748 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
20.748 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
20.748 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
20.748 * [taylor]: Taking taylor expansion of 1/2 in U
20.749 * [backup-simplify]: Simplify 1/2 into 1/2
20.749 * [taylor]: Taking taylor expansion of K in U
20.749 * [backup-simplify]: Simplify K into K
20.749 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
20.749 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
20.749 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
20.749 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
20.749 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
20.749 * [backup-simplify]: Simplify (- 0) into 0
20.749 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
20.749 * [taylor]: Taking taylor expansion of (pow J 2) in U
20.749 * [taylor]: Taking taylor expansion of J in U
20.749 * [backup-simplify]: Simplify J into J
20.749 * [backup-simplify]: Simplify (* 1 1) into 1
20.749 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
20.749 * [backup-simplify]: Simplify (* J J) into (pow J 2)
20.750 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
20.750 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
20.750 * [taylor]: Taking taylor expansion of 1 in U
20.750 * [backup-simplify]: Simplify 1 into 1
20.750 * [backup-simplify]: Simplify (+ 0 1) into 1
20.750 * [backup-simplify]: Simplify (sqrt 1) into 1
20.751 * [backup-simplify]: Simplify (+ 0 0) into 0
20.751 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
20.751 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
20.751 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
20.751 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
20.751 * [taylor]: Taking taylor expansion of 1/4 in U
20.751 * [backup-simplify]: Simplify 1/4 into 1/4
20.751 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
20.751 * [taylor]: Taking taylor expansion of (pow U 2) in U
20.752 * [taylor]: Taking taylor expansion of U in U
20.752 * [backup-simplify]: Simplify 0 into 0
20.752 * [backup-simplify]: Simplify 1 into 1
20.752 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
20.752 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
20.752 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
20.752 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
20.752 * [taylor]: Taking taylor expansion of 1/2 in U
20.752 * [backup-simplify]: Simplify 1/2 into 1/2
20.752 * [taylor]: Taking taylor expansion of K in U
20.752 * [backup-simplify]: Simplify K into K
20.752 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
20.752 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
20.752 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
20.752 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
20.752 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
20.752 * [backup-simplify]: Simplify (- 0) into 0
20.752 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
20.752 * [taylor]: Taking taylor expansion of (pow J 2) in U
20.752 * [taylor]: Taking taylor expansion of J in U
20.752 * [backup-simplify]: Simplify J into J
20.753 * [backup-simplify]: Simplify (* 1 1) into 1
20.753 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
20.753 * [backup-simplify]: Simplify (* J J) into (pow J 2)
20.753 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
20.753 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
20.753 * [taylor]: Taking taylor expansion of 1 in U
20.753 * [backup-simplify]: Simplify 1 into 1
20.753 * [backup-simplify]: Simplify (+ 0 1) into 1
20.753 * [backup-simplify]: Simplify (sqrt 1) into 1
20.754 * [backup-simplify]: Simplify (+ 0 0) into 0
20.754 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
20.754 * [taylor]: Taking taylor expansion of 1 in J
20.754 * [backup-simplify]: Simplify 1 into 1
20.754 * [taylor]: Taking taylor expansion of 0 in J
20.754 * [backup-simplify]: Simplify 0 into 0
20.754 * [taylor]: Taking taylor expansion of 1 in K
20.754 * [backup-simplify]: Simplify 1 into 1
20.754 * [backup-simplify]: Simplify 1 into 1
20.755 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
20.755 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
20.756 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
20.756 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
20.756 * [taylor]: Taking taylor expansion of 1/8 in J
20.756 * [backup-simplify]: Simplify 1/8 into 1/8
20.756 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
20.756 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
20.756 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
20.756 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
20.756 * [taylor]: Taking taylor expansion of 1/2 in J
20.756 * [backup-simplify]: Simplify 1/2 into 1/2
20.756 * [taylor]: Taking taylor expansion of K in J
20.756 * [backup-simplify]: Simplify K into K
20.756 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
20.756 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
20.756 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
20.757 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
20.757 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
20.757 * [backup-simplify]: Simplify (- 0) into 0
20.757 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
20.757 * [taylor]: Taking taylor expansion of (pow J 2) in J
20.757 * [taylor]: Taking taylor expansion of J in J
20.757 * [backup-simplify]: Simplify 0 into 0
20.757 * [backup-simplify]: Simplify 1 into 1
20.757 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
20.758 * [backup-simplify]: Simplify (* 1 1) into 1
20.758 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
20.758 * [backup-simplify]: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2))
20.758 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
20.759 * [backup-simplify]: Simplify (+ 0) into 0
20.759 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
20.760 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
20.760 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
20.761 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
20.761 * [backup-simplify]: Simplify (- 0) into 0
20.761 * [backup-simplify]: Simplify (+ 0 0) into 0
20.762 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
20.762 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
20.762 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
20.762 * [taylor]: Taking taylor expansion of 0 in K
20.762 * [backup-simplify]: Simplify 0 into 0
20.763 * [backup-simplify]: Simplify 0 into 0
20.763 * [taylor]: Taking taylor expansion of 0 in K
20.763 * [backup-simplify]: Simplify 0 into 0
20.763 * [backup-simplify]: Simplify 0 into 0
20.763 * [taylor]: Taking taylor expansion of 0 in K
20.763 * [backup-simplify]: Simplify 0 into 0
20.763 * [backup-simplify]: Simplify 0 into 0
20.763 * [backup-simplify]: Simplify 0 into 0
20.763 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
20.763 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
20.764 * [backup-simplify]: Simplify (+ 0) into 0
20.764 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
20.765 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
20.765 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
20.766 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
20.766 * [backup-simplify]: Simplify (- 0) into 0
20.767 * [backup-simplify]: Simplify (+ 0 0) into 0
20.767 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
20.767 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0
20.767 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
20.768 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0
20.768 * [backup-simplify]: Simplify (+ 0 0) into 0
20.769 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0
20.769 * [taylor]: Taking taylor expansion of 0 in J
20.769 * [backup-simplify]: Simplify 0 into 0
20.770 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
20.771 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
20.771 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
20.772 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
20.773 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
20.773 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
20.774 * [backup-simplify]: Simplify (- 0) into 0
20.774 * [backup-simplify]: Simplify (+ 0 0) into 0
20.774 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0
20.775 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
20.775 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
20.776 * [taylor]: Taking taylor expansion of 0 in K
20.776 * [backup-simplify]: Simplify 0 into 0
20.776 * [backup-simplify]: Simplify 0 into 0
20.776 * [taylor]: Taking taylor expansion of 0 in K
20.776 * [backup-simplify]: Simplify 0 into 0
20.776 * [backup-simplify]: Simplify 0 into 0
20.776 * [backup-simplify]: Simplify 1 into 1
20.776 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
20.776 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U J K) around 0
20.776 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K
20.776 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K
20.776 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
20.776 * [taylor]: Taking taylor expansion of 1/4 in K
20.776 * [backup-simplify]: Simplify 1/4 into 1/4
20.776 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
20.777 * [taylor]: Taking taylor expansion of (pow J 2) in K
20.777 * [taylor]: Taking taylor expansion of J in K
20.777 * [backup-simplify]: Simplify J into J
20.777 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
20.777 * [taylor]: Taking taylor expansion of (pow U 2) in K
20.777 * [taylor]: Taking taylor expansion of U in K
20.777 * [backup-simplify]: Simplify U into U
20.777 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
20.777 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
20.777 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
20.777 * [taylor]: Taking taylor expansion of 1/2 in K
20.777 * [backup-simplify]: Simplify 1/2 into 1/2
20.777 * [taylor]: Taking taylor expansion of K in K
20.777 * [backup-simplify]: Simplify 0 into 0
20.777 * [backup-simplify]: Simplify 1 into 1
20.777 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
20.777 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
20.777 * [backup-simplify]: Simplify (* J J) into (pow J 2)
20.778 * [backup-simplify]: Simplify (* U U) into (pow U 2)
20.778 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
20.778 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
20.778 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
20.778 * [taylor]: Taking taylor expansion of 1 in K
20.778 * [backup-simplify]: Simplify 1 into 1
20.778 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))
20.779 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)
20.779 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
20.779 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
20.779 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
20.779 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
20.779 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
20.780 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
20.781 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
20.781 * [backup-simplify]: Simplify (+ 0 0) into 0
20.781 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
20.781 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
20.782 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
20.782 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
20.782 * [taylor]: Taking taylor expansion of 1/4 in J
20.782 * [backup-simplify]: Simplify 1/4 into 1/4
20.782 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
20.782 * [taylor]: Taking taylor expansion of (pow J 2) in J
20.782 * [taylor]: Taking taylor expansion of J in J
20.782 * [backup-simplify]: Simplify 0 into 0
20.782 * [backup-simplify]: Simplify 1 into 1
20.782 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
20.782 * [taylor]: Taking taylor expansion of (pow U 2) in J
20.782 * [taylor]: Taking taylor expansion of U in J
20.782 * [backup-simplify]: Simplify U into U
20.782 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
20.782 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
20.782 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
20.782 * [taylor]: Taking taylor expansion of 1/2 in J
20.782 * [backup-simplify]: Simplify 1/2 into 1/2
20.782 * [taylor]: Taking taylor expansion of K in J
20.782 * [backup-simplify]: Simplify K into K
20.782 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
20.782 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
20.782 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
20.782 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
20.782 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
20.783 * [backup-simplify]: Simplify (- 0) into 0
20.783 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
20.783 * [backup-simplify]: Simplify (* 1 1) into 1
20.783 * [backup-simplify]: Simplify (* U U) into (pow U 2)
20.783 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
20.783 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
20.784 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
20.784 * [taylor]: Taking taylor expansion of 1 in J
20.784 * [backup-simplify]: Simplify 1 into 1
20.784 * [backup-simplify]: Simplify (+ 0 1) into 1
20.784 * [backup-simplify]: Simplify (sqrt 1) into 1
20.785 * [backup-simplify]: Simplify (+ 0 0) into 0
20.785 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
20.785 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
20.785 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
20.785 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
20.786 * [taylor]: Taking taylor expansion of 1/4 in U
20.786 * [backup-simplify]: Simplify 1/4 into 1/4
20.786 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
20.786 * [taylor]: Taking taylor expansion of (pow J 2) in U
20.786 * [taylor]: Taking taylor expansion of J in U
20.786 * [backup-simplify]: Simplify J into J
20.786 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
20.786 * [taylor]: Taking taylor expansion of (pow U 2) in U
20.786 * [taylor]: Taking taylor expansion of U in U
20.786 * [backup-simplify]: Simplify 0 into 0
20.786 * [backup-simplify]: Simplify 1 into 1
20.786 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
20.786 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
20.786 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
20.786 * [taylor]: Taking taylor expansion of 1/2 in U
20.786 * [backup-simplify]: Simplify 1/2 into 1/2
20.786 * [taylor]: Taking taylor expansion of K in U
20.786 * [backup-simplify]: Simplify K into K
20.786 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
20.786 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
20.786 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
20.786 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
20.786 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
20.787 * [backup-simplify]: Simplify (- 0) into 0
20.787 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
20.787 * [backup-simplify]: Simplify (* J J) into (pow J 2)
20.787 * [backup-simplify]: Simplify (* 1 1) into 1
20.787 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
20.787 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
20.787 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
20.788 * [taylor]: Taking taylor expansion of 1 in U
20.788 * [backup-simplify]: Simplify 1 into 1
20.788 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
20.788 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
20.788 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
20.788 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
20.789 * [backup-simplify]: Simplify (+ 0) into 0
20.789 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
20.789 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
20.790 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
20.790 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
20.790 * [backup-simplify]: Simplify (- 0) into 0
20.791 * [backup-simplify]: Simplify (+ 0 0) into 0
20.791 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
20.791 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
20.792 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
20.792 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
20.792 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
20.792 * [backup-simplify]: Simplify (+ 0 0) into 0
20.793 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
20.793 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
20.793 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
20.793 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
20.793 * [taylor]: Taking taylor expansion of 1/4 in U
20.793 * [backup-simplify]: Simplify 1/4 into 1/4
20.793 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
20.793 * [taylor]: Taking taylor expansion of (pow J 2) in U
20.793 * [taylor]: Taking taylor expansion of J in U
20.793 * [backup-simplify]: Simplify J into J
20.793 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
20.793 * [taylor]: Taking taylor expansion of (pow U 2) in U
20.793 * [taylor]: Taking taylor expansion of U in U
20.793 * [backup-simplify]: Simplify 0 into 0
20.793 * [backup-simplify]: Simplify 1 into 1
20.793 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
20.793 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
20.793 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
20.793 * [taylor]: Taking taylor expansion of 1/2 in U
20.793 * [backup-simplify]: Simplify 1/2 into 1/2
20.793 * [taylor]: Taking taylor expansion of K in U
20.793 * [backup-simplify]: Simplify K into K
20.793 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
20.793 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
20.793 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
20.793 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
20.793 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
20.793 * [backup-simplify]: Simplify (- 0) into 0
20.793 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
20.794 * [backup-simplify]: Simplify (* J J) into (pow J 2)
20.794 * [backup-simplify]: Simplify (* 1 1) into 1
20.794 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
20.794 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
20.794 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
20.794 * [taylor]: Taking taylor expansion of 1 in U
20.794 * [backup-simplify]: Simplify 1 into 1
20.794 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
20.794 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
20.794 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
20.794 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
20.795 * [backup-simplify]: Simplify (+ 0) into 0
20.795 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
20.795 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
20.796 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
20.796 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
20.796 * [backup-simplify]: Simplify (- 0) into 0
20.796 * [backup-simplify]: Simplify (+ 0 0) into 0
20.796 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
20.797 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
20.797 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
20.797 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
20.798 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
20.798 * [backup-simplify]: Simplify (+ 0 0) into 0
20.798 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
20.798 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J
20.798 * [taylor]: Taking taylor expansion of 1/2 in J
20.798 * [backup-simplify]: Simplify 1/2 into 1/2
20.798 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J
20.798 * [taylor]: Taking taylor expansion of J in J
20.798 * [backup-simplify]: Simplify 0 into 0
20.798 * [backup-simplify]: Simplify 1 into 1
20.798 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
20.798 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
20.798 * [taylor]: Taking taylor expansion of 1/2 in J
20.798 * [backup-simplify]: Simplify 1/2 into 1/2
20.798 * [taylor]: Taking taylor expansion of K in J
20.798 * [backup-simplify]: Simplify K into K
20.798 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
20.798 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
20.799 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
20.799 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
20.799 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
20.799 * [backup-simplify]: Simplify (- 0) into 0
20.799 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
20.799 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K)))
20.799 * [taylor]: Taking taylor expansion of 0 in J
20.799 * [backup-simplify]: Simplify 0 into 0
20.799 * [taylor]: Taking taylor expansion of 0 in K
20.799 * [backup-simplify]: Simplify 0 into 0
20.799 * [backup-simplify]: Simplify 0 into 0
20.799 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K)))
20.799 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K
20.799 * [taylor]: Taking taylor expansion of 1/2 in K
20.799 * [backup-simplify]: Simplify 1/2 into 1/2
20.799 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
20.799 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
20.799 * [taylor]: Taking taylor expansion of 1/2 in K
20.799 * [backup-simplify]: Simplify 1/2 into 1/2
20.799 * [taylor]: Taking taylor expansion of K in K
20.799 * [backup-simplify]: Simplify 0 into 0
20.799 * [backup-simplify]: Simplify 1 into 1
20.800 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
20.800 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
20.800 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
20.800 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
20.800 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
20.801 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
20.801 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
20.801 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
20.802 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
20.802 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
20.802 * [backup-simplify]: Simplify (- 0) into 0
20.802 * [backup-simplify]: Simplify (+ 0 0) into 0
20.803 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
20.803 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
20.804 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
20.804 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
20.805 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0
20.805 * [backup-simplify]: Simplify (+ 0 1) into 1
20.806 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J)
20.806 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
20.806 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
20.806 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
20.806 * [taylor]: Taking taylor expansion of 1/2 in J
20.806 * [backup-simplify]: Simplify 1/2 into 1/2
20.806 * [taylor]: Taking taylor expansion of K in J
20.806 * [backup-simplify]: Simplify K into K
20.806 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
20.806 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
20.806 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
20.806 * [taylor]: Taking taylor expansion of J in J
20.806 * [backup-simplify]: Simplify 0 into 0
20.806 * [backup-simplify]: Simplify 1 into 1
20.806 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
20.806 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
20.807 * [backup-simplify]: Simplify (- 0) into 0
20.807 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
20.807 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
20.807 * [backup-simplify]: Simplify (+ 0) into 0
20.808 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
20.808 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
20.808 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
20.809 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
20.809 * [backup-simplify]: Simplify (- 0) into 0
20.809 * [backup-simplify]: Simplify (+ 0 0) into 0
20.810 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0
20.810 * [taylor]: Taking taylor expansion of 0 in K
20.810 * [backup-simplify]: Simplify 0 into 0
20.810 * [backup-simplify]: Simplify 0 into 0
20.810 * [taylor]: Taking taylor expansion of 0 in K
20.810 * [backup-simplify]: Simplify 0 into 0
20.810 * [backup-simplify]: Simplify 0 into 0
20.811 * [backup-simplify]: Simplify (+ 0) into 0
20.811 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
20.811 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
20.812 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
20.812 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
20.813 * [backup-simplify]: Simplify (- 0) into 0
20.813 * [backup-simplify]: Simplify (+ 0 0) into 0
20.813 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
20.814 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0
20.814 * [taylor]: Taking taylor expansion of 0 in K
20.814 * [backup-simplify]: Simplify 0 into 0
20.814 * [backup-simplify]: Simplify 0 into 0
20.814 * [backup-simplify]: Simplify 0 into 0
20.814 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
20.814 * [backup-simplify]: Simplify 0 into 0
20.815 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
20.816 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
20.817 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
20.817 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
20.818 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
20.819 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
20.819 * [backup-simplify]: Simplify (- 0) into 0
20.820 * [backup-simplify]: Simplify (+ 0 0) into 0
20.820 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
20.821 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
20.822 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0
20.823 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
20.824 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
20.824 * [backup-simplify]: Simplify (+ 0 0) into 0
20.825 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0
20.825 * [taylor]: Taking taylor expansion of 0 in J
20.825 * [backup-simplify]: Simplify 0 into 0
20.825 * [taylor]: Taking taylor expansion of 0 in K
20.825 * [backup-simplify]: Simplify 0 into 0
20.825 * [backup-simplify]: Simplify 0 into 0
20.825 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
20.825 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))
20.826 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U J K) around 0
20.826 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K
20.826 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K
20.826 * [taylor]: Taking taylor expansion of 1 in K
20.826 * [backup-simplify]: Simplify 1 into 1
20.826 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
20.826 * [taylor]: Taking taylor expansion of 1/4 in K
20.826 * [backup-simplify]: Simplify 1/4 into 1/4
20.826 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
20.826 * [taylor]: Taking taylor expansion of (pow J 2) in K
20.826 * [taylor]: Taking taylor expansion of J in K
20.826 * [backup-simplify]: Simplify J into J
20.826 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
20.826 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
20.826 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
20.826 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
20.826 * [taylor]: Taking taylor expansion of -1/2 in K
20.826 * [backup-simplify]: Simplify -1/2 into -1/2
20.826 * [taylor]: Taking taylor expansion of K in K
20.826 * [backup-simplify]: Simplify 0 into 0
20.826 * [backup-simplify]: Simplify 1 into 1
20.826 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
20.826 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
20.827 * [taylor]: Taking taylor expansion of (pow U 2) in K
20.827 * [taylor]: Taking taylor expansion of U in K
20.827 * [backup-simplify]: Simplify U into U
20.827 * [backup-simplify]: Simplify (* J J) into (pow J 2)
20.827 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
20.827 * [backup-simplify]: Simplify (* U U) into (pow U 2)
20.827 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
20.827 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
20.827 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
20.828 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))
20.828 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))
20.828 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
20.828 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
20.828 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
20.829 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
20.829 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0
20.830 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
20.830 * [backup-simplify]: Simplify (+ 0 0) into 0
20.830 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0
20.831 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
20.831 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
20.831 * [taylor]: Taking taylor expansion of 1 in J
20.831 * [backup-simplify]: Simplify 1 into 1
20.831 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
20.831 * [taylor]: Taking taylor expansion of 1/4 in J
20.831 * [backup-simplify]: Simplify 1/4 into 1/4
20.831 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
20.831 * [taylor]: Taking taylor expansion of (pow J 2) in J
20.831 * [taylor]: Taking taylor expansion of J in J
20.831 * [backup-simplify]: Simplify 0 into 0
20.831 * [backup-simplify]: Simplify 1 into 1
20.831 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
20.831 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
20.831 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
20.831 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
20.831 * [taylor]: Taking taylor expansion of -1/2 in J
20.831 * [backup-simplify]: Simplify -1/2 into -1/2
20.831 * [taylor]: Taking taylor expansion of K in J
20.831 * [backup-simplify]: Simplify K into K
20.831 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
20.831 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
20.831 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
20.831 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
20.831 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
20.832 * [backup-simplify]: Simplify (- 0) into 0
20.832 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
20.832 * [taylor]: Taking taylor expansion of (pow U 2) in J
20.832 * [taylor]: Taking taylor expansion of U in J
20.832 * [backup-simplify]: Simplify U into U
20.832 * [backup-simplify]: Simplify (* 1 1) into 1
20.832 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
20.832 * [backup-simplify]: Simplify (* U U) into (pow U 2)
20.833 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
20.833 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
20.833 * [backup-simplify]: Simplify (+ 1 0) into 1
20.833 * [backup-simplify]: Simplify (sqrt 1) into 1
20.834 * [backup-simplify]: Simplify (+ 0 0) into 0
20.834 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
20.834 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
20.834 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
20.834 * [taylor]: Taking taylor expansion of 1 in U
20.835 * [backup-simplify]: Simplify 1 into 1
20.835 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
20.835 * [taylor]: Taking taylor expansion of 1/4 in U
20.835 * [backup-simplify]: Simplify 1/4 into 1/4
20.835 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
20.835 * [taylor]: Taking taylor expansion of (pow J 2) in U
20.835 * [taylor]: Taking taylor expansion of J in U
20.835 * [backup-simplify]: Simplify J into J
20.835 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
20.835 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
20.835 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
20.835 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
20.835 * [taylor]: Taking taylor expansion of -1/2 in U
20.835 * [backup-simplify]: Simplify -1/2 into -1/2
20.835 * [taylor]: Taking taylor expansion of K in U
20.835 * [backup-simplify]: Simplify K into K
20.835 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
20.835 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
20.835 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
20.835 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
20.835 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
20.836 * [backup-simplify]: Simplify (- 0) into 0
20.836 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
20.836 * [taylor]: Taking taylor expansion of (pow U 2) in U
20.836 * [taylor]: Taking taylor expansion of U in U
20.836 * [backup-simplify]: Simplify 0 into 0
20.836 * [backup-simplify]: Simplify 1 into 1
20.836 * [backup-simplify]: Simplify (* J J) into (pow J 2)
20.836 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
20.836 * [backup-simplify]: Simplify (* 1 1) into 1
20.836 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
20.837 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
20.837 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
20.837 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
20.837 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
20.837 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
20.838 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
20.838 * [backup-simplify]: Simplify (+ 0) into 0
20.839 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
20.839 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
20.840 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
20.840 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
20.840 * [backup-simplify]: Simplify (- 0) into 0
20.841 * [backup-simplify]: Simplify (+ 0 0) into 0
20.841 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
20.841 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
20.842 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
20.842 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
20.843 * [backup-simplify]: Simplify (+ 0 0) into 0
20.843 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
20.843 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
20.843 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
20.843 * [taylor]: Taking taylor expansion of 1 in U
20.843 * [backup-simplify]: Simplify 1 into 1
20.843 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
20.843 * [taylor]: Taking taylor expansion of 1/4 in U
20.843 * [backup-simplify]: Simplify 1/4 into 1/4
20.843 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
20.843 * [taylor]: Taking taylor expansion of (pow J 2) in U
20.843 * [taylor]: Taking taylor expansion of J in U
20.843 * [backup-simplify]: Simplify J into J
20.843 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
20.843 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
20.843 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
20.843 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
20.843 * [taylor]: Taking taylor expansion of -1/2 in U
20.843 * [backup-simplify]: Simplify -1/2 into -1/2
20.843 * [taylor]: Taking taylor expansion of K in U
20.843 * [backup-simplify]: Simplify K into K
20.844 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
20.844 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
20.844 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
20.844 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
20.844 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
20.844 * [backup-simplify]: Simplify (- 0) into 0
20.844 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
20.844 * [taylor]: Taking taylor expansion of (pow U 2) in U
20.844 * [taylor]: Taking taylor expansion of U in U
20.844 * [backup-simplify]: Simplify 0 into 0
20.844 * [backup-simplify]: Simplify 1 into 1
20.844 * [backup-simplify]: Simplify (* J J) into (pow J 2)
20.845 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
20.845 * [backup-simplify]: Simplify (* 1 1) into 1
20.845 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
20.845 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
20.845 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
20.846 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
20.846 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
20.846 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
20.846 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
20.847 * [backup-simplify]: Simplify (+ 0) into 0
20.849 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
20.849 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
20.850 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
20.850 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
20.851 * [backup-simplify]: Simplify (- 0) into 0
20.851 * [backup-simplify]: Simplify (+ 0 0) into 0
20.851 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
20.852 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
20.852 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
20.853 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
20.853 * [backup-simplify]: Simplify (+ 0 0) into 0
20.853 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
20.853 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J
20.853 * [taylor]: Taking taylor expansion of 1/2 in J
20.853 * [backup-simplify]: Simplify 1/2 into 1/2
20.853 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J
20.854 * [taylor]: Taking taylor expansion of J in J
20.854 * [backup-simplify]: Simplify 0 into 0
20.854 * [backup-simplify]: Simplify 1 into 1
20.854 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
20.854 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
20.854 * [taylor]: Taking taylor expansion of -1/2 in J
20.854 * [backup-simplify]: Simplify -1/2 into -1/2
20.854 * [taylor]: Taking taylor expansion of K in J
20.854 * [backup-simplify]: Simplify K into K
20.854 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
20.854 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
20.854 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
20.854 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
20.854 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
20.854 * [backup-simplify]: Simplify (- 0) into 0
20.854 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
20.855 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K)))
20.855 * [taylor]: Taking taylor expansion of 0 in J
20.855 * [backup-simplify]: Simplify 0 into 0
20.855 * [taylor]: Taking taylor expansion of 0 in K
20.855 * [backup-simplify]: Simplify 0 into 0
20.855 * [backup-simplify]: Simplify 0 into 0
20.855 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K)))
20.855 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K
20.855 * [taylor]: Taking taylor expansion of 1/2 in K
20.855 * [backup-simplify]: Simplify 1/2 into 1/2
20.855 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
20.855 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
20.855 * [taylor]: Taking taylor expansion of -1/2 in K
20.855 * [backup-simplify]: Simplify -1/2 into -1/2
20.855 * [taylor]: Taking taylor expansion of K in K
20.855 * [backup-simplify]: Simplify 0 into 0
20.855 * [backup-simplify]: Simplify 1 into 1
20.855 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
20.856 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
20.856 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
20.856 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
20.856 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
20.857 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
20.858 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
20.858 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
20.859 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
20.859 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
20.860 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
20.860 * [backup-simplify]: Simplify (- 0) into 0
20.860 * [backup-simplify]: Simplify (+ 0 0) into 0
20.861 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
20.862 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
20.862 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
20.863 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0
20.863 * [backup-simplify]: Simplify (+ 1 0) into 1
20.864 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J)
20.864 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
20.864 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
20.864 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
20.864 * [taylor]: Taking taylor expansion of -1/2 in J
20.864 * [backup-simplify]: Simplify -1/2 into -1/2
20.864 * [taylor]: Taking taylor expansion of K in J
20.864 * [backup-simplify]: Simplify K into K
20.864 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
20.864 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
20.864 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
20.865 * [taylor]: Taking taylor expansion of J in J
20.865 * [backup-simplify]: Simplify 0 into 0
20.865 * [backup-simplify]: Simplify 1 into 1
20.865 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
20.865 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
20.865 * [backup-simplify]: Simplify (- 0) into 0
20.865 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
20.865 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
20.866 * [backup-simplify]: Simplify (+ 0) into 0
20.866 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
20.866 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
20.867 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
20.867 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
20.867 * [backup-simplify]: Simplify (- 0) into 0
20.867 * [backup-simplify]: Simplify (+ 0 0) into 0
20.868 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0
20.868 * [taylor]: Taking taylor expansion of 0 in K
20.868 * [backup-simplify]: Simplify 0 into 0
20.868 * [backup-simplify]: Simplify 0 into 0
20.868 * [taylor]: Taking taylor expansion of 0 in K
20.868 * [backup-simplify]: Simplify 0 into 0
20.868 * [backup-simplify]: Simplify 0 into 0
20.868 * [backup-simplify]: Simplify (+ 0) into 0
20.869 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
20.869 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
20.869 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
20.869 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
20.870 * [backup-simplify]: Simplify (- 0) into 0
20.870 * [backup-simplify]: Simplify (+ 0 0) into 0
20.870 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
20.870 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0
20.870 * [taylor]: Taking taylor expansion of 0 in K
20.870 * [backup-simplify]: Simplify 0 into 0
20.870 * [backup-simplify]: Simplify 0 into 0
20.870 * [backup-simplify]: Simplify 0 into 0
20.871 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
20.871 * [backup-simplify]: Simplify 0 into 0
20.871 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
20.872 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
20.872 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
20.873 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
20.873 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
20.874 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
20.874 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
20.874 * [backup-simplify]: Simplify (- 0) into 0
20.875 * [backup-simplify]: Simplify (+ 0 0) into 0
20.875 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
20.876 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
20.876 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
20.877 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
20.877 * [backup-simplify]: Simplify (+ 0 0) into 0
20.877 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
20.877 * [taylor]: Taking taylor expansion of 0 in J
20.877 * [backup-simplify]: Simplify 0 into 0
20.877 * [taylor]: Taking taylor expansion of 0 in K
20.877 * [backup-simplify]: Simplify 0 into 0
20.877 * [backup-simplify]: Simplify 0 into 0
20.878 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
20.878 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 1)
20.878 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))
20.878 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U J K) around 0
20.878 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K
20.878 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K
20.878 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
20.878 * [taylor]: Taking taylor expansion of 1/4 in K
20.878 * [backup-simplify]: Simplify 1/4 into 1/4
20.878 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
20.878 * [taylor]: Taking taylor expansion of (pow U 2) in K
20.878 * [taylor]: Taking taylor expansion of U in K
20.878 * [backup-simplify]: Simplify U into U
20.878 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
20.878 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
20.878 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
20.878 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
20.878 * [taylor]: Taking taylor expansion of 1/2 in K
20.878 * [backup-simplify]: Simplify 1/2 into 1/2
20.878 * [taylor]: Taking taylor expansion of K in K
20.878 * [backup-simplify]: Simplify 0 into 0
20.878 * [backup-simplify]: Simplify 1 into 1
20.879 * [backup-simplify]: Simplify (* 1/2 0) into 0
20.879 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
20.879 * [taylor]: Taking taylor expansion of (pow J 2) in K
20.879 * [taylor]: Taking taylor expansion of J in K
20.879 * [backup-simplify]: Simplify J into J
20.879 * [backup-simplify]: Simplify (* U U) into (pow U 2)
20.879 * [backup-simplify]: Simplify (* 1 1) into 1
20.879 * [backup-simplify]: Simplify (* J J) into (pow J 2)
20.879 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
20.879 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
20.879 * [taylor]: Taking taylor expansion of 1 in K
20.880 * [backup-simplify]: Simplify 1 into 1
20.880 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2)))
20.880 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
20.880 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
20.880 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
20.880 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
20.880 * [backup-simplify]: Simplify (+ 0) into 0
20.881 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
20.881 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
20.881 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
20.881 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0
20.882 * [backup-simplify]: Simplify (+ 0 0) into 0
20.882 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
20.882 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J
20.882 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J
20.882 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
20.882 * [taylor]: Taking taylor expansion of 1/4 in J
20.882 * [backup-simplify]: Simplify 1/4 into 1/4
20.882 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
20.882 * [taylor]: Taking taylor expansion of (pow U 2) in J
20.882 * [taylor]: Taking taylor expansion of U in J
20.882 * [backup-simplify]: Simplify U into U
20.882 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
20.882 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
20.882 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
20.882 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
20.882 * [taylor]: Taking taylor expansion of 1/2 in J
20.882 * [backup-simplify]: Simplify 1/2 into 1/2
20.882 * [taylor]: Taking taylor expansion of K in J
20.882 * [backup-simplify]: Simplify K into K
20.882 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
20.882 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
20.882 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
20.882 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
20.882 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
20.883 * [backup-simplify]: Simplify (- 0) into 0
20.883 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
20.883 * [taylor]: Taking taylor expansion of (pow J 2) in J
20.883 * [taylor]: Taking taylor expansion of J in J
20.883 * [backup-simplify]: Simplify 0 into 0
20.883 * [backup-simplify]: Simplify 1 into 1
20.883 * [backup-simplify]: Simplify (* U U) into (pow U 2)
20.883 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
20.883 * [backup-simplify]: Simplify (* 1 1) into 1
20.883 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
20.883 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
20.883 * [taylor]: Taking taylor expansion of 1 in J
20.883 * [backup-simplify]: Simplify 1 into 1
20.883 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
20.883 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
20.884 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
20.884 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
20.884 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
20.884 * [backup-simplify]: Simplify (+ 0) into 0
20.885 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
20.885 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
20.885 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
20.886 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
20.886 * [backup-simplify]: Simplify (- 0) into 0
20.886 * [backup-simplify]: Simplify (+ 0 0) into 0
20.886 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
20.887 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
20.887 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
20.887 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0
20.887 * [backup-simplify]: Simplify (+ 0 0) into 0
20.888 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
20.888 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
20.888 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
20.888 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
20.888 * [taylor]: Taking taylor expansion of 1/4 in U
20.888 * [backup-simplify]: Simplify 1/4 into 1/4
20.888 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
20.888 * [taylor]: Taking taylor expansion of (pow U 2) in U
20.888 * [taylor]: Taking taylor expansion of U in U
20.888 * [backup-simplify]: Simplify 0 into 0
20.888 * [backup-simplify]: Simplify 1 into 1
20.888 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
20.888 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
20.888 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
20.888 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
20.888 * [taylor]: Taking taylor expansion of 1/2 in U
20.888 * [backup-simplify]: Simplify 1/2 into 1/2
20.888 * [taylor]: Taking taylor expansion of K in U
20.888 * [backup-simplify]: Simplify K into K
20.888 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
20.888 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
20.888 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
20.888 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
20.888 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
20.888 * [backup-simplify]: Simplify (- 0) into 0
20.888 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
20.888 * [taylor]: Taking taylor expansion of (pow J 2) in U
20.888 * [taylor]: Taking taylor expansion of J in U
20.888 * [backup-simplify]: Simplify J into J
20.889 * [backup-simplify]: Simplify (* 1 1) into 1
20.889 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
20.889 * [backup-simplify]: Simplify (* J J) into (pow J 2)
20.889 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
20.889 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
20.889 * [taylor]: Taking taylor expansion of 1 in U
20.889 * [backup-simplify]: Simplify 1 into 1
20.889 * [backup-simplify]: Simplify (+ 0 1) into 1
20.889 * [backup-simplify]: Simplify (sqrt 1) into 1
20.890 * [backup-simplify]: Simplify (+ 0 0) into 0
20.890 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
20.890 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
20.890 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
20.890 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
20.890 * [taylor]: Taking taylor expansion of 1/4 in U
20.890 * [backup-simplify]: Simplify 1/4 into 1/4
20.890 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
20.890 * [taylor]: Taking taylor expansion of (pow U 2) in U
20.890 * [taylor]: Taking taylor expansion of U in U
20.890 * [backup-simplify]: Simplify 0 into 0
20.890 * [backup-simplify]: Simplify 1 into 1
20.890 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
20.890 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
20.890 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
20.890 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
20.890 * [taylor]: Taking taylor expansion of 1/2 in U
20.890 * [backup-simplify]: Simplify 1/2 into 1/2
20.890 * [taylor]: Taking taylor expansion of K in U
20.890 * [backup-simplify]: Simplify K into K
20.890 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
20.890 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
20.890 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
20.891 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
20.891 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
20.891 * [backup-simplify]: Simplify (- 0) into 0
20.891 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
20.891 * [taylor]: Taking taylor expansion of (pow J 2) in U
20.891 * [taylor]: Taking taylor expansion of J in U
20.891 * [backup-simplify]: Simplify J into J
20.891 * [backup-simplify]: Simplify (* 1 1) into 1
20.891 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
20.892 * [backup-simplify]: Simplify (* J J) into (pow J 2)
20.892 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
20.892 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
20.892 * [taylor]: Taking taylor expansion of 1 in U
20.892 * [backup-simplify]: Simplify 1 into 1
20.892 * [backup-simplify]: Simplify (+ 0 1) into 1
20.892 * [backup-simplify]: Simplify (sqrt 1) into 1
20.892 * [backup-simplify]: Simplify (+ 0 0) into 0
20.893 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
20.893 * [taylor]: Taking taylor expansion of 1 in J
20.893 * [backup-simplify]: Simplify 1 into 1
20.893 * [taylor]: Taking taylor expansion of 0 in J
20.893 * [backup-simplify]: Simplify 0 into 0
20.893 * [taylor]: Taking taylor expansion of 1 in K
20.893 * [backup-simplify]: Simplify 1 into 1
20.893 * [backup-simplify]: Simplify 1 into 1
20.893 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
20.893 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
20.894 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
20.894 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
20.894 * [taylor]: Taking taylor expansion of 1/8 in J
20.894 * [backup-simplify]: Simplify 1/8 into 1/8
20.894 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
20.894 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
20.894 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
20.894 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
20.894 * [taylor]: Taking taylor expansion of 1/2 in J
20.894 * [backup-simplify]: Simplify 1/2 into 1/2
20.894 * [taylor]: Taking taylor expansion of K in J
20.894 * [backup-simplify]: Simplify K into K
20.894 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
20.895 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
20.895 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
20.895 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
20.895 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
20.895 * [backup-simplify]: Simplify (- 0) into 0
20.895 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
20.895 * [taylor]: Taking taylor expansion of (pow J 2) in J
20.895 * [taylor]: Taking taylor expansion of J in J
20.895 * [backup-simplify]: Simplify 0 into 0
20.895 * [backup-simplify]: Simplify 1 into 1
20.895 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
20.896 * [backup-simplify]: Simplify (* 1 1) into 1
20.896 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
20.896 * [backup-simplify]: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2))
20.897 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
20.897 * [backup-simplify]: Simplify (+ 0) into 0
20.897 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
20.898 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
20.899 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
20.899 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
20.899 * [backup-simplify]: Simplify (- 0) into 0
20.900 * [backup-simplify]: Simplify (+ 0 0) into 0
20.900 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
20.900 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
20.901 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
20.901 * [taylor]: Taking taylor expansion of 0 in K
20.901 * [backup-simplify]: Simplify 0 into 0
20.901 * [backup-simplify]: Simplify 0 into 0
20.901 * [taylor]: Taking taylor expansion of 0 in K
20.901 * [backup-simplify]: Simplify 0 into 0
20.901 * [backup-simplify]: Simplify 0 into 0
20.901 * [taylor]: Taking taylor expansion of 0 in K
20.901 * [backup-simplify]: Simplify 0 into 0
20.901 * [backup-simplify]: Simplify 0 into 0
20.901 * [backup-simplify]: Simplify 0 into 0
20.902 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
20.902 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
20.902 * [backup-simplify]: Simplify (+ 0) into 0
20.902 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
20.903 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
20.904 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
20.904 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
20.904 * [backup-simplify]: Simplify (- 0) into 0
20.905 * [backup-simplify]: Simplify (+ 0 0) into 0
20.905 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
20.905 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0
20.905 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
20.906 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0
20.906 * [backup-simplify]: Simplify (+ 0 0) into 0
20.907 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0
20.907 * [taylor]: Taking taylor expansion of 0 in J
20.907 * [backup-simplify]: Simplify 0 into 0
20.908 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
20.909 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
20.909 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
20.910 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
20.911 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
20.911 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
20.912 * [backup-simplify]: Simplify (- 0) into 0
20.912 * [backup-simplify]: Simplify (+ 0 0) into 0
20.913 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0
20.913 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
20.914 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
20.914 * [taylor]: Taking taylor expansion of 0 in K
20.914 * [backup-simplify]: Simplify 0 into 0
20.914 * [backup-simplify]: Simplify 0 into 0
20.914 * [taylor]: Taking taylor expansion of 0 in K
20.914 * [backup-simplify]: Simplify 0 into 0
20.914 * [backup-simplify]: Simplify 0 into 0
20.914 * [backup-simplify]: Simplify 1 into 1
20.914 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
20.914 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U J K) around 0
20.915 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K
20.915 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K
20.915 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
20.915 * [taylor]: Taking taylor expansion of 1/4 in K
20.915 * [backup-simplify]: Simplify 1/4 into 1/4
20.915 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
20.915 * [taylor]: Taking taylor expansion of (pow J 2) in K
20.915 * [taylor]: Taking taylor expansion of J in K
20.915 * [backup-simplify]: Simplify J into J
20.915 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
20.915 * [taylor]: Taking taylor expansion of (pow U 2) in K
20.915 * [taylor]: Taking taylor expansion of U in K
20.915 * [backup-simplify]: Simplify U into U
20.915 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
20.915 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
20.915 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
20.915 * [taylor]: Taking taylor expansion of 1/2 in K
20.915 * [backup-simplify]: Simplify 1/2 into 1/2
20.915 * [taylor]: Taking taylor expansion of K in K
20.915 * [backup-simplify]: Simplify 0 into 0
20.915 * [backup-simplify]: Simplify 1 into 1
20.915 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
20.916 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
20.916 * [backup-simplify]: Simplify (* J J) into (pow J 2)
20.916 * [backup-simplify]: Simplify (* U U) into (pow U 2)
20.916 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
20.916 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
20.916 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
20.916 * [taylor]: Taking taylor expansion of 1 in K
20.916 * [backup-simplify]: Simplify 1 into 1
20.916 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))
20.917 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)
20.917 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
20.917 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
20.917 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
20.917 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
20.918 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
20.918 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
20.919 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
20.919 * [backup-simplify]: Simplify (+ 0 0) into 0
20.920 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
20.920 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
20.920 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
20.920 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
20.920 * [taylor]: Taking taylor expansion of 1/4 in J
20.920 * [backup-simplify]: Simplify 1/4 into 1/4
20.920 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
20.920 * [taylor]: Taking taylor expansion of (pow J 2) in J
20.920 * [taylor]: Taking taylor expansion of J in J
20.920 * [backup-simplify]: Simplify 0 into 0
20.920 * [backup-simplify]: Simplify 1 into 1
20.920 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
20.920 * [taylor]: Taking taylor expansion of (pow U 2) in J
20.920 * [taylor]: Taking taylor expansion of U in J
20.920 * [backup-simplify]: Simplify U into U
20.920 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
20.920 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
20.920 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
20.920 * [taylor]: Taking taylor expansion of 1/2 in J
20.920 * [backup-simplify]: Simplify 1/2 into 1/2
20.920 * [taylor]: Taking taylor expansion of K in J
20.920 * [backup-simplify]: Simplify K into K
20.920 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
20.920 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
20.920 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
20.920 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
20.920 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
20.921 * [backup-simplify]: Simplify (- 0) into 0
20.921 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
20.921 * [backup-simplify]: Simplify (* 1 1) into 1
20.921 * [backup-simplify]: Simplify (* U U) into (pow U 2)
20.921 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
20.922 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
20.922 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
20.922 * [taylor]: Taking taylor expansion of 1 in J
20.922 * [backup-simplify]: Simplify 1 into 1
20.922 * [backup-simplify]: Simplify (+ 0 1) into 1
20.923 * [backup-simplify]: Simplify (sqrt 1) into 1
20.923 * [backup-simplify]: Simplify (+ 0 0) into 0
20.924 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
20.924 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
20.924 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
20.924 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
20.924 * [taylor]: Taking taylor expansion of 1/4 in U
20.924 * [backup-simplify]: Simplify 1/4 into 1/4
20.924 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
20.924 * [taylor]: Taking taylor expansion of (pow J 2) in U
20.924 * [taylor]: Taking taylor expansion of J in U
20.924 * [backup-simplify]: Simplify J into J
20.924 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
20.924 * [taylor]: Taking taylor expansion of (pow U 2) in U
20.924 * [taylor]: Taking taylor expansion of U in U
20.924 * [backup-simplify]: Simplify 0 into 0
20.924 * [backup-simplify]: Simplify 1 into 1
20.924 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
20.924 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
20.924 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
20.924 * [taylor]: Taking taylor expansion of 1/2 in U
20.924 * [backup-simplify]: Simplify 1/2 into 1/2
20.924 * [taylor]: Taking taylor expansion of K in U
20.924 * [backup-simplify]: Simplify K into K
20.924 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
20.924 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
20.924 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
20.924 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
20.924 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
20.925 * [backup-simplify]: Simplify (- 0) into 0
20.925 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
20.925 * [backup-simplify]: Simplify (* J J) into (pow J 2)
20.925 * [backup-simplify]: Simplify (* 1 1) into 1
20.925 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
20.926 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
20.926 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
20.926 * [taylor]: Taking taylor expansion of 1 in U
20.926 * [backup-simplify]: Simplify 1 into 1
20.926 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
20.926 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
20.926 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
20.927 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
20.927 * [backup-simplify]: Simplify (+ 0) into 0
20.927 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
20.927 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
20.928 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
20.929 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
20.929 * [backup-simplify]: Simplify (- 0) into 0
20.929 * [backup-simplify]: Simplify (+ 0 0) into 0
20.929 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
20.930 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
20.931 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
20.931 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
20.931 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
20.932 * [backup-simplify]: Simplify (+ 0 0) into 0
20.932 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
20.932 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
20.932 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
20.932 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
20.932 * [taylor]: Taking taylor expansion of 1/4 in U
20.932 * [backup-simplify]: Simplify 1/4 into 1/4
20.932 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
20.932 * [taylor]: Taking taylor expansion of (pow J 2) in U
20.932 * [taylor]: Taking taylor expansion of J in U
20.932 * [backup-simplify]: Simplify J into J
20.932 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
20.932 * [taylor]: Taking taylor expansion of (pow U 2) in U
20.932 * [taylor]: Taking taylor expansion of U in U
20.932 * [backup-simplify]: Simplify 0 into 0
20.932 * [backup-simplify]: Simplify 1 into 1
20.932 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
20.932 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
20.932 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
20.932 * [taylor]: Taking taylor expansion of 1/2 in U
20.932 * [backup-simplify]: Simplify 1/2 into 1/2
20.932 * [taylor]: Taking taylor expansion of K in U
20.932 * [backup-simplify]: Simplify K into K
20.932 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
20.932 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
20.932 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
20.932 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
20.933 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
20.933 * [backup-simplify]: Simplify (- 0) into 0
20.933 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
20.933 * [backup-simplify]: Simplify (* J J) into (pow J 2)
20.933 * [backup-simplify]: Simplify (* 1 1) into 1
20.933 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
20.933 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
20.933 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
20.933 * [taylor]: Taking taylor expansion of 1 in U
20.933 * [backup-simplify]: Simplify 1 into 1
20.933 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
20.934 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
20.934 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
20.934 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
20.934 * [backup-simplify]: Simplify (+ 0) into 0
20.934 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
20.934 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
20.935 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
20.935 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
20.936 * [backup-simplify]: Simplify (- 0) into 0
20.936 * [backup-simplify]: Simplify (+ 0 0) into 0
20.936 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
20.937 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
20.937 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
20.937 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
20.938 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
20.938 * [backup-simplify]: Simplify (+ 0 0) into 0
20.939 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
20.939 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J
20.939 * [taylor]: Taking taylor expansion of 1/2 in J
20.939 * [backup-simplify]: Simplify 1/2 into 1/2
20.939 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J
20.939 * [taylor]: Taking taylor expansion of J in J
20.939 * [backup-simplify]: Simplify 0 into 0
20.939 * [backup-simplify]: Simplify 1 into 1
20.939 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
20.939 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
20.939 * [taylor]: Taking taylor expansion of 1/2 in J
20.939 * [backup-simplify]: Simplify 1/2 into 1/2
20.939 * [taylor]: Taking taylor expansion of K in J
20.939 * [backup-simplify]: Simplify K into K
20.939 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
20.939 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
20.939 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
20.939 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
20.939 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
20.940 * [backup-simplify]: Simplify (- 0) into 0
20.940 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
20.940 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K)))
20.940 * [taylor]: Taking taylor expansion of 0 in J
20.940 * [backup-simplify]: Simplify 0 into 0
20.940 * [taylor]: Taking taylor expansion of 0 in K
20.940 * [backup-simplify]: Simplify 0 into 0
20.940 * [backup-simplify]: Simplify 0 into 0
20.940 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K)))
20.940 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K
20.940 * [taylor]: Taking taylor expansion of 1/2 in K
20.940 * [backup-simplify]: Simplify 1/2 into 1/2
20.940 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
20.940 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
20.940 * [taylor]: Taking taylor expansion of 1/2 in K
20.940 * [backup-simplify]: Simplify 1/2 into 1/2
20.940 * [taylor]: Taking taylor expansion of K in K
20.940 * [backup-simplify]: Simplify 0 into 0
20.940 * [backup-simplify]: Simplify 1 into 1
20.941 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
20.941 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
20.941 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
20.941 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
20.941 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
20.942 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
20.943 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
20.943 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
20.944 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
20.944 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
20.945 * [backup-simplify]: Simplify (- 0) into 0
20.945 * [backup-simplify]: Simplify (+ 0 0) into 0
20.945 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
20.946 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
20.946 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
20.947 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
20.947 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0
20.948 * [backup-simplify]: Simplify (+ 0 1) into 1
20.948 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J)
20.948 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
20.948 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
20.948 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
20.948 * [taylor]: Taking taylor expansion of 1/2 in J
20.948 * [backup-simplify]: Simplify 1/2 into 1/2
20.948 * [taylor]: Taking taylor expansion of K in J
20.948 * [backup-simplify]: Simplify K into K
20.948 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
20.948 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
20.948 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
20.948 * [taylor]: Taking taylor expansion of J in J
20.948 * [backup-simplify]: Simplify 0 into 0
20.948 * [backup-simplify]: Simplify 1 into 1
20.948 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
20.949 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
20.949 * [backup-simplify]: Simplify (- 0) into 0
20.949 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
20.949 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
20.949 * [backup-simplify]: Simplify (+ 0) into 0
20.949 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
20.950 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
20.950 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
20.950 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
20.951 * [backup-simplify]: Simplify (- 0) into 0
20.951 * [backup-simplify]: Simplify (+ 0 0) into 0
20.951 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0
20.951 * [taylor]: Taking taylor expansion of 0 in K
20.951 * [backup-simplify]: Simplify 0 into 0
20.951 * [backup-simplify]: Simplify 0 into 0
20.952 * [taylor]: Taking taylor expansion of 0 in K
20.952 * [backup-simplify]: Simplify 0 into 0
20.952 * [backup-simplify]: Simplify 0 into 0
20.952 * [backup-simplify]: Simplify (+ 0) into 0
20.952 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
20.952 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
20.953 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
20.953 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
20.953 * [backup-simplify]: Simplify (- 0) into 0
20.954 * [backup-simplify]: Simplify (+ 0 0) into 0
20.954 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
20.954 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0
20.954 * [taylor]: Taking taylor expansion of 0 in K
20.954 * [backup-simplify]: Simplify 0 into 0
20.954 * [backup-simplify]: Simplify 0 into 0
20.954 * [backup-simplify]: Simplify 0 into 0
20.954 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
20.954 * [backup-simplify]: Simplify 0 into 0
20.955 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
20.956 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
20.956 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
20.956 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
20.958 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
20.958 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
20.959 * [backup-simplify]: Simplify (- 0) into 0
20.959 * [backup-simplify]: Simplify (+ 0 0) into 0
20.960 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
20.963 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
20.964 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0
20.964 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
20.965 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
20.966 * [backup-simplify]: Simplify (+ 0 0) into 0
20.966 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0
20.966 * [taylor]: Taking taylor expansion of 0 in J
20.966 * [backup-simplify]: Simplify 0 into 0
20.966 * [taylor]: Taking taylor expansion of 0 in K
20.966 * [backup-simplify]: Simplify 0 into 0
20.966 * [backup-simplify]: Simplify 0 into 0
20.966 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
20.967 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))
20.967 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U J K) around 0
20.967 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K
20.967 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K
20.967 * [taylor]: Taking taylor expansion of 1 in K
20.967 * [backup-simplify]: Simplify 1 into 1
20.967 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
20.967 * [taylor]: Taking taylor expansion of 1/4 in K
20.967 * [backup-simplify]: Simplify 1/4 into 1/4
20.967 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
20.967 * [taylor]: Taking taylor expansion of (pow J 2) in K
20.967 * [taylor]: Taking taylor expansion of J in K
20.967 * [backup-simplify]: Simplify J into J
20.967 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
20.967 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
20.967 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
20.967 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
20.967 * [taylor]: Taking taylor expansion of -1/2 in K
20.967 * [backup-simplify]: Simplify -1/2 into -1/2
20.967 * [taylor]: Taking taylor expansion of K in K
20.967 * [backup-simplify]: Simplify 0 into 0
20.967 * [backup-simplify]: Simplify 1 into 1
20.967 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
20.967 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
20.967 * [taylor]: Taking taylor expansion of (pow U 2) in K
20.967 * [taylor]: Taking taylor expansion of U in K
20.967 * [backup-simplify]: Simplify U into U
20.967 * [backup-simplify]: Simplify (* J J) into (pow J 2)
20.967 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
20.967 * [backup-simplify]: Simplify (* U U) into (pow U 2)
20.967 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
20.968 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
20.968 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
20.968 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))
20.968 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))
20.968 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
20.968 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
20.968 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
20.969 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
20.969 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0
20.969 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
20.970 * [backup-simplify]: Simplify (+ 0 0) into 0
20.970 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0
20.970 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
20.970 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
20.970 * [taylor]: Taking taylor expansion of 1 in J
20.970 * [backup-simplify]: Simplify 1 into 1
20.970 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
20.970 * [taylor]: Taking taylor expansion of 1/4 in J
20.970 * [backup-simplify]: Simplify 1/4 into 1/4
20.970 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
20.970 * [taylor]: Taking taylor expansion of (pow J 2) in J
20.970 * [taylor]: Taking taylor expansion of J in J
20.970 * [backup-simplify]: Simplify 0 into 0
20.970 * [backup-simplify]: Simplify 1 into 1
20.970 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
20.970 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
20.970 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
20.970 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
20.970 * [taylor]: Taking taylor expansion of -1/2 in J
20.970 * [backup-simplify]: Simplify -1/2 into -1/2
20.970 * [taylor]: Taking taylor expansion of K in J
20.970 * [backup-simplify]: Simplify K into K
20.970 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
20.970 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
20.970 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
20.970 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
20.970 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
20.971 * [backup-simplify]: Simplify (- 0) into 0
20.971 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
20.971 * [taylor]: Taking taylor expansion of (pow U 2) in J
20.971 * [taylor]: Taking taylor expansion of U in J
20.971 * [backup-simplify]: Simplify U into U
20.971 * [backup-simplify]: Simplify (* 1 1) into 1
20.971 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
20.971 * [backup-simplify]: Simplify (* U U) into (pow U 2)
20.971 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
20.971 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
20.972 * [backup-simplify]: Simplify (+ 1 0) into 1
20.972 * [backup-simplify]: Simplify (sqrt 1) into 1
20.972 * [backup-simplify]: Simplify (+ 0 0) into 0
20.973 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
20.973 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
20.973 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
20.973 * [taylor]: Taking taylor expansion of 1 in U
20.973 * [backup-simplify]: Simplify 1 into 1
20.973 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
20.973 * [taylor]: Taking taylor expansion of 1/4 in U
20.973 * [backup-simplify]: Simplify 1/4 into 1/4
20.973 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
20.973 * [taylor]: Taking taylor expansion of (pow J 2) in U
20.973 * [taylor]: Taking taylor expansion of J in U
20.973 * [backup-simplify]: Simplify J into J
20.973 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
20.973 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
20.973 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
20.973 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
20.973 * [taylor]: Taking taylor expansion of -1/2 in U
20.973 * [backup-simplify]: Simplify -1/2 into -1/2
20.973 * [taylor]: Taking taylor expansion of K in U
20.973 * [backup-simplify]: Simplify K into K
20.973 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
20.973 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
20.973 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
20.974 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
20.974 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
20.974 * [backup-simplify]: Simplify (- 0) into 0
20.974 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
20.974 * [taylor]: Taking taylor expansion of (pow U 2) in U
20.974 * [taylor]: Taking taylor expansion of U in U
20.974 * [backup-simplify]: Simplify 0 into 0
20.974 * [backup-simplify]: Simplify 1 into 1
20.974 * [backup-simplify]: Simplify (* J J) into (pow J 2)
20.974 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
20.974 * [backup-simplify]: Simplify (* 1 1) into 1
20.974 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
20.975 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
20.975 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
20.975 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
20.975 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
20.975 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
20.976 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
20.976 * [backup-simplify]: Simplify (+ 0) into 0
20.976 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
20.976 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
20.977 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
20.977 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
20.977 * [backup-simplify]: Simplify (- 0) into 0
20.977 * [backup-simplify]: Simplify (+ 0 0) into 0
20.978 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
20.978 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
20.978 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
20.979 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
20.979 * [backup-simplify]: Simplify (+ 0 0) into 0
20.979 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
20.979 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
20.979 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
20.979 * [taylor]: Taking taylor expansion of 1 in U
20.979 * [backup-simplify]: Simplify 1 into 1
20.979 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
20.979 * [taylor]: Taking taylor expansion of 1/4 in U
20.979 * [backup-simplify]: Simplify 1/4 into 1/4
20.979 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
20.979 * [taylor]: Taking taylor expansion of (pow J 2) in U
20.979 * [taylor]: Taking taylor expansion of J in U
20.979 * [backup-simplify]: Simplify J into J
20.979 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
20.979 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
20.979 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
20.979 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
20.979 * [taylor]: Taking taylor expansion of -1/2 in U
20.979 * [backup-simplify]: Simplify -1/2 into -1/2
20.979 * [taylor]: Taking taylor expansion of K in U
20.979 * [backup-simplify]: Simplify K into K
20.979 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
20.979 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
20.979 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
20.979 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
20.979 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
20.980 * [backup-simplify]: Simplify (- 0) into 0
20.980 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
20.980 * [taylor]: Taking taylor expansion of (pow U 2) in U
20.980 * [taylor]: Taking taylor expansion of U in U
20.980 * [backup-simplify]: Simplify 0 into 0
20.980 * [backup-simplify]: Simplify 1 into 1
20.980 * [backup-simplify]: Simplify (* J J) into (pow J 2)
20.980 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
20.980 * [backup-simplify]: Simplify (* 1 1) into 1
20.980 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
20.980 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
20.980 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
20.981 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
20.981 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
20.981 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
20.981 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
20.981 * [backup-simplify]: Simplify (+ 0) into 0
20.982 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
20.982 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
20.982 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
20.983 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
20.983 * [backup-simplify]: Simplify (- 0) into 0
20.983 * [backup-simplify]: Simplify (+ 0 0) into 0
20.983 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
20.983 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
20.984 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
20.984 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
20.984 * [backup-simplify]: Simplify (+ 0 0) into 0
20.984 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
20.985 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J
20.985 * [taylor]: Taking taylor expansion of 1/2 in J
20.985 * [backup-simplify]: Simplify 1/2 into 1/2
20.985 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J
20.985 * [taylor]: Taking taylor expansion of J in J
20.985 * [backup-simplify]: Simplify 0 into 0
20.985 * [backup-simplify]: Simplify 1 into 1
20.985 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
20.985 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
20.985 * [taylor]: Taking taylor expansion of -1/2 in J
20.985 * [backup-simplify]: Simplify -1/2 into -1/2
20.985 * [taylor]: Taking taylor expansion of K in J
20.985 * [backup-simplify]: Simplify K into K
20.985 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
20.985 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
20.985 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
20.985 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
20.985 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
20.985 * [backup-simplify]: Simplify (- 0) into 0
20.985 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
20.985 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K)))
20.985 * [taylor]: Taking taylor expansion of 0 in J
20.985 * [backup-simplify]: Simplify 0 into 0
20.985 * [taylor]: Taking taylor expansion of 0 in K
20.985 * [backup-simplify]: Simplify 0 into 0
20.985 * [backup-simplify]: Simplify 0 into 0
20.985 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K)))
20.985 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K
20.985 * [taylor]: Taking taylor expansion of 1/2 in K
20.985 * [backup-simplify]: Simplify 1/2 into 1/2
20.986 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
20.986 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
20.986 * [taylor]: Taking taylor expansion of -1/2 in K
20.986 * [backup-simplify]: Simplify -1/2 into -1/2
20.986 * [taylor]: Taking taylor expansion of K in K
20.986 * [backup-simplify]: Simplify 0 into 0
20.986 * [backup-simplify]: Simplify 1 into 1
20.986 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
20.986 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
20.986 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
20.986 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
20.986 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
20.987 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
20.987 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
20.988 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
20.988 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
20.988 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
20.989 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
20.989 * [backup-simplify]: Simplify (- 0) into 0
20.989 * [backup-simplify]: Simplify (+ 0 0) into 0
20.989 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
20.990 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
20.990 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
20.991 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0
20.991 * [backup-simplify]: Simplify (+ 1 0) into 1
20.992 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J)
20.992 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
20.992 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
20.992 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
20.992 * [taylor]: Taking taylor expansion of -1/2 in J
20.992 * [backup-simplify]: Simplify -1/2 into -1/2
20.992 * [taylor]: Taking taylor expansion of K in J
20.992 * [backup-simplify]: Simplify K into K
20.992 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
20.992 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
20.992 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
20.992 * [taylor]: Taking taylor expansion of J in J
20.992 * [backup-simplify]: Simplify 0 into 0
20.992 * [backup-simplify]: Simplify 1 into 1
20.992 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
20.992 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
20.992 * [backup-simplify]: Simplify (- 0) into 0
20.993 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
20.993 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
20.993 * [backup-simplify]: Simplify (+ 0) into 0
20.993 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
20.993 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
20.994 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
20.994 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
20.994 * [backup-simplify]: Simplify (- 0) into 0
20.994 * [backup-simplify]: Simplify (+ 0 0) into 0
20.995 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0
20.995 * [taylor]: Taking taylor expansion of 0 in K
20.995 * [backup-simplify]: Simplify 0 into 0
20.995 * [backup-simplify]: Simplify 0 into 0
20.995 * [taylor]: Taking taylor expansion of 0 in K
20.995 * [backup-simplify]: Simplify 0 into 0
20.995 * [backup-simplify]: Simplify 0 into 0
20.995 * [backup-simplify]: Simplify (+ 0) into 0
20.996 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
20.996 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
20.996 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
20.997 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
20.997 * [backup-simplify]: Simplify (- 0) into 0
20.997 * [backup-simplify]: Simplify (+ 0 0) into 0
20.997 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
20.997 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0
20.997 * [taylor]: Taking taylor expansion of 0 in K
20.997 * [backup-simplify]: Simplify 0 into 0
20.998 * [backup-simplify]: Simplify 0 into 0
20.998 * [backup-simplify]: Simplify 0 into 0
20.998 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
20.998 * [backup-simplify]: Simplify 0 into 0
20.998 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
20.999 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
20.999 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
21.000 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.000 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
21.001 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
21.001 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
21.001 * [backup-simplify]: Simplify (- 0) into 0
21.002 * [backup-simplify]: Simplify (+ 0 0) into 0
21.002 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
21.003 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.003 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
21.004 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
21.004 * [backup-simplify]: Simplify (+ 0 0) into 0
21.004 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
21.004 * [taylor]: Taking taylor expansion of 0 in J
21.004 * [backup-simplify]: Simplify 0 into 0
21.004 * [taylor]: Taking taylor expansion of 0 in K
21.004 * [backup-simplify]: Simplify 0 into 0
21.004 * [backup-simplify]: Simplify 0 into 0
21.004 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
21.005 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1 2 1)
21.005 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))
21.005 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U J K) around 0
21.005 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K
21.005 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K
21.005 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
21.005 * [taylor]: Taking taylor expansion of 1/4 in K
21.005 * [backup-simplify]: Simplify 1/4 into 1/4
21.005 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
21.005 * [taylor]: Taking taylor expansion of (pow U 2) in K
21.005 * [taylor]: Taking taylor expansion of U in K
21.005 * [backup-simplify]: Simplify U into U
21.005 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
21.005 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
21.005 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
21.005 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
21.005 * [taylor]: Taking taylor expansion of 1/2 in K
21.005 * [backup-simplify]: Simplify 1/2 into 1/2
21.005 * [taylor]: Taking taylor expansion of K in K
21.005 * [backup-simplify]: Simplify 0 into 0
21.005 * [backup-simplify]: Simplify 1 into 1
21.005 * [backup-simplify]: Simplify (* 1/2 0) into 0
21.006 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
21.006 * [taylor]: Taking taylor expansion of (pow J 2) in K
21.006 * [taylor]: Taking taylor expansion of J in K
21.006 * [backup-simplify]: Simplify J into J
21.006 * [backup-simplify]: Simplify (* U U) into (pow U 2)
21.006 * [backup-simplify]: Simplify (* 1 1) into 1
21.006 * [backup-simplify]: Simplify (* J J) into (pow J 2)
21.006 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
21.006 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
21.006 * [taylor]: Taking taylor expansion of 1 in K
21.006 * [backup-simplify]: Simplify 1 into 1
21.006 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2)))
21.007 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
21.007 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
21.007 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
21.007 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
21.007 * [backup-simplify]: Simplify (+ 0) into 0
21.007 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.008 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
21.008 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
21.008 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0
21.008 * [backup-simplify]: Simplify (+ 0 0) into 0
21.009 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
21.009 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J
21.009 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J
21.009 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
21.009 * [taylor]: Taking taylor expansion of 1/4 in J
21.009 * [backup-simplify]: Simplify 1/4 into 1/4
21.009 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
21.009 * [taylor]: Taking taylor expansion of (pow U 2) in J
21.009 * [taylor]: Taking taylor expansion of U in J
21.009 * [backup-simplify]: Simplify U into U
21.009 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
21.009 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
21.009 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
21.009 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
21.009 * [taylor]: Taking taylor expansion of 1/2 in J
21.009 * [backup-simplify]: Simplify 1/2 into 1/2
21.009 * [taylor]: Taking taylor expansion of K in J
21.009 * [backup-simplify]: Simplify K into K
21.009 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
21.009 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
21.009 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
21.009 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
21.009 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
21.009 * [backup-simplify]: Simplify (- 0) into 0
21.009 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
21.009 * [taylor]: Taking taylor expansion of (pow J 2) in J
21.009 * [taylor]: Taking taylor expansion of J in J
21.009 * [backup-simplify]: Simplify 0 into 0
21.009 * [backup-simplify]: Simplify 1 into 1
21.010 * [backup-simplify]: Simplify (* U U) into (pow U 2)
21.010 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
21.010 * [backup-simplify]: Simplify (* 1 1) into 1
21.010 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
21.010 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
21.010 * [taylor]: Taking taylor expansion of 1 in J
21.010 * [backup-simplify]: Simplify 1 into 1
21.010 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
21.010 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
21.010 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
21.011 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
21.011 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.011 * [backup-simplify]: Simplify (+ 0) into 0
21.011 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
21.012 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
21.012 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
21.012 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
21.013 * [backup-simplify]: Simplify (- 0) into 0
21.013 * [backup-simplify]: Simplify (+ 0 0) into 0
21.013 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
21.013 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
21.014 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
21.014 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0
21.014 * [backup-simplify]: Simplify (+ 0 0) into 0
21.014 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
21.014 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
21.014 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
21.014 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
21.014 * [taylor]: Taking taylor expansion of 1/4 in U
21.014 * [backup-simplify]: Simplify 1/4 into 1/4
21.014 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
21.014 * [taylor]: Taking taylor expansion of (pow U 2) in U
21.014 * [taylor]: Taking taylor expansion of U in U
21.014 * [backup-simplify]: Simplify 0 into 0
21.015 * [backup-simplify]: Simplify 1 into 1
21.015 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
21.015 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
21.015 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
21.015 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
21.015 * [taylor]: Taking taylor expansion of 1/2 in U
21.015 * [backup-simplify]: Simplify 1/2 into 1/2
21.015 * [taylor]: Taking taylor expansion of K in U
21.015 * [backup-simplify]: Simplify K into K
21.015 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
21.015 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
21.015 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
21.015 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
21.015 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
21.015 * [backup-simplify]: Simplify (- 0) into 0
21.015 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
21.015 * [taylor]: Taking taylor expansion of (pow J 2) in U
21.015 * [taylor]: Taking taylor expansion of J in U
21.015 * [backup-simplify]: Simplify J into J
21.015 * [backup-simplify]: Simplify (* 1 1) into 1
21.015 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
21.016 * [backup-simplify]: Simplify (* J J) into (pow J 2)
21.016 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
21.016 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
21.016 * [taylor]: Taking taylor expansion of 1 in U
21.016 * [backup-simplify]: Simplify 1 into 1
21.016 * [backup-simplify]: Simplify (+ 0 1) into 1
21.016 * [backup-simplify]: Simplify (sqrt 1) into 1
21.017 * [backup-simplify]: Simplify (+ 0 0) into 0
21.017 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
21.017 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
21.017 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
21.017 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
21.017 * [taylor]: Taking taylor expansion of 1/4 in U
21.017 * [backup-simplify]: Simplify 1/4 into 1/4
21.017 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
21.017 * [taylor]: Taking taylor expansion of (pow U 2) in U
21.017 * [taylor]: Taking taylor expansion of U in U
21.017 * [backup-simplify]: Simplify 0 into 0
21.017 * [backup-simplify]: Simplify 1 into 1
21.017 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
21.017 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
21.017 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
21.017 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
21.017 * [taylor]: Taking taylor expansion of 1/2 in U
21.017 * [backup-simplify]: Simplify 1/2 into 1/2
21.017 * [taylor]: Taking taylor expansion of K in U
21.017 * [backup-simplify]: Simplify K into K
21.017 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
21.017 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
21.017 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
21.017 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
21.017 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
21.018 * [backup-simplify]: Simplify (- 0) into 0
21.018 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
21.018 * [taylor]: Taking taylor expansion of (pow J 2) in U
21.018 * [taylor]: Taking taylor expansion of J in U
21.018 * [backup-simplify]: Simplify J into J
21.018 * [backup-simplify]: Simplify (* 1 1) into 1
21.018 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
21.018 * [backup-simplify]: Simplify (* J J) into (pow J 2)
21.018 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
21.018 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
21.018 * [taylor]: Taking taylor expansion of 1 in U
21.018 * [backup-simplify]: Simplify 1 into 1
21.019 * [backup-simplify]: Simplify (+ 0 1) into 1
21.019 * [backup-simplify]: Simplify (sqrt 1) into 1
21.019 * [backup-simplify]: Simplify (+ 0 0) into 0
21.020 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
21.020 * [taylor]: Taking taylor expansion of 1 in J
21.020 * [backup-simplify]: Simplify 1 into 1
21.020 * [taylor]: Taking taylor expansion of 0 in J
21.020 * [backup-simplify]: Simplify 0 into 0
21.020 * [taylor]: Taking taylor expansion of 1 in K
21.020 * [backup-simplify]: Simplify 1 into 1
21.020 * [backup-simplify]: Simplify 1 into 1
21.020 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
21.020 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
21.021 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
21.021 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
21.021 * [taylor]: Taking taylor expansion of 1/8 in J
21.021 * [backup-simplify]: Simplify 1/8 into 1/8
21.021 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
21.021 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
21.021 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
21.021 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
21.021 * [taylor]: Taking taylor expansion of 1/2 in J
21.021 * [backup-simplify]: Simplify 1/2 into 1/2
21.021 * [taylor]: Taking taylor expansion of K in J
21.021 * [backup-simplify]: Simplify K into K
21.021 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
21.021 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
21.021 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
21.021 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
21.021 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
21.022 * [backup-simplify]: Simplify (- 0) into 0
21.022 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
21.022 * [taylor]: Taking taylor expansion of (pow J 2) in J
21.022 * [taylor]: Taking taylor expansion of J in J
21.022 * [backup-simplify]: Simplify 0 into 0
21.022 * [backup-simplify]: Simplify 1 into 1
21.022 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
21.022 * [backup-simplify]: Simplify (* 1 1) into 1
21.022 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
21.022 * [backup-simplify]: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2))
21.022 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.023 * [backup-simplify]: Simplify (+ 0) into 0
21.023 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
21.023 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
21.024 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
21.024 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
21.024 * [backup-simplify]: Simplify (- 0) into 0
21.025 * [backup-simplify]: Simplify (+ 0 0) into 0
21.025 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
21.025 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
21.025 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
21.025 * [taylor]: Taking taylor expansion of 0 in K
21.025 * [backup-simplify]: Simplify 0 into 0
21.025 * [backup-simplify]: Simplify 0 into 0
21.025 * [taylor]: Taking taylor expansion of 0 in K
21.025 * [backup-simplify]: Simplify 0 into 0
21.025 * [backup-simplify]: Simplify 0 into 0
21.025 * [taylor]: Taking taylor expansion of 0 in K
21.025 * [backup-simplify]: Simplify 0 into 0
21.025 * [backup-simplify]: Simplify 0 into 0
21.025 * [backup-simplify]: Simplify 0 into 0
21.026 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.026 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
21.026 * [backup-simplify]: Simplify (+ 0) into 0
21.026 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
21.027 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
21.027 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
21.027 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
21.028 * [backup-simplify]: Simplify (- 0) into 0
21.028 * [backup-simplify]: Simplify (+ 0 0) into 0
21.028 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
21.028 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0
21.028 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
21.029 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0
21.029 * [backup-simplify]: Simplify (+ 0 0) into 0
21.030 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0
21.030 * [taylor]: Taking taylor expansion of 0 in J
21.030 * [backup-simplify]: Simplify 0 into 0
21.030 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.031 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
21.031 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
21.032 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
21.032 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
21.032 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
21.033 * [backup-simplify]: Simplify (- 0) into 0
21.033 * [backup-simplify]: Simplify (+ 0 0) into 0
21.033 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0
21.034 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
21.034 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
21.034 * [taylor]: Taking taylor expansion of 0 in K
21.034 * [backup-simplify]: Simplify 0 into 0
21.034 * [backup-simplify]: Simplify 0 into 0
21.034 * [taylor]: Taking taylor expansion of 0 in K
21.034 * [backup-simplify]: Simplify 0 into 0
21.034 * [backup-simplify]: Simplify 0 into 0
21.034 * [backup-simplify]: Simplify 1 into 1
21.034 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
21.034 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U J K) around 0
21.034 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K
21.034 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K
21.034 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
21.034 * [taylor]: Taking taylor expansion of 1/4 in K
21.035 * [backup-simplify]: Simplify 1/4 into 1/4
21.035 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
21.035 * [taylor]: Taking taylor expansion of (pow J 2) in K
21.035 * [taylor]: Taking taylor expansion of J in K
21.035 * [backup-simplify]: Simplify J into J
21.035 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
21.035 * [taylor]: Taking taylor expansion of (pow U 2) in K
21.035 * [taylor]: Taking taylor expansion of U in K
21.035 * [backup-simplify]: Simplify U into U
21.035 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
21.035 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
21.035 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
21.035 * [taylor]: Taking taylor expansion of 1/2 in K
21.035 * [backup-simplify]: Simplify 1/2 into 1/2
21.035 * [taylor]: Taking taylor expansion of K in K
21.035 * [backup-simplify]: Simplify 0 into 0
21.035 * [backup-simplify]: Simplify 1 into 1
21.035 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
21.035 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
21.035 * [backup-simplify]: Simplify (* J J) into (pow J 2)
21.035 * [backup-simplify]: Simplify (* U U) into (pow U 2)
21.035 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
21.035 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
21.035 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
21.035 * [taylor]: Taking taylor expansion of 1 in K
21.035 * [backup-simplify]: Simplify 1 into 1
21.036 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))
21.036 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)
21.036 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
21.036 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
21.036 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
21.036 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
21.036 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
21.037 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
21.037 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
21.037 * [backup-simplify]: Simplify (+ 0 0) into 0
21.038 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
21.038 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
21.038 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
21.038 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
21.038 * [taylor]: Taking taylor expansion of 1/4 in J
21.038 * [backup-simplify]: Simplify 1/4 into 1/4
21.038 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
21.038 * [taylor]: Taking taylor expansion of (pow J 2) in J
21.038 * [taylor]: Taking taylor expansion of J in J
21.038 * [backup-simplify]: Simplify 0 into 0
21.038 * [backup-simplify]: Simplify 1 into 1
21.038 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
21.038 * [taylor]: Taking taylor expansion of (pow U 2) in J
21.038 * [taylor]: Taking taylor expansion of U in J
21.038 * [backup-simplify]: Simplify U into U
21.038 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
21.038 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
21.038 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
21.038 * [taylor]: Taking taylor expansion of 1/2 in J
21.038 * [backup-simplify]: Simplify 1/2 into 1/2
21.038 * [taylor]: Taking taylor expansion of K in J
21.038 * [backup-simplify]: Simplify K into K
21.038 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
21.038 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
21.038 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
21.038 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
21.038 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
21.038 * [backup-simplify]: Simplify (- 0) into 0
21.038 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
21.039 * [backup-simplify]: Simplify (* 1 1) into 1
21.039 * [backup-simplify]: Simplify (* U U) into (pow U 2)
21.039 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
21.039 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
21.039 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
21.039 * [taylor]: Taking taylor expansion of 1 in J
21.039 * [backup-simplify]: Simplify 1 into 1
21.039 * [backup-simplify]: Simplify (+ 0 1) into 1
21.040 * [backup-simplify]: Simplify (sqrt 1) into 1
21.040 * [backup-simplify]: Simplify (+ 0 0) into 0
21.040 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
21.040 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
21.040 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
21.040 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
21.040 * [taylor]: Taking taylor expansion of 1/4 in U
21.040 * [backup-simplify]: Simplify 1/4 into 1/4
21.040 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
21.040 * [taylor]: Taking taylor expansion of (pow J 2) in U
21.040 * [taylor]: Taking taylor expansion of J in U
21.040 * [backup-simplify]: Simplify J into J
21.040 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
21.040 * [taylor]: Taking taylor expansion of (pow U 2) in U
21.040 * [taylor]: Taking taylor expansion of U in U
21.040 * [backup-simplify]: Simplify 0 into 0
21.040 * [backup-simplify]: Simplify 1 into 1
21.040 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
21.040 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
21.041 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
21.041 * [taylor]: Taking taylor expansion of 1/2 in U
21.041 * [backup-simplify]: Simplify 1/2 into 1/2
21.041 * [taylor]: Taking taylor expansion of K in U
21.041 * [backup-simplify]: Simplify K into K
21.041 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
21.041 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
21.041 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
21.041 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
21.041 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
21.041 * [backup-simplify]: Simplify (- 0) into 0
21.041 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
21.041 * [backup-simplify]: Simplify (* J J) into (pow J 2)
21.041 * [backup-simplify]: Simplify (* 1 1) into 1
21.041 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
21.042 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
21.042 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
21.042 * [taylor]: Taking taylor expansion of 1 in U
21.042 * [backup-simplify]: Simplify 1 into 1
21.042 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
21.042 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
21.042 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
21.042 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
21.043 * [backup-simplify]: Simplify (+ 0) into 0
21.043 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
21.043 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
21.043 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
21.044 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
21.044 * [backup-simplify]: Simplify (- 0) into 0
21.044 * [backup-simplify]: Simplify (+ 0 0) into 0
21.044 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
21.045 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.045 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
21.046 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
21.046 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
21.047 * [backup-simplify]: Simplify (+ 0 0) into 0
21.047 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
21.047 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
21.047 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
21.047 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
21.047 * [taylor]: Taking taylor expansion of 1/4 in U
21.047 * [backup-simplify]: Simplify 1/4 into 1/4
21.047 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
21.047 * [taylor]: Taking taylor expansion of (pow J 2) in U
21.047 * [taylor]: Taking taylor expansion of J in U
21.047 * [backup-simplify]: Simplify J into J
21.047 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
21.047 * [taylor]: Taking taylor expansion of (pow U 2) in U
21.047 * [taylor]: Taking taylor expansion of U in U
21.047 * [backup-simplify]: Simplify 0 into 0
21.047 * [backup-simplify]: Simplify 1 into 1
21.047 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
21.047 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
21.047 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
21.047 * [taylor]: Taking taylor expansion of 1/2 in U
21.047 * [backup-simplify]: Simplify 1/2 into 1/2
21.047 * [taylor]: Taking taylor expansion of K in U
21.047 * [backup-simplify]: Simplify K into K
21.047 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
21.047 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
21.047 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
21.047 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
21.047 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
21.048 * [backup-simplify]: Simplify (- 0) into 0
21.048 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
21.048 * [backup-simplify]: Simplify (* J J) into (pow J 2)
21.048 * [backup-simplify]: Simplify (* 1 1) into 1
21.048 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
21.048 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
21.048 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
21.048 * [taylor]: Taking taylor expansion of 1 in U
21.048 * [backup-simplify]: Simplify 1 into 1
21.048 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
21.048 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
21.049 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
21.049 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
21.049 * [backup-simplify]: Simplify (+ 0) into 0
21.049 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
21.049 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
21.050 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
21.050 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
21.050 * [backup-simplify]: Simplify (- 0) into 0
21.051 * [backup-simplify]: Simplify (+ 0 0) into 0
21.051 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
21.051 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.051 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
21.052 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
21.052 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
21.052 * [backup-simplify]: Simplify (+ 0 0) into 0
21.052 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
21.052 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J
21.052 * [taylor]: Taking taylor expansion of 1/2 in J
21.052 * [backup-simplify]: Simplify 1/2 into 1/2
21.052 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J
21.052 * [taylor]: Taking taylor expansion of J in J
21.053 * [backup-simplify]: Simplify 0 into 0
21.053 * [backup-simplify]: Simplify 1 into 1
21.053 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
21.053 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
21.053 * [taylor]: Taking taylor expansion of 1/2 in J
21.053 * [backup-simplify]: Simplify 1/2 into 1/2
21.053 * [taylor]: Taking taylor expansion of K in J
21.053 * [backup-simplify]: Simplify K into K
21.053 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
21.053 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
21.053 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
21.053 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
21.053 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
21.053 * [backup-simplify]: Simplify (- 0) into 0
21.053 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
21.053 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K)))
21.053 * [taylor]: Taking taylor expansion of 0 in J
21.053 * [backup-simplify]: Simplify 0 into 0
21.053 * [taylor]: Taking taylor expansion of 0 in K
21.053 * [backup-simplify]: Simplify 0 into 0
21.053 * [backup-simplify]: Simplify 0 into 0
21.053 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K)))
21.053 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K
21.053 * [taylor]: Taking taylor expansion of 1/2 in K
21.053 * [backup-simplify]: Simplify 1/2 into 1/2
21.053 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
21.053 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
21.053 * [taylor]: Taking taylor expansion of 1/2 in K
21.053 * [backup-simplify]: Simplify 1/2 into 1/2
21.053 * [taylor]: Taking taylor expansion of K in K
21.053 * [backup-simplify]: Simplify 0 into 0
21.054 * [backup-simplify]: Simplify 1 into 1
21.054 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
21.054 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
21.054 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
21.054 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
21.056 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
21.056 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
21.057 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
21.057 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
21.058 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
21.058 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
21.059 * [backup-simplify]: Simplify (- 0) into 0
21.059 * [backup-simplify]: Simplify (+ 0 0) into 0
21.059 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
21.060 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.061 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
21.062 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
21.062 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0
21.063 * [backup-simplify]: Simplify (+ 0 1) into 1
21.063 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J)
21.063 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
21.063 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
21.063 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
21.063 * [taylor]: Taking taylor expansion of 1/2 in J
21.063 * [backup-simplify]: Simplify 1/2 into 1/2
21.063 * [taylor]: Taking taylor expansion of K in J
21.063 * [backup-simplify]: Simplify K into K
21.063 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
21.063 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
21.063 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
21.063 * [taylor]: Taking taylor expansion of J in J
21.063 * [backup-simplify]: Simplify 0 into 0
21.063 * [backup-simplify]: Simplify 1 into 1
21.063 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
21.063 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
21.064 * [backup-simplify]: Simplify (- 0) into 0
21.064 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
21.064 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
21.064 * [backup-simplify]: Simplify (+ 0) into 0
21.064 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
21.064 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
21.065 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
21.065 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
21.065 * [backup-simplify]: Simplify (- 0) into 0
21.066 * [backup-simplify]: Simplify (+ 0 0) into 0
21.066 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0
21.066 * [taylor]: Taking taylor expansion of 0 in K
21.066 * [backup-simplify]: Simplify 0 into 0
21.066 * [backup-simplify]: Simplify 0 into 0
21.066 * [taylor]: Taking taylor expansion of 0 in K
21.066 * [backup-simplify]: Simplify 0 into 0
21.066 * [backup-simplify]: Simplify 0 into 0
21.067 * [backup-simplify]: Simplify (+ 0) into 0
21.067 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
21.067 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
21.067 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
21.068 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
21.068 * [backup-simplify]: Simplify (- 0) into 0
21.068 * [backup-simplify]: Simplify (+ 0 0) into 0
21.068 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
21.069 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0
21.069 * [taylor]: Taking taylor expansion of 0 in K
21.069 * [backup-simplify]: Simplify 0 into 0
21.069 * [backup-simplify]: Simplify 0 into 0
21.069 * [backup-simplify]: Simplify 0 into 0
21.069 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
21.069 * [backup-simplify]: Simplify 0 into 0
21.069 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
21.070 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
21.070 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.071 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
21.071 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
21.072 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
21.072 * [backup-simplify]: Simplify (- 0) into 0
21.072 * [backup-simplify]: Simplify (+ 0 0) into 0
21.073 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
21.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.074 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0
21.074 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
21.075 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
21.076 * [backup-simplify]: Simplify (+ 0 0) into 0
21.076 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0
21.076 * [taylor]: Taking taylor expansion of 0 in J
21.076 * [backup-simplify]: Simplify 0 into 0
21.076 * [taylor]: Taking taylor expansion of 0 in K
21.076 * [backup-simplify]: Simplify 0 into 0
21.076 * [backup-simplify]: Simplify 0 into 0
21.076 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
21.076 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))
21.076 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U J K) around 0
21.076 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K
21.076 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K
21.076 * [taylor]: Taking taylor expansion of 1 in K
21.076 * [backup-simplify]: Simplify 1 into 1
21.076 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
21.076 * [taylor]: Taking taylor expansion of 1/4 in K
21.076 * [backup-simplify]: Simplify 1/4 into 1/4
21.076 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
21.076 * [taylor]: Taking taylor expansion of (pow J 2) in K
21.076 * [taylor]: Taking taylor expansion of J in K
21.077 * [backup-simplify]: Simplify J into J
21.077 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
21.077 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
21.077 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
21.077 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
21.077 * [taylor]: Taking taylor expansion of -1/2 in K
21.077 * [backup-simplify]: Simplify -1/2 into -1/2
21.077 * [taylor]: Taking taylor expansion of K in K
21.077 * [backup-simplify]: Simplify 0 into 0
21.077 * [backup-simplify]: Simplify 1 into 1
21.077 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
21.077 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
21.077 * [taylor]: Taking taylor expansion of (pow U 2) in K
21.077 * [taylor]: Taking taylor expansion of U in K
21.077 * [backup-simplify]: Simplify U into U
21.077 * [backup-simplify]: Simplify (* J J) into (pow J 2)
21.077 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
21.077 * [backup-simplify]: Simplify (* U U) into (pow U 2)
21.077 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
21.077 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
21.078 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
21.078 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))
21.078 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))
21.078 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
21.078 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
21.078 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
21.078 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
21.079 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0
21.079 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
21.079 * [backup-simplify]: Simplify (+ 0 0) into 0
21.080 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0
21.080 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
21.080 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
21.080 * [taylor]: Taking taylor expansion of 1 in J
21.080 * [backup-simplify]: Simplify 1 into 1
21.080 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
21.080 * [taylor]: Taking taylor expansion of 1/4 in J
21.080 * [backup-simplify]: Simplify 1/4 into 1/4
21.080 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
21.080 * [taylor]: Taking taylor expansion of (pow J 2) in J
21.080 * [taylor]: Taking taylor expansion of J in J
21.080 * [backup-simplify]: Simplify 0 into 0
21.080 * [backup-simplify]: Simplify 1 into 1
21.080 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
21.080 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
21.080 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
21.080 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
21.080 * [taylor]: Taking taylor expansion of -1/2 in J
21.080 * [backup-simplify]: Simplify -1/2 into -1/2
21.080 * [taylor]: Taking taylor expansion of K in J
21.080 * [backup-simplify]: Simplify K into K
21.080 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
21.080 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
21.080 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
21.080 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
21.080 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
21.080 * [backup-simplify]: Simplify (- 0) into 0
21.080 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
21.080 * [taylor]: Taking taylor expansion of (pow U 2) in J
21.080 * [taylor]: Taking taylor expansion of U in J
21.080 * [backup-simplify]: Simplify U into U
21.081 * [backup-simplify]: Simplify (* 1 1) into 1
21.081 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
21.081 * [backup-simplify]: Simplify (* U U) into (pow U 2)
21.081 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
21.081 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
21.081 * [backup-simplify]: Simplify (+ 1 0) into 1
21.082 * [backup-simplify]: Simplify (sqrt 1) into 1
21.082 * [backup-simplify]: Simplify (+ 0 0) into 0
21.082 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
21.082 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
21.082 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
21.082 * [taylor]: Taking taylor expansion of 1 in U
21.082 * [backup-simplify]: Simplify 1 into 1
21.082 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
21.082 * [taylor]: Taking taylor expansion of 1/4 in U
21.082 * [backup-simplify]: Simplify 1/4 into 1/4
21.082 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
21.082 * [taylor]: Taking taylor expansion of (pow J 2) in U
21.082 * [taylor]: Taking taylor expansion of J in U
21.082 * [backup-simplify]: Simplify J into J
21.082 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
21.082 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
21.082 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
21.082 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
21.082 * [taylor]: Taking taylor expansion of -1/2 in U
21.082 * [backup-simplify]: Simplify -1/2 into -1/2
21.082 * [taylor]: Taking taylor expansion of K in U
21.082 * [backup-simplify]: Simplify K into K
21.083 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
21.083 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
21.083 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
21.083 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
21.083 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
21.083 * [backup-simplify]: Simplify (- 0) into 0
21.083 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
21.083 * [taylor]: Taking taylor expansion of (pow U 2) in U
21.083 * [taylor]: Taking taylor expansion of U in U
21.083 * [backup-simplify]: Simplify 0 into 0
21.083 * [backup-simplify]: Simplify 1 into 1
21.083 * [backup-simplify]: Simplify (* J J) into (pow J 2)
21.083 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
21.083 * [backup-simplify]: Simplify (* 1 1) into 1
21.084 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
21.084 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
21.084 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
21.084 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
21.084 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
21.084 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
21.084 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.085 * [backup-simplify]: Simplify (+ 0) into 0
21.085 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
21.085 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
21.086 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
21.086 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
21.086 * [backup-simplify]: Simplify (- 0) into 0
21.086 * [backup-simplify]: Simplify (+ 0 0) into 0
21.086 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
21.087 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
21.087 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
21.087 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
21.088 * [backup-simplify]: Simplify (+ 0 0) into 0
21.088 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
21.088 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
21.088 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
21.088 * [taylor]: Taking taylor expansion of 1 in U
21.088 * [backup-simplify]: Simplify 1 into 1
21.088 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
21.088 * [taylor]: Taking taylor expansion of 1/4 in U
21.088 * [backup-simplify]: Simplify 1/4 into 1/4
21.088 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
21.088 * [taylor]: Taking taylor expansion of (pow J 2) in U
21.088 * [taylor]: Taking taylor expansion of J in U
21.088 * [backup-simplify]: Simplify J into J
21.088 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
21.088 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
21.088 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
21.088 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
21.088 * [taylor]: Taking taylor expansion of -1/2 in U
21.088 * [backup-simplify]: Simplify -1/2 into -1/2
21.088 * [taylor]: Taking taylor expansion of K in U
21.088 * [backup-simplify]: Simplify K into K
21.088 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
21.088 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
21.088 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
21.088 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
21.088 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
21.089 * [backup-simplify]: Simplify (- 0) into 0
21.089 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
21.089 * [taylor]: Taking taylor expansion of (pow U 2) in U
21.089 * [taylor]: Taking taylor expansion of U in U
21.089 * [backup-simplify]: Simplify 0 into 0
21.089 * [backup-simplify]: Simplify 1 into 1
21.089 * [backup-simplify]: Simplify (* J J) into (pow J 2)
21.089 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
21.089 * [backup-simplify]: Simplify (* 1 1) into 1
21.089 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
21.089 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
21.089 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
21.089 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
21.090 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
21.090 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
21.090 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.090 * [backup-simplify]: Simplify (+ 0) into 0
21.091 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
21.091 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
21.091 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
21.091 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
21.092 * [backup-simplify]: Simplify (- 0) into 0
21.092 * [backup-simplify]: Simplify (+ 0 0) into 0
21.092 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
21.093 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
21.093 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
21.093 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
21.093 * [backup-simplify]: Simplify (+ 0 0) into 0
21.094 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
21.094 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J
21.094 * [taylor]: Taking taylor expansion of 1/2 in J
21.094 * [backup-simplify]: Simplify 1/2 into 1/2
21.094 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J
21.094 * [taylor]: Taking taylor expansion of J in J
21.094 * [backup-simplify]: Simplify 0 into 0
21.094 * [backup-simplify]: Simplify 1 into 1
21.094 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
21.094 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
21.094 * [taylor]: Taking taylor expansion of -1/2 in J
21.094 * [backup-simplify]: Simplify -1/2 into -1/2
21.094 * [taylor]: Taking taylor expansion of K in J
21.094 * [backup-simplify]: Simplify K into K
21.094 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
21.094 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
21.094 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
21.094 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
21.094 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
21.094 * [backup-simplify]: Simplify (- 0) into 0
21.094 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
21.094 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K)))
21.094 * [taylor]: Taking taylor expansion of 0 in J
21.094 * [backup-simplify]: Simplify 0 into 0
21.095 * [taylor]: Taking taylor expansion of 0 in K
21.095 * [backup-simplify]: Simplify 0 into 0
21.095 * [backup-simplify]: Simplify 0 into 0
21.095 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K)))
21.095 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K
21.095 * [taylor]: Taking taylor expansion of 1/2 in K
21.095 * [backup-simplify]: Simplify 1/2 into 1/2
21.095 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
21.095 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
21.095 * [taylor]: Taking taylor expansion of -1/2 in K
21.095 * [backup-simplify]: Simplify -1/2 into -1/2
21.095 * [taylor]: Taking taylor expansion of K in K
21.095 * [backup-simplify]: Simplify 0 into 0
21.095 * [backup-simplify]: Simplify 1 into 1
21.095 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
21.095 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
21.095 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
21.095 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
21.095 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
21.096 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.097 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
21.097 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
21.097 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
21.098 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
21.098 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
21.098 * [backup-simplify]: Simplify (- 0) into 0
21.098 * [backup-simplify]: Simplify (+ 0 0) into 0
21.099 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
21.099 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
21.099 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
21.100 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0
21.100 * [backup-simplify]: Simplify (+ 1 0) into 1
21.101 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J)
21.101 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
21.101 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
21.101 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
21.101 * [taylor]: Taking taylor expansion of -1/2 in J
21.101 * [backup-simplify]: Simplify -1/2 into -1/2
21.101 * [taylor]: Taking taylor expansion of K in J
21.101 * [backup-simplify]: Simplify K into K
21.101 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
21.101 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
21.101 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
21.101 * [taylor]: Taking taylor expansion of J in J
21.101 * [backup-simplify]: Simplify 0 into 0
21.101 * [backup-simplify]: Simplify 1 into 1
21.101 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
21.101 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
21.101 * [backup-simplify]: Simplify (- 0) into 0
21.101 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
21.102 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
21.102 * [backup-simplify]: Simplify (+ 0) into 0
21.102 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
21.102 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
21.103 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
21.103 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
21.103 * [backup-simplify]: Simplify (- 0) into 0
21.103 * [backup-simplify]: Simplify (+ 0 0) into 0
21.104 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0
21.104 * [taylor]: Taking taylor expansion of 0 in K
21.104 * [backup-simplify]: Simplify 0 into 0
21.104 * [backup-simplify]: Simplify 0 into 0
21.104 * [taylor]: Taking taylor expansion of 0 in K
21.104 * [backup-simplify]: Simplify 0 into 0
21.104 * [backup-simplify]: Simplify 0 into 0
21.104 * [backup-simplify]: Simplify (+ 0) into 0
21.105 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
21.105 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
21.105 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
21.106 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
21.106 * [backup-simplify]: Simplify (- 0) into 0
21.106 * [backup-simplify]: Simplify (+ 0 0) into 0
21.106 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
21.107 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0
21.107 * [taylor]: Taking taylor expansion of 0 in K
21.107 * [backup-simplify]: Simplify 0 into 0
21.107 * [backup-simplify]: Simplify 0 into 0
21.107 * [backup-simplify]: Simplify 0 into 0
21.107 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
21.107 * [backup-simplify]: Simplify 0 into 0
21.107 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
21.108 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.109 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
21.109 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.109 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
21.110 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
21.110 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
21.111 * [backup-simplify]: Simplify (- 0) into 0
21.111 * [backup-simplify]: Simplify (+ 0 0) into 0
21.111 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
21.112 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.112 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
21.113 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
21.113 * [backup-simplify]: Simplify (+ 0 0) into 0
21.114 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
21.114 * [taylor]: Taking taylor expansion of 0 in J
21.114 * [backup-simplify]: Simplify 0 into 0
21.114 * [taylor]: Taking taylor expansion of 0 in K
21.114 * [backup-simplify]: Simplify 0 into 0
21.114 * [backup-simplify]: Simplify 0 into 0
21.114 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
21.114 * * * [progress]: simplifying candidates
21.114 * * * * [progress]: [ 1 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (pow (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) 1/2)) (* (cos (/ K 2)) (* -2 J)))))))>
21.114 * * * * [progress]: [ 2 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (pow (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) 1)) (* (cos (/ K 2)) (* -2 J)))))))>
21.114 * * * * [progress]: [ 3 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (exp (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (cos (/ K 2)) (* -2 J)))))))>
21.114 * * * * [progress]: [ 4 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (log (exp (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (cos (/ K 2)) (* -2 J)))))))>
21.114 * * * * [progress]: [ 5 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (cos (/ K 2)) (* -2 J)))))))>
21.114 * * * * [progress]: [ 6 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (cos (/ K 2)) (* -2 J)))))))>
21.114 * * * * [progress]: [ 7 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (* (sqrt (* (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (sqrt (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (cos (/ K 2)) (* -2 J)))))))>
21.114 * * * * [progress]: [ 8 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (cos (/ K 2)) (* -2 J)))))))>
21.114 * * * * [progress]: [ 9 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (* (sqrt 1) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))))))>
21.114 * * * * [progress]: [ 10 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (/ (sqrt (+ (pow (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 3) (pow 1 3))) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))) (* (cos (/ K 2)) (* -2 J)))))))>
21.115 * * * * [progress]: [ 11 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (/ (sqrt (- (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* 1 1))) (sqrt (- (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))))))>
21.115 * * * * [progress]: [ 12 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (pow (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) (/ 1 2))) (* (cos (/ K 2)) (* -2 J)))))))>
21.115 * * * * [progress]: [ 13 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (cos (/ K 2)) (* -2 J)))))))>
21.115 * * * * [progress]: [ 14 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (fabs (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))))))>
21.115 * * * * [progress]: [ 15 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (* 1 (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))))))>
21.115 * * * * [progress]: [ 16 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (posit16->real (real->posit16 (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (cos (/ K 2)) (* -2 J)))))))>
21.115 * * * * [progress]: [ 17 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (pow (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) 1/2)) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
21.115 * * * * [progress]: [ 18 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (pow (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) 1)) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
21.115 * * * * [progress]: [ 19 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (exp (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
21.115 * * * * [progress]: [ 20 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (log (exp (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
21.115 * * * * [progress]: [ 21 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
21.115 * * * * [progress]: [ 22 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
21.115 * * * * [progress]: [ 23 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (* (sqrt (* (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (sqrt (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
21.115 * * * * [progress]: [ 24 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
21.115 * * * * [progress]: [ 25 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (* (sqrt 1) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
21.115 * * * * [progress]: [ 26 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (/ (sqrt (+ (pow (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 3) (pow 1 3))) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
21.116 * * * * [progress]: [ 27 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (/ (sqrt (- (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* 1 1))) (sqrt (- (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
21.116 * * * * [progress]: [ 28 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (pow (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) (/ 1 2))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
21.116 * * * * [progress]: [ 29 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
21.116 * * * * [progress]: [ 30 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (fabs (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
21.116 * * * * [progress]: [ 31 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (* 1 (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
21.116 * * * * [progress]: [ 32 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (posit16->real (real->posit16 (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
21.116 * * * * [progress]: [ 33 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (pow (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) 1/2) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
21.116 * * * * [progress]: [ 34 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (pow (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) 1) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
21.116 * * * * [progress]: [ 35 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (exp (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
21.116 * * * * [progress]: [ 36 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (log (exp (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
21.116 * * * * [progress]: [ 37 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
21.116 * * * * [progress]: [ 38 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
21.116 * * * * [progress]: [ 39 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (* (sqrt (* (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (sqrt (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
21.116 * * * * [progress]: [ 40 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
21.116 * * * * [progress]: [ 41 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (* (sqrt 1) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
21.116 * * * * [progress]: [ 42 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (/ (sqrt (+ (pow (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 3) (pow 1 3))) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
21.117 * * * * [progress]: [ 43 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (/ (sqrt (- (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* 1 1))) (sqrt (- (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
21.117 * * * * [progress]: [ 44 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (pow (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) (/ 1 2)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
21.117 * * * * [progress]: [ 45 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
21.117 * * * * [progress]: [ 46 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (fabs (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
21.117 * * * * [progress]: [ 47 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (* 1 (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
21.117 * * * * [progress]: [ 48 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (posit16->real (real->posit16 (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
21.117 * * * * [progress]: [ 49 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (pow (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) 1/2))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
21.117 * * * * [progress]: [ 50 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (pow (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) 1))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
21.117 * * * * [progress]: [ 51 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (exp (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
21.117 * * * * [progress]: [ 52 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (log (exp (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
21.117 * * * * [progress]: [ 53 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
21.117 * * * * [progress]: [ 54 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
21.117 * * * * [progress]: [ 55 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (* (sqrt (* (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (sqrt (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
21.117 * * * * [progress]: [ 56 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
21.117 * * * * [progress]: [ 57 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (* (sqrt 1) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
21.117 * * * * [progress]: [ 58 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (/ (sqrt (+ (pow (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 3) (pow 1 3))) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
21.118 * * * * [progress]: [ 59 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (/ (sqrt (- (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* 1 1))) (sqrt (- (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
21.118 * * * * [progress]: [ 60 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (pow (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) (/ 1 2)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
21.118 * * * * [progress]: [ 61 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
21.118 * * * * [progress]: [ 62 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (fabs (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
21.118 * * * * [progress]: [ 63 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (* 1 (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
21.118 * * * * [progress]: [ 64 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (posit16->real (real->posit16 (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
21.118 * * * * [progress]: [ 65 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt 1) (* (cos (/ K 2)) (* -2 J)))))))>
21.118 * * * * [progress]: [ 66 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) (* (cos (/ K 2)) (* -2 J)))))))>
21.118 * * * * [progress]: [ 67 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) (* (cos (/ K 2)) (* -2 J)))))))>
21.118 * * * * [progress]: [ 68 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt 1) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
21.118 * * * * [progress]: [ 69 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
21.118 * * * * [progress]: [ 70 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
21.118 * * * * [progress]: [ 71 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* 1 (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
21.118 * * * * [progress]: [ 72 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
21.118 * * * * [progress]: [ 73 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
21.118 * * * * [progress]: [ 74 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
21.118 * * * * [progress]: [ 75 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
21.118 * * * * [progress]: [ 76 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
21.119 * [simplify]: Simplifying:
  (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (exp (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))
  (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt (* (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))
  (sqrt (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt 1)
  (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))
  (sqrt (+ (pow (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 3) (pow 1 3)))
  (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))
  (sqrt (- (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* 1 1)))
  (sqrt (- (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))
  (/ 1 2)
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (real->posit16 (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (exp (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))
  (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt (* (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))
  (sqrt (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt 1)
  (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))
  (sqrt (+ (pow (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 3) (pow 1 3)))
  (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))
  (sqrt (- (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* 1 1)))
  (sqrt (- (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))
  (/ 1 2)
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (real->posit16 (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (exp (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))
  (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt (* (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))
  (sqrt (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt 1)
  (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))
  (sqrt (+ (pow (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 3) (pow 1 3)))
  (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))
  (sqrt (- (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* 1 1)))
  (sqrt (- (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))
  (/ 1 2)
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (real->posit16 (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (exp (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))
  (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt (* (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))
  (sqrt (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt 1)
  (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))
  (sqrt (+ (pow (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 3) (pow 1 3)))
  (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))
  (sqrt (- (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* 1 1)))
  (sqrt (- (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))
  (/ 1 2)
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (real->posit16 (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  1
  (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
  (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
  1
  (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
  (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
  1
  (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
  (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
  1
  (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
  (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
21.121 * * [simplify]: iteration 1: (48 enodes)
21.136 * * [simplify]: iteration 2: (94 enodes)
21.159 * * [simplify]: iteration 3: (251 enodes)
21.398 * * [simplify]: iteration 4: (1344 enodes)
27.488 * * [simplify]: Extracting #0: cost 17 inf + 0
27.489 * * [simplify]: Extracting #1: cost 47 inf + 2
27.490 * * [simplify]: Extracting #2: cost 213 inf + 161
27.499 * * [simplify]: Extracting #3: cost 1561 inf + 498
27.535 * * [simplify]: Extracting #4: cost 3501 inf + 37043
27.788 * * [simplify]: Extracting #5: cost 1428 inf + 802907
28.343 * * [simplify]: Extracting #6: cost 35 inf + 1339223
28.881 * * [simplify]: Extracting #7: cost 0 inf + 1344444
29.442 * * [simplify]: Extracting #8: cost 0 inf + 1344126
30.026 * [simplify]: Simplified to:
  (log (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1)))
  (exp (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1)))
  (* (cbrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1))) (cbrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1))))
  (cbrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1)))
  (* (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1)) (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1))
  (fabs (cbrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1)))
  (sqrt (cbrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1)))
  (sqrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1)))
  (sqrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1)))
  1
  (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1))
  (sqrt (+ (* (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) (* (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)))) 1))
  (sqrt (+ (* (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J))) (- 1 (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)))))
  (sqrt (- (* (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J))) 1))
  (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) -1))
  1/2
  (sqrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1)))
  (sqrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1)))
  (real->posit16 (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1)))
  (log (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1)))
  (exp (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1)))
  (* (cbrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1))) (cbrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1))))
  (cbrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1)))
  (* (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1)) (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1))
  (fabs (cbrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1)))
  (sqrt (cbrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1)))
  (sqrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1)))
  (sqrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1)))
  1
  (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1))
  (sqrt (+ (* (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) (* (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)))) 1))
  (sqrt (+ (* (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J))) (- 1 (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)))))
  (sqrt (- (* (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J))) 1))
  (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) -1))
  1/2
  (sqrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1)))
  (sqrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1)))
  (real->posit16 (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1)))
  (log (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1)))
  (exp (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1)))
  (* (cbrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1))) (cbrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1))))
  (cbrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1)))
  (* (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1)) (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1))
  (fabs (cbrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1)))
  (sqrt (cbrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1)))
  (sqrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1)))
  (sqrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1)))
  1
  (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1))
  (sqrt (+ (* (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) (* (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)))) 1))
  (sqrt (+ (* (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J))) (- 1 (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)))))
  (sqrt (- (* (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J))) 1))
  (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) -1))
  1/2
  (sqrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1)))
  (sqrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1)))
  (real->posit16 (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1)))
  (log (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1)))
  (exp (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1)))
  (* (cbrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1))) (cbrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1))))
  (cbrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1)))
  (* (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1)) (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1))
  (fabs (cbrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1)))
  (sqrt (cbrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1)))
  (sqrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1)))
  (sqrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1)))
  1
  (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1))
  (sqrt (+ (* (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) (* (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)))) 1))
  (sqrt (+ (* (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J))) (- 1 (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)))))
  (sqrt (- (* (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J))) 1))
  (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) -1))
  1/2
  (sqrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1)))
  (sqrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1)))
  (real->posit16 (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) 1)))
  1
  (/ 1/2 (* (/ J U) (cos (* 1/2 K))))
  (/ 1/2 (* (/ J U) (cos (* 1/2 K))))
  1
  (/ 1/2 (* (/ J U) (cos (* 1/2 K))))
  (/ 1/2 (* (/ J U) (cos (* 1/2 K))))
  1
  (/ 1/2 (* (/ J U) (cos (* 1/2 K))))
  (/ 1/2 (* (/ J U) (cos (* 1/2 K))))
  1
  (/ 1/2 (* (/ J U) (cos (* 1/2 K))))
  (/ 1/2 (* (/ J U) (cos (* 1/2 K))))
30.053 * * * [progress]: adding candidates to table
30.861 * [progress]: [Phase 3 of 3] Extracting.
30.861 * * [regime]: Finding splitpoints for: (#<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (posit16->real (real->posit16 (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))> #<alt (λ (J K U) (- U))> #<alt (λ (J K U) (/ (* (cos (/ K 2)) (* (* J -2) (sqrt (+ 1 (* (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2))))))))) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))> #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))> #<alt (λ (J K U) (* (* (cbrt (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))> #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))> #<alt (λ (J K U) (* (sqrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (sqrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))> #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))))>)
30.867 * * * [regime-changes]: Trying 5 branch expressions: ((/ K 2) (cos (/ K 2)) U K J)
30.867 * * * * [regimes]: Trying to branch on (/ K 2) from (#<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (posit16->real (real->posit16 (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))> #<alt (λ (J K U) (- U))> #<alt (λ (J K U) (/ (* (cos (/ K 2)) (* (* J -2) (sqrt (+ 1 (* (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2))))))))) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))> #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))> #<alt (λ (J K U) (* (* (cbrt (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))> #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))> #<alt (λ (J K U) (* (sqrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (sqrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))> #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))))>)
30.978 * * * * [regimes]: Trying to branch on (cos (/ K 2)) from (#<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (posit16->real (real->posit16 (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))> #<alt (λ (J K U) (- U))> #<alt (λ (J K U) (/ (* (cos (/ K 2)) (* (* J -2) (sqrt (+ 1 (* (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2))))))))) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))> #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))> #<alt (λ (J K U) (* (* (cbrt (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))> #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))> #<alt (λ (J K U) (* (sqrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (sqrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))> #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))))>)
31.104 * * * * [regimes]: Trying to branch on U from (#<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (posit16->real (real->posit16 (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))> #<alt (λ (J K U) (- U))> #<alt (λ (J K U) (/ (* (cos (/ K 2)) (* (* J -2) (sqrt (+ 1 (* (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2))))))))) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))> #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))> #<alt (λ (J K U) (* (* (cbrt (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))> #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))> #<alt (λ (J K U) (* (sqrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (sqrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))> #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))))>)
31.186 * * * * [regimes]: Trying to branch on K from (#<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (posit16->real (real->posit16 (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))> #<alt (λ (J K U) (- U))> #<alt (λ (J K U) (/ (* (cos (/ K 2)) (* (* J -2) (sqrt (+ 1 (* (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2))))))))) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))> #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))> #<alt (λ (J K U) (* (* (cbrt (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))> #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))> #<alt (λ (J K U) (* (sqrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (sqrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))> #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))))>)
31.283 * * * * [regimes]: Trying to branch on J from (#<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (posit16->real (real->posit16 (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))> #<alt (λ (J K U) (- U))> #<alt (λ (J K U) (/ (* (cos (/ K 2)) (* (* J -2) (sqrt (+ 1 (* (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2))))))))) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))> #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))> #<alt (λ (J K U) (* (* (cbrt (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))> #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))> #<alt (λ (J K U) (* (sqrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (sqrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))> #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))))>)
31.383 * * * [regime]: Found split indices: #<option (#s(si 5 116) #s(si 1 153) #s(si 5 255))>
31.384 * [binary-search]: Improving bounds with binary search for J and (#<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (posit16->real (real->posit16 (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))> #<alt (λ (J K U) (- U))> #<alt (λ (J K U) (/ (* (cos (/ K 2)) (* (* J -2) (sqrt (+ 1 (* (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2))))))))) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))> #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))> #<alt (λ (J K U) (* (* (cbrt (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))> #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))> #<alt (λ (J K U) (* (sqrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (sqrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))> #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))))>)
31.594 * [regimes]: Found splitpoints: (#s(sp 5 J -3.3576117535859503e-209) #s(sp 1 J 1.4740161299218837e-204) #s(sp 5 J +nan.0)) , with alts (#<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (posit16->real (real->posit16 (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))> #<alt (λ (J K U) (- U))> #<alt (λ (J K U) (/ (* (cos (/ K 2)) (* (* J -2) (sqrt (+ 1 (* (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2))))))))) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))> #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))> #<alt (λ (J K U) (* (* (cbrt (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))> #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))> #<alt (λ (J K U) (* (sqrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (sqrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))> #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))))>)
31.594 * [simplify]: Simplifying:
  (if (<= J -3.3576117535859503e-209) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))) (if (<= J 1.4740161299218837e-204) (- U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))))
31.595 * * [simplify]: iteration 1: (24 enodes)
31.597 * * [simplify]: iteration 2: (33 enodes)
31.599 * * [simplify]: Extracting #0: cost 1 inf + 0
31.599 * * [simplify]: Extracting #1: cost 6 inf + 0
31.599 * * [simplify]: Extracting #2: cost 13 inf + 0
31.599 * * [simplify]: Extracting #3: cost 14 inf + 3
31.599 * * [simplify]: Extracting #4: cost 13 inf + 311
31.599 * * [simplify]: Extracting #5: cost 13 inf + 566
31.600 * * [simplify]: Extracting #6: cost 11 inf + 610
31.600 * * [simplify]: Extracting #7: cost 10 inf + 754
31.600 * * [simplify]: Extracting #8: cost 7 inf + 1163
31.601 * * [simplify]: Extracting #9: cost 4 inf + 1956
31.602 * * [simplify]: Extracting #10: cost 1 inf + 3404
31.603 * * [simplify]: Extracting #11: cost 0 inf + 4172
31.604 * [simplify]: Simplified to:
  (if (<= J -3.3576117535859503e-209) (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))) (* (cos (/ K 2)) (* -2 J))) (if (<= J 1.4740161299218837e-204) (- U) (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))) (* (cos (/ K 2)) (* -2 J)))))
39.218 * [regime-testing]: Baseline error score: 17.168084586572817
39.223 * [regime-testing]: Oracle error score: 8.58905664485892
39.236 * [regime-testing]: End program error score: 15.689071196470676