70.345 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.180 * * * [progress]: [2/2] Setting up program.
0.184 * [progress]: [Phase 2 of 3] Improving.
0.184 * * * * [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)))))>
0.184 * [simplify]: Simplifying:
  (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
0.185 * * [simplify]: iteration 0: 17 enodes
0.188 * * [simplify]: iteration 1: 36 enodes
0.195 * * [simplify]: iteration 2: 81 enodes
0.214 * * [simplify]: iteration 3: 215 enodes
0.310 * * [simplify]: iteration 4: 782 enodes
0.551 * * [simplify]: iteration 5: 2090 enodes
1.036 * * [simplify]: iteration complete: 2090 enodes
1.036 * * [simplify]: Extracting #0: cost 1 inf + 0
1.036 * * [simplify]: Extracting #1: cost 91 inf + 0
1.037 * * [simplify]: Extracting #2: cost 131 inf + 44
1.038 * * [simplify]: Extracting #3: cost 117 inf + 717
1.039 * * [simplify]: Extracting #4: cost 341 inf + 1006
1.049 * * [simplify]: Extracting #5: cost 509 inf + 21867
1.079 * * [simplify]: Extracting #6: cost 316 inf + 82822
1.140 * * [simplify]: Extracting #7: cost 56 inf + 162896
1.216 * * [simplify]: Extracting #8: cost 2 inf + 188172
1.266 * * [simplify]: Extracting #9: cost 0 inf + 189122
1.329 * [simplify]: Simplified to:
  (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))
1.344 * * [progress]: iteration 1 / 4
1.344 * * * [progress]: picking best candidate
1.350 * * * * [pick]: Picked  #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))>
1.351 * * * [progress]: localizing error
1.410 * * * [progress]: generating rewritten candidates
1.411 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
1.867 * * * * [progress]: [ 2 / 4 ] rewriting at (2)
2.119 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1)
2.209 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 2 2)
2.239 * * * [progress]: generating series expansions
2.239 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
2.240 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))
2.240 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U K J) around 0
2.240 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J
2.240 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J
2.240 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
2.240 * [taylor]: Taking taylor expansion of 1/4 in J
2.240 * [backup-simplify]: Simplify 1/4 into 1/4
2.240 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
2.240 * [taylor]: Taking taylor expansion of (pow U 2) in J
2.240 * [taylor]: Taking taylor expansion of U in J
2.240 * [backup-simplify]: Simplify U into U
2.240 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
2.240 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
2.240 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
2.240 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
2.240 * [taylor]: Taking taylor expansion of 1/2 in J
2.240 * [backup-simplify]: Simplify 1/2 into 1/2
2.240 * [taylor]: Taking taylor expansion of K in J
2.240 * [backup-simplify]: Simplify K into K
2.240 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
2.240 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
2.240 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
2.241 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
2.241 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
2.241 * [backup-simplify]: Simplify (- 0) into 0
2.241 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
2.241 * [taylor]: Taking taylor expansion of (pow J 2) in J
2.242 * [taylor]: Taking taylor expansion of J in J
2.242 * [backup-simplify]: Simplify 0 into 0
2.242 * [backup-simplify]: Simplify 1 into 1
2.242 * [backup-simplify]: Simplify (* U U) into (pow U 2)
2.242 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
2.242 * [backup-simplify]: Simplify (* 1 1) into 1
2.242 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
2.242 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
2.242 * [taylor]: Taking taylor expansion of 1 in J
2.243 * [backup-simplify]: Simplify 1 into 1
2.243 * [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)))
2.243 * [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)))
2.243 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
2.243 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
2.244 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.244 * [backup-simplify]: Simplify (+ 0) into 0
2.245 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
2.245 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
2.246 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.247 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
2.247 * [backup-simplify]: Simplify (- 0) into 0
2.247 * [backup-simplify]: Simplify (+ 0 0) into 0
2.248 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
2.248 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
2.248 * [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
2.249 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0
2.249 * [backup-simplify]: Simplify (+ 0 0) into 0
2.250 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
2.250 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K
2.250 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K
2.250 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
2.250 * [taylor]: Taking taylor expansion of 1/4 in K
2.250 * [backup-simplify]: Simplify 1/4 into 1/4
2.250 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
2.250 * [taylor]: Taking taylor expansion of (pow U 2) in K
2.250 * [taylor]: Taking taylor expansion of U in K
2.250 * [backup-simplify]: Simplify U into U
2.250 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
2.250 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
2.250 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
2.250 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
2.250 * [taylor]: Taking taylor expansion of 1/2 in K
2.250 * [backup-simplify]: Simplify 1/2 into 1/2
2.250 * [taylor]: Taking taylor expansion of K in K
2.250 * [backup-simplify]: Simplify 0 into 0
2.250 * [backup-simplify]: Simplify 1 into 1
2.251 * [backup-simplify]: Simplify (* 1/2 0) into 0
2.251 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
2.251 * [taylor]: Taking taylor expansion of (pow J 2) in K
2.251 * [taylor]: Taking taylor expansion of J in K
2.251 * [backup-simplify]: Simplify J into J
2.252 * [backup-simplify]: Simplify (* U U) into (pow U 2)
2.252 * [backup-simplify]: Simplify (* 1 1) into 1
2.252 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.252 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
2.252 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
2.252 * [taylor]: Taking taylor expansion of 1 in K
2.252 * [backup-simplify]: Simplify 1 into 1
2.252 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2)))
2.253 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
2.253 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
2.253 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
2.253 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
2.254 * [backup-simplify]: Simplify (+ 0) into 0
2.254 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.255 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
2.255 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
2.256 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0
2.256 * [backup-simplify]: Simplify (+ 0 0) into 0
2.256 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
2.256 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
2.256 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
2.256 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
2.256 * [taylor]: Taking taylor expansion of 1/4 in U
2.256 * [backup-simplify]: Simplify 1/4 into 1/4
2.256 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
2.256 * [taylor]: Taking taylor expansion of (pow U 2) in U
2.257 * [taylor]: Taking taylor expansion of U in U
2.257 * [backup-simplify]: Simplify 0 into 0
2.257 * [backup-simplify]: Simplify 1 into 1
2.257 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
2.257 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
2.257 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
2.257 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
2.257 * [taylor]: Taking taylor expansion of 1/2 in U
2.257 * [backup-simplify]: Simplify 1/2 into 1/2
2.257 * [taylor]: Taking taylor expansion of K in U
2.257 * [backup-simplify]: Simplify K into K
2.257 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
2.257 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
2.257 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
2.257 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
2.257 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
2.258 * [backup-simplify]: Simplify (- 0) into 0
2.258 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
2.258 * [taylor]: Taking taylor expansion of (pow J 2) in U
2.258 * [taylor]: Taking taylor expansion of J in U
2.258 * [backup-simplify]: Simplify J into J
2.258 * [backup-simplify]: Simplify (* 1 1) into 1
2.258 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
2.258 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.258 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
2.259 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
2.259 * [taylor]: Taking taylor expansion of 1 in U
2.259 * [backup-simplify]: Simplify 1 into 1
2.259 * [backup-simplify]: Simplify (+ 0 1) into 1
2.260 * [backup-simplify]: Simplify (sqrt 1) into 1
2.260 * [backup-simplify]: Simplify (+ 0 0) into 0
2.261 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.261 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
2.261 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
2.261 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 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 U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 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) (pow J 2)) in U
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
2.261 * [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 * [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 * [taylor]: Taking taylor expansion of (pow J 2) in U
2.262 * [taylor]: Taking taylor expansion of J in U
2.262 * [backup-simplify]: Simplify J into J
2.262 * [backup-simplify]: Simplify (* 1 1) into 1
2.263 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
2.263 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.263 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
2.263 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
2.263 * [taylor]: Taking taylor expansion of 1 in U
2.263 * [backup-simplify]: Simplify 1 into 1
2.264 * [backup-simplify]: Simplify (+ 0 1) into 1
2.264 * [backup-simplify]: Simplify (sqrt 1) into 1
2.264 * [backup-simplify]: Simplify (+ 0 0) into 0
2.265 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.265 * [taylor]: Taking taylor expansion of 1 in K
2.265 * [backup-simplify]: Simplify 1 into 1
2.265 * [taylor]: Taking taylor expansion of 1 in J
2.265 * [backup-simplify]: Simplify 1 into 1
2.265 * [taylor]: Taking taylor expansion of 0 in K
2.265 * [backup-simplify]: Simplify 0 into 0
2.265 * [taylor]: Taking taylor expansion of 0 in J
2.265 * [backup-simplify]: Simplify 0 into 0
2.265 * [taylor]: Taking taylor expansion of 0 in J
2.265 * [backup-simplify]: Simplify 0 into 0
2.265 * [backup-simplify]: Simplify 1 into 1
2.266 * [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)))
2.266 * [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))))
2.267 * [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)))
2.267 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
2.268 * [taylor]: Taking taylor expansion of 1/8 in K
2.268 * [backup-simplify]: Simplify 1/8 into 1/8
2.268 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
2.268 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
2.268 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
2.268 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
2.268 * [taylor]: Taking taylor expansion of 1/2 in K
2.268 * [backup-simplify]: Simplify 1/2 into 1/2
2.268 * [taylor]: Taking taylor expansion of K in K
2.268 * [backup-simplify]: Simplify 0 into 0
2.268 * [backup-simplify]: Simplify 1 into 1
2.268 * [backup-simplify]: Simplify (* 1/2 0) into 0
2.269 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
2.269 * [taylor]: Taking taylor expansion of (pow J 2) in K
2.269 * [taylor]: Taking taylor expansion of J in K
2.269 * [backup-simplify]: Simplify J into J
2.269 * [backup-simplify]: Simplify (* 1 1) into 1
2.270 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.270 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
2.270 * [backup-simplify]: Simplify (/ 1/8 (pow J 2)) into (/ 1/8 (pow J 2))
2.270 * [taylor]: Taking taylor expansion of (/ 1/8 (pow J 2)) in J
2.270 * [taylor]: Taking taylor expansion of 1/8 in J
2.270 * [backup-simplify]: Simplify 1/8 into 1/8
2.270 * [taylor]: Taking taylor expansion of (pow J 2) in J
2.270 * [taylor]: Taking taylor expansion of J in J
2.270 * [backup-simplify]: Simplify 0 into 0
2.270 * [backup-simplify]: Simplify 1 into 1
2.270 * [backup-simplify]: Simplify (* 1 1) into 1
2.271 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8
2.271 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.272 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0
2.272 * [backup-simplify]: Simplify 0 into 0
2.272 * [taylor]: Taking taylor expansion of 0 in J
2.272 * [backup-simplify]: Simplify 0 into 0
2.272 * [taylor]: Taking taylor expansion of 0 in J
2.273 * [backup-simplify]: Simplify 0 into 0
2.273 * [backup-simplify]: Simplify 0 into 0
2.273 * [backup-simplify]: Simplify 0 into 0
2.273 * [backup-simplify]: Simplify 0 into 0
2.273 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.273 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
2.274 * [backup-simplify]: Simplify (+ 0) into 0
2.274 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
2.275 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
2.276 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.276 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
2.276 * [backup-simplify]: Simplify (- 0) into 0
2.277 * [backup-simplify]: Simplify (+ 0 0) into 0
2.277 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
2.277 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0
2.278 * [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
2.278 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0
2.279 * [backup-simplify]: Simplify (+ 0 0) into 0
2.279 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0
2.279 * [taylor]: Taking taylor expansion of 0 in K
2.279 * [backup-simplify]: Simplify 0 into 0
2.279 * [taylor]: Taking taylor expansion of 0 in J
2.279 * [backup-simplify]: Simplify 0 into 0
2.280 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
2.280 * [backup-simplify]: Simplify (+ 0) into 0
2.281 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.281 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
2.281 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/8 (pow J 2)) (/ 0 (pow J 2))))) into 0
2.281 * [taylor]: Taking taylor expansion of 0 in J
2.281 * [backup-simplify]: Simplify 0 into 0
2.281 * [taylor]: Taking taylor expansion of 0 in J
2.281 * [backup-simplify]: Simplify 0 into 0
2.282 * [taylor]: Taking taylor expansion of 0 in J
2.282 * [backup-simplify]: Simplify 0 into 0
2.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.284 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.284 * [backup-simplify]: Simplify 0 into 0
2.284 * [backup-simplify]: Simplify 0 into 0
2.284 * [backup-simplify]: Simplify 1 into 1
2.285 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* (cos (/ (/ 1 K) 2)) (* 2 (/ 1 J)))) (/ (/ 1 U) (* (cos (/ (/ 1 K) 2)) (* 2 (/ 1 J))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
2.285 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U K J) around 0
2.285 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
2.285 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
2.285 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
2.285 * [taylor]: Taking taylor expansion of 1/4 in J
2.285 * [backup-simplify]: Simplify 1/4 into 1/4
2.285 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
2.285 * [taylor]: Taking taylor expansion of (pow J 2) in J
2.285 * [taylor]: Taking taylor expansion of J in J
2.285 * [backup-simplify]: Simplify 0 into 0
2.285 * [backup-simplify]: Simplify 1 into 1
2.285 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
2.285 * [taylor]: Taking taylor expansion of (pow U 2) in J
2.285 * [taylor]: Taking taylor expansion of U in J
2.285 * [backup-simplify]: Simplify U into U
2.285 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
2.285 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
2.285 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
2.285 * [taylor]: Taking taylor expansion of 1/2 in J
2.285 * [backup-simplify]: Simplify 1/2 into 1/2
2.285 * [taylor]: Taking taylor expansion of K in J
2.286 * [backup-simplify]: Simplify K into K
2.286 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
2.286 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.286 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
2.286 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.286 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
2.286 * [backup-simplify]: Simplify (- 0) into 0
2.287 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
2.287 * [backup-simplify]: Simplify (* 1 1) into 1
2.287 * [backup-simplify]: Simplify (* U U) into (pow U 2)
2.287 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
2.287 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
2.287 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
2.287 * [taylor]: Taking taylor expansion of 1 in J
2.288 * [backup-simplify]: Simplify 1 into 1
2.288 * [backup-simplify]: Simplify (+ 0 1) into 1
2.288 * [backup-simplify]: Simplify (sqrt 1) into 1
2.289 * [backup-simplify]: Simplify (+ 0 0) into 0
2.289 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.289 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K
2.289 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K
2.289 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
2.289 * [taylor]: Taking taylor expansion of 1/4 in K
2.289 * [backup-simplify]: Simplify 1/4 into 1/4
2.289 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
2.289 * [taylor]: Taking taylor expansion of (pow J 2) in K
2.290 * [taylor]: Taking taylor expansion of J in K
2.290 * [backup-simplify]: Simplify J into J
2.290 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
2.290 * [taylor]: Taking taylor expansion of (pow U 2) in K
2.290 * [taylor]: Taking taylor expansion of U in K
2.290 * [backup-simplify]: Simplify U into U
2.290 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
2.290 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
2.290 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
2.290 * [taylor]: Taking taylor expansion of 1/2 in K
2.290 * [backup-simplify]: Simplify 1/2 into 1/2
2.290 * [taylor]: Taking taylor expansion of K in K
2.290 * [backup-simplify]: Simplify 0 into 0
2.290 * [backup-simplify]: Simplify 1 into 1
2.290 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.290 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.290 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.290 * [backup-simplify]: Simplify (* U U) into (pow U 2)
2.291 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
2.291 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
2.291 * [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)))
2.291 * [taylor]: Taking taylor expansion of 1 in K
2.291 * [backup-simplify]: Simplify 1 into 1
2.291 * [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))))
2.292 * [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)
2.292 * [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))
2.292 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
2.292 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
2.292 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
2.292 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
2.293 * [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
2.294 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
2.294 * [backup-simplify]: Simplify (+ 0 0) into 0
2.294 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
2.295 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
2.295 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
2.295 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
2.295 * [taylor]: Taking taylor expansion of 1/4 in U
2.295 * [backup-simplify]: Simplify 1/4 into 1/4
2.295 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
2.295 * [taylor]: Taking taylor expansion of (pow J 2) in U
2.295 * [taylor]: Taking taylor expansion of J in U
2.295 * [backup-simplify]: Simplify J into J
2.295 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
2.295 * [taylor]: Taking taylor expansion of (pow U 2) in U
2.295 * [taylor]: Taking taylor expansion of U in U
2.295 * [backup-simplify]: Simplify 0 into 0
2.295 * [backup-simplify]: Simplify 1 into 1
2.295 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
2.295 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
2.295 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
2.295 * [taylor]: Taking taylor expansion of 1/2 in U
2.295 * [backup-simplify]: Simplify 1/2 into 1/2
2.295 * [taylor]: Taking taylor expansion of K in U
2.295 * [backup-simplify]: Simplify K into K
2.295 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
2.295 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.295 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
2.295 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.295 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
2.296 * [backup-simplify]: Simplify (- 0) into 0
2.296 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
2.296 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.296 * [backup-simplify]: Simplify (* 1 1) into 1
2.296 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
2.297 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
2.297 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
2.297 * [taylor]: Taking taylor expansion of 1 in U
2.297 * [backup-simplify]: Simplify 1 into 1
2.297 * [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)))
2.297 * [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)))
2.297 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
2.298 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
2.298 * [backup-simplify]: Simplify (+ 0) into 0
2.299 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
2.299 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
2.299 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.300 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
2.300 * [backup-simplify]: Simplify (- 0) into 0
2.301 * [backup-simplify]: Simplify (+ 0 0) into 0
2.301 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
2.301 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.302 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
2.302 * [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
2.303 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
2.303 * [backup-simplify]: Simplify (+ 0 0) into 0
2.303 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
2.303 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
2.304 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
2.304 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
2.304 * [taylor]: Taking taylor expansion of 1/4 in U
2.304 * [backup-simplify]: Simplify 1/4 into 1/4
2.304 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
2.304 * [taylor]: Taking taylor expansion of (pow J 2) in U
2.304 * [taylor]: Taking taylor expansion of J in U
2.304 * [backup-simplify]: Simplify J into J
2.304 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
2.304 * [taylor]: Taking taylor expansion of (pow U 2) in U
2.304 * [taylor]: Taking taylor expansion of U in U
2.304 * [backup-simplify]: Simplify 0 into 0
2.304 * [backup-simplify]: Simplify 1 into 1
2.304 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
2.304 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
2.304 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
2.304 * [taylor]: Taking taylor expansion of 1/2 in U
2.304 * [backup-simplify]: Simplify 1/2 into 1/2
2.304 * [taylor]: Taking taylor expansion of K in U
2.304 * [backup-simplify]: Simplify K into K
2.304 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
2.304 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.304 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
2.304 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.304 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
2.305 * [backup-simplify]: Simplify (- 0) into 0
2.305 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
2.305 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.305 * [backup-simplify]: Simplify (* 1 1) into 1
2.305 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
2.305 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
2.306 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
2.306 * [taylor]: Taking taylor expansion of 1 in U
2.306 * [backup-simplify]: Simplify 1 into 1
2.306 * [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)))
2.306 * [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)))
2.306 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
2.306 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
2.307 * [backup-simplify]: Simplify (+ 0) into 0
2.307 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
2.307 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
2.308 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.308 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
2.308 * [backup-simplify]: Simplify (- 0) into 0
2.308 * [backup-simplify]: Simplify (+ 0 0) into 0
2.309 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
2.309 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.309 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
2.310 * [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
2.310 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
2.310 * [backup-simplify]: Simplify (+ 0 0) into 0
2.310 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
2.310 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in K
2.310 * [taylor]: Taking taylor expansion of 1/2 in K
2.310 * [backup-simplify]: Simplify 1/2 into 1/2
2.310 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in K
2.310 * [taylor]: Taking taylor expansion of J in K
2.311 * [backup-simplify]: Simplify J into J
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
2.311 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.311 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.311 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K)))
2.311 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
2.311 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J
2.311 * [taylor]: Taking taylor expansion of 1/2 in J
2.311 * [backup-simplify]: Simplify 1/2 into 1/2
2.311 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J
2.311 * [taylor]: Taking taylor expansion of J in J
2.311 * [backup-simplify]: Simplify 0 into 0
2.311 * [backup-simplify]: Simplify 1 into 1
2.311 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
2.311 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
2.311 * [taylor]: Taking taylor expansion of 1/2 in J
2.311 * [backup-simplify]: Simplify 1/2 into 1/2
2.311 * [taylor]: Taking taylor expansion of K in J
2.311 * [backup-simplify]: Simplify K into K
2.311 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
2.311 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.311 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
2.311 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.312 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
2.312 * [backup-simplify]: Simplify (- 0) into 0
2.312 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
2.312 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K)))
2.312 * [taylor]: Taking taylor expansion of 0 in K
2.312 * [backup-simplify]: Simplify 0 into 0
2.312 * [taylor]: Taking taylor expansion of 0 in J
2.312 * [backup-simplify]: Simplify 0 into 0
2.312 * [backup-simplify]: Simplify 0 into 0
2.312 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
2.312 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0
2.313 * [taylor]: Taking taylor expansion of 0 in J
2.313 * [backup-simplify]: Simplify 0 into 0
2.313 * [backup-simplify]: Simplify 0 into 0
2.313 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K)))
2.313 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
2.313 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
2.314 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.314 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
2.314 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
2.315 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.315 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
2.315 * [backup-simplify]: Simplify (- 0) into 0
2.315 * [backup-simplify]: Simplify (+ 0 0) into 0
2.316 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
2.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.317 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
2.317 * [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
2.318 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0
2.318 * [backup-simplify]: Simplify (+ 0 1) into 1
2.318 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J)
2.319 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K
2.319 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
2.319 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
2.319 * [taylor]: Taking taylor expansion of 1/2 in K
2.319 * [backup-simplify]: Simplify 1/2 into 1/2
2.319 * [taylor]: Taking taylor expansion of K in K
2.319 * [backup-simplify]: Simplify 0 into 0
2.319 * [backup-simplify]: Simplify 1 into 1
2.319 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.319 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.319 * [taylor]: Taking taylor expansion of J in K
2.319 * [backup-simplify]: Simplify J into J
2.319 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
2.319 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) 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 * [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 * [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 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.320 * [backup-simplify]: Simplify (+ 0) into 0
2.320 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
2.321 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
2.321 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.321 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
2.322 * [backup-simplify]: Simplify (- 0) into 0
2.322 * [backup-simplify]: Simplify (+ 0 0) into 0
2.322 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0
2.322 * [backup-simplify]: Simplify 0 into 0
2.322 * [taylor]: Taking taylor expansion of 0 in J
2.322 * [backup-simplify]: Simplify 0 into 0
2.322 * [backup-simplify]: Simplify 0 into 0
2.323 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0
2.323 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0
2.323 * [taylor]: Taking taylor expansion of 0 in J
2.323 * [backup-simplify]: Simplify 0 into 0
2.323 * [backup-simplify]: Simplify 0 into 0
2.323 * [backup-simplify]: Simplify 0 into 0
2.323 * [backup-simplify]: Simplify 0 into 0
2.324 * [backup-simplify]: Simplify (+ 0) into 0
2.324 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
2.324 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
2.324 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.325 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
2.325 * [backup-simplify]: Simplify (- 0) into 0
2.325 * [backup-simplify]: Simplify (+ 0 0) into 0
2.325 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
2.328 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0
2.328 * [backup-simplify]: Simplify 0 into 0
2.328 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* (/ 1 J) (* 1 (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
2.328 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J))))) (/ (/ 1 (- U)) (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J)))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))
2.328 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U K J) around 0
2.328 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
2.328 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
2.328 * [taylor]: Taking taylor expansion of 1 in J
2.328 * [backup-simplify]: Simplify 1 into 1
2.328 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
2.329 * [taylor]: Taking taylor expansion of 1/4 in J
2.329 * [backup-simplify]: Simplify 1/4 into 1/4
2.329 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
2.329 * [taylor]: Taking taylor expansion of (pow J 2) in J
2.329 * [taylor]: Taking taylor expansion of J in J
2.329 * [backup-simplify]: Simplify 0 into 0
2.329 * [backup-simplify]: Simplify 1 into 1
2.329 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
2.329 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
2.329 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
2.329 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
2.329 * [taylor]: Taking taylor expansion of -1/2 in J
2.329 * [backup-simplify]: Simplify -1/2 into -1/2
2.329 * [taylor]: Taking taylor expansion of K in J
2.329 * [backup-simplify]: Simplify K into K
2.329 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
2.329 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.329 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
2.329 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.329 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
2.329 * [backup-simplify]: Simplify (- 0) into 0
2.329 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
2.329 * [taylor]: Taking taylor expansion of (pow U 2) in J
2.329 * [taylor]: Taking taylor expansion of U in J
2.329 * [backup-simplify]: Simplify U into U
2.330 * [backup-simplify]: Simplify (* 1 1) into 1
2.330 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
2.330 * [backup-simplify]: Simplify (* U U) into (pow U 2)
2.330 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
2.330 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
2.330 * [backup-simplify]: Simplify (+ 1 0) into 1
2.331 * [backup-simplify]: Simplify (sqrt 1) into 1
2.331 * [backup-simplify]: Simplify (+ 0 0) into 0
2.331 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.331 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K
2.331 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K
2.331 * [taylor]: Taking taylor expansion of 1 in K
2.331 * [backup-simplify]: Simplify 1 into 1
2.331 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
2.331 * [taylor]: Taking taylor expansion of 1/4 in K
2.331 * [backup-simplify]: Simplify 1/4 into 1/4
2.331 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
2.331 * [taylor]: Taking taylor expansion of (pow J 2) in K
2.331 * [taylor]: Taking taylor expansion of J in K
2.331 * [backup-simplify]: Simplify J into J
2.331 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
2.331 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
2.332 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
2.332 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
2.332 * [taylor]: Taking taylor expansion of -1/2 in K
2.332 * [backup-simplify]: Simplify -1/2 into -1/2
2.332 * [taylor]: Taking taylor expansion of K in K
2.332 * [backup-simplify]: Simplify 0 into 0
2.332 * [backup-simplify]: Simplify 1 into 1
2.332 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
2.332 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.332 * [taylor]: Taking taylor expansion of (pow U 2) in K
2.332 * [taylor]: Taking taylor expansion of U in K
2.332 * [backup-simplify]: Simplify U into U
2.332 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.332 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
2.332 * [backup-simplify]: Simplify (* U U) into (pow U 2)
2.332 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
2.332 * [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)))
2.332 * [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))))
2.333 * [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)))))
2.333 * [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))))))
2.333 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
2.333 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
2.333 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
2.333 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
2.334 * [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
2.334 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
2.334 * [backup-simplify]: Simplify (+ 0 0) into 0
2.335 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0
2.335 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
2.335 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
2.335 * [taylor]: Taking taylor expansion of 1 in U
2.335 * [backup-simplify]: Simplify 1 into 1
2.335 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
2.335 * [taylor]: Taking taylor expansion of 1/4 in U
2.335 * [backup-simplify]: Simplify 1/4 into 1/4
2.335 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
2.335 * [taylor]: Taking taylor expansion of (pow J 2) in U
2.335 * [taylor]: Taking taylor expansion of J in U
2.335 * [backup-simplify]: Simplify J into J
2.335 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
2.335 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
2.335 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
2.335 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
2.335 * [taylor]: Taking taylor expansion of -1/2 in U
2.335 * [backup-simplify]: Simplify -1/2 into -1/2
2.335 * [taylor]: Taking taylor expansion of K in U
2.335 * [backup-simplify]: Simplify K into K
2.335 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
2.335 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.335 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
2.335 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.335 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
2.335 * [backup-simplify]: Simplify (- 0) into 0
2.335 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
2.335 * [taylor]: Taking taylor expansion of (pow U 2) in U
2.335 * [taylor]: Taking taylor expansion of U in U
2.335 * [backup-simplify]: Simplify 0 into 0
2.335 * [backup-simplify]: Simplify 1 into 1
2.335 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.336 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
2.336 * [backup-simplify]: Simplify (* 1 1) into 1
2.336 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
2.336 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
2.336 * [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)))
2.337 * [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)))
2.337 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
2.337 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
2.337 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.337 * [backup-simplify]: Simplify (+ 0) into 0
2.338 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
2.338 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
2.338 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.339 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
2.339 * [backup-simplify]: Simplify (- 0) into 0
2.339 * [backup-simplify]: Simplify (+ 0 0) into 0
2.339 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
2.339 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
2.340 * [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
2.340 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
2.340 * [backup-simplify]: Simplify (+ 0 0) into 0
2.340 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
2.341 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
2.341 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
2.341 * [taylor]: Taking taylor expansion of 1 in U
2.341 * [backup-simplify]: Simplify 1 into 1
2.341 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
2.341 * [taylor]: Taking taylor expansion of 1/4 in U
2.341 * [backup-simplify]: Simplify 1/4 into 1/4
2.341 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
2.341 * [taylor]: Taking taylor expansion of (pow J 2) in U
2.341 * [taylor]: Taking taylor expansion of J in U
2.341 * [backup-simplify]: Simplify J into J
2.341 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
2.341 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
2.341 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
2.341 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
2.341 * [taylor]: Taking taylor expansion of -1/2 in U
2.341 * [backup-simplify]: Simplify -1/2 into -1/2
2.341 * [taylor]: Taking taylor expansion of K in U
2.341 * [backup-simplify]: Simplify K into K
2.341 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
2.341 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.341 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
2.341 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.341 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
2.341 * [backup-simplify]: Simplify (- 0) into 0
2.341 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
2.341 * [taylor]: Taking taylor expansion of (pow U 2) in U
2.341 * [taylor]: Taking taylor expansion of U in U
2.341 * [backup-simplify]: Simplify 0 into 0
2.341 * [backup-simplify]: Simplify 1 into 1
2.341 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.342 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
2.342 * [backup-simplify]: Simplify (* 1 1) into 1
2.342 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
2.342 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
2.342 * [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)))
2.342 * [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)))
2.342 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
2.342 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
2.343 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.343 * [backup-simplify]: Simplify (+ 0) into 0
2.343 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
2.344 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
2.344 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.344 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
2.345 * [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
2.345 * [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
2.346 * [backup-simplify]: Simplify (+ 0 0) into 0
2.346 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
2.346 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in K
2.346 * [taylor]: Taking taylor expansion of 1/2 in K
2.346 * [backup-simplify]: Simplify 1/2 into 1/2
2.346 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in K
2.346 * [taylor]: Taking taylor expansion of J in K
2.346 * [backup-simplify]: Simplify J into J
2.346 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
2.347 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
2.347 * [taylor]: Taking taylor expansion of -1/2 in K
2.347 * [backup-simplify]: Simplify -1/2 into -1/2
2.347 * [taylor]: Taking taylor expansion of K in K
2.347 * [backup-simplify]: Simplify 0 into 0
2.347 * [backup-simplify]: Simplify 1 into 1
2.347 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
2.347 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.347 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K)))
2.347 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
2.347 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J
2.347 * [taylor]: Taking taylor expansion of 1/2 in J
2.347 * [backup-simplify]: Simplify 1/2 into 1/2
2.347 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J
2.347 * [taylor]: Taking taylor expansion of J in J
2.347 * [backup-simplify]: Simplify 0 into 0
2.347 * [backup-simplify]: Simplify 1 into 1
2.347 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
2.347 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
2.347 * [taylor]: Taking taylor expansion of -1/2 in J
2.347 * [backup-simplify]: Simplify -1/2 into -1/2
2.347 * [taylor]: Taking taylor expansion of K in J
2.347 * [backup-simplify]: Simplify K into K
2.347 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
2.347 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.347 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
2.347 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.348 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
2.348 * [backup-simplify]: Simplify (- 0) into 0
2.348 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
2.348 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K)))
2.348 * [taylor]: Taking taylor expansion of 0 in K
2.348 * [backup-simplify]: Simplify 0 into 0
2.348 * [taylor]: Taking taylor expansion of 0 in J
2.348 * [backup-simplify]: Simplify 0 into 0
2.348 * [backup-simplify]: Simplify 0 into 0
2.348 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
2.349 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0
2.349 * [taylor]: Taking taylor expansion of 0 in J
2.349 * [backup-simplify]: Simplify 0 into 0
2.349 * [backup-simplify]: Simplify 0 into 0
2.349 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K)))
2.349 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
2.349 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
2.350 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.350 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.351 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
2.351 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
2.352 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.353 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
2.353 * [backup-simplify]: Simplify (- 0) into 0
2.353 * [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
2.357 * [backup-simplify]: Simplify (+ 1 0) into 1
2.358 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J)
2.358 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K
2.358 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
2.358 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
2.358 * [taylor]: Taking taylor expansion of -1/2 in K
2.358 * [backup-simplify]: Simplify -1/2 into -1/2
2.358 * [taylor]: Taking taylor expansion of K in K
2.358 * [backup-simplify]: Simplify 0 into 0
2.358 * [backup-simplify]: Simplify 1 into 1
2.358 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
2.358 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.358 * [taylor]: Taking taylor expansion of J in K
2.358 * [backup-simplify]: Simplify J into J
2.358 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
2.359 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
2.359 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
2.359 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
2.359 * [taylor]: Taking taylor expansion of -1/2 in J
2.359 * [backup-simplify]: Simplify -1/2 into -1/2
2.359 * [taylor]: Taking taylor expansion of K in J
2.359 * [backup-simplify]: Simplify K into K
2.359 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
2.359 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.359 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
2.359 * [taylor]: Taking taylor expansion of J in J
2.359 * [backup-simplify]: Simplify 0 into 0
2.359 * [backup-simplify]: Simplify 1 into 1
2.359 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.359 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
2.360 * [backup-simplify]: Simplify (- 0) into 0
2.360 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
2.360 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.360 * [backup-simplify]: Simplify (+ 0) into 0
2.361 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
2.361 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
2.362 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.362 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
2.362 * [backup-simplify]: Simplify (- 0) into 0
2.363 * [backup-simplify]: Simplify (+ 0 0) into 0
2.364 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0
2.364 * [backup-simplify]: Simplify 0 into 0
2.364 * [taylor]: Taking taylor expansion of 0 in J
2.364 * [backup-simplify]: Simplify 0 into 0
2.364 * [backup-simplify]: Simplify 0 into 0
2.364 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0
2.365 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0
2.365 * [taylor]: Taking taylor expansion of 0 in J
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 0 into 0
2.366 * [backup-simplify]: Simplify (+ 0) into 0
2.366 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
2.366 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
2.367 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.368 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
2.368 * [backup-simplify]: Simplify (- 0) into 0
2.368 * [backup-simplify]: Simplify (+ 0 0) into 0
2.368 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
2.369 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0
2.369 * [backup-simplify]: Simplify 0 into 0
2.369 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (- J)) (* 1 (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
2.369 * * * * [progress]: [ 2 / 4 ] generating series at (2)
2.370 * [backup-simplify]: Simplify (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) into (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))))
2.370 * [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 (J K U) around 0
2.370 * [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
2.370 * [taylor]: Taking taylor expansion of -2 in U
2.370 * [backup-simplify]: Simplify -2 into -2
2.370 * [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
2.370 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U
2.370 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
2.370 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
2.370 * [taylor]: Taking taylor expansion of 1/2 in U
2.370 * [backup-simplify]: Simplify 1/2 into 1/2
2.370 * [taylor]: Taking taylor expansion of K in U
2.370 * [backup-simplify]: Simplify K into K
2.370 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
2.371 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
2.371 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
2.371 * [taylor]: Taking taylor expansion of J in U
2.371 * [backup-simplify]: Simplify J into J
2.371 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
2.371 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
2.371 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
2.371 * [taylor]: Taking taylor expansion of 1/4 in U
2.371 * [backup-simplify]: Simplify 1/4 into 1/4
2.371 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
2.371 * [taylor]: Taking taylor expansion of (pow U 2) in U
2.371 * [taylor]: Taking taylor expansion of U in U
2.371 * [backup-simplify]: Simplify 0 into 0
2.371 * [backup-simplify]: Simplify 1 into 1
2.371 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
2.371 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
2.371 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
2.371 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
2.371 * [taylor]: Taking taylor expansion of 1/2 in U
2.371 * [backup-simplify]: Simplify 1/2 into 1/2
2.371 * [taylor]: Taking taylor expansion of K in U
2.371 * [backup-simplify]: Simplify K into K
2.371 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
2.371 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
2.371 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
2.371 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
2.371 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
2.372 * [backup-simplify]: Simplify (- 0) into 0
2.372 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
2.372 * [taylor]: Taking taylor expansion of (pow J 2) in U
2.372 * [taylor]: Taking taylor expansion of J in U
2.372 * [backup-simplify]: Simplify J into J
2.373 * [backup-simplify]: Simplify (* 1 1) into 1
2.373 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
2.373 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.373 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
2.373 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
2.373 * [taylor]: Taking taylor expansion of 1 in U
2.373 * [backup-simplify]: Simplify 1 into 1
2.374 * [backup-simplify]: Simplify (+ 0 1) into 1
2.374 * [backup-simplify]: Simplify (sqrt 1) into 1
2.375 * [backup-simplify]: Simplify (+ 0 0) into 0
2.375 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.375 * [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
2.375 * [taylor]: Taking taylor expansion of -2 in K
2.375 * [backup-simplify]: Simplify -2 into -2
2.376 * [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
2.376 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K
2.376 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
2.376 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
2.376 * [taylor]: Taking taylor expansion of 1/2 in K
2.376 * [backup-simplify]: Simplify 1/2 into 1/2
2.376 * [taylor]: Taking taylor expansion of K in K
2.376 * [backup-simplify]: Simplify 0 into 0
2.376 * [backup-simplify]: Simplify 1 into 1
2.376 * [backup-simplify]: Simplify (* 1/2 0) into 0
2.377 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
2.377 * [taylor]: Taking taylor expansion of J in K
2.377 * [backup-simplify]: Simplify J into J
2.377 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K
2.377 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K
2.377 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
2.377 * [taylor]: Taking taylor expansion of 1/4 in K
2.377 * [backup-simplify]: Simplify 1/4 into 1/4
2.377 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
2.377 * [taylor]: Taking taylor expansion of (pow U 2) in K
2.377 * [taylor]: Taking taylor expansion of U in K
2.377 * [backup-simplify]: Simplify U into U
2.377 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
2.377 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
2.377 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
2.377 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
2.377 * [taylor]: Taking taylor expansion of 1/2 in K
2.378 * [backup-simplify]: Simplify 1/2 into 1/2
2.378 * [taylor]: Taking taylor expansion of K in K
2.378 * [backup-simplify]: Simplify 0 into 0
2.378 * [backup-simplify]: Simplify 1 into 1
2.378 * [backup-simplify]: Simplify (* 1/2 0) into 0
2.379 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
2.379 * [taylor]: Taking taylor expansion of (pow J 2) in K
2.379 * [taylor]: Taking taylor expansion of J in K
2.379 * [backup-simplify]: Simplify J into J
2.379 * [backup-simplify]: Simplify (* U U) into (pow U 2)
2.379 * [backup-simplify]: Simplify (* 1 1) into 1
2.380 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.380 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
2.380 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
2.380 * [taylor]: Taking taylor expansion of 1 in K
2.380 * [backup-simplify]: Simplify 1 into 1
2.380 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2)))
2.380 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
2.381 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
2.381 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
2.381 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
2.381 * [backup-simplify]: Simplify (+ 0) into 0
2.382 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.382 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
2.383 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
2.383 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0
2.384 * [backup-simplify]: Simplify (+ 0 0) into 0
2.384 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
2.384 * [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
2.384 * [taylor]: Taking taylor expansion of -2 in J
2.384 * [backup-simplify]: Simplify -2 into -2
2.384 * [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
2.384 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J
2.384 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
2.384 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
2.385 * [taylor]: Taking taylor expansion of 1/2 in J
2.385 * [backup-simplify]: Simplify 1/2 into 1/2
2.385 * [taylor]: Taking taylor expansion of K in J
2.385 * [backup-simplify]: Simplify K into K
2.385 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
2.385 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
2.385 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
2.385 * [taylor]: Taking taylor expansion of J in J
2.385 * [backup-simplify]: Simplify 0 into 0
2.385 * [backup-simplify]: Simplify 1 into 1
2.385 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J
2.385 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J
2.385 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
2.385 * [taylor]: Taking taylor expansion of 1/4 in J
2.385 * [backup-simplify]: Simplify 1/4 into 1/4
2.385 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
2.385 * [taylor]: Taking taylor expansion of (pow U 2) in J
2.385 * [taylor]: Taking taylor expansion of U in J
2.385 * [backup-simplify]: Simplify U into U
2.385 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
2.385 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
2.385 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
2.385 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
2.385 * [taylor]: Taking taylor expansion of 1/2 in J
2.385 * [backup-simplify]: Simplify 1/2 into 1/2
2.385 * [taylor]: Taking taylor expansion of K in J
2.385 * [backup-simplify]: Simplify K into K
2.385 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
2.386 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
2.386 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
2.386 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
2.386 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
2.387 * [backup-simplify]: Simplify (- 0) into 0
2.387 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
2.387 * [taylor]: Taking taylor expansion of (pow J 2) in J
2.387 * [taylor]: Taking taylor expansion of J in J
2.387 * [backup-simplify]: Simplify 0 into 0
2.387 * [backup-simplify]: Simplify 1 into 1
2.387 * [backup-simplify]: Simplify (* U U) into (pow U 2)
2.387 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
2.387 * [backup-simplify]: Simplify (* 1 1) into 1
2.388 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
2.388 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
2.388 * [taylor]: Taking taylor expansion of 1 in J
2.388 * [backup-simplify]: Simplify 1 into 1
2.388 * [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)))
2.388 * [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)))
2.389 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
2.389 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
2.389 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.390 * [backup-simplify]: Simplify (+ 0) into 0
2.390 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
2.391 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
2.392 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.392 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
2.393 * [backup-simplify]: Simplify (- 0) into 0
2.393 * [backup-simplify]: Simplify (+ 0 0) into 0
2.393 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
2.394 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
2.394 * [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
2.395 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0
2.395 * [backup-simplify]: Simplify (+ 0 0) into 0
2.396 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
2.396 * [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
2.396 * [taylor]: Taking taylor expansion of -2 in J
2.396 * [backup-simplify]: Simplify -2 into -2
2.396 * [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
2.396 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) 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 * [taylor]: Taking taylor expansion of J in J
2.396 * [backup-simplify]: Simplify 0 into 0
2.396 * [backup-simplify]: Simplify 1 into 1
2.396 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J
2.396 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J
2.396 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (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 U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
2.397 * [taylor]: Taking taylor expansion of (pow U 2) in J
2.397 * [taylor]: Taking taylor expansion of U in J
2.397 * [backup-simplify]: Simplify U into U
2.397 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
2.397 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
2.397 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
2.397 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
2.397 * [taylor]: Taking taylor expansion of 1/2 in J
2.397 * [backup-simplify]: Simplify 1/2 into 1/2
2.397 * [taylor]: Taking taylor expansion of K in J
2.397 * [backup-simplify]: Simplify K into K
2.397 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
2.397 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
2.397 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
2.397 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
2.397 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
2.398 * [backup-simplify]: Simplify (- 0) into 0
2.398 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
2.398 * [taylor]: Taking taylor expansion of (pow J 2) in J
2.398 * [taylor]: Taking taylor expansion of J in J
2.398 * [backup-simplify]: Simplify 0 into 0
2.398 * [backup-simplify]: Simplify 1 into 1
2.398 * [backup-simplify]: Simplify (* U U) into (pow U 2)
2.398 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
2.399 * [backup-simplify]: Simplify (* 1 1) into 1
2.399 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
2.399 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
2.399 * [taylor]: Taking taylor expansion of 1 in J
2.399 * [backup-simplify]: Simplify 1 into 1
2.399 * [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)))
2.399 * [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)))
2.400 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
2.400 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
2.400 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.401 * [backup-simplify]: Simplify (+ 0) into 0
2.401 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
2.402 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
2.402 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.403 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
2.403 * [backup-simplify]: Simplify (- 0) into 0
2.404 * [backup-simplify]: Simplify (+ 0 0) into 0
2.404 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
2.404 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
2.405 * [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
2.405 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0
2.406 * [backup-simplify]: Simplify (+ 0 0) into 0
2.406 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
2.406 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
2.406 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
2.407 * [backup-simplify]: Simplify (- 0) into 0
2.407 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
2.407 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0
2.407 * [backup-simplify]: Simplify (* 0 (* 1/2 (/ U (cos (* 1/2 K))))) into 0
2.407 * [backup-simplify]: Simplify (* -2 0) into 0
2.407 * [taylor]: Taking taylor expansion of 0 in K
2.407 * [backup-simplify]: Simplify 0 into 0
2.407 * [taylor]: Taking taylor expansion of 0 in U
2.407 * [backup-simplify]: Simplify 0 into 0
2.407 * [backup-simplify]: Simplify 0 into 0
2.408 * [backup-simplify]: Simplify (+ 0) into 0
2.408 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
2.409 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
2.409 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.410 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
2.410 * [backup-simplify]: Simplify (- 0) into 0
2.411 * [backup-simplify]: Simplify (+ 0 0) into 0
2.411 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K))
2.412 * [backup-simplify]: Simplify (+ (* 0 0) (* (cos (* 1/2 K)) (* 1/2 (/ U (cos (* 1/2 K)))))) into (* 1/2 U)
2.412 * [backup-simplify]: Simplify (+ (* -2 (* 1/2 U)) (* 0 0)) into (- U)
2.412 * [taylor]: Taking taylor expansion of (- U) in K
2.412 * [taylor]: Taking taylor expansion of U in K
2.412 * [backup-simplify]: Simplify U into U
2.412 * [backup-simplify]: Simplify (- U) into (- U)
2.412 * [taylor]: Taking taylor expansion of (- U) in U
2.412 * [taylor]: Taking taylor expansion of U in U
2.412 * [backup-simplify]: Simplify 0 into 0
2.412 * [backup-simplify]: Simplify 1 into 1
2.413 * [backup-simplify]: Simplify (- 0) into 0
2.413 * [backup-simplify]: Simplify 0 into 0
2.413 * [taylor]: Taking taylor expansion of 0 in U
2.413 * [backup-simplify]: Simplify 0 into 0
2.413 * [backup-simplify]: Simplify 0 into 0
2.413 * [backup-simplify]: Simplify 0 into 0
2.413 * [backup-simplify]: Simplify (+ (* U 0) (+ (* 0 0) (* 0 U))) into 0
2.414 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.415 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.416 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
2.416 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
2.417 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.417 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
2.418 * [backup-simplify]: Simplify (- 0) into 0
2.418 * [backup-simplify]: Simplify (+ 0 0) into 0
2.418 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0
2.419 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
2.420 * [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))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
2.421 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))) into 0
2.421 * [backup-simplify]: Simplify (+ 0 1) into 1
2.422 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ U (cos (* 1/2 K)))))) into (/ (cos (* 1/2 K)) U)
2.423 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.423 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
2.424 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
2.425 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.425 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
2.426 * [backup-simplify]: Simplify (- 0) into 0
2.426 * [backup-simplify]: Simplify (+ 0 0) into 0
2.427 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0
2.427 * [backup-simplify]: Simplify (+ (* 0 (/ (cos (* 1/2 K)) U)) (+ (* (cos (* 1/2 K)) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K))))))) into 0
2.428 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/2 U)) (* 0 0))) into 0
2.428 * [taylor]: Taking taylor expansion of 0 in K
2.428 * [backup-simplify]: Simplify 0 into 0
2.428 * [taylor]: Taking taylor expansion of 0 in U
2.428 * [backup-simplify]: Simplify 0 into 0
2.428 * [backup-simplify]: Simplify 0 into 0
2.428 * [backup-simplify]: Simplify (- 0) into 0
2.428 * [taylor]: Taking taylor expansion of 0 in U
2.428 * [backup-simplify]: Simplify 0 into 0
2.428 * [backup-simplify]: Simplify 0 into 0
2.428 * [backup-simplify]: Simplify 0 into 0
2.429 * [backup-simplify]: Simplify (* (* (/ 1 J) (* -2 (cos (/ (/ 1 K) 2)))) (sqrt (+ (* (/ (/ 1 U) (* (cos (/ (/ 1 K) 2)) (* 2 (/ 1 J)))) (/ (/ 1 U) (* (cos (/ (/ 1 K) 2)) (* 2 (/ 1 J))))) 1))) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)))
2.429 * [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 (J K U) around 0
2.429 * [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
2.429 * [taylor]: Taking taylor expansion of -2 in U
2.429 * [backup-simplify]: Simplify -2 into -2
2.429 * [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
2.429 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
2.429 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
2.429 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
2.430 * [taylor]: Taking taylor expansion of 1/4 in U
2.430 * [backup-simplify]: Simplify 1/4 into 1/4
2.430 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
2.430 * [taylor]: Taking taylor expansion of (pow J 2) in U
2.430 * [taylor]: Taking taylor expansion of J in U
2.430 * [backup-simplify]: Simplify J into J
2.430 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
2.430 * [taylor]: Taking taylor expansion of (pow U 2) in U
2.430 * [taylor]: Taking taylor expansion of U in U
2.430 * [backup-simplify]: Simplify 0 into 0
2.430 * [backup-simplify]: Simplify 1 into 1
2.430 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
2.430 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
2.430 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
2.430 * [taylor]: Taking taylor expansion of 1/2 in U
2.430 * [backup-simplify]: Simplify 1/2 into 1/2
2.430 * [taylor]: Taking taylor expansion of K in U
2.430 * [backup-simplify]: Simplify K into K
2.430 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
2.430 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.430 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
2.430 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.430 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
2.431 * [backup-simplify]: Simplify (- 0) into 0
2.431 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
2.431 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.431 * [backup-simplify]: Simplify (* 1 1) into 1
2.431 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
2.432 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
2.432 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
2.432 * [taylor]: Taking taylor expansion of 1 in U
2.432 * [backup-simplify]: Simplify 1 into 1
2.432 * [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)))
2.432 * [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)))
2.432 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
2.433 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
2.433 * [backup-simplify]: Simplify (+ 0) into 0
2.433 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
2.434 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
2.434 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.435 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
2.435 * [backup-simplify]: Simplify (- 0) into 0
2.436 * [backup-simplify]: Simplify (+ 0 0) into 0
2.436 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
2.436 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.437 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
2.437 * [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
2.438 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
2.438 * [backup-simplify]: Simplify (+ 0 0) into 0
2.438 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
2.439 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U
2.439 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
2.439 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
2.439 * [taylor]: Taking taylor expansion of 1/2 in U
2.439 * [backup-simplify]: Simplify 1/2 into 1/2
2.439 * [taylor]: Taking taylor expansion of K in U
2.439 * [backup-simplify]: Simplify K into K
2.439 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
2.439 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.439 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
2.439 * [taylor]: Taking taylor expansion of J in U
2.439 * [backup-simplify]: Simplify J into J
2.439 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.439 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
2.439 * [backup-simplify]: Simplify (- 0) into 0
2.440 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
2.440 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
2.440 * [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
2.440 * [taylor]: Taking taylor expansion of -2 in K
2.440 * [backup-simplify]: Simplify -2 into -2
2.440 * [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
2.440 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K
2.440 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K
2.440 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
2.440 * [taylor]: Taking taylor expansion of 1/4 in K
2.440 * [backup-simplify]: Simplify 1/4 into 1/4
2.440 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
2.440 * [taylor]: Taking taylor expansion of (pow J 2) in K
2.440 * [taylor]: Taking taylor expansion of J in K
2.440 * [backup-simplify]: Simplify J into J
2.440 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
2.440 * [taylor]: Taking taylor expansion of (pow U 2) in K
2.440 * [taylor]: Taking taylor expansion of U in K
2.440 * [backup-simplify]: Simplify U into U
2.440 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
2.440 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
2.440 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
2.440 * [taylor]: Taking taylor expansion of 1/2 in K
2.440 * [backup-simplify]: Simplify 1/2 into 1/2
2.440 * [taylor]: Taking taylor expansion of K in K
2.440 * [backup-simplify]: Simplify 0 into 0
2.440 * [backup-simplify]: Simplify 1 into 1
2.441 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.441 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.441 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.441 * [backup-simplify]: Simplify (* U U) into (pow U 2)
2.441 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
2.441 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
2.441 * [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)))
2.442 * [taylor]: Taking taylor expansion of 1 in K
2.442 * [backup-simplify]: Simplify 1 into 1
2.442 * [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))))
2.442 * [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)
2.443 * [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))
2.443 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
2.443 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
2.443 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
2.443 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
2.444 * [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
2.444 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
2.445 * [backup-simplify]: Simplify (+ 0 0) into 0
2.445 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
2.445 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K
2.445 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
2.445 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
2.445 * [taylor]: Taking taylor expansion of 1/2 in K
2.445 * [backup-simplify]: Simplify 1/2 into 1/2
2.445 * [taylor]: Taking taylor expansion of K in K
2.445 * [backup-simplify]: Simplify 0 into 0
2.445 * [backup-simplify]: Simplify 1 into 1
2.446 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.446 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.446 * [taylor]: Taking taylor expansion of J in K
2.446 * [backup-simplify]: Simplify J into J
2.446 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
2.446 * [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
2.446 * [taylor]: Taking taylor expansion of -2 in J
2.447 * [backup-simplify]: Simplify -2 into -2
2.447 * [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
2.447 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
2.447 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
2.447 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
2.447 * [taylor]: Taking taylor expansion of 1/4 in J
2.447 * [backup-simplify]: Simplify 1/4 into 1/4
2.447 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
2.447 * [taylor]: Taking taylor expansion of (pow J 2) in J
2.447 * [taylor]: Taking taylor expansion of J in J
2.447 * [backup-simplify]: Simplify 0 into 0
2.447 * [backup-simplify]: Simplify 1 into 1
2.447 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
2.447 * [taylor]: Taking taylor expansion of (pow U 2) in J
2.447 * [taylor]: Taking taylor expansion of U in J
2.447 * [backup-simplify]: Simplify U into U
2.447 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
2.447 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
2.447 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
2.447 * [taylor]: Taking taylor expansion of 1/2 in J
2.447 * [backup-simplify]: Simplify 1/2 into 1/2
2.447 * [taylor]: Taking taylor expansion of K in J
2.447 * [backup-simplify]: Simplify K into K
2.447 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
2.447 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.447 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
2.447 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.448 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
2.448 * [backup-simplify]: Simplify (- 0) into 0
2.448 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
2.448 * [backup-simplify]: Simplify (* 1 1) into 1
2.448 * [backup-simplify]: Simplify (* U U) into (pow U 2)
2.449 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
2.449 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
2.449 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
2.449 * [taylor]: Taking taylor expansion of 1 in J
2.449 * [backup-simplify]: Simplify 1 into 1
2.449 * [backup-simplify]: Simplify (+ 0 1) into 1
2.450 * [backup-simplify]: Simplify (sqrt 1) into 1
2.450 * [backup-simplify]: Simplify (+ 0 0) into 0
2.451 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.451 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
2.451 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
2.451 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
2.451 * [taylor]: Taking taylor expansion of 1/2 in J
2.451 * [backup-simplify]: Simplify 1/2 into 1/2
2.451 * [taylor]: Taking taylor expansion of K in J
2.451 * [backup-simplify]: Simplify K into K
2.451 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
2.451 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.451 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
2.451 * [taylor]: Taking taylor expansion of J in J
2.451 * [backup-simplify]: Simplify 0 into 0
2.451 * [backup-simplify]: Simplify 1 into 1
2.451 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.452 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
2.452 * [backup-simplify]: Simplify (- 0) into 0
2.452 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
2.452 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.452 * [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
2.452 * [taylor]: Taking taylor expansion of -2 in J
2.452 * [backup-simplify]: Simplify -2 into -2
2.452 * [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
2.452 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
2.452 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
2.452 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
2.452 * [taylor]: Taking taylor expansion of 1/4 in J
2.452 * [backup-simplify]: Simplify 1/4 into 1/4
2.452 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
2.452 * [taylor]: Taking taylor expansion of (pow J 2) in J
2.452 * [taylor]: Taking taylor expansion of J in J
2.453 * [backup-simplify]: Simplify 0 into 0
2.453 * [backup-simplify]: Simplify 1 into 1
2.453 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
2.453 * [taylor]: Taking taylor expansion of (pow U 2) in J
2.453 * [taylor]: Taking taylor expansion of U in J
2.453 * [backup-simplify]: Simplify U into U
2.453 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
2.453 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
2.453 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
2.453 * [taylor]: Taking taylor expansion of 1/2 in J
2.453 * [backup-simplify]: Simplify 1/2 into 1/2
2.453 * [taylor]: Taking taylor expansion of K in J
2.453 * [backup-simplify]: Simplify K into K
2.453 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
2.453 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.453 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
2.453 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.453 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
2.454 * [backup-simplify]: Simplify (- 0) into 0
2.454 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
2.454 * [backup-simplify]: Simplify (* 1 1) into 1
2.454 * [backup-simplify]: Simplify (* U U) into (pow U 2)
2.454 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
2.454 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
2.455 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
2.455 * [taylor]: Taking taylor expansion of 1 in J
2.455 * [backup-simplify]: Simplify 1 into 1
2.455 * [backup-simplify]: Simplify (+ 0 1) into 1
2.456 * [backup-simplify]: Simplify (sqrt 1) into 1
2.456 * [backup-simplify]: Simplify (+ 0 0) into 0
2.457 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.457 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
2.457 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
2.457 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
2.457 * [taylor]: Taking taylor expansion of 1/2 in J
2.457 * [backup-simplify]: Simplify 1/2 into 1/2
2.457 * [taylor]: Taking taylor expansion of K in J
2.457 * [backup-simplify]: Simplify K into K
2.457 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
2.457 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.457 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
2.457 * [taylor]: Taking taylor expansion of J in J
2.457 * [backup-simplify]: Simplify 0 into 0
2.457 * [backup-simplify]: Simplify 1 into 1
2.457 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.457 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
2.458 * [backup-simplify]: Simplify (- 0) into 0
2.458 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
2.458 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.458 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K))
2.458 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K)))
2.458 * [taylor]: Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in K
2.458 * [taylor]: Taking taylor expansion of -2 in K
2.458 * [backup-simplify]: Simplify -2 into -2
2.458 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
2.458 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
2.459 * [taylor]: Taking taylor expansion of 1/2 in K
2.459 * [backup-simplify]: Simplify 1/2 into 1/2
2.459 * [taylor]: Taking taylor expansion of K in K
2.459 * [backup-simplify]: Simplify 0 into 0
2.459 * [backup-simplify]: Simplify 1 into 1
2.459 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.459 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.459 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K)))
2.459 * [taylor]: Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in U
2.459 * [taylor]: Taking taylor expansion of -2 in U
2.459 * [backup-simplify]: Simplify -2 into -2
2.459 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
2.459 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
2.459 * [taylor]: Taking taylor expansion of 1/2 in U
2.460 * [backup-simplify]: Simplify 1/2 into 1/2
2.460 * [taylor]: Taking taylor expansion of K in U
2.460 * [backup-simplify]: Simplify K into K
2.460 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
2.460 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.460 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
2.460 * [backup-simplify]: Simplify (+ 0) into 0
2.461 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
2.461 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
2.462 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.462 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
2.463 * [backup-simplify]: Simplify (- 0) into 0
2.463 * [backup-simplify]: Simplify (+ 0 0) into 0
2.464 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0
2.465 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (cos (/ 1/2 K)))) into 0
2.465 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0
2.465 * [taylor]: Taking taylor expansion of 0 in K
2.465 * [backup-simplify]: Simplify 0 into 0
2.465 * [taylor]: Taking taylor expansion of 0 in U
2.465 * [backup-simplify]: Simplify 0 into 0
2.466 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0
2.466 * [taylor]: Taking taylor expansion of 0 in U
2.466 * [backup-simplify]: Simplify 0 into 0
2.466 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.466 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
2.468 * [backup-simplify]: Simplify (- 0) into 0
2.468 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
2.468 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K)))
2.469 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K)))
2.470 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.470 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
2.471 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
2.471 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.472 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
2.472 * [backup-simplify]: Simplify (- 0) into 0
2.473 * [backup-simplify]: Simplify (+ 0 0) into 0
2.474 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.475 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
2.475 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))
2.476 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
2.477 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (cos (/ 1/2 K))))) into (* 1/8 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))
2.478 * [backup-simplify]: Simplify (+ (* -2 (* 1/8 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))))
2.478 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) in K
2.478 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) in K
2.478 * [taylor]: Taking taylor expansion of 1/4 in K
2.478 * [backup-simplify]: Simplify 1/4 into 1/4
2.478 * [taylor]: Taking taylor expansion of (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) in K
2.478 * [taylor]: Taking taylor expansion of (* (pow U 2) (cos (/ 1/2 K))) in K
2.478 * [taylor]: Taking taylor expansion of (pow U 2) in K
2.478 * [taylor]: Taking taylor expansion of U in K
2.478 * [backup-simplify]: Simplify U into U
2.478 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
2.478 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
2.478 * [taylor]: Taking taylor expansion of 1/2 in K
2.478 * [backup-simplify]: Simplify 1/2 into 1/2
2.478 * [taylor]: Taking taylor expansion of K in K
2.478 * [backup-simplify]: Simplify 0 into 0
2.478 * [backup-simplify]: Simplify 1 into 1
2.479 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.479 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.479 * [backup-simplify]: Simplify (* U U) into (pow U 2)
2.479 * [backup-simplify]: Simplify (* (pow U 2) (cos (/ 1/2 K))) into (* (pow U 2) (cos (/ 1/2 K)))
2.479 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) into (/ 1 (* (pow U 2) (cos (/ 1/2 K))))
2.480 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) into (/ 1/4 (* (pow U 2) (cos (/ 1/2 K))))
2.480 * [backup-simplify]: Simplify (- (/ 1/4 (* (pow U 2) (cos (/ 1/2 K))))) into (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))))
2.480 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) in U
2.480 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) in U
2.480 * [taylor]: Taking taylor expansion of 1/4 in U
2.480 * [backup-simplify]: Simplify 1/4 into 1/4
2.480 * [taylor]: Taking taylor expansion of (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) in U
2.480 * [taylor]: Taking taylor expansion of (* (pow U 2) (cos (/ 1/2 K))) in U
2.480 * [taylor]: Taking taylor expansion of (pow U 2) in U
2.480 * [taylor]: Taking taylor expansion of U in U
2.480 * [backup-simplify]: Simplify 0 into 0
2.480 * [backup-simplify]: Simplify 1 into 1
2.480 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
2.480 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
2.480 * [taylor]: Taking taylor expansion of 1/2 in U
2.480 * [backup-simplify]: Simplify 1/2 into 1/2
2.480 * [taylor]: Taking taylor expansion of K in U
2.480 * [backup-simplify]: Simplify K into K
2.480 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
2.480 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.480 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
2.481 * [backup-simplify]: Simplify (* 1 1) into 1
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))
2.481 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K))
2.482 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K)))
2.482 * [backup-simplify]: Simplify (+ 0) into 0
2.482 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
2.483 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
2.483 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.484 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
2.484 * [backup-simplify]: Simplify (- 0) into 0
2.485 * [backup-simplify]: Simplify (+ 0 0) into 0
2.485 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.486 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (cos (/ 1/2 K)))) into 0
2.486 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
2.486 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0
2.487 * [backup-simplify]: Simplify (- 0) into 0
2.487 * [backup-simplify]: Simplify 0 into 0
2.487 * [taylor]: Taking taylor expansion of 0 in U
2.487 * [backup-simplify]: Simplify 0 into 0
2.487 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
2.487 * [taylor]: Taking taylor expansion of 0 in U
2.487 * [backup-simplify]: Simplify 0 into 0
2.487 * [backup-simplify]: Simplify 0 into 0
2.488 * [backup-simplify]: Simplify 0 into 0
2.488 * [backup-simplify]: Simplify (+ 0) into 0
2.488 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
2.488 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
2.489 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.489 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
2.489 * [backup-simplify]: Simplify (- 0) into 0
2.489 * [backup-simplify]: Simplify (+ 0 0) into 0
2.490 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0
2.490 * [backup-simplify]: Simplify 0 into 0
2.490 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
2.491 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.491 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
2.492 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
2.492 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
2.492 * [backup-simplify]: Simplify (- 0) into 0
2.493 * [backup-simplify]: Simplify (+ 0 0) into 0
2.494 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.494 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.495 * [backup-simplify]: Simplify (+ 0) into 0
2.495 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
2.495 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
2.496 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.496 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
2.496 * [backup-simplify]: Simplify (- 0) into 0
2.496 * [backup-simplify]: Simplify (+ 0 0) into 0
2.497 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
2.497 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
2.497 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
2.497 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
2.498 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
2.498 * [backup-simplify]: Simplify (+ 0 0) into 0
2.498 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))) (* 2 1)) into 0
2.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 0) (* 0 (cos (/ 1/2 K)))))) into 0
2.500 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
2.500 * [taylor]: Taking taylor expansion of 0 in K
2.500 * [backup-simplify]: Simplify 0 into 0
2.500 * [taylor]: Taking taylor expansion of 0 in U
2.500 * [backup-simplify]: Simplify 0 into 0
2.500 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
2.500 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (cos (/ 1/2 K)))) into 0
2.500 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) (/ 0 (* (pow U 2) (cos (/ 1/2 K))))))) into 0
2.500 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) into 0
2.501 * [backup-simplify]: Simplify (- 0) into 0
2.501 * [taylor]: Taking taylor expansion of 0 in U
2.501 * [backup-simplify]: Simplify 0 into 0
2.501 * [taylor]: Taking taylor expansion of 0 in U
2.501 * [backup-simplify]: Simplify 0 into 0
2.502 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
2.502 * [taylor]: Taking taylor expansion of 0 in U
2.502 * [backup-simplify]: Simplify 0 into 0
2.502 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.503 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
2.503 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
2.503 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.504 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
2.504 * [backup-simplify]: Simplify (- 0) into 0
2.504 * [backup-simplify]: Simplify (+ 0 0) into 0
2.505 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.505 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
2.505 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0
2.506 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K)))))) into 0
2.506 * [backup-simplify]: Simplify (- 0) into 0
2.506 * [backup-simplify]: Simplify 0 into 0
2.506 * [backup-simplify]: Simplify 0 into 0
2.507 * [backup-simplify]: Simplify (* (* -2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* 1 (/ 1 (/ 1 J))))) into (* -2 (* (cos (* 1/2 K)) J))
2.507 * [backup-simplify]: Simplify (* (* (/ 1 (- J)) (* -2 (cos (/ (/ 1 (- K)) 2)))) (sqrt (+ (* (/ (/ 1 (- U)) (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J))))) (/ (/ 1 (- U)) (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J)))))) 1))) into (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))))
2.507 * [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 (J K U) around 0
2.507 * [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
2.507 * [taylor]: Taking taylor expansion of 2 in U
2.507 * [backup-simplify]: Simplify 2 into 2
2.507 * [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
2.507 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U
2.507 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
2.507 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
2.507 * [taylor]: Taking taylor expansion of -1/2 in U
2.507 * [backup-simplify]: Simplify -1/2 into -1/2
2.507 * [taylor]: Taking taylor expansion of K in U
2.507 * [backup-simplify]: Simplify K into K
2.507 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
2.507 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.507 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
2.507 * [taylor]: Taking taylor expansion of J in U
2.507 * [backup-simplify]: Simplify J into J
2.507 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.508 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
2.508 * [backup-simplify]: Simplify (- 0) into 0
2.508 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
2.508 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
2.508 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
2.508 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
2.508 * [taylor]: Taking taylor expansion of 1 in U
2.508 * [backup-simplify]: Simplify 1 into 1
2.508 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
2.508 * [taylor]: Taking taylor expansion of 1/4 in U
2.508 * [backup-simplify]: Simplify 1/4 into 1/4
2.508 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
2.508 * [taylor]: Taking taylor expansion of (pow J 2) in U
2.508 * [taylor]: Taking taylor expansion of J in U
2.508 * [backup-simplify]: Simplify J into J
2.508 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
2.508 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
2.508 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
2.508 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
2.508 * [taylor]: Taking taylor expansion of -1/2 in U
2.508 * [backup-simplify]: Simplify -1/2 into -1/2
2.508 * [taylor]: Taking taylor expansion of K in U
2.508 * [backup-simplify]: Simplify K into K
2.508 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
2.508 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.508 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
2.508 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.508 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
2.509 * [backup-simplify]: Simplify (- 0) into 0
2.509 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
2.509 * [taylor]: Taking taylor expansion of (pow U 2) in U
2.509 * [taylor]: Taking taylor expansion of U in U
2.509 * [backup-simplify]: Simplify 0 into 0
2.509 * [backup-simplify]: Simplify 1 into 1
2.509 * [backup-simplify]: Simplify (* J J) into (pow J 2)
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 1) into 1
2.509 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
2.509 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
2.509 * [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)))
2.510 * [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)))
2.510 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
2.510 * [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
2.511 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.512 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
2.512 * [backup-simplify]: Simplify (- 0) into 0
2.512 * [backup-simplify]: Simplify (+ 0 0) into 0
2.512 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
2.513 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
2.513 * [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
2.513 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
2.513 * [backup-simplify]: Simplify (+ 0 0) into 0
2.514 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
2.514 * [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
2.514 * [taylor]: Taking taylor expansion of 2 in K
2.514 * [backup-simplify]: Simplify 2 into 2
2.514 * [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
2.514 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K
2.514 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
2.514 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
2.514 * [taylor]: Taking taylor expansion of -1/2 in K
2.514 * [backup-simplify]: Simplify -1/2 into -1/2
2.514 * [taylor]: Taking taylor expansion of K in K
2.514 * [backup-simplify]: Simplify 0 into 0
2.514 * [backup-simplify]: Simplify 1 into 1
2.514 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
2.514 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.514 * [taylor]: Taking taylor expansion of J in K
2.514 * [backup-simplify]: Simplify J into J
2.514 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
2.514 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K
2.514 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K
2.514 * [taylor]: Taking taylor expansion of 1 in K
2.514 * [backup-simplify]: Simplify 1 into 1
2.514 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
2.514 * [taylor]: Taking taylor expansion of 1/4 in K
2.514 * [backup-simplify]: Simplify 1/4 into 1/4
2.514 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
2.514 * [taylor]: Taking taylor expansion of (pow J 2) in K
2.514 * [taylor]: Taking taylor expansion of J in K
2.514 * [backup-simplify]: Simplify J into J
2.514 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
2.514 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
2.514 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
2.514 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
2.514 * [taylor]: Taking taylor expansion of -1/2 in K
2.515 * [backup-simplify]: Simplify -1/2 into -1/2
2.515 * [taylor]: Taking taylor expansion of K in K
2.515 * [backup-simplify]: Simplify 0 into 0
2.515 * [backup-simplify]: Simplify 1 into 1
2.515 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
2.515 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.515 * [taylor]: Taking taylor expansion of (pow U 2) in K
2.515 * [taylor]: Taking taylor expansion of U in K
2.515 * [backup-simplify]: Simplify U into U
2.515 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.515 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
2.515 * [backup-simplify]: Simplify (* U U) into (pow U 2)
2.515 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
2.515 * [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)))
2.515 * [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))))
2.516 * [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)))))
2.516 * [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))))))
2.516 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
2.516 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
2.516 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
2.516 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
2.517 * [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
2.517 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
2.517 * [backup-simplify]: Simplify (+ 0 0) into 0
2.518 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0
2.518 * [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
2.518 * [taylor]: Taking taylor expansion of 2 in J
2.518 * [backup-simplify]: Simplify 2 into 2
2.518 * [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
2.518 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
2.518 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
2.518 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
2.518 * [taylor]: Taking taylor expansion of -1/2 in J
2.518 * [backup-simplify]: Simplify -1/2 into -1/2
2.518 * [taylor]: Taking taylor expansion of K in J
2.518 * [backup-simplify]: Simplify K into K
2.518 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
2.518 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.518 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
2.518 * [taylor]: Taking taylor expansion of J in J
2.518 * [backup-simplify]: Simplify 0 into 0
2.518 * [backup-simplify]: Simplify 1 into 1
2.518 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.518 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
2.518 * [backup-simplify]: Simplify (- 0) into 0
2.518 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
2.518 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.518 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
2.518 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
2.518 * [taylor]: Taking taylor expansion of 1 in J
2.518 * [backup-simplify]: Simplify 1 into 1
2.518 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
2.518 * [taylor]: Taking taylor expansion of 1/4 in J
2.518 * [backup-simplify]: Simplify 1/4 into 1/4
2.519 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
2.519 * [taylor]: Taking taylor expansion of (pow J 2) in J
2.519 * [taylor]: Taking taylor expansion of J in J
2.519 * [backup-simplify]: Simplify 0 into 0
2.519 * [backup-simplify]: Simplify 1 into 1
2.519 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
2.519 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
2.519 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
2.519 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
2.519 * [taylor]: Taking taylor expansion of -1/2 in J
2.519 * [backup-simplify]: Simplify -1/2 into -1/2
2.519 * [taylor]: Taking taylor expansion of K in J
2.519 * [backup-simplify]: Simplify K into K
2.519 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
2.519 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.519 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
2.519 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.519 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
2.519 * [backup-simplify]: Simplify (- 0) into 0
2.519 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
2.519 * [taylor]: Taking taylor expansion of (pow U 2) in J
2.519 * [taylor]: Taking taylor expansion of U in J
2.519 * [backup-simplify]: Simplify U into U
2.520 * [backup-simplify]: Simplify (* 1 1) into 1
2.520 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
2.520 * [backup-simplify]: Simplify (* U U) into (pow U 2)
2.520 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
2.520 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
2.520 * [backup-simplify]: Simplify (+ 1 0) into 1
2.520 * [backup-simplify]: Simplify (sqrt 1) into 1
2.521 * [backup-simplify]: Simplify (+ 0 0) into 0
2.521 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.521 * [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
2.521 * [taylor]: Taking taylor expansion of 2 in J
2.521 * [backup-simplify]: Simplify 2 into 2
2.521 * [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
2.521 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
2.521 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
2.521 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
2.521 * [taylor]: Taking taylor expansion of -1/2 in J
2.521 * [backup-simplify]: Simplify -1/2 into -1/2
2.521 * [taylor]: Taking taylor expansion of K in J
2.521 * [backup-simplify]: Simplify K into K
2.521 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
2.521 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.521 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
2.521 * [taylor]: Taking taylor expansion of J in J
2.521 * [backup-simplify]: Simplify 0 into 0
2.521 * [backup-simplify]: Simplify 1 into 1
2.521 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.522 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
2.522 * [backup-simplify]: Simplify (- 0) into 0
2.522 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
2.522 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.522 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
2.522 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
2.522 * [taylor]: Taking taylor expansion of 1 in J
2.522 * [backup-simplify]: Simplify 1 into 1
2.522 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
2.522 * [taylor]: Taking taylor expansion of 1/4 in J
2.522 * [backup-simplify]: Simplify 1/4 into 1/4
2.522 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
2.522 * [taylor]: Taking taylor expansion of (pow J 2) in J
2.522 * [taylor]: Taking taylor expansion of J in J
2.522 * [backup-simplify]: Simplify 0 into 0
2.522 * [backup-simplify]: Simplify 1 into 1
2.522 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
2.522 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
2.522 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
2.522 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
2.522 * [taylor]: Taking taylor expansion of -1/2 in J
2.522 * [backup-simplify]: Simplify -1/2 into -1/2
2.522 * [taylor]: Taking taylor expansion of K in J
2.522 * [backup-simplify]: Simplify K into K
2.522 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
2.522 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.522 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
2.522 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.522 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
2.523 * [backup-simplify]: Simplify (- 0) into 0
2.523 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
2.523 * [taylor]: Taking taylor expansion of (pow U 2) in J
2.523 * [taylor]: Taking taylor expansion of U in J
2.523 * [backup-simplify]: Simplify U into U
2.523 * [backup-simplify]: Simplify (* 1 1) into 1
2.523 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
2.523 * [backup-simplify]: Simplify (* U U) into (pow U 2)
2.523 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
2.523 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
2.524 * [backup-simplify]: Simplify (+ 1 0) into 1
2.524 * [backup-simplify]: Simplify (sqrt 1) into 1
2.524 * [backup-simplify]: Simplify (+ 0 0) into 0
2.525 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.525 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.525 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K)))
2.525 * [taylor]: Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in K
2.525 * [taylor]: Taking taylor expansion of 2 in K
2.525 * [backup-simplify]: Simplify 2 into 2
2.525 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
2.525 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
2.525 * [taylor]: Taking taylor expansion of -1/2 in K
2.525 * [backup-simplify]: Simplify -1/2 into -1/2
2.525 * [taylor]: Taking taylor expansion of K in K
2.525 * [backup-simplify]: Simplify 0 into 0
2.525 * [backup-simplify]: Simplify 1 into 1
2.525 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
2.525 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.525 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K)))
2.525 * [taylor]: Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in U
2.525 * [taylor]: Taking taylor expansion of 2 in U
2.525 * [backup-simplify]: Simplify 2 into 2
2.525 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
2.525 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
2.525 * [taylor]: Taking taylor expansion of -1/2 in U
2.525 * [backup-simplify]: Simplify -1/2 into -1/2
2.525 * [taylor]: Taking taylor expansion of K in U
2.525 * [backup-simplify]: Simplify K into K
2.525 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
2.525 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.526 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
2.526 * [backup-simplify]: Simplify (+ 0) into 0
2.526 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
2.526 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
2.527 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.527 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
2.527 * [backup-simplify]: Simplify (- 0) into 0
2.527 * [backup-simplify]: Simplify (+ 0 0) into 0
2.528 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0
2.528 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
2.529 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0
2.529 * [taylor]: Taking taylor expansion of 0 in K
2.529 * [backup-simplify]: Simplify 0 into 0
2.529 * [taylor]: Taking taylor expansion of 0 in U
2.529 * [backup-simplify]: Simplify 0 into 0
2.529 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0
2.529 * [taylor]: Taking taylor expansion of 0 in U
2.529 * [backup-simplify]: Simplify 0 into 0
2.529 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.529 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
2.529 * [backup-simplify]: Simplify (- 0) into 0
2.530 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
2.530 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K)))
2.530 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K)))
2.530 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
2.530 * [backup-simplify]: Simplify (+ 0 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
2.531 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
2.531 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.532 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
2.532 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
2.532 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.533 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
2.533 * [backup-simplify]: Simplify (- 0) into 0
2.533 * [backup-simplify]: Simplify (+ 0 0) into 0
2.534 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.535 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 1))) into (* 1/8 (/ 1 (* (cos (/ -1/2 K)) (pow U 2))))
2.535 * [backup-simplify]: Simplify (+ (* 2 (* 1/8 (/ 1 (* (cos (/ -1/2 K)) (pow U 2))))) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2))))
2.535 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) in K
2.535 * [taylor]: Taking taylor expansion of 1/4 in K
2.535 * [backup-simplify]: Simplify 1/4 into 1/4
2.535 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) in K
2.536 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow U 2)) in K
2.536 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
2.536 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
2.536 * [taylor]: Taking taylor expansion of -1/2 in K
2.536 * [backup-simplify]: Simplify -1/2 into -1/2
2.536 * [taylor]: Taking taylor expansion of K in K
2.536 * [backup-simplify]: Simplify 0 into 0
2.536 * [backup-simplify]: Simplify 1 into 1
2.536 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
2.536 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.536 * [taylor]: Taking taylor expansion of (pow U 2) in K
2.536 * [taylor]: Taking taylor expansion of U in K
2.536 * [backup-simplify]: Simplify U into U
2.536 * [backup-simplify]: Simplify (* U U) into (pow U 2)
2.536 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (pow U 2)) into (* (cos (/ -1/2 K)) (pow U 2))
2.537 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) into (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))
2.537 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) into (/ 1/4 (* (cos (/ -1/2 K)) (pow U 2)))
2.537 * [taylor]: Taking taylor expansion of (/ 1/4 (* (cos (/ -1/2 K)) (pow U 2))) in U
2.537 * [taylor]: Taking taylor expansion of 1/4 in U
2.537 * [backup-simplify]: Simplify 1/4 into 1/4
2.537 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow U 2)) in U
2.537 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
2.537 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
2.537 * [taylor]: Taking taylor expansion of -1/2 in U
2.537 * [backup-simplify]: Simplify -1/2 into -1/2
2.537 * [taylor]: Taking taylor expansion of K in U
2.537 * [backup-simplify]: Simplify K into K
2.537 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
2.537 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.537 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
2.537 * [taylor]: Taking taylor expansion of (pow U 2) in U
2.537 * [taylor]: Taking taylor expansion of U in U
2.537 * [backup-simplify]: Simplify 0 into 0
2.537 * [backup-simplify]: Simplify 1 into 1
2.537 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.538 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
2.538 * [backup-simplify]: Simplify (- 0) into 0
2.538 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
2.538 * [backup-simplify]: Simplify (* 1 1) into 1
2.539 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.539 * [backup-simplify]: Simplify (/ 1/4 (cos (/ -1/2 K))) into (/ 1/4 (cos (/ -1/2 K)))
2.539 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.540 * [backup-simplify]: Simplify (+ 0) into 0
2.540 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
2.540 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
2.541 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.541 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
2.542 * [backup-simplify]: Simplify (- 0) into 0
2.542 * [backup-simplify]: Simplify (+ 0 0) into 0
2.543 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
2.543 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/4 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
2.543 * [backup-simplify]: Simplify 0 into 0
2.543 * [taylor]: Taking taylor expansion of 0 in U
2.543 * [backup-simplify]: Simplify 0 into 0
2.544 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
2.544 * [taylor]: Taking taylor expansion of 0 in U
2.544 * [backup-simplify]: Simplify 0 into 0
2.544 * [backup-simplify]: Simplify 0 into 0
2.544 * [backup-simplify]: Simplify 0 into 0
2.544 * [backup-simplify]: Simplify (+ 0) into 0
2.545 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
2.545 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
2.546 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.546 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
2.547 * [backup-simplify]: Simplify (- 0) into 0
2.547 * [backup-simplify]: Simplify (+ 0 0) into 0
2.548 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0
2.548 * [backup-simplify]: Simplify 0 into 0
2.549 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.549 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
2.549 * [backup-simplify]: Simplify (+ 0) into 0
2.550 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
2.550 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
2.551 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.551 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
2.551 * [backup-simplify]: Simplify (- 0) into 0
2.552 * [backup-simplify]: Simplify (+ 0 0) into 0
2.552 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
2.552 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
2.553 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0
2.553 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
2.554 * [backup-simplify]: Simplify (+ 0 0) into 0
2.554 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) (* 2 1)) into 0
2.555 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
2.556 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.556 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 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
2.561 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.562 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 1)))) into 0
2.563 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (/ -1/2 K)) (pow U 2))))) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
2.563 * [taylor]: Taking taylor expansion of 0 in K
2.563 * [backup-simplify]: Simplify 0 into 0
2.563 * [taylor]: Taking taylor expansion of 0 in U
2.563 * [backup-simplify]: Simplify 0 into 0
2.564 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
2.564 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (pow U 2))) into 0
2.564 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) (/ 0 (* (cos (/ -1/2 K)) (pow U 2)))))) into 0
2.565 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (cos (/ -1/2 K)) (pow U 2))))) into 0
2.565 * [taylor]: Taking taylor expansion of 0 in U
2.565 * [backup-simplify]: Simplify 0 into 0
2.565 * [taylor]: Taking taylor expansion of 0 in U
2.565 * [backup-simplify]: Simplify 0 into 0
2.566 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
2.566 * [taylor]: Taking taylor expansion of 0 in U
2.566 * [backup-simplify]: Simplify 0 into 0
2.567 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.568 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.569 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
2.569 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
2.570 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.570 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
2.571 * [backup-simplify]: Simplify (- 0) into 0
2.571 * [backup-simplify]: Simplify (+ 0 0) into 0
2.572 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
2.572 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/4 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0
2.572 * [backup-simplify]: Simplify 0 into 0
2.572 * [backup-simplify]: Simplify 0 into 0
2.572 * [backup-simplify]: Simplify (* (* 2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* 1 (/ 1 (/ 1 (- J)))))) into (* -2 (* (cos (* 1/2 K)) J))
2.573 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1)
2.573 * [backup-simplify]: Simplify (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
2.573 * [approximate]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in (U K J) around 0
2.573 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
2.573 * [taylor]: Taking taylor expansion of 1/4 in J
2.573 * [backup-simplify]: Simplify 1/4 into 1/4
2.573 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
2.573 * [taylor]: Taking taylor expansion of (pow U 2) in J
2.573 * [taylor]: Taking taylor expansion of U in J
2.573 * [backup-simplify]: Simplify U into U
2.573 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
2.573 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
2.573 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
2.573 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
2.573 * [taylor]: Taking taylor expansion of 1/2 in J
2.573 * [backup-simplify]: Simplify 1/2 into 1/2
2.573 * [taylor]: Taking taylor expansion of K in J
2.573 * [backup-simplify]: Simplify K into K
2.573 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
2.574 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
2.574 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
2.574 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
2.574 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
2.574 * [backup-simplify]: Simplify (- 0) into 0
2.574 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
2.574 * [taylor]: Taking taylor expansion of (pow J 2) in J
2.574 * [taylor]: Taking taylor expansion of J in J
2.574 * [backup-simplify]: Simplify 0 into 0
2.574 * [backup-simplify]: Simplify 1 into 1
2.575 * [backup-simplify]: Simplify (* U U) into (pow U 2)
2.575 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
2.575 * [backup-simplify]: Simplify (* 1 1) into 1
2.575 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
2.575 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
2.575 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
2.575 * [taylor]: Taking taylor expansion of 1/4 in K
2.575 * [backup-simplify]: Simplify 1/4 into 1/4
2.575 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
2.576 * [taylor]: Taking taylor expansion of (pow U 2) in K
2.576 * [taylor]: Taking taylor expansion of U in K
2.576 * [backup-simplify]: Simplify U into U
2.576 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
2.576 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) 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
2.576 * [backup-simplify]: Simplify 0 into 0
2.576 * [backup-simplify]: Simplify 1 into 1
2.576 * [backup-simplify]: Simplify (* 1/2 0) into 0
2.577 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
2.577 * [taylor]: Taking taylor expansion of (pow J 2) in K
2.577 * [taylor]: Taking taylor expansion of J in K
2.577 * [backup-simplify]: Simplify J into J
2.577 * [backup-simplify]: Simplify (* U U) into (pow U 2)
2.578 * [backup-simplify]: Simplify (* 1 1) into 1
2.578 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.578 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
2.578 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
2.578 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
2.578 * [taylor]: Taking taylor expansion of 1/4 in U
2.578 * [backup-simplify]: Simplify 1/4 into 1/4
2.578 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
2.578 * [taylor]: Taking taylor expansion of (pow U 2) in U
2.578 * [taylor]: Taking taylor expansion of U in U
2.578 * [backup-simplify]: Simplify 0 into 0
2.578 * [backup-simplify]: Simplify 1 into 1
2.578 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
2.578 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
2.578 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
2.578 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
2.578 * [taylor]: Taking taylor expansion of 1/2 in U
2.578 * [backup-simplify]: Simplify 1/2 into 1/2
2.578 * [taylor]: Taking taylor expansion of K in U
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))
2.579 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
2.579 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
2.579 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
2.579 * [backup-simplify]: Simplify (- 0) into 0
2.579 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
2.579 * [taylor]: Taking taylor expansion of (pow J 2) in U
2.579 * [taylor]: Taking taylor expansion of J in U
2.579 * [backup-simplify]: Simplify J into J
2.579 * [backup-simplify]: Simplify (* 1 1) into 1
2.579 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
2.579 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.580 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
2.580 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
2.580 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
2.580 * [taylor]: Taking taylor expansion of 1/4 in U
2.580 * [backup-simplify]: Simplify 1/4 into 1/4
2.580 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
2.580 * [taylor]: Taking taylor expansion of (pow U 2) in U
2.580 * [taylor]: Taking taylor expansion of U in U
2.580 * [backup-simplify]: Simplify 0 into 0
2.580 * [backup-simplify]: Simplify 1 into 1
2.580 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
2.580 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
2.580 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
2.580 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
2.580 * [taylor]: Taking taylor expansion of 1/2 in U
2.580 * [backup-simplify]: Simplify 1/2 into 1/2
2.580 * [taylor]: Taking taylor expansion of K in U
2.580 * [backup-simplify]: Simplify K into K
2.580 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
2.580 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
2.580 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
2.580 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
2.580 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
2.580 * [backup-simplify]: Simplify (- 0) into 0
2.580 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
2.580 * [taylor]: Taking taylor expansion of (pow J 2) in U
2.580 * [taylor]: Taking taylor expansion of J in U
2.580 * [backup-simplify]: Simplify J into J
2.581 * [backup-simplify]: Simplify (* 1 1) into 1
2.581 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
2.581 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.581 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
2.581 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
2.581 * [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)))
2.581 * [taylor]: Taking taylor expansion of (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
2.581 * [taylor]: Taking taylor expansion of 1/4 in K
2.581 * [backup-simplify]: Simplify 1/4 into 1/4
2.581 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
2.581 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
2.581 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
2.581 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
2.581 * [taylor]: Taking taylor expansion of 1/2 in K
2.581 * [backup-simplify]: Simplify 1/2 into 1/2
2.581 * [taylor]: Taking taylor expansion of K in K
2.581 * [backup-simplify]: Simplify 0 into 0
2.581 * [backup-simplify]: Simplify 1 into 1
2.582 * [backup-simplify]: Simplify (* 1/2 0) into 0
2.582 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
2.582 * [taylor]: Taking taylor expansion of (pow J 2) in K
2.582 * [taylor]: Taking taylor expansion of J in K
2.582 * [backup-simplify]: Simplify J into J
2.582 * [backup-simplify]: Simplify (* 1 1) into 1
2.582 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.583 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
2.583 * [backup-simplify]: Simplify (/ 1/4 (pow J 2)) into (/ 1/4 (pow J 2))
2.583 * [taylor]: Taking taylor expansion of (/ 1/4 (pow J 2)) in J
2.583 * [taylor]: Taking taylor expansion of 1/4 in J
2.583 * [backup-simplify]: Simplify 1/4 into 1/4
2.583 * [taylor]: Taking taylor expansion of (pow J 2) in J
2.583 * [taylor]: Taking taylor expansion of J in J
2.583 * [backup-simplify]: Simplify 0 into 0
2.583 * [backup-simplify]: Simplify 1 into 1
2.583 * [backup-simplify]: Simplify (* 1 1) into 1
2.583 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4
2.583 * [backup-simplify]: Simplify 1/4 into 1/4
2.585 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.585 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
2.585 * [backup-simplify]: Simplify (+ 0) into 0
2.586 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
2.586 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
2.586 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.587 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
2.587 * [backup-simplify]: Simplify (- 0) into 0
2.587 * [backup-simplify]: Simplify (+ 0 0) into 0
2.587 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
2.587 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0
2.588 * [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
2.588 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0
2.588 * [taylor]: Taking taylor expansion of 0 in K
2.588 * [backup-simplify]: Simplify 0 into 0
2.588 * [taylor]: Taking taylor expansion of 0 in J
2.588 * [backup-simplify]: Simplify 0 into 0
2.588 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
2.589 * [backup-simplify]: Simplify (+ 0) into 0
2.589 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.589 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
2.589 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/4 (pow J 2)) (/ 0 (pow J 2))))) into 0
2.589 * [taylor]: Taking taylor expansion of 0 in J
2.590 * [backup-simplify]: Simplify 0 into 0
2.590 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.590 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0
2.590 * [backup-simplify]: Simplify 0 into 0
2.591 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.591 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
2.592 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.592 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
2.593 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
2.593 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.594 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
2.594 * [backup-simplify]: Simplify (- 0) into 0
2.594 * [backup-simplify]: Simplify (+ 0 0) into 0
2.595 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0
2.595 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 (pow J 2)))) into 0
2.595 * [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
2.596 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
2.596 * [taylor]: Taking taylor expansion of 0 in K
2.596 * [backup-simplify]: Simplify 0 into 0
2.596 * [taylor]: Taking taylor expansion of 0 in J
2.596 * [backup-simplify]: Simplify 0 into 0
2.596 * [taylor]: Taking taylor expansion of 0 in J
2.596 * [backup-simplify]: Simplify 0 into 0
2.596 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
2.597 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8
2.598 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (* -1/8 1))) into -1/4
2.598 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/4 (pow J 2)))) into (- (* 1/4 (pow J 2)))
2.598 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/4 (pow J 2)) (/ (- (* 1/4 (pow J 2))) (pow J 2))) (* 0 (/ 0 (pow J 2))))) into (* 1/16 (/ 1 (pow J 2)))
2.598 * [taylor]: Taking taylor expansion of (* 1/16 (/ 1 (pow J 2))) in J
2.598 * [taylor]: Taking taylor expansion of 1/16 in J
2.598 * [backup-simplify]: Simplify 1/16 into 1/16
2.598 * [taylor]: Taking taylor expansion of (/ 1 (pow J 2)) in J
2.598 * [taylor]: Taking taylor expansion of (pow J 2) in J
2.598 * [taylor]: Taking taylor expansion of J in J
2.598 * [backup-simplify]: Simplify 0 into 0
2.598 * [backup-simplify]: Simplify 1 into 1
2.599 * [backup-simplify]: Simplify (* 1 1) into 1
2.599 * [backup-simplify]: Simplify (/ 1 1) into 1
2.599 * [backup-simplify]: Simplify (* 1/16 1) into 1/16
2.599 * [backup-simplify]: Simplify 1/16 into 1/16
2.600 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.600 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.600 * [backup-simplify]: Simplify 0 into 0
2.601 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.602 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
2.602 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
2.603 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.603 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0
2.604 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
2.605 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
2.605 * [backup-simplify]: Simplify (- 0) into 0
2.605 * [backup-simplify]: Simplify (+ 0 0) into 0
2.606 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0
2.606 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2))))) into 0
2.607 * [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
2.608 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) into 0
2.608 * [taylor]: Taking taylor expansion of 0 in K
2.608 * [backup-simplify]: Simplify 0 into 0
2.608 * [taylor]: Taking taylor expansion of 0 in J
2.608 * [backup-simplify]: Simplify 0 into 0
2.608 * [taylor]: Taking taylor expansion of 0 in J
2.608 * [backup-simplify]: Simplify 0 into 0
2.608 * [taylor]: Taking taylor expansion of 0 in J
2.608 * [backup-simplify]: Simplify 0 into 0
2.608 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
2.609 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
2.610 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0
2.611 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/8) (+ (* -1/8 0) (* 0 1)))) into 0
2.611 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/4 0) (* 0 (pow J 2))))) into 0
2.612 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/4 (pow J 2)) (/ 0 (pow J 2))) (* 0 (/ (- (* 1/4 (pow J 2))) (pow J 2))) (* (* 1/16 (/ 1 (pow J 2))) (/ 0 (pow J 2))))) into 0
2.612 * [taylor]: Taking taylor expansion of 0 in J
2.612 * [backup-simplify]: Simplify 0 into 0
2.612 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.613 * [backup-simplify]: Simplify (+ (* 1/16 0) (* 0 1)) into 0
2.613 * [backup-simplify]: Simplify 0 into 0
2.613 * [backup-simplify]: Simplify 0 into 0
2.613 * [backup-simplify]: Simplify 0 into 0
2.614 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.614 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.614 * [backup-simplify]: Simplify 0 into 0
2.615 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.616 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 J))))) into 0
2.617 * [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
2.618 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.619 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0
2.620 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
2.620 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
2.620 * [backup-simplify]: Simplify (- 0) into 0
2.621 * [backup-simplify]: Simplify (+ 0 0) into 0
2.621 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))))) into 0
2.622 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2)))))) into 0
2.623 * [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
2.624 * [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
2.624 * [taylor]: Taking taylor expansion of 0 in K
2.624 * [backup-simplify]: Simplify 0 into 0
2.624 * [taylor]: Taking taylor expansion of 0 in J
2.624 * [backup-simplify]: Simplify 0 into 0
2.624 * [taylor]: Taking taylor expansion of 0 in J
2.624 * [backup-simplify]: Simplify 0 into 0
2.624 * [taylor]: Taking taylor expansion of 0 in J
2.624 * [backup-simplify]: Simplify 0 into 0
2.624 * [taylor]: Taking taylor expansion of 0 in J
2.624 * [backup-simplify]: Simplify 0 into 0
2.625 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 J))))) into 0
2.625 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
2.627 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384
2.628 * [backup-simplify]: Simplify (+ (* 1 1/384) (+ (* 0 0) (+ (* -1/8 -1/8) (+ (* 0 0) (* 1/384 1))))) into 1/48
2.629 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/4 0) (+ (* 0 0) (* 1/48 (pow J 2)))))) into (* 1/48 (pow J 2))
2.630 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/4 (pow J 2)) (/ (* 1/48 (pow J 2)) (pow J 2))) (* 0 (/ 0 (pow J 2))) (* (* 1/16 (/ 1 (pow J 2))) (/ (- (* 1/4 (pow J 2))) (pow J 2))) (* 0 (/ 0 (pow J 2))))) into (* 1/96 (/ 1 (pow J 2)))
2.630 * [taylor]: Taking taylor expansion of (* 1/96 (/ 1 (pow J 2))) in J
2.630 * [taylor]: Taking taylor expansion of 1/96 in J
2.630 * [backup-simplify]: Simplify 1/96 into 1/96
2.630 * [taylor]: Taking taylor expansion of (/ 1 (pow J 2)) in J
2.630 * [taylor]: Taking taylor expansion of (pow J 2) in J
2.630 * [taylor]: Taking taylor expansion of J in J
2.630 * [backup-simplify]: Simplify 0 into 0
2.630 * [backup-simplify]: Simplify 1 into 1
2.630 * [backup-simplify]: Simplify (* 1 1) into 1
2.630 * [backup-simplify]: Simplify (/ 1 1) into 1
2.630 * [backup-simplify]: Simplify (* 1/96 1) into 1/96
2.631 * [backup-simplify]: Simplify 1/96 into 1/96
2.631 * [backup-simplify]: Simplify (+ (* 1/96 (pow (* (/ 1 J) (* (pow K 2) U)) 2)) (+ (* 1/16 (pow (* (/ 1 J) (* K U)) 2)) (* 1/4 (pow (* (/ 1 J) (* 1 U)) 2)))) into (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (* (pow K 4) (pow U 2)) (pow J 2)))))
2.631 * [backup-simplify]: Simplify (* (/ (/ 1 U) (* (cos (/ (/ 1 K) 2)) (* 2 (/ 1 J)))) (/ (/ 1 U) (* (cos (/ (/ 1 K) 2)) (* 2 (/ 1 J))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))
2.631 * [approximate]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in (U K J) around 0
2.631 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
2.631 * [taylor]: Taking taylor expansion of 1/4 in J
2.631 * [backup-simplify]: Simplify 1/4 into 1/4
2.631 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
2.631 * [taylor]: Taking taylor expansion of (pow J 2) in J
2.631 * [taylor]: Taking taylor expansion of J in J
2.632 * [backup-simplify]: Simplify 0 into 0
2.632 * [backup-simplify]: Simplify 1 into 1
2.632 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
2.632 * [taylor]: Taking taylor expansion of (pow U 2) in J
2.632 * [taylor]: Taking taylor expansion of U in J
2.632 * [backup-simplify]: Simplify U into U
2.632 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
2.632 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
2.632 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
2.632 * [taylor]: Taking taylor expansion of 1/2 in J
2.632 * [backup-simplify]: Simplify 1/2 into 1/2
2.632 * [taylor]: Taking taylor expansion of K in J
2.632 * [backup-simplify]: Simplify K into K
2.632 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
2.632 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.632 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
2.632 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.632 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
2.632 * [backup-simplify]: Simplify (- 0) into 0
2.632 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
2.633 * [backup-simplify]: Simplify (* 1 1) into 1
2.633 * [backup-simplify]: Simplify (* U U) into (pow U 2)
2.633 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
2.633 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
2.633 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
2.633 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
2.633 * [taylor]: Taking taylor expansion of 1/4 in K
2.633 * [backup-simplify]: Simplify 1/4 into 1/4
2.633 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
2.633 * [taylor]: Taking taylor expansion of (pow J 2) in K
2.633 * [taylor]: Taking taylor expansion of J in K
2.633 * [backup-simplify]: Simplify J into J
2.633 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
2.633 * [taylor]: Taking taylor expansion of (pow U 2) in K
2.633 * [taylor]: Taking taylor expansion of U in K
2.633 * [backup-simplify]: Simplify U into U
2.633 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
2.633 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
2.633 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
2.633 * [taylor]: Taking taylor expansion of 1/2 in K
2.633 * [backup-simplify]: Simplify 1/2 into 1/2
2.633 * [taylor]: Taking taylor expansion of K in K
2.633 * [backup-simplify]: Simplify 0 into 0
2.633 * [backup-simplify]: Simplify 1 into 1
2.634 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.634 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.634 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.634 * [backup-simplify]: Simplify (* U U) into (pow U 2)
2.634 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
2.634 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
2.634 * [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)))
2.634 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
2.634 * [taylor]: Taking taylor expansion of 1/4 in U
2.634 * [backup-simplify]: Simplify 1/4 into 1/4
2.634 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
2.634 * [taylor]: Taking taylor expansion of (pow J 2) in U
2.634 * [taylor]: Taking taylor expansion of J in U
2.634 * [backup-simplify]: Simplify J into J
2.634 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
2.634 * [taylor]: Taking taylor expansion of (pow U 2) in U
2.634 * [taylor]: Taking taylor expansion of U in U
2.634 * [backup-simplify]: Simplify 0 into 0
2.634 * [backup-simplify]: Simplify 1 into 1
2.634 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
2.634 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
2.634 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
2.634 * [taylor]: Taking taylor expansion of 1/2 in U
2.634 * [backup-simplify]: Simplify 1/2 into 1/2
2.634 * [taylor]: Taking taylor expansion of K in U
2.634 * [backup-simplify]: Simplify K into K
2.634 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
2.634 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.635 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
2.635 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.635 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
2.635 * [backup-simplify]: Simplify (- 0) into 0
2.635 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
2.635 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.635 * [backup-simplify]: Simplify (* 1 1) into 1
2.636 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
2.636 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
2.636 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
2.636 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
2.636 * [taylor]: Taking taylor expansion of 1/4 in U
2.636 * [backup-simplify]: Simplify 1/4 into 1/4
2.636 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
2.636 * [taylor]: Taking taylor expansion of (pow J 2) in U
2.636 * [taylor]: Taking taylor expansion of J in U
2.636 * [backup-simplify]: Simplify J into J
2.636 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
2.636 * [taylor]: Taking taylor expansion of (pow U 2) in U
2.636 * [taylor]: Taking taylor expansion of U in U
2.636 * [backup-simplify]: Simplify 0 into 0
2.636 * [backup-simplify]: Simplify 1 into 1
2.636 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
2.636 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
2.636 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
2.636 * [taylor]: Taking taylor expansion of 1/2 in U
2.636 * [backup-simplify]: Simplify 1/2 into 1/2
2.636 * [taylor]: Taking taylor expansion of K in U
2.636 * [backup-simplify]: Simplify K into K
2.636 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
2.636 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.636 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
2.636 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.636 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
2.637 * [backup-simplify]: Simplify (- 0) into 0
2.637 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
2.637 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.637 * [backup-simplify]: Simplify (* 1 1) into 1
2.637 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
2.637 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
2.637 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
2.637 * [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)))
2.637 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in K
2.637 * [taylor]: Taking taylor expansion of 1/4 in K
2.637 * [backup-simplify]: Simplify 1/4 into 1/4
2.637 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in K
2.637 * [taylor]: Taking taylor expansion of (pow J 2) in K
2.638 * [taylor]: Taking taylor expansion of J in K
2.638 * [backup-simplify]: Simplify J into J
2.638 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
2.638 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
2.638 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
2.638 * [taylor]: Taking taylor expansion of 1/2 in K
2.638 * [backup-simplify]: Simplify 1/2 into 1/2
2.638 * [taylor]: Taking taylor expansion of K in K
2.638 * [backup-simplify]: Simplify 0 into 0
2.638 * [backup-simplify]: Simplify 1 into 1
2.638 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.638 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.638 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.638 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
2.638 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
2.638 * [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)))
2.638 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J
2.638 * [taylor]: Taking taylor expansion of 1/4 in J
2.638 * [backup-simplify]: Simplify 1/4 into 1/4
2.638 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J
2.638 * [taylor]: Taking taylor expansion of (pow J 2) in J
2.638 * [taylor]: Taking taylor expansion of J in J
2.638 * [backup-simplify]: Simplify 0 into 0
2.638 * [backup-simplify]: Simplify 1 into 1
2.638 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
2.638 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
2.639 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
2.639 * [taylor]: Taking taylor expansion of 1/2 in J
2.639 * [backup-simplify]: Simplify 1/2 into 1/2
2.639 * [taylor]: Taking taylor expansion of K in J
2.639 * [backup-simplify]: Simplify K into K
2.639 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
2.639 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.639 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
2.639 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.639 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
2.639 * [backup-simplify]: Simplify (- 0) into 0
2.639 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
2.639 * [backup-simplify]: Simplify (* 1 1) into 1
2.639 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
2.640 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2))
2.640 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2))
2.640 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2))
2.640 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
2.640 * [backup-simplify]: Simplify (+ 0) into 0
2.640 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
2.641 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
2.641 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.641 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
2.642 * [backup-simplify]: Simplify (- 0) into 0
2.642 * [backup-simplify]: Simplify (+ 0 0) into 0
2.642 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
2.642 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.643 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
2.643 * [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
2.643 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
2.643 * [taylor]: Taking taylor expansion of 0 in K
2.643 * [backup-simplify]: Simplify 0 into 0
2.643 * [taylor]: Taking taylor expansion of 0 in J
2.643 * [backup-simplify]: Simplify 0 into 0
2.643 * [backup-simplify]: Simplify 0 into 0
2.643 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
2.643 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
2.644 * [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
2.644 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
2.644 * [taylor]: Taking taylor expansion of 0 in J
2.644 * [backup-simplify]: Simplify 0 into 0
2.644 * [backup-simplify]: Simplify 0 into 0
2.645 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.645 * [backup-simplify]: Simplify (+ 0) into 0
2.645 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
2.645 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
2.646 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.646 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
2.646 * [backup-simplify]: Simplify (- 0) into 0
2.647 * [backup-simplify]: Simplify (+ 0 0) into 0
2.647 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
2.647 * [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
2.647 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0
2.647 * [backup-simplify]: Simplify 0 into 0
2.648 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
2.648 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.649 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
2.649 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
2.649 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.650 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
2.650 * [backup-simplify]: Simplify (- 0) into 0
2.650 * [backup-simplify]: Simplify (+ 0 0) into 0
2.650 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
2.651 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.652 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
2.652 * [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
2.652 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0
2.652 * [taylor]: Taking taylor expansion of 0 in K
2.652 * [backup-simplify]: Simplify 0 into 0
2.652 * [taylor]: Taking taylor expansion of 0 in J
2.652 * [backup-simplify]: Simplify 0 into 0
2.653 * [backup-simplify]: Simplify 0 into 0
2.653 * [taylor]: Taking taylor expansion of 0 in J
2.653 * [backup-simplify]: Simplify 0 into 0
2.653 * [backup-simplify]: Simplify 0 into 0
2.653 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
2.653 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
2.653 * [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
2.654 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0
2.654 * [taylor]: Taking taylor expansion of 0 in J
2.654 * [backup-simplify]: Simplify 0 into 0
2.654 * [backup-simplify]: Simplify 0 into 0
2.654 * [backup-simplify]: Simplify (* (/ 1/4 (pow (cos (/ 1/2 (/ 1 K))) 2)) (pow (* (/ 1 J) (* 1 (/ 1 (/ 1 U)))) 2)) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
2.655 * [backup-simplify]: Simplify (* (/ (/ 1 (- U)) (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J))))) (/ (/ 1 (- U)) (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J)))))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
2.655 * [approximate]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in (U K J) around 0
2.655 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
2.655 * [taylor]: Taking taylor expansion of 1/4 in J
2.655 * [backup-simplify]: Simplify 1/4 into 1/4
2.655 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
2.655 * [taylor]: Taking taylor expansion of (pow J 2) in J
2.655 * [taylor]: Taking taylor expansion of J in J
2.655 * [backup-simplify]: Simplify 0 into 0
2.655 * [backup-simplify]: Simplify 1 into 1
2.655 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
2.655 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
2.655 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
2.655 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
2.655 * [taylor]: Taking taylor expansion of -1/2 in J
2.655 * [backup-simplify]: Simplify -1/2 into -1/2
2.655 * [taylor]: Taking taylor expansion of K in J
2.655 * [backup-simplify]: Simplify K into K
2.655 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
2.655 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.655 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
2.655 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.655 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
2.655 * [backup-simplify]: Simplify (- 0) into 0
2.656 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
2.656 * [taylor]: Taking taylor expansion of (pow U 2) in J
2.656 * [taylor]: Taking taylor expansion of U in J
2.656 * [backup-simplify]: Simplify U into U
2.656 * [backup-simplify]: Simplify (* 1 1) into 1
2.656 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
2.656 * [backup-simplify]: Simplify (* U U) into (pow U 2)
2.656 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
2.656 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
2.656 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
2.656 * [taylor]: Taking taylor expansion of 1/4 in K
2.656 * [backup-simplify]: Simplify 1/4 into 1/4
2.656 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
2.656 * [taylor]: Taking taylor expansion of (pow J 2) in K
2.656 * [taylor]: Taking taylor expansion of J in K
2.656 * [backup-simplify]: Simplify J into J
2.656 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
2.656 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
2.656 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
2.656 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
2.656 * [taylor]: Taking taylor expansion of -1/2 in K
2.656 * [backup-simplify]: Simplify -1/2 into -1/2
2.656 * [taylor]: Taking taylor expansion of K in K
2.656 * [backup-simplify]: Simplify 0 into 0
2.656 * [backup-simplify]: Simplify 1 into 1
2.657 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
2.657 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.657 * [taylor]: Taking taylor expansion of (pow U 2) in K
2.657 * [taylor]: Taking taylor expansion of U in K
2.657 * [backup-simplify]: Simplify U into U
2.657 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.657 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
2.657 * [backup-simplify]: Simplify (* U U) into (pow U 2)
2.657 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
2.657 * [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)))
2.657 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
2.657 * [taylor]: Taking taylor expansion of 1/4 in U
2.657 * [backup-simplify]: Simplify 1/4 into 1/4
2.657 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
2.657 * [taylor]: Taking taylor expansion of (pow J 2) in U
2.657 * [taylor]: Taking taylor expansion of J in U
2.657 * [backup-simplify]: Simplify J into J
2.658 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
2.658 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
2.658 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
2.658 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
2.658 * [taylor]: Taking taylor expansion of -1/2 in U
2.658 * [backup-simplify]: Simplify -1/2 into -1/2
2.658 * [taylor]: Taking taylor expansion of K in U
2.658 * [backup-simplify]: Simplify K into K
2.658 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
2.658 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.658 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
2.658 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.658 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
2.658 * [backup-simplify]: Simplify (- 0) into 0
2.658 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
2.658 * [taylor]: Taking taylor expansion of (pow U 2) in U
2.658 * [taylor]: Taking taylor expansion of U in U
2.658 * [backup-simplify]: Simplify 0 into 0
2.658 * [backup-simplify]: Simplify 1 into 1
2.658 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.658 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
2.659 * [backup-simplify]: Simplify (* 1 1) into 1
2.659 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
2.659 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
2.659 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
2.659 * [taylor]: Taking taylor expansion of 1/4 in U
2.659 * [backup-simplify]: Simplify 1/4 into 1/4
2.659 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
2.659 * [taylor]: Taking taylor expansion of (pow J 2) in U
2.659 * [taylor]: Taking taylor expansion of J in U
2.659 * [backup-simplify]: Simplify J into J
2.659 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
2.659 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
2.659 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
2.659 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
2.659 * [taylor]: Taking taylor expansion of -1/2 in U
2.659 * [backup-simplify]: Simplify -1/2 into -1/2
2.659 * [taylor]: Taking taylor expansion of K in U
2.659 * [backup-simplify]: Simplify K into K
2.659 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
2.659 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.659 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
2.659 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.659 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
2.660 * [backup-simplify]: Simplify (- 0) into 0
2.660 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
2.660 * [taylor]: Taking taylor expansion of (pow U 2) in U
2.660 * [taylor]: Taking taylor expansion of U in U
2.660 * [backup-simplify]: Simplify 0 into 0
2.660 * [backup-simplify]: Simplify 1 into 1
2.660 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.660 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
2.660 * [backup-simplify]: Simplify (* 1 1) into 1
2.660 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
2.660 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
2.660 * [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)))
2.660 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in K
2.660 * [taylor]: Taking taylor expansion of 1/4 in K
2.661 * [backup-simplify]: Simplify 1/4 into 1/4
2.661 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in K
2.661 * [taylor]: Taking taylor expansion of (pow J 2) in K
2.661 * [taylor]: Taking taylor expansion of J in K
2.661 * [backup-simplify]: Simplify J into J
2.661 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
2.661 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
2.661 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
2.661 * [taylor]: Taking taylor expansion of -1/2 in K
2.661 * [backup-simplify]: Simplify -1/2 into -1/2
2.661 * [taylor]: Taking taylor expansion of K in K
2.661 * [backup-simplify]: Simplify 0 into 0
2.661 * [backup-simplify]: Simplify 1 into 1
2.661 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
2.661 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.661 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.661 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
2.661 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
2.661 * [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)))
2.661 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J
2.661 * [taylor]: Taking taylor expansion of 1/4 in J
2.661 * [backup-simplify]: Simplify 1/4 into 1/4
2.661 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J
2.661 * [taylor]: Taking taylor expansion of (pow J 2) in J
2.661 * [taylor]: Taking taylor expansion of J in J
2.661 * [backup-simplify]: Simplify 0 into 0
2.661 * [backup-simplify]: Simplify 1 into 1
2.662 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
2.662 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
2.662 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
2.662 * [taylor]: Taking taylor expansion of -1/2 in J
2.662 * [backup-simplify]: Simplify -1/2 into -1/2
2.662 * [taylor]: Taking taylor expansion of K in J
2.662 * [backup-simplify]: Simplify K into K
2.662 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
2.662 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.662 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
2.662 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.662 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
2.662 * [backup-simplify]: Simplify (- 0) into 0
2.662 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
2.662 * [backup-simplify]: Simplify (* 1 1) into 1
2.662 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
2.663 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2))
2.663 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2))
2.663 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2))
2.663 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
2.663 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.663 * [backup-simplify]: Simplify (+ 0) into 0
2.664 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
2.664 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
2.664 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.665 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
2.665 * [backup-simplify]: Simplify (- 0) into 0
2.665 * [backup-simplify]: Simplify (+ 0 0) into 0
2.665 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
2.666 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
2.666 * [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
2.666 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
2.666 * [taylor]: Taking taylor expansion of 0 in K
2.666 * [backup-simplify]: Simplify 0 into 0
2.666 * [taylor]: Taking taylor expansion of 0 in J
2.666 * [backup-simplify]: Simplify 0 into 0
2.666 * [backup-simplify]: Simplify 0 into 0
2.666 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
2.666 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
2.667 * [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
2.667 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
2.667 * [taylor]: Taking taylor expansion of 0 in J
2.667 * [backup-simplify]: Simplify 0 into 0
2.667 * [backup-simplify]: Simplify 0 into 0
2.668 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.668 * [backup-simplify]: Simplify (+ 0) into 0
2.668 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
2.668 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
2.669 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.669 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
2.669 * [backup-simplify]: Simplify (- 0) into 0
2.670 * [backup-simplify]: Simplify (+ 0 0) into 0
2.670 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
2.670 * [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
2.670 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0
2.670 * [backup-simplify]: Simplify 0 into 0
2.671 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
2.671 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.672 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.672 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
2.672 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
2.673 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.673 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
2.673 * [backup-simplify]: Simplify (- 0) into 0
2.673 * [backup-simplify]: Simplify (+ 0 0) into 0
2.674 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
2.676 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
2.676 * [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
2.677 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0
2.677 * [taylor]: Taking taylor expansion of 0 in K
2.677 * [backup-simplify]: Simplify 0 into 0
2.677 * [taylor]: Taking taylor expansion of 0 in J
2.677 * [backup-simplify]: Simplify 0 into 0
2.677 * [backup-simplify]: Simplify 0 into 0
2.677 * [taylor]: Taking taylor expansion of 0 in J
2.677 * [backup-simplify]: Simplify 0 into 0
2.677 * [backup-simplify]: Simplify 0 into 0
2.677 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
2.678 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
2.678 * [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
2.678 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0
2.678 * [taylor]: Taking taylor expansion of 0 in J
2.678 * [backup-simplify]: Simplify 0 into 0
2.678 * [backup-simplify]: Simplify 0 into 0
2.679 * [backup-simplify]: Simplify (* (/ 1/4 (pow (cos (/ -1/2 (/ 1 (- K)))) 2)) (pow (* (/ 1 (- J)) (* 1 (/ 1 (/ 1 (- U))))) 2)) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
2.679 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 2 2)
2.679 * [backup-simplify]: Simplify (* (cos (/ K 2)) (* 2 J)) into (* 2 (* (cos (* 1/2 K)) J))
2.679 * [approximate]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in (K J) around 0
2.679 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in J
2.679 * [taylor]: Taking taylor expansion of 2 in J
2.679 * [backup-simplify]: Simplify 2 into 2
2.679 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J
2.679 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
2.679 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
2.679 * [taylor]: Taking taylor expansion of 1/2 in J
2.679 * [backup-simplify]: Simplify 1/2 into 1/2
2.679 * [taylor]: Taking taylor expansion of K in J
2.679 * [backup-simplify]: Simplify K into K
2.679 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
2.679 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
2.679 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
2.679 * [taylor]: Taking taylor expansion of J in J
2.679 * [backup-simplify]: Simplify 0 into 0
2.679 * [backup-simplify]: Simplify 1 into 1
2.679 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in K
2.679 * [taylor]: Taking taylor expansion of 2 in K
2.679 * [backup-simplify]: Simplify 2 into 2
2.679 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K
2.679 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
2.679 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
2.679 * [taylor]: Taking taylor expansion of 1/2 in K
2.679 * [backup-simplify]: Simplify 1/2 into 1/2
2.679 * [taylor]: Taking taylor expansion of K in K
2.679 * [backup-simplify]: Simplify 0 into 0
2.679 * [backup-simplify]: Simplify 1 into 1
2.680 * [backup-simplify]: Simplify (* 1/2 0) into 0
2.680 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
2.680 * [taylor]: Taking taylor expansion of J in K
2.680 * [backup-simplify]: Simplify J into J
2.680 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in K
2.680 * [taylor]: Taking taylor expansion of 2 in K
2.680 * [backup-simplify]: Simplify 2 into 2
2.680 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K
2.680 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
2.680 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
2.680 * [taylor]: Taking taylor expansion of 1/2 in K
2.680 * [backup-simplify]: Simplify 1/2 into 1/2
2.680 * [taylor]: Taking taylor expansion of K in K
2.680 * [backup-simplify]: Simplify 0 into 0
2.680 * [backup-simplify]: Simplify 1 into 1
2.681 * [backup-simplify]: Simplify (* 1/2 0) into 0
2.681 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
2.681 * [taylor]: Taking taylor expansion of J in K
2.681 * [backup-simplify]: Simplify J into J
2.681 * [backup-simplify]: Simplify (* 1 J) into J
2.681 * [backup-simplify]: Simplify (* 2 J) into (* 2 J)
2.681 * [taylor]: Taking taylor expansion of (* 2 J) in J
2.681 * [taylor]: Taking taylor expansion of 2 in J
2.681 * [backup-simplify]: Simplify 2 into 2
2.681 * [taylor]: Taking taylor expansion of J in J
2.681 * [backup-simplify]: Simplify 0 into 0
2.681 * [backup-simplify]: Simplify 1 into 1
2.682 * [backup-simplify]: Simplify (* 2 0) into 0
2.682 * [backup-simplify]: Simplify 0 into 0
2.682 * [backup-simplify]: Simplify (+ 0) into 0
2.682 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0
2.682 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 J)) into 0
2.682 * [taylor]: Taking taylor expansion of 0 in J
2.682 * [backup-simplify]: Simplify 0 into 0
2.683 * [backup-simplify]: Simplify 0 into 0
2.683 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
2.683 * [backup-simplify]: Simplify 2 into 2
2.684 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8
2.684 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/8 J))) into (- (* 1/8 J))
2.684 * [backup-simplify]: Simplify (+ (* 2 (- (* 1/8 J))) (+ (* 0 0) (* 0 J))) into (- (* 1/4 J))
2.684 * [taylor]: Taking taylor expansion of (- (* 1/4 J)) in J
2.684 * [taylor]: Taking taylor expansion of (* 1/4 J) in J
2.684 * [taylor]: Taking taylor expansion of 1/4 in J
2.684 * [backup-simplify]: Simplify 1/4 into 1/4
2.684 * [taylor]: Taking taylor expansion of J in J
2.685 * [backup-simplify]: Simplify 0 into 0
2.685 * [backup-simplify]: Simplify 1 into 1
2.685 * [backup-simplify]: Simplify (* 1/4 0) into 0
2.685 * [backup-simplify]: Simplify (- 0) into 0
2.685 * [backup-simplify]: Simplify 0 into 0
2.685 * [backup-simplify]: Simplify 0 into 0
2.686 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
2.686 * [backup-simplify]: Simplify 0 into 0
2.686 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
2.687 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0
2.688 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (* 0 J)))) into 0
2.689 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (- (* 1/8 J))) (+ (* 0 0) (* 0 J)))) into 0
2.689 * [taylor]: Taking taylor expansion of 0 in J
2.689 * [backup-simplify]: Simplify 0 into 0
2.689 * [backup-simplify]: Simplify 0 into 0
2.689 * [backup-simplify]: Simplify (+ (* 1/4 1) (* 0 0)) into 1/4
2.689 * [backup-simplify]: Simplify (- 1/4) into -1/4
2.690 * [backup-simplify]: Simplify -1/4 into -1/4
2.690 * [backup-simplify]: Simplify 0 into 0
2.690 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
2.690 * [backup-simplify]: Simplify 0 into 0
2.691 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
2.694 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384
2.696 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (+ (* 0 0) (* 1/384 J))))) into (* 1/384 J)
2.697 * [backup-simplify]: Simplify (+ (* 2 (* 1/384 J)) (+ (* 0 0) (+ (* 0 (- (* 1/8 J))) (+ (* 0 0) (* 0 J))))) into (* 1/192 J)
2.697 * [taylor]: Taking taylor expansion of (* 1/192 J) in J
2.697 * [taylor]: Taking taylor expansion of 1/192 in J
2.697 * [backup-simplify]: Simplify 1/192 into 1/192
2.697 * [taylor]: Taking taylor expansion of J in J
2.697 * [backup-simplify]: Simplify 0 into 0
2.697 * [backup-simplify]: Simplify 1 into 1
2.697 * [backup-simplify]: Simplify (* 1/192 0) into 0
2.697 * [backup-simplify]: Simplify 0 into 0
2.697 * [backup-simplify]: Simplify 0 into 0
2.699 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 1) (* 0 0))) into 0
2.699 * [backup-simplify]: Simplify (- 0) into 0
2.699 * [backup-simplify]: Simplify 0 into 0
2.699 * [backup-simplify]: Simplify 0 into 0
2.699 * [backup-simplify]: Simplify (+ (* -1/4 (* J (pow K 2))) (* 2 (* J 1))) into (- (* 2 J) (* 1/4 (* (pow K 2) J)))
2.699 * [backup-simplify]: Simplify (* (cos (/ (/ 1 K) 2)) (* 2 (/ 1 J))) into (* 2 (/ (cos (/ 1/2 K)) J))
2.700 * [approximate]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in (K J) around 0
2.700 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in J
2.700 * [taylor]: Taking taylor expansion of 2 in J
2.700 * [backup-simplify]: Simplify 2 into 2
2.700 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
2.700 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
2.700 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
2.700 * [taylor]: Taking taylor expansion of 1/2 in J
2.700 * [backup-simplify]: Simplify 1/2 into 1/2
2.700 * [taylor]: Taking taylor expansion of K in J
2.700 * [backup-simplify]: Simplify K into K
2.700 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
2.700 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.700 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
2.700 * [taylor]: Taking taylor expansion of J in J
2.700 * [backup-simplify]: Simplify 0 into 0
2.700 * [backup-simplify]: Simplify 1 into 1
2.700 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.700 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
2.701 * [backup-simplify]: Simplify (- 0) into 0
2.701 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
2.701 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.701 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in K
2.701 * [taylor]: Taking taylor expansion of 2 in K
2.701 * [backup-simplify]: Simplify 2 into 2
2.701 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K
2.701 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
2.701 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
2.701 * [taylor]: Taking taylor expansion of 1/2 in K
2.701 * [backup-simplify]: Simplify 1/2 into 1/2
2.701 * [taylor]: Taking taylor expansion of K in K
2.701 * [backup-simplify]: Simplify 0 into 0
2.701 * [backup-simplify]: Simplify 1 into 1
2.702 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.702 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.702 * [taylor]: Taking taylor expansion of J in K
2.702 * [backup-simplify]: Simplify J into J
2.702 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
2.702 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in K
2.702 * [taylor]: Taking taylor expansion of 2 in K
2.702 * [backup-simplify]: Simplify 2 into 2
2.702 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K
2.702 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
2.702 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
2.702 * [taylor]: Taking taylor expansion of 1/2 in K
2.702 * [backup-simplify]: Simplify 1/2 into 1/2
2.702 * [taylor]: Taking taylor expansion of K in K
2.702 * [backup-simplify]: Simplify 0 into 0
2.702 * [backup-simplify]: Simplify 1 into 1
2.703 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.703 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.703 * [taylor]: Taking taylor expansion of J in K
2.703 * [backup-simplify]: Simplify J into J
2.703 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
2.703 * [backup-simplify]: Simplify (* 2 (/ (cos (/ 1/2 K)) J)) into (* 2 (/ (cos (/ 1/2 K)) J))
2.703 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in J
2.703 * [taylor]: Taking taylor expansion of 2 in J
2.703 * [backup-simplify]: Simplify 2 into 2
2.703 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
2.703 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
2.703 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
2.703 * [taylor]: Taking taylor expansion of 1/2 in J
2.703 * [backup-simplify]: Simplify 1/2 into 1/2
2.703 * [taylor]: Taking taylor expansion of K in J
2.703 * [backup-simplify]: Simplify K into K
2.703 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
2.703 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.704 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
2.704 * [taylor]: Taking taylor expansion of J in J
2.704 * [backup-simplify]: Simplify 0 into 0
2.704 * [backup-simplify]: Simplify 1 into 1
2.704 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.704 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
2.704 * [backup-simplify]: Simplify (- 0) into 0
2.704 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
2.704 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.704 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K)))
2.705 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K)))
2.705 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0
2.705 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (cos (/ 1/2 K)) J))) into 0
2.705 * [taylor]: Taking taylor expansion of 0 in J
2.705 * [backup-simplify]: Simplify 0 into 0
2.706 * [backup-simplify]: Simplify (+ 0) into 0
2.706 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
2.706 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
2.707 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.708 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
2.708 * [backup-simplify]: Simplify (- 0) into 0
2.709 * [backup-simplify]: Simplify (+ 0 0) into 0
2.710 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0
2.710 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0
2.710 * [backup-simplify]: Simplify 0 into 0
2.711 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0
2.712 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ (cos (/ 1/2 K)) J)))) into 0
2.712 * [taylor]: Taking taylor expansion of 0 in J
2.712 * [backup-simplify]: Simplify 0 into 0
2.712 * [backup-simplify]: Simplify 0 into 0
2.713 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.713 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
2.714 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
2.714 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.715 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
2.715 * [backup-simplify]: Simplify (- 0) into 0
2.716 * [backup-simplify]: Simplify (+ 0 0) into 0
2.717 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.718 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
2.718 * [backup-simplify]: Simplify 0 into 0
2.718 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0
2.720 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ 1/2 K)) J))))) into 0
2.720 * [taylor]: Taking taylor expansion of 0 in J
2.720 * [backup-simplify]: Simplify 0 into 0
2.720 * [backup-simplify]: Simplify 0 into 0
2.720 * [backup-simplify]: Simplify 0 into 0
2.721 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
2.722 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.722 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
2.723 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
2.724 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
2.725 * [backup-simplify]: Simplify (- 0) into 0
2.725 * [backup-simplify]: Simplify (+ 0 0) into 0
2.727 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.728 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
2.728 * [backup-simplify]: Simplify 0 into 0
2.728 * [backup-simplify]: Simplify (* (* 2 (cos (/ 1/2 (/ 1 K)))) (* (/ 1 (/ 1 J)) 1)) into (* 2 (* (cos (* 1/2 K)) J))
2.728 * [backup-simplify]: Simplify (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J)))) into (* -2 (/ (cos (/ -1/2 K)) J))
2.728 * [approximate]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in (K J) around 0
2.728 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in J
2.728 * [taylor]: Taking taylor expansion of -2 in J
2.729 * [backup-simplify]: Simplify -2 into -2
2.729 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
2.729 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
2.729 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
2.729 * [taylor]: Taking taylor expansion of -1/2 in J
2.729 * [backup-simplify]: Simplify -1/2 into -1/2
2.729 * [taylor]: Taking taylor expansion of K in J
2.729 * [backup-simplify]: Simplify K into K
2.729 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
2.729 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.729 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
2.729 * [taylor]: Taking taylor expansion of J in J
2.729 * [backup-simplify]: Simplify 0 into 0
2.729 * [backup-simplify]: Simplify 1 into 1
2.729 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.729 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
2.730 * [backup-simplify]: Simplify (- 0) into 0
2.730 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
2.730 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.730 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in K
2.730 * [taylor]: Taking taylor expansion of -2 in K
2.730 * [backup-simplify]: Simplify -2 into -2
2.730 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K
2.730 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
2.730 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
2.730 * [taylor]: Taking taylor expansion of -1/2 in K
2.730 * [backup-simplify]: Simplify -1/2 into -1/2
2.730 * [taylor]: Taking taylor expansion of K in K
2.730 * [backup-simplify]: Simplify 0 into 0
2.730 * [backup-simplify]: Simplify 1 into 1
2.730 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
2.730 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.731 * [taylor]: Taking taylor expansion of J in K
2.731 * [backup-simplify]: Simplify J into J
2.731 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
2.731 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in K
2.731 * [taylor]: Taking taylor expansion of -2 in K
2.731 * [backup-simplify]: Simplify -2 into -2
2.731 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K
2.731 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
2.731 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
2.731 * [taylor]: Taking taylor expansion of -1/2 in K
2.731 * [backup-simplify]: Simplify -1/2 into -1/2
2.731 * [taylor]: Taking taylor expansion of K in K
2.731 * [backup-simplify]: Simplify 0 into 0
2.731 * [backup-simplify]: Simplify 1 into 1
2.731 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
2.732 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.732 * [taylor]: Taking taylor expansion of J in K
2.732 * [backup-simplify]: Simplify J into J
2.732 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
2.732 * [backup-simplify]: Simplify (* -2 (/ (cos (/ -1/2 K)) J)) into (* -2 (/ (cos (/ -1/2 K)) J))
2.732 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in J
2.732 * [taylor]: Taking taylor expansion of -2 in J
2.732 * [backup-simplify]: Simplify -2 into -2
2.732 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
2.732 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
2.732 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
2.732 * [taylor]: Taking taylor expansion of -1/2 in J
2.732 * [backup-simplify]: Simplify -1/2 into -1/2
2.732 * [taylor]: Taking taylor expansion of K in J
2.732 * [backup-simplify]: Simplify K into K
2.732 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
2.732 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.732 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
2.732 * [taylor]: Taking taylor expansion of J in J
2.732 * [backup-simplify]: Simplify 0 into 0
2.732 * [backup-simplify]: Simplify 1 into 1
2.732 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.733 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
2.733 * [backup-simplify]: Simplify (- 0) into 0
2.733 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
2.733 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.733 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K)))
2.733 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K)))
2.734 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0
2.734 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (/ (cos (/ -1/2 K)) J))) into 0
2.734 * [taylor]: Taking taylor expansion of 0 in J
2.734 * [backup-simplify]: Simplify 0 into 0
2.735 * [backup-simplify]: Simplify (+ 0) into 0
2.735 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
2.735 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
2.736 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.737 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
2.737 * [backup-simplify]: Simplify (- 0) into 0
2.737 * [backup-simplify]: Simplify (+ 0 0) into 0
2.738 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0
2.739 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0
2.739 * [backup-simplify]: Simplify 0 into 0
2.739 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0
2.740 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (/ (cos (/ -1/2 K)) J)))) into 0
2.740 * [taylor]: Taking taylor expansion of 0 in J
2.740 * [backup-simplify]: Simplify 0 into 0
2.740 * [backup-simplify]: Simplify 0 into 0
2.741 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.742 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
2.742 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
2.743 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.743 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
2.743 * [backup-simplify]: Simplify (- 0) into 0
2.744 * [backup-simplify]: Simplify (+ 0 0) into 0
2.745 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.746 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
2.746 * [backup-simplify]: Simplify 0 into 0
2.746 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0
2.748 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ -1/2 K)) J))))) into 0
2.748 * [taylor]: Taking taylor expansion of 0 in J
2.748 * [backup-simplify]: Simplify 0 into 0
2.748 * [backup-simplify]: Simplify 0 into 0
2.748 * [backup-simplify]: Simplify 0 into 0
2.749 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
2.749 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.750 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
2.751 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
2.752 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
2.752 * [backup-simplify]: Simplify (- 0) into 0
2.753 * [backup-simplify]: Simplify (+ 0 0) into 0
2.754 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.756 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
2.756 * [backup-simplify]: Simplify 0 into 0
2.756 * [backup-simplify]: Simplify (* (* -2 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (/ 1 (- J))) 1)) into (* 2 (* (cos (* 1/2 K)) J))
2.756 * * * [progress]: simplifying candidates
2.756 * * * * [progress]: [ 1 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (pow (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1) 1/2)))>
2.756 * * * * [progress]: [ 2 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (pow (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) 1)))>
2.756 * * * * [progress]: [ 3 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (exp (log (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))>
2.756 * * * * [progress]: [ 4 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (log (exp (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))>
2.756 * * * * [progress]: [ 5 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (* (* (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))))))>
2.756 * * * * [progress]: [ 6 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (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))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))>
2.756 * * * * [progress]: [ 7 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (* (sqrt (* (cbrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) (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))))))>
2.757 * * * * [progress]: [ 8 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 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))))))>
2.757 * * * * [progress]: [ 9 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (* (sqrt 1) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))))>
2.757 * * * * [progress]: [ 10 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (/ (sqrt (+ (pow (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 3) (pow 1 3))) (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 1) (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))))))>
2.757 * * * * [progress]: [ 11 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (/ (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 1))) (sqrt (- (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))))>
2.757 * * * * [progress]: [ 12 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (pow (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1) (/ 1 2))))>
2.757 * * * * [progress]: [ 13 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 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))))))>
2.757 * * * * [progress]: [ 14 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (fabs (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))))>
2.757 * * * * [progress]: [ 15 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (* 1 (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))))>
2.757 * * * * [progress]: [ 16 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (posit16->real (real->posit16 (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))>
2.757 * * * * [progress]: [ 17 / 145 ] simplifiying candidate #<alt (λ (J K U) (pow (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) 1))>
2.757 * * * * [progress]: [ 18 / 145 ] simplifiying candidate #<alt (λ (J K U) (pow (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) 1))>
2.757 * * * * [progress]: [ 19 / 145 ] simplifiying candidate #<alt (λ (J K U) (pow (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) 1))>
2.757 * * * * [progress]: [ 20 / 145 ] simplifiying candidate #<alt (λ (J K U) (pow (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) 1))>
2.757 * * * * [progress]: [ 21 / 145 ] simplifiying candidate #<alt (λ (J K U) (exp (+ (+ (log J) (+ (log -2) (log (cos (/ K 2))))) (log (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))>
2.758 * * * * [progress]: [ 22 / 145 ] simplifiying candidate #<alt (λ (J K U) (exp (+ (+ (log J) (log (* -2 (cos (/ K 2))))) (log (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))>
2.758 * * * * [progress]: [ 23 / 145 ] simplifiying candidate #<alt (λ (J K U) (exp (+ (log (* J (* -2 (cos (/ K 2))))) (log (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))>
2.758 * * * * [progress]: [ 24 / 145 ] simplifiying candidate #<alt (λ (J K U) (exp (log (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))>
2.758 * * * * [progress]: [ 25 / 145 ] simplifiying candidate #<alt (λ (J K U) (log (exp (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))>
2.758 * * * * [progress]: [ 26 / 145 ] simplifiying candidate #<alt (λ (J K U) (cbrt (* (* (* (* J J) J) (* (* (* -2 -2) -2) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (* (* (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))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))>
2.758 * * * * [progress]: [ 27 / 145 ] simplifiying candidate #<alt (λ (J K U) (cbrt (* (* (* (* J J) J) (* (* (* -2 (cos (/ K 2))) (* -2 (cos (/ K 2)))) (* -2 (cos (/ K 2))))) (* (* (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))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))>
2.758 * * * * [progress]: [ 28 / 145 ] simplifiying candidate #<alt (λ (J K U) (cbrt (* (* (* (* J (* -2 (cos (/ K 2)))) (* J (* -2 (cos (/ K 2))))) (* J (* -2 (cos (/ K 2))))) (* (* (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))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))>
2.758 * * * * [progress]: [ 29 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))>
2.758 * * * * [progress]: [ 30 / 145 ] simplifiying candidate #<alt (λ (J K U) (cbrt (* (* (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))>
2.758 * * * * [progress]: [ 31 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))>
2.758 * * * * [progress]: [ 32 / 145 ] simplifiying candidate #<alt (λ (J K U) (* 1 (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))))>
2.758 * * * * [progress]: [ 33 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* (* J (* -2 (cos (/ K 2)))) (* (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)))))>
2.758 * * * * [progress]: [ 34 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* (* J (* -2 (cos (/ K 2)))) (sqrt (* (cbrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) (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)))))>
2.759 * * * * [progress]: [ 35 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* (* J (* -2 (cos (/ K 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)))))>
2.759 * * * * [progress]: [ 36 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* (* J (* -2 (cos (/ K 2)))) (sqrt 1)) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))>
2.759 * * * * [progress]: [ 37 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* (* J (* -2 (cos (/ K 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)))))>
2.759 * * * * [progress]: [ 38 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* (* J (* -2 (cos (/ K 2)))) 1) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))>
2.759 * * * * [progress]: [ 39 / 145 ] simplifiying candidate #<alt (λ (J K U) (* J (* (* -2 (cos (/ K 2))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))))>
2.759 * * * * [progress]: [ 40 / 145 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (pow (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 3) (pow 1 3)))) (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 1) (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))>
2.759 * * * * [progress]: [ 41 / 145 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* J (* -2 (cos (/ K 2)))) (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 1)))) (sqrt (- (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))>
2.759 * * * * [progress]: [ 42 / 145 ] simplifiying candidate #<alt (λ (J K U) (posit16->real (real->posit16 (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))>
2.759 * * * * [progress]: [ 43 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) (* J (* -2 (cos (/ K 2))))))>
2.759 * * * * [progress]: [ 44 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (pow (/ U (* (cos (/ K 2)) (* 2 J))) (+ 1 1)) 1))))>
2.759 * * * * [progress]: [ 45 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (pow (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1) 1))))>
2.759 * * * * [progress]: [ 46 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (pow (/ U (* (cos (/ K 2)) (* 2 J))) 2) 1))))>
2.759 * * * * [progress]: [ 47 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (pow (/ U (* (cos (/ K 2)) (* 2 J))) (+ 1 1)) 1))))>
2.759 * * * * [progress]: [ 48 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (pow (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1) 1))))>
2.759 * * * * [progress]: [ 49 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (exp (+ (- (log U) (+ (log (cos (/ K 2))) (+ (log 2) (log J)))) (- (log U) (+ (log (cos (/ K 2))) (+ (log 2) (log J)))))) 1))))>
2.760 * * * * [progress]: [ 50 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (exp (+ (- (log U) (+ (log (cos (/ K 2))) (+ (log 2) (log J)))) (- (log U) (+ (log (cos (/ K 2))) (log (* 2 J)))))) 1))))>
2.760 * * * * [progress]: [ 51 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (exp (+ (- (log U) (+ (log (cos (/ K 2))) (+ (log 2) (log J)))) (- (log U) (log (* (cos (/ K 2)) (* 2 J)))))) 1))))>
2.760 * * * * [progress]: [ 52 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (exp (+ (- (log U) (+ (log (cos (/ K 2))) (+ (log 2) (log J)))) (log (/ U (* (cos (/ K 2)) (* 2 J)))))) 1))))>
2.760 * * * * [progress]: [ 53 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (exp (+ (- (log U) (+ (log (cos (/ K 2))) (log (* 2 J)))) (- (log U) (+ (log (cos (/ K 2))) (+ (log 2) (log J)))))) 1))))>
2.760 * * * * [progress]: [ 54 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (exp (+ (- (log U) (+ (log (cos (/ K 2))) (log (* 2 J)))) (- (log U) (+ (log (cos (/ K 2))) (log (* 2 J)))))) 1))))>
2.760 * * * * [progress]: [ 55 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (exp (+ (- (log U) (+ (log (cos (/ K 2))) (log (* 2 J)))) (- (log U) (log (* (cos (/ K 2)) (* 2 J)))))) 1))))>
2.760 * * * * [progress]: [ 56 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (exp (+ (- (log U) (+ (log (cos (/ K 2))) (log (* 2 J)))) (log (/ U (* (cos (/ K 2)) (* 2 J)))))) 1))))>
2.760 * * * * [progress]: [ 57 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (exp (+ (- (log U) (log (* (cos (/ K 2)) (* 2 J)))) (- (log U) (+ (log (cos (/ K 2))) (+ (log 2) (log J)))))) 1))))>
2.760 * * * * [progress]: [ 58 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (exp (+ (- (log U) (log (* (cos (/ K 2)) (* 2 J)))) (- (log U) (+ (log (cos (/ K 2))) (log (* 2 J)))))) 1))))>
2.760 * * * * [progress]: [ 59 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (exp (+ (- (log U) (log (* (cos (/ K 2)) (* 2 J)))) (- (log U) (log (* (cos (/ K 2)) (* 2 J)))))) 1))))>
2.760 * * * * [progress]: [ 60 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (exp (+ (- (log U) (log (* (cos (/ K 2)) (* 2 J)))) (log (/ U (* (cos (/ K 2)) (* 2 J)))))) 1))))>
2.760 * * * * [progress]: [ 61 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (exp (+ (log (/ U (* (cos (/ K 2)) (* 2 J)))) (- (log U) (+ (log (cos (/ K 2))) (+ (log 2) (log J)))))) 1))))>
2.760 * * * * [progress]: [ 62 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (exp (+ (log (/ U (* (cos (/ K 2)) (* 2 J)))) (- (log U) (+ (log (cos (/ K 2))) (log (* 2 J)))))) 1))))>
2.761 * * * * [progress]: [ 63 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (exp (+ (log (/ U (* (cos (/ K 2)) (* 2 J)))) (- (log U) (log (* (cos (/ K 2)) (* 2 J)))))) 1))))>
2.761 * * * * [progress]: [ 64 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (exp (+ (log (/ U (* (cos (/ K 2)) (* 2 J)))) (log (/ U (* (cos (/ K 2)) (* 2 J)))))) 1))))>
2.761 * * * * [progress]: [ 65 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (exp (log (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))) 1))))>
2.761 * * * * [progress]: [ 66 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (log (exp (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))) 1))))>
2.761 * * * * [progress]: [ 67 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (cbrt (* (/ (* (* U U) U) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* 2 2) 2) (* (* J J) J)))) (/ (* (* U U) U) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* 2 2) 2) (* (* J J) J)))))) 1))))>
2.761 * * * * [progress]: [ 68 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (cbrt (* (/ (* (* U U) U) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* 2 2) 2) (* (* J J) J)))) (/ (* (* U U) U) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* 2 J) (* 2 J)) (* 2 J)))))) 1))))>
2.761 * * * * [progress]: [ 69 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (cbrt (* (/ (* (* U U) U) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* 2 2) 2) (* (* J J) J)))) (/ (* (* U U) U) (* (* (* (cos (/ K 2)) (* 2 J)) (* (cos (/ K 2)) (* 2 J))) (* (cos (/ K 2)) (* 2 J)))))) 1))))>
2.761 * * * * [progress]: [ 70 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (cbrt (* (/ (* (* U U) U) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* 2 2) 2) (* (* J J) J)))) (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) (/ U (* (cos (/ K 2)) (* 2 J)))))) 1))))>
2.761 * * * * [progress]: [ 71 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (cbrt (* (/ (* (* U U) U) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* 2 J) (* 2 J)) (* 2 J)))) (/ (* (* U U) U) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* 2 2) 2) (* (* J J) J)))))) 1))))>
2.761 * * * * [progress]: [ 72 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (cbrt (* (/ (* (* U U) U) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* 2 J) (* 2 J)) (* 2 J)))) (/ (* (* U U) U) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* 2 J) (* 2 J)) (* 2 J)))))) 1))))>
2.761 * * * * [progress]: [ 73 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (cbrt (* (/ (* (* U U) U) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* 2 J) (* 2 J)) (* 2 J)))) (/ (* (* U U) U) (* (* (* (cos (/ K 2)) (* 2 J)) (* (cos (/ K 2)) (* 2 J))) (* (cos (/ K 2)) (* 2 J)))))) 1))))>
2.761 * * * * [progress]: [ 74 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (cbrt (* (/ (* (* U U) U) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* 2 J) (* 2 J)) (* 2 J)))) (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) (/ U (* (cos (/ K 2)) (* 2 J)))))) 1))))>
2.761 * * * * [progress]: [ 75 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (cbrt (* (/ (* (* U U) U) (* (* (* (cos (/ K 2)) (* 2 J)) (* (cos (/ K 2)) (* 2 J))) (* (cos (/ K 2)) (* 2 J)))) (/ (* (* U U) U) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* 2 2) 2) (* (* J J) J)))))) 1))))>
2.762 * * * * [progress]: [ 76 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (cbrt (* (/ (* (* U U) U) (* (* (* (cos (/ K 2)) (* 2 J)) (* (cos (/ K 2)) (* 2 J))) (* (cos (/ K 2)) (* 2 J)))) (/ (* (* U U) U) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* 2 J) (* 2 J)) (* 2 J)))))) 1))))>
2.762 * * * * [progress]: [ 77 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (cbrt (* (/ (* (* U U) U) (* (* (* (cos (/ K 2)) (* 2 J)) (* (cos (/ K 2)) (* 2 J))) (* (cos (/ K 2)) (* 2 J)))) (/ (* (* U U) U) (* (* (* (cos (/ K 2)) (* 2 J)) (* (cos (/ K 2)) (* 2 J))) (* (cos (/ K 2)) (* 2 J)))))) 1))))>
2.762 * * * * [progress]: [ 78 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (cbrt (* (/ (* (* U U) U) (* (* (* (cos (/ K 2)) (* 2 J)) (* (cos (/ K 2)) (* 2 J))) (* (cos (/ K 2)) (* 2 J)))) (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) (/ U (* (cos (/ K 2)) (* 2 J)))))) 1))))>
2.762 * * * * [progress]: [ 79 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (cbrt (* (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) (/ U (* (cos (/ K 2)) (* 2 J)))) (/ (* (* U U) U) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* 2 2) 2) (* (* J J) J)))))) 1))))>
2.762 * * * * [progress]: [ 80 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (cbrt (* (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) (/ U (* (cos (/ K 2)) (* 2 J)))) (/ (* (* U U) U) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* 2 J) (* 2 J)) (* 2 J)))))) 1))))>
2.762 * * * * [progress]: [ 81 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (cbrt (* (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) (/ U (* (cos (/ K 2)) (* 2 J)))) (/ (* (* U U) U) (* (* (* (cos (/ K 2)) (* 2 J)) (* (cos (/ K 2)) (* 2 J))) (* (cos (/ K 2)) (* 2 J)))))) 1))))>
2.762 * * * * [progress]: [ 82 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (cbrt (* (* (* (/ 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))))>
2.762 * * * * [progress]: [ 83 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (* (cbrt (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))) (cbrt (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))) (cbrt (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))) 1))))>
2.762 * * * * [progress]: [ 84 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (cbrt (* (* (* (/ 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))))>
2.762 * * * * [progress]: [ 85 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (sqrt (* (/ 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)))))) 1))))>
2.762 * * * * [progress]: [ 86 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (/ (* U U) (* (* (cos (/ K 2)) (* 2 J)) (* (cos (/ K 2)) (* 2 J)))) 1))))>
2.762 * * * * [progress]: [ 87 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))) 1))))>
2.762 * * * * [progress]: [ 88 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (* (* (cbrt (/ U (* (cos (/ K 2)) (* 2 J)))) (cbrt (/ U (* (cos (/ K 2)) (* 2 J))))) (* (cbrt (/ U (* (cos (/ K 2)) (* 2 J)))) (cbrt (/ U (* (cos (/ K 2)) (* 2 J)))))) (* (cbrt (/ U (* (cos (/ K 2)) (* 2 J)))) (cbrt (/ U (* (cos (/ K 2)) (* 2 J)))))) 1))))>
2.763 * * * * [progress]: [ 89 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (* (sqrt (/ U (* (cos (/ K 2)) (* 2 J)))) (sqrt (/ U (* (cos (/ K 2)) (* 2 J))))) (* (sqrt (/ U (* (cos (/ K 2)) (* 2 J)))) (sqrt (/ U (* (cos (/ K 2)) (* 2 J)))))) 1))))>
2.763 * * * * [progress]: [ 90 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (* (/ (* (cbrt U) (cbrt U)) (cos (/ K 2))) (/ (* (cbrt U) (cbrt U)) (cos (/ K 2)))) (* (/ (cbrt U) (* 2 J)) (/ (cbrt U) (* 2 J)))) 1))))>
2.763 * * * * [progress]: [ 91 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (* (/ (sqrt U) (cos (/ K 2))) (/ (sqrt U) (cos (/ K 2)))) (* (/ (sqrt U) (* 2 J)) (/ (sqrt U) (* 2 J)))) 1))))>
2.763 * * * * [progress]: [ 92 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (* (/ 1 (cos (/ K 2))) (/ 1 (cos (/ K 2)))) (* (/ U (* 2 J)) (/ U (* 2 J)))) 1))))>
2.763 * * * * [progress]: [ 93 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (* 1 1) (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))) 1))))>
2.763 * * * * [progress]: [ 94 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (* U U) (* (/ 1 (* (cos (/ K 2)) (* 2 J))) (/ 1 (* (cos (/ K 2)) (* 2 J))))) 1))))>
2.763 * * * * [progress]: [ 95 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (* (sqrt (/ U (* (cos (/ K 2)) (* 2 J)))) (sqrt (/ U (* (cos (/ K 2)) (* 2 J))))) (* (sqrt (/ U (* (cos (/ K 2)) (* 2 J)))) (sqrt (/ U (* (cos (/ K 2)) (* 2 J)))))) 1))))>
2.763 * * * * [progress]: [ 96 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (pow (/ U (* (cos (/ K 2)) (* 2 J))) (* 2 1)) 1))))>
2.763 * * * * [progress]: [ 97 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (* (cbrt (/ U (* (cos (/ K 2)) (* 2 J)))) (cbrt (/ U (* (cos (/ K 2)) (* 2 J)))))) (cbrt (/ U (* (cos (/ K 2)) (* 2 J))))) 1))))>
2.763 * * * * [progress]: [ 98 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (sqrt (/ U (* (cos (/ K 2)) (* 2 J))))) (sqrt (/ U (* (cos (/ K 2)) (* 2 J))))) 1))))>
2.763 * * * * [progress]: [ 99 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ (* (cbrt U) (cbrt U)) (cos (/ K 2)))) (/ (cbrt U) (* 2 J))) 1))))>
2.763 * * * * [progress]: [ 100 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ (sqrt U) (cos (/ K 2)))) (/ (sqrt U) (* 2 J))) 1))))>
2.763 * * * * [progress]: [ 101 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ 1 (cos (/ K 2)))) (/ U (* 2 J))) 1))))>
2.763 * * * * [progress]: [ 102 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (* (/ U (* (cos (/ K 2)) (* 2 J))) 1) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))>
2.764 * * * * [progress]: [ 103 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (* (/ U (* (cos (/ K 2)) (* 2 J))) U) (/ 1 (* (cos (/ K 2)) (* 2 J)))) 1))))>
2.764 * * * * [progress]: [ 104 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (* (cbrt (/ U (* (cos (/ K 2)) (* 2 J)))) (cbrt (/ U (* (cos (/ K 2)) (* 2 J))))) (* (cbrt (/ U (* (cos (/ K 2)) (* 2 J)))) (/ U (* (cos (/ K 2)) (* 2 J))))) 1))))>
2.764 * * * * [progress]: [ 105 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (sqrt (/ U (* (cos (/ K 2)) (* 2 J)))) (* (sqrt (/ U (* (cos (/ K 2)) (* 2 J)))) (/ U (* (cos (/ K 2)) (* 2 J))))) 1))))>
2.764 * * * * [progress]: [ 106 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ (* (cbrt U) (cbrt U)) (cos (/ K 2))) (* (/ (cbrt U) (* 2 J)) (/ U (* (cos (/ K 2)) (* 2 J))))) 1))))>
2.764 * * * * [progress]: [ 107 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ (sqrt U) (cos (/ K 2))) (* (/ (sqrt U) (* 2 J)) (/ U (* (cos (/ K 2)) (* 2 J))))) 1))))>
2.764 * * * * [progress]: [ 108 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ 1 (cos (/ K 2))) (* (/ U (* 2 J)) (/ U (* (cos (/ K 2)) (* 2 J))))) 1))))>
2.764 * * * * [progress]: [ 109 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))) 1))))>
2.764 * * * * [progress]: [ 110 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* U (* (/ 1 (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))) 1))))>
2.764 * * * * [progress]: [ 111 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (/ (* (/ U (* (cos (/ K 2)) (* 2 J))) U) (* (cos (/ K 2)) (* 2 J))) 1))))>
2.764 * * * * [progress]: [ 112 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (/ (* U (/ U (* (cos (/ K 2)) (* 2 J)))) (* (cos (/ K 2)) (* 2 J))) 1))))>
2.764 * * * * [progress]: [ 113 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (posit16->real (real->posit16 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))) 1))))>
2.764 * * * * [progress]: [ 114 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))>
2.764 * * * * [progress]: [ 115 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (pow (* (cos (/ K 2)) (* 2 J)) 1))) 1))))>
2.764 * * * * [progress]: [ 116 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (pow (* (cos (/ K 2)) (* 2 J)) 1))) 1))))>
2.764 * * * * [progress]: [ 117 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (pow (* (cos (/ K 2)) (* 2 J)) 1))) 1))))>
2.765 * * * * [progress]: [ 118 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (exp (+ (log (cos (/ K 2))) (+ (log 2) (log J)))))) 1))))>
2.765 * * * * [progress]: [ 119 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (exp (+ (log (cos (/ K 2))) (log (* 2 J)))))) 1))))>
2.765 * * * * [progress]: [ 120 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (exp (log (* (cos (/ K 2)) (* 2 J)))))) 1))))>
2.765 * * * * [progress]: [ 121 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (log (exp (* (cos (/ K 2)) (* 2 J)))))) 1))))>
2.765 * * * * [progress]: [ 122 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (cbrt (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* 2 2) 2) (* (* J J) J)))))) 1))))>
2.765 * * * * [progress]: [ 123 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (cbrt (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* 2 J) (* 2 J)) (* 2 J)))))) 1))))>
2.765 * * * * [progress]: [ 124 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (* (cbrt (* (cos (/ K 2)) (* 2 J))) (cbrt (* (cos (/ K 2)) (* 2 J)))) (cbrt (* (cos (/ K 2)) (* 2 J)))))) 1))))>
2.765 * * * * [progress]: [ 125 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (cbrt (* (* (* (cos (/ K 2)) (* 2 J)) (* (cos (/ K 2)) (* 2 J))) (* (cos (/ K 2)) (* 2 J)))))) 1))))>
2.765 * * * * [progress]: [ 126 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (sqrt (* (cos (/ K 2)) (* 2 J))) (sqrt (* (cos (/ K 2)) (* 2 J)))))) 1))))>
2.765 * * * * [progress]: [ 127 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* 1 (* (cos (/ K 2)) (* 2 J))))) 1))))>
2.765 * * * * [progress]: [ 128 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (* (cos (/ K 2)) 2) J))) 1))))>
2.765 * * * * [progress]: [ 129 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (* 2 J))))) 1))))>
2.765 * * * * [progress]: [ 130 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) (* 2 J))))) 1))))>
2.765 * * * * [progress]: [ 131 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* 1 (* (cos (/ K 2)) (* 2 J))))) 1))))>
2.766 * * * * [progress]: [ 132 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (posit16->real (real->posit16 (* (cos (/ K 2)) (* 2 J)))))) 1))))>
2.766 * * * * [progress]: [ 133 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (* 2 J) (cos (/ K 2))))) 1))))>
2.766 * * * * [progress]: [ 134 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) 1))>
2.766 * * * * [progress]: [ 135 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))>
2.766 * * * * [progress]: [ 136 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))>
2.766 * * * * [progress]: [ 137 / 145 ] simplifiying candidate #<alt (λ (J K U) 0)>
2.766 * * * * [progress]: [ 138 / 145 ] simplifiying candidate #<alt (λ (J K U) (* -2 (* (cos (* 1/2 K)) J)))>
2.766 * * * * [progress]: [ 139 / 145 ] simplifiying candidate #<alt (λ (J K U) (* -2 (* (cos (* 1/2 K)) J)))>
2.766 * * * * [progress]: [ 140 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (* (pow K 4) (pow U 2)) (pow J 2))))) 1))))>
2.766 * * * * [progress]: [ 141 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))))>
2.766 * * * * [progress]: [ 142 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))))>
2.766 * * * * [progress]: [ 143 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (- (* 2 J) (* 1/4 (* (pow K 2) J))))) 1))))>
2.766 * * * * [progress]: [ 144 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1))))>
2.766 * * * * [progress]: [ 145 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1))))>
2.769 * [simplify]: Simplifying:
  (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)) (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)))
  (sqrt (* (cbrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) (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)))
  (sqrt 1)
  (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))
  (sqrt (+ (pow (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 3) (pow 1 3)))
  (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 1) (* (* (/ 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 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)))
  (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))
  (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))
  (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))
  (+ (+ (log J) (+ (log -2) (log (cos (/ K 2))))) (log (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))
  (+ (+ (log J) (log (* -2 (cos (/ K 2))))) (log (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))
  (+ (log (* J (* -2 (cos (/ K 2))))) (log (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))
  (log (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))
  (exp (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))
  (* (* (* (* J J) J) (* (* (* -2 -2) -2) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (* (* (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))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))
  (* (* (* (* J J) J) (* (* (* -2 (cos (/ K 2))) (* -2 (cos (/ K 2)))) (* -2 (cos (/ K 2))))) (* (* (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))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))
  (* (* (* (* J (* -2 (cos (/ K 2)))) (* J (* -2 (cos (/ K 2))))) (* J (* -2 (cos (/ K 2))))) (* (* (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))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))
  (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))))
  (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))
  (* (* (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))
  (sqrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))
  (sqrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))
  (* (* J (* -2 (cos (/ K 2)))) (* (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)))))
  (* (* J (* -2 (cos (/ K 2)))) (sqrt (* (cbrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) (cbrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))))
  (* (* J (* -2 (cos (/ K 2)))) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))
  (* (* J (* -2 (cos (/ K 2)))) (sqrt 1))
  (* (* J (* -2 (cos (/ K 2)))) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))
  (* (* J (* -2 (cos (/ K 2)))) 1)
  (* (* -2 (cos (/ K 2))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))
  (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (pow (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 3) (pow 1 3))))
  (* (* J (* -2 (cos (/ K 2)))) (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 1))))
  (real->posit16 (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))
  (+ 1 1)
  (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))
  (+ 1 1)
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  (+ (- (log U) (+ (log (cos (/ K 2))) (+ (log 2) (log J)))) (- (log U) (+ (log (cos (/ K 2))) (log (* 2 J)))))
  (+ (- (log U) (+ (log (cos (/ K 2))) (+ (log 2) (log J)))) (- (log U) (log (* (cos (/ K 2)) (* 2 J)))))
  (+ (- (log U) (+ (log (cos (/ K 2))) (+ (log 2) (log J)))) (log (/ U (* (cos (/ K 2)) (* 2 J)))))
  (+ (- (log U) (+ (log (cos (/ K 2))) (log (* 2 J)))) (- (log U) (+ (log (cos (/ K 2))) (+ (log 2) (log J)))))
  (+ (- (log U) (+ (log (cos (/ K 2))) (log (* 2 J)))) (- (log U) (+ (log (cos (/ K 2))) (log (* 2 J)))))
  (+ (- (log U) (+ (log (cos (/ K 2))) (log (* 2 J)))) (- (log U) (log (* (cos (/ K 2)) (* 2 J)))))
  (+ (- (log U) (+ (log (cos (/ K 2))) (log (* 2 J)))) (log (/ U (* (cos (/ K 2)) (* 2 J)))))
  (+ (- (log U) (log (* (cos (/ K 2)) (* 2 J)))) (- (log U) (+ (log (cos (/ K 2))) (+ (log 2) (log J)))))
  (+ (- (log U) (log (* (cos (/ K 2)) (* 2 J)))) (- (log U) (+ (log (cos (/ K 2))) (log (* 2 J)))))
  (+ (- (log U) (log (* (cos (/ K 2)) (* 2 J)))) (- (log U) (log (* (cos (/ K 2)) (* 2 J)))))
  (+ (- (log U) (log (* (cos (/ K 2)) (* 2 J)))) (log (/ U (* (cos (/ K 2)) (* 2 J)))))
  (+ (log (/ U (* (cos (/ K 2)) (* 2 J)))) (- (log U) (+ (log (cos (/ K 2))) (+ (log 2) (log J)))))
  (+ (log (/ U (* (cos (/ K 2)) (* 2 J)))) (- (log U) (+ (log (cos (/ K 2))) (log (* 2 J)))))
  (+ (log (/ U (* (cos (/ K 2)) (* 2 J)))) (- (log U) (log (* (cos (/ K 2)) (* 2 J)))))
  (+ (log (/ U (* (cos (/ K 2)) (* 2 J)))) (log (/ U (* (cos (/ K 2)) (* 2 J)))))
  (log (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))
  (exp (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))
  (* (/ (* (* U U) U) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* 2 2) 2) (* (* J J) J)))) (/ (* (* U U) U) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* 2 2) 2) (* (* J J) J)))))
  (* (/ (* (* U U) U) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* 2 2) 2) (* (* J J) J)))) (/ (* (* U U) U) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* 2 J) (* 2 J)) (* 2 J)))))
  (* (/ (* (* U U) U) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* 2 2) 2) (* (* J J) J)))) (/ (* (* U U) U) (* (* (* (cos (/ K 2)) (* 2 J)) (* (cos (/ K 2)) (* 2 J))) (* (cos (/ K 2)) (* 2 J)))))
  (* (/ (* (* U U) U) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* 2 2) 2) (* (* J J) J)))) (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) (/ U (* (cos (/ K 2)) (* 2 J)))))
  (* (/ (* (* U U) U) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* 2 J) (* 2 J)) (* 2 J)))) (/ (* (* U U) U) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* 2 2) 2) (* (* J J) J)))))
  (* (/ (* (* U U) U) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* 2 J) (* 2 J)) (* 2 J)))) (/ (* (* U U) U) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* 2 J) (* 2 J)) (* 2 J)))))
  (* (/ (* (* U U) U) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* 2 J) (* 2 J)) (* 2 J)))) (/ (* (* U U) U) (* (* (* (cos (/ K 2)) (* 2 J)) (* (cos (/ K 2)) (* 2 J))) (* (cos (/ K 2)) (* 2 J)))))
  (* (/ (* (* U U) U) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* 2 J) (* 2 J)) (* 2 J)))) (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) (/ U (* (cos (/ K 2)) (* 2 J)))))
  (* (/ (* (* U U) U) (* (* (* (cos (/ K 2)) (* 2 J)) (* (cos (/ K 2)) (* 2 J))) (* (cos (/ K 2)) (* 2 J)))) (/ (* (* U U) U) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* 2 2) 2) (* (* J J) J)))))
  (* (/ (* (* U U) U) (* (* (* (cos (/ K 2)) (* 2 J)) (* (cos (/ K 2)) (* 2 J))) (* (cos (/ K 2)) (* 2 J)))) (/ (* (* U U) U) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* 2 J) (* 2 J)) (* 2 J)))))
  (* (/ (* (* U U) U) (* (* (* (cos (/ K 2)) (* 2 J)) (* (cos (/ K 2)) (* 2 J))) (* (cos (/ K 2)) (* 2 J)))) (/ (* (* U U) U) (* (* (* (cos (/ K 2)) (* 2 J)) (* (cos (/ K 2)) (* 2 J))) (* (cos (/ K 2)) (* 2 J)))))
  (* (/ (* (* U U) U) (* (* (* (cos (/ K 2)) (* 2 J)) (* (cos (/ K 2)) (* 2 J))) (* (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)))) (/ U (* (cos (/ K 2)) (* 2 J)))) (/ (* (* U U) U) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* 2 2) 2) (* (* J J) J)))))
  (* (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) (/ U (* (cos (/ K 2)) (* 2 J)))) (/ (* (* U U) U) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* 2 J) (* 2 J)) (* 2 J)))))
  (* (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) (/ U (* (cos (/ K 2)) (* 2 J)))) (/ (* (* U U) U) (* (* (* (cos (/ K 2)) (* 2 J)) (* (cos (/ K 2)) (* 2 J))) (* (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)))) (/ U (* (cos (/ K 2)) (* 2 J)))))
  (* (cbrt (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))) (cbrt (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))))
  (cbrt (* (/ 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))))) (* (/ 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)))))
  (sqrt (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))
  (* U U)
  (* (* (cos (/ K 2)) (* 2 J)) (* (cos (/ K 2)) (* 2 J)))
  (* (* (cbrt (/ U (* (cos (/ K 2)) (* 2 J)))) (cbrt (/ U (* (cos (/ K 2)) (* 2 J))))) (* (cbrt (/ U (* (cos (/ K 2)) (* 2 J)))) (cbrt (/ U (* (cos (/ K 2)) (* 2 J))))))
  (* (cbrt (/ U (* (cos (/ K 2)) (* 2 J)))) (cbrt (/ U (* (cos (/ K 2)) (* 2 J)))))
  (* (sqrt (/ U (* (cos (/ K 2)) (* 2 J)))) (sqrt (/ U (* (cos (/ K 2)) (* 2 J)))))
  (* (sqrt (/ U (* (cos (/ K 2)) (* 2 J)))) (sqrt (/ U (* (cos (/ K 2)) (* 2 J)))))
  (* (/ (* (cbrt U) (cbrt U)) (cos (/ K 2))) (/ (* (cbrt U) (cbrt U)) (cos (/ K 2))))
  (* (/ (cbrt U) (* 2 J)) (/ (cbrt U) (* 2 J)))
  (* (/ (sqrt U) (cos (/ K 2))) (/ (sqrt U) (cos (/ K 2))))
  (* (/ (sqrt U) (* 2 J)) (/ (sqrt U) (* 2 J)))
  (* (/ 1 (cos (/ K 2))) (/ 1 (cos (/ K 2))))
  (* (/ U (* 2 J)) (/ U (* 2 J)))
  (* 1 1)
  (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))
  (* U U)
  (* (/ 1 (* (cos (/ K 2)) (* 2 J))) (/ 1 (* (cos (/ K 2)) (* 2 J))))
  (* (sqrt (/ U (* (cos (/ K 2)) (* 2 J)))) (sqrt (/ U (* (cos (/ K 2)) (* 2 J)))))
  (* (sqrt (/ U (* (cos (/ K 2)) (* 2 J)))) (sqrt (/ U (* (cos (/ K 2)) (* 2 J)))))
  (* 2 1)
  (* (/ U (* (cos (/ K 2)) (* 2 J))) (* (cbrt (/ U (* (cos (/ K 2)) (* 2 J)))) (cbrt (/ 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))) (/ (* (cbrt U) (cbrt U)) (cos (/ K 2))))
  (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ (sqrt U) (cos (/ K 2))))
  (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ 1 (cos (/ K 2))))
  (* (/ U (* (cos (/ K 2)) (* 2 J))) 1)
  (* (/ U (* (cos (/ K 2)) (* 2 J))) U)
  (* (cbrt (/ 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))))
  (* (/ (cbrt U) (* 2 J)) (/ U (* (cos (/ K 2)) (* 2 J))))
  (* (/ (sqrt U) (* 2 J)) (/ U (* (cos (/ K 2)) (* 2 J))))
  (* (/ U (* 2 J)) (/ U (* (cos (/ K 2)) (* 2 J))))
  (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))
  (* (/ 1 (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))
  (* (/ U (* (cos (/ K 2)) (* 2 J))) U)
  (* U (/ U (* (cos (/ K 2)) (* 2 J))))
  (real->posit16 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))
  (* (cos (/ K 2)) (* 2 J))
  (* (cos (/ K 2)) (* 2 J))
  (+ (log (cos (/ K 2))) (+ (log 2) (log J)))
  (+ (log (cos (/ K 2))) (log (* 2 J)))
  (log (* (cos (/ K 2)) (* 2 J)))
  (exp (* (cos (/ K 2)) (* 2 J)))
  (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* 2 2) 2) (* (* J J) J)))
  (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* 2 J) (* 2 J)) (* 2 J)))
  (* (cbrt (* (cos (/ K 2)) (* 2 J))) (cbrt (* (cos (/ K 2)) (* 2 J))))
  (cbrt (* (cos (/ K 2)) (* 2 J)))
  (* (* (* (cos (/ K 2)) (* 2 J)) (* (cos (/ K 2)) (* 2 J))) (* (cos (/ K 2)) (* 2 J)))
  (sqrt (* (cos (/ K 2)) (* 2 J)))
  (sqrt (* (cos (/ K 2)) (* 2 J)))
  (* (cos (/ K 2)) 2)
  (* (cbrt (cos (/ K 2))) (* 2 J))
  (* (sqrt (cos (/ K 2))) (* 2 J))
  (* (cos (/ K 2)) (* 2 J))
  (real->posit16 (* (cos (/ K 2)) (* 2 J)))
  1
  (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
  (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
  0
  (* -2 (* (cos (* 1/2 K)) J))
  (* -2 (* (cos (* 1/2 K)) J))
  (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (* (pow K 4) (pow U 2)) (pow J 2)))))
  (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
  (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
  (- (* 2 J) (* 1/4 (* (pow K 2) J)))
  (* 2 (* (cos (* 1/2 K)) J))
  (* 2 (* (cos (* 1/2 K)) J))
2.777 * * [simplify]: iteration 0: 236 enodes
2.897 * * [simplify]: iteration 1: 705 enodes
3.119 * * [simplify]: iteration 2: 2009 enodes
3.472 * * [simplify]: iteration complete: 2009 enodes
3.473 * * [simplify]: Extracting #0: cost 95 inf + 0
3.474 * * [simplify]: Extracting #1: cost 598 inf + 4
3.476 * * [simplify]: Extracting #2: cost 824 inf + 3635
3.480 * * [simplify]: Extracting #3: cost 770 inf + 13666
3.485 * * [simplify]: Extracting #4: cost 715 inf + 20409
3.494 * * [simplify]: Extracting #5: cost 536 inf + 68908
3.537 * * [simplify]: Extracting #6: cost 170 inf + 212602
3.598 * * [simplify]: Extracting #7: cost 31 inf + 267786
3.678 * * [simplify]: Extracting #8: cost 1 inf + 278192
3.745 * * [simplify]: Extracting #9: cost 0 inf + 275858
3.829 * * [simplify]: Extracting #10: cost 0 inf + 275538
3.891 * [simplify]: Simplified to:
  (log (sqrt (+ (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) 1)))
  (exp (sqrt (+ (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) 1)))
  (* (cbrt (sqrt (+ (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) 1))) (cbrt (sqrt (+ (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) 1))))
  (cbrt (sqrt (+ (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) 1)))
  (* (sqrt (+ (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) 1)) (+ (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) 1))
  (fabs (cbrt (+ (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) 1)))
  (sqrt (cbrt (+ (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) 1)))
  (sqrt (sqrt (+ (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) 1)))
  (sqrt (sqrt (+ (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) 1)))
  1
  (sqrt (+ (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) 1))
  (sqrt (+ (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (/ U (* (* (cos (/ K 2)) J) 2))) (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (/ U (* (* (cos (/ K 2)) J) 2)))) 1))
  (sqrt (+ (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (- 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))
  (sqrt (+ (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) -1))
  (sqrt (- (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) 1))
  1/2
  (sqrt (sqrt (+ (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) 1)))
  (sqrt (sqrt (+ (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) 1)))
  (real->posit16 (sqrt (+ (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) 1)))
  (* J (* (* -2 (cos (/ K 2))) (sqrt (+ (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) 1))))
  (* J (* (* -2 (cos (/ K 2))) (sqrt (+ (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) 1))))
  (* J (* (* -2 (cos (/ K 2))) (sqrt (+ (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) 1))))
  (log (* J (* (* -2 (cos (/ K 2))) (sqrt (+ (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) 1)))))
  (log (* J (* (* -2 (cos (/ K 2))) (sqrt (+ (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) 1)))))
  (log (* J (* (* -2 (cos (/ K 2))) (sqrt (+ (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) 1)))))
  (log (* J (* (* -2 (cos (/ K 2))) (sqrt (+ (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) 1)))))
  (exp (* J (* (* -2 (cos (/ K 2))) (sqrt (+ (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) 1)))))
  (* (* (* (* (* (* J J) J) (* 4 -2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (+ (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) 1)) (sqrt (+ (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) 1)))
  (* (* (* (sqrt (+ (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) 1)) (+ (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) 1)) (* J J)) (* (* J (* (* (* 2 (cos (/ K 2))) (* 2 (cos (/ K 2)))) -2)) (cos (/ K 2))))
  (* (* (sqrt (+ (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) 1)) (+ (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) 1)) (* (* (* J -2) (cos (/ K 2))) (* (* (* J -2) (cos (/ K 2))) (* (* J -2) (cos (/ K 2))))))
  (* (cbrt (* J (* (* -2 (cos (/ K 2))) (sqrt (+ (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) 1))))) (cbrt (* J (* (* -2 (cos (/ K 2))) (sqrt (+ (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) 1))))))
  (cbrt (* J (* (* -2 (cos (/ K 2))) (sqrt (+ (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) 1)))))
  (* (* (* (* (* (* J -2) (cos (/ K 2))) (* (* J -2) (cos (/ K 2)))) (+ (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) 1)) (* (* J -2) (cos (/ K 2)))) (sqrt (+ (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) 1)))
  (sqrt (* J (* (* -2 (cos (/ K 2))) (sqrt (+ (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) 1)))))
  (sqrt (* J (* (* -2 (cos (/ K 2))) (sqrt (+ (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) 1)))))
  (* (* J (* -2 (cos (/ K 2)))) (* (cbrt (sqrt (+ (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) 1))) (cbrt (sqrt (+ (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) 1)))))
  (* (fabs (cbrt (+ (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) 1))) (* (* J -2) (cos (/ K 2))))
  (* (* J (* -2 (cos (/ K 2)))) (sqrt (sqrt (+ (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) 1))))
  (* (* J -2) (cos (/ K 2)))
  (* (* J (* -2 (cos (/ K 2)))) (sqrt (sqrt (+ (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) 1))))
  (* (* J -2) (cos (/ K 2)))
  (* (* -2 (cos (/ K 2))) (sqrt (+ (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) 1)))
  (* (* (sqrt (+ (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (/ U (* (* (cos (/ K 2)) J) 2))) (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (/ U (* (* (cos (/ K 2)) J) 2)))) 1)) (* J -2)) (cos (/ K 2)))
  (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) -1)))
  (real->posit16 (* J (* (* -2 (cos (/ K 2))) (sqrt (+ (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) 1)))))
  2
  (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))
  2
  (+ (log (/ U (* (* (cos (/ K 2)) J) 2))) (log (/ U (* (* (cos (/ K 2)) J) 2))))
  (+ (log (/ U (* (* (cos (/ K 2)) J) 2))) (log (/ U (* (* (cos (/ K 2)) J) 2))))
  (+ (log (/ U (* (* (cos (/ K 2)) J) 2))) (log (/ U (* (* (cos (/ K 2)) J) 2))))
  (+ (log (/ U (* (* (cos (/ K 2)) J) 2))) (log (/ U (* (* (cos (/ K 2)) J) 2))))
  (+ (log (/ U (* (* (cos (/ K 2)) J) 2))) (log (/ U (* (* (cos (/ K 2)) J) 2))))
  (+ (log (/ U (* (* (cos (/ K 2)) J) 2))) (log (/ U (* (* (cos (/ K 2)) J) 2))))
  (+ (log (/ U (* (* (cos (/ K 2)) J) 2))) (log (/ U (* (* (cos (/ K 2)) J) 2))))
  (+ (log (/ U (* (* (cos (/ K 2)) J) 2))) (log (/ U (* (* (cos (/ K 2)) J) 2))))
  (+ (log (/ U (* (* (cos (/ K 2)) J) 2))) (log (/ U (* (* (cos (/ K 2)) J) 2))))
  (+ (log (/ U (* (* (cos (/ K 2)) J) 2))) (log (/ U (* (* (cos (/ K 2)) J) 2))))
  (+ (log (/ U (* (* (cos (/ K 2)) J) 2))) (log (/ U (* (* (cos (/ K 2)) J) 2))))
  (+ (log (/ U (* (* (cos (/ K 2)) J) 2))) (log (/ U (* (* (cos (/ K 2)) J) 2))))
  (+ (log (/ U (* (* (cos (/ K 2)) J) 2))) (log (/ U (* (* (cos (/ K 2)) J) 2))))
  (+ (log (/ U (* (* (cos (/ K 2)) J) 2))) (log (/ U (* (* (cos (/ K 2)) J) 2))))
  (+ (log (/ U (* (* (cos (/ K 2)) J) 2))) (log (/ U (* (* (cos (/ K 2)) J) 2))))
  (+ (log (/ U (* (* (cos (/ K 2)) J) 2))) (log (/ U (* (* (cos (/ K 2)) J) 2))))
  (+ (log (/ U (* (* (cos (/ K 2)) J) 2))) (log (/ U (* (* (cos (/ K 2)) J) 2))))
  (exp (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))
  (* (* (/ U (* (cos (/ K 2)) (cos (/ K 2)))) (/ (* U U) (* (cos (/ K 2)) (* (* (* 2 4) (* J J)) J)))) (* (/ U (* (cos (/ K 2)) (cos (/ K 2)))) (/ (* U U) (* (cos (/ K 2)) (* (* (* 2 4) (* J J)) J)))))
  (* (/ (/ (* (* U U) U) (* (* (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* 2 J)) (* 2 J)) (* 2 J))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (/ (* (* U U) U) (* (* (* 2 4) (* J J)) J)))
  (* (/ (* (/ U (* (cos (/ K 2)) (cos (/ K 2)))) (/ (* U U) (* (cos (/ K 2)) (* (* (* 2 4) (* J J)) J)))) (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2))) (/ (* (* U U) U) (* (* (cos (/ K 2)) J) 2)))
  (/ (* (* (* U U) U) (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (cos (/ K 2)) (* (cos (/ K 2)) (* (cos (/ K 2)) (* (* (* 2 4) (* J J)) J)))))
  (* (/ (/ (* (* U U) U) (* (* (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* 2 J)) (* 2 J)) (* 2 J))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (/ (* (* U U) U) (* (* (* 2 4) (* J J)) J)))
  (* (/ (* (* U U) U) (* (* (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* 2 J)) (* 2 J)) (* 2 J))) (/ (* (* U U) U) (* (* (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* 2 J)) (* 2 J)) (* 2 J))))
  (/ (* (/ (* (* U U) U) (* (* (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* 2 J)) (* 2 J)) (* 2 J))) (* (* U U) U)) (* (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2)) (* (* (cos (/ K 2)) J) 2)))
  (* (/ (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (/ U (* (* (cos (/ K 2)) J) 2))) (* (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* 2 J)) (* 2 J))) (/ (* (* U U) U) (* 2 J)))
  (* (/ (* (/ U (* (cos (/ K 2)) (cos (/ K 2)))) (/ (* U U) (* (cos (/ K 2)) (* (* (* 2 4) (* J J)) J)))) (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2))) (/ (* (* U U) U) (* (* (cos (/ K 2)) J) 2)))
  (/ (* (/ (* (* U U) U) (* (* (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* 2 J)) (* 2 J)) (* 2 J))) (* (* U U) U)) (* (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2)) (* (* (cos (/ K 2)) J) 2)))
  (* (/ (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ (* U U) (* (* (cos (/ K 2)) J) 2))) (* (* (cos (/ K 2)) J) 2)) (/ (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ (* U U) (* (* (cos (/ K 2)) J) 2))) (* (* (cos (/ K 2)) J) 2)))
  (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (/ U (* (* (cos (/ K 2)) J) 2))) (/ (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ (* U U) (* (* (cos (/ K 2)) J) 2))) (* (* (cos (/ K 2)) J) 2)))
  (/ (* (* (* U U) U) (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (cos (/ K 2)) (* (cos (/ K 2)) (* (cos (/ K 2)) (* (* (* 2 4) (* J J)) J)))))
  (* (/ (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (/ U (* (* (cos (/ K 2)) J) 2))) (* (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* 2 J)) (* 2 J))) (/ (* (* U U) U) (* 2 J)))
  (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (/ U (* (* (cos (/ K 2)) J) 2))) (/ (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ (* U U) (* (* (cos (/ K 2)) J) 2))) (* (* (cos (/ K 2)) J) 2)))
  (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (/ U (* (* (cos (/ K 2)) J) 2))) (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (/ U (* (* (cos (/ K 2)) J) 2))))
  (* (cbrt (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (cbrt (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))
  (cbrt (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))
  (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (/ U (* (* (cos (/ K 2)) J) 2))) (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (/ U (* (* (cos (/ K 2)) J) 2))))
  (fabs (/ U (* (* (cos (/ K 2)) J) 2)))
  (fabs (/ U (* (* (cos (/ K 2)) J) 2)))
  (* U U)
  (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2))
  (* (* (cbrt (/ U (* (* (cos (/ K 2)) J) 2))) (cbrt (/ U (* (* (cos (/ K 2)) J) 2)))) (* (cbrt (/ U (* (* (cos (/ K 2)) J) 2))) (cbrt (/ U (* (* (cos (/ K 2)) J) 2)))))
  (* (cbrt (/ U (* (* (cos (/ K 2)) J) 2))) (cbrt (/ U (* (* (cos (/ K 2)) J) 2))))
  (/ U (* (* (cos (/ K 2)) J) 2))
  (/ U (* (* (cos (/ K 2)) J) 2))
  (* (/ (cbrt U) (/ (cos (/ K 2)) (cbrt U))) (/ (cbrt U) (/ (cos (/ K 2)) (cbrt U))))
  (* (/ (cbrt U) (* 2 J)) (/ (cbrt U) (* 2 J)))
  (* (/ (sqrt U) (cos (/ K 2))) (/ (sqrt U) (cos (/ K 2))))
  (* (/ (sqrt U) (* 2 J)) (/ (sqrt U) (* 2 J)))
  (/ (/ 1 (cos (/ K 2))) (cos (/ K 2)))
  (* (/ U (* 2 J)) (/ U (* 2 J)))
  1
  (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))
  (* U U)
  (* (/ (/ 1 (cos (/ K 2))) (* 2 J)) (/ (/ 1 (cos (/ K 2))) (* 2 J)))
  (/ U (* (* (cos (/ K 2)) J) 2))
  (/ U (* (* (cos (/ K 2)) J) 2))
  2
  (* (/ U (* (* (cos (/ K 2)) J) 2)) (* (cbrt (/ U (* (* (cos (/ K 2)) J) 2))) (cbrt (/ U (* (* (cos (/ K 2)) J) 2)))))
  (* (/ U (* (* (cos (/ K 2)) J) 2)) (sqrt (/ U (* (* (cos (/ K 2)) J) 2))))
  (* (/ U (* 2 J)) (/ (/ (cbrt U) (/ (cos (/ K 2)) (cbrt U))) (cos (/ K 2))))
  (* (/ (sqrt U) (cos (/ K 2))) (/ U (* (* (cos (/ K 2)) J) 2)))
  (/ (/ U (* (* (cos (/ K 2)) J) 2)) (cos (/ K 2)))
  (/ U (* (* (cos (/ K 2)) J) 2))
  (/ (* U U) (* (* (cos (/ K 2)) J) 2))
  (* (cbrt (/ U (* (* (cos (/ K 2)) J) 2))) (/ U (* (* (cos (/ K 2)) J) 2)))
  (* (/ U (* (* (cos (/ K 2)) J) 2)) (sqrt (/ U (* (* (cos (/ K 2)) J) 2))))
  (* (/ (/ (cbrt U) (* 2 J)) (* 2 J)) (/ U (cos (/ K 2))))
  (* (/ (/ (sqrt U) (* 2 J)) (cos (/ K 2))) (/ U (* 2 J)))
  (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ U (* 2 J)))
  (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))
  (/ (/ U (* (* (cos (/ K 2)) J) 2)) (* (* (cos (/ K 2)) J) 2))
  (/ (* U U) (* (* (cos (/ K 2)) J) 2))
  (/ (* U U) (* (* (cos (/ K 2)) J) 2))
  (real->posit16 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))
  (* (* (cos (/ K 2)) J) 2)
  (* (* (cos (/ K 2)) J) 2)
  (log (* (* (cos (/ K 2)) J) 2))
  (log (* (* (cos (/ K 2)) J) 2))
  (log (* (* (cos (/ K 2)) J) 2))
  (exp (* (* (cos (/ K 2)) J) 2))
  (* (cos (/ K 2)) (* (cos (/ K 2)) (* (cos (/ K 2)) (* (* (* 2 4) (* J J)) J))))
  (* (* (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* 2 J)) (* 2 J)) (* 2 J))
  (* (cbrt (* (* (cos (/ K 2)) J) 2)) (cbrt (* (* (cos (/ K 2)) J) 2)))
  (cbrt (* (* (cos (/ K 2)) J) 2))
  (* (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2)) (* (* (cos (/ K 2)) J) 2))
  (sqrt (* (* (cos (/ K 2)) J) 2))
  (sqrt (* (* (cos (/ K 2)) J) 2))
  (* (cos (/ K 2)) 2)
  (* (* 2 J) (cbrt (cos (/ K 2))))
  (* (* (sqrt (cos (/ K 2))) 2) J)
  (* (* (cos (/ K 2)) J) 2)
  (real->posit16 (* (* (cos (/ K 2)) J) 2))
  1
  (/ (* 1/2 U) (* (cos (* 1/2 K)) J))
  (/ (* 1/2 U) (* (cos (* 1/2 K)) J))
  0
  (* (* -2 J) (cos (* 1/2 K)))
  (* (* -2 J) (cos (* 1/2 K)))
  (+ (* 1/16 (/ (* K K) (/ (* J J) (* U U)))) (+ (/ (* 1/4 (* U U)) (* J J)) (* 1/96 (/ (* (* K K) (* K K)) (/ (* J J) (* U U))))))
  (* (/ 1/4 (* J J)) (/ (* U U) (* (cos (* 1/2 K)) (cos (* 1/2 K)))))
  (* (/ 1/4 (* J J)) (/ (* U U) (* (cos (* 1/2 K)) (cos (* 1/2 K)))))
  (* J (- 2 (* 1/4 (* K K))))
  (* (* (cos (* 1/2 K)) J) 2)
  (* (* (cos (* 1/2 K)) J) 2)
3.916 * * * [progress]: adding candidates to table
5.756 * * [progress]: iteration 2 / 4
5.756 * * * [progress]: picking best candidate
5.796 * * * * [pick]: Picked  #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))>
5.796 * * * [progress]: localizing error
5.872 * * * [progress]: generating rewritten candidates
5.872 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2)
6.030 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 2)
6.172 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 2)
6.328 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1)
6.592 * * * [progress]: generating series expansions
6.592 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2)
6.593 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))
6.593 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U K J) around 0
6.593 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J
6.593 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J
6.593 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
6.593 * [taylor]: Taking taylor expansion of 1/4 in J
6.593 * [backup-simplify]: Simplify 1/4 into 1/4
6.593 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
6.593 * [taylor]: Taking taylor expansion of (pow U 2) in J
6.593 * [taylor]: Taking taylor expansion of U in J
6.593 * [backup-simplify]: Simplify U into U
6.593 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
6.593 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
6.593 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
6.593 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
6.593 * [taylor]: Taking taylor expansion of 1/2 in J
6.593 * [backup-simplify]: Simplify 1/2 into 1/2
6.593 * [taylor]: Taking taylor expansion of K in J
6.593 * [backup-simplify]: Simplify K into K
6.593 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
6.593 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
6.593 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
6.593 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
6.593 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
6.594 * [backup-simplify]: Simplify (- 0) into 0
6.594 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
6.594 * [taylor]: Taking taylor expansion of (pow J 2) in J
6.594 * [taylor]: Taking taylor expansion of J in J
6.594 * [backup-simplify]: Simplify 0 into 0
6.594 * [backup-simplify]: Simplify 1 into 1
6.594 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.594 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
6.594 * [backup-simplify]: Simplify (* 1 1) into 1
6.594 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
6.594 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
6.594 * [taylor]: Taking taylor expansion of 1 in J
6.594 * [backup-simplify]: Simplify 1 into 1
6.595 * [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)))
6.595 * [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)))
6.595 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
6.595 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
6.595 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.596 * [backup-simplify]: Simplify (+ 0) into 0
6.596 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
6.596 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
6.597 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.597 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
6.597 * [backup-simplify]: Simplify (- 0) into 0
6.598 * [backup-simplify]: Simplify (+ 0 0) into 0
6.598 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
6.598 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
6.598 * [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
6.599 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0
6.599 * [backup-simplify]: Simplify (+ 0 0) into 0
6.599 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
6.599 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K
6.599 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K
6.600 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
6.600 * [taylor]: Taking taylor expansion of 1/4 in K
6.600 * [backup-simplify]: Simplify 1/4 into 1/4
6.600 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
6.600 * [taylor]: Taking taylor expansion of (pow U 2) in K
6.600 * [taylor]: Taking taylor expansion of U in K
6.600 * [backup-simplify]: Simplify U into U
6.600 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
6.600 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
6.600 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
6.600 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
6.600 * [taylor]: Taking taylor expansion of 1/2 in K
6.600 * [backup-simplify]: Simplify 1/2 into 1/2
6.600 * [taylor]: Taking taylor expansion of K in K
6.600 * [backup-simplify]: Simplify 0 into 0
6.600 * [backup-simplify]: Simplify 1 into 1
6.600 * [backup-simplify]: Simplify (* 1/2 0) into 0
6.601 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
6.601 * [taylor]: Taking taylor expansion of (pow J 2) in K
6.601 * [taylor]: Taking taylor expansion of J in K
6.601 * [backup-simplify]: Simplify J into J
6.601 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.602 * [backup-simplify]: Simplify (* 1 1) into 1
6.602 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.602 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
6.602 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
6.602 * [taylor]: Taking taylor expansion of 1 in K
6.602 * [backup-simplify]: Simplify 1 into 1
6.602 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2)))
6.602 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
6.603 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
6.603 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
6.603 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.603 * [backup-simplify]: Simplify (+ 0) into 0
6.604 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.604 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
6.605 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
6.605 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0
6.606 * [backup-simplify]: Simplify (+ 0 0) into 0
6.606 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
6.606 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
6.606 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
6.606 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
6.606 * [taylor]: Taking taylor expansion of 1/4 in U
6.606 * [backup-simplify]: Simplify 1/4 into 1/4
6.606 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
6.606 * [taylor]: Taking taylor expansion of (pow U 2) in U
6.606 * [taylor]: Taking taylor expansion of U in U
6.606 * [backup-simplify]: Simplify 0 into 0
6.606 * [backup-simplify]: Simplify 1 into 1
6.606 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
6.606 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
6.606 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
6.606 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
6.606 * [taylor]: Taking taylor expansion of 1/2 in U
6.606 * [backup-simplify]: Simplify 1/2 into 1/2
6.606 * [taylor]: Taking taylor expansion of K in U
6.606 * [backup-simplify]: Simplify K into K
6.607 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
6.607 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
6.607 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
6.607 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
6.607 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
6.607 * [backup-simplify]: Simplify (- 0) into 0
6.607 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
6.607 * [taylor]: Taking taylor expansion of (pow J 2) in U
6.607 * [taylor]: Taking taylor expansion of J in U
6.607 * [backup-simplify]: Simplify J into J
6.608 * [backup-simplify]: Simplify (* 1 1) into 1
6.608 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
6.608 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.608 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
6.608 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
6.608 * [taylor]: Taking taylor expansion of 1 in U
6.608 * [backup-simplify]: Simplify 1 into 1
6.609 * [backup-simplify]: Simplify (+ 0 1) into 1
6.609 * [backup-simplify]: Simplify (sqrt 1) into 1
6.610 * [backup-simplify]: Simplify (+ 0 0) into 0
6.610 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.610 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
6.610 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
6.610 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
6.610 * [taylor]: Taking taylor expansion of 1/4 in U
6.611 * [backup-simplify]: Simplify 1/4 into 1/4
6.611 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
6.611 * [taylor]: Taking taylor expansion of (pow U 2) in U
6.611 * [taylor]: Taking taylor expansion of U in U
6.611 * [backup-simplify]: Simplify 0 into 0
6.611 * [backup-simplify]: Simplify 1 into 1
6.611 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
6.611 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
6.611 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
6.611 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
6.611 * [taylor]: Taking taylor expansion of 1/2 in U
6.611 * [backup-simplify]: Simplify 1/2 into 1/2
6.611 * [taylor]: Taking taylor expansion of K in U
6.611 * [backup-simplify]: Simplify K into K
6.611 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
6.611 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
6.611 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
6.611 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
6.611 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
6.612 * [backup-simplify]: Simplify (- 0) into 0
6.612 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
6.612 * [taylor]: Taking taylor expansion of (pow J 2) in U
6.612 * [taylor]: Taking taylor expansion of J in U
6.612 * [backup-simplify]: Simplify J into J
6.612 * [backup-simplify]: Simplify (* 1 1) into 1
6.612 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
6.612 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.613 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
6.613 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
6.613 * [taylor]: Taking taylor expansion of 1 in U
6.613 * [backup-simplify]: Simplify 1 into 1
6.613 * [backup-simplify]: Simplify (+ 0 1) into 1
6.614 * [backup-simplify]: Simplify (sqrt 1) into 1
6.614 * [backup-simplify]: Simplify (+ 0 0) into 0
6.615 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.615 * [taylor]: Taking taylor expansion of 1 in K
6.615 * [backup-simplify]: Simplify 1 into 1
6.615 * [taylor]: Taking taylor expansion of 1 in J
6.615 * [backup-simplify]: Simplify 1 into 1
6.615 * [taylor]: Taking taylor expansion of 0 in K
6.615 * [backup-simplify]: Simplify 0 into 0
6.615 * [taylor]: Taking taylor expansion of 0 in J
6.615 * [backup-simplify]: Simplify 0 into 0
6.615 * [taylor]: Taking taylor expansion of 0 in J
6.615 * [backup-simplify]: Simplify 0 into 0
6.615 * [backup-simplify]: Simplify 1 into 1
6.616 * [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)))
6.616 * [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))))
6.617 * [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)))
6.618 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
6.618 * [taylor]: Taking taylor expansion of 1/8 in K
6.618 * [backup-simplify]: Simplify 1/8 into 1/8
6.618 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
6.618 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
6.618 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
6.618 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
6.618 * [taylor]: Taking taylor expansion of 1/2 in K
6.618 * [backup-simplify]: Simplify 1/2 into 1/2
6.618 * [taylor]: Taking taylor expansion of K in K
6.618 * [backup-simplify]: Simplify 0 into 0
6.618 * [backup-simplify]: Simplify 1 into 1
6.618 * [backup-simplify]: Simplify (* 1/2 0) into 0
6.619 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
6.619 * [taylor]: Taking taylor expansion of (pow J 2) in K
6.619 * [taylor]: Taking taylor expansion of J in K
6.619 * [backup-simplify]: Simplify J into J
6.619 * [backup-simplify]: Simplify (* 1 1) into 1
6.620 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.620 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
6.620 * [backup-simplify]: Simplify (/ 1/8 (pow J 2)) into (/ 1/8 (pow J 2))
6.620 * [taylor]: Taking taylor expansion of (/ 1/8 (pow J 2)) in J
6.620 * [taylor]: Taking taylor expansion of 1/8 in J
6.620 * [backup-simplify]: Simplify 1/8 into 1/8
6.620 * [taylor]: Taking taylor expansion of (pow J 2) in J
6.620 * [taylor]: Taking taylor expansion of J in J
6.620 * [backup-simplify]: Simplify 0 into 0
6.620 * [backup-simplify]: Simplify 1 into 1
6.620 * [backup-simplify]: Simplify (* 1 1) into 1
6.621 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8
6.621 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.622 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0
6.622 * [backup-simplify]: Simplify 0 into 0
6.622 * [taylor]: Taking taylor expansion of 0 in J
6.622 * [backup-simplify]: Simplify 0 into 0
6.622 * [taylor]: Taking taylor expansion of 0 in J
6.622 * [backup-simplify]: Simplify 0 into 0
6.622 * [backup-simplify]: Simplify 0 into 0
6.622 * [backup-simplify]: Simplify 0 into 0
6.622 * [backup-simplify]: Simplify 0 into 0
6.623 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.623 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.623 * [backup-simplify]: Simplify (+ 0) into 0
6.624 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
6.624 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
6.624 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.625 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
6.625 * [backup-simplify]: Simplify (- 0) into 0
6.625 * [backup-simplify]: Simplify (+ 0 0) into 0
6.625 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
6.625 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0
6.626 * [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
6.626 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0
6.626 * [backup-simplify]: Simplify (+ 0 0) into 0
6.627 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0
6.627 * [taylor]: Taking taylor expansion of 0 in K
6.627 * [backup-simplify]: Simplify 0 into 0
6.627 * [taylor]: Taking taylor expansion of 0 in J
6.627 * [backup-simplify]: Simplify 0 into 0
6.627 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.627 * [backup-simplify]: Simplify (+ 0) into 0
6.628 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.628 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
6.628 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/8 (pow J 2)) (/ 0 (pow J 2))))) into 0
6.628 * [taylor]: Taking taylor expansion of 0 in J
6.628 * [backup-simplify]: Simplify 0 into 0
6.628 * [taylor]: Taking taylor expansion of 0 in J
6.628 * [backup-simplify]: Simplify 0 into 0
6.628 * [taylor]: Taking taylor expansion of 0 in J
6.628 * [backup-simplify]: Simplify 0 into 0
6.629 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.629 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.629 * [backup-simplify]: Simplify 0 into 0
6.629 * [backup-simplify]: Simplify 0 into 0
6.629 * [backup-simplify]: Simplify 1 into 1
6.630 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* (cos (/ (/ 1 K) 2)) (* 2 (/ 1 J)))) (/ (/ 1 U) (* (cos (/ (/ 1 K) 2)) (* 2 (/ 1 J))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
6.630 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U K J) around 0
6.630 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
6.630 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
6.630 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
6.630 * [taylor]: Taking taylor expansion of 1/4 in J
6.630 * [backup-simplify]: Simplify 1/4 into 1/4
6.630 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
6.630 * [taylor]: Taking taylor expansion of (pow J 2) in J
6.630 * [taylor]: Taking taylor expansion of J in J
6.630 * [backup-simplify]: Simplify 0 into 0
6.630 * [backup-simplify]: Simplify 1 into 1
6.630 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
6.630 * [taylor]: Taking taylor expansion of (pow U 2) in J
6.630 * [taylor]: Taking taylor expansion of U in J
6.630 * [backup-simplify]: Simplify U into U
6.630 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
6.630 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
6.630 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
6.630 * [taylor]: Taking taylor expansion of 1/2 in J
6.630 * [backup-simplify]: Simplify 1/2 into 1/2
6.630 * [taylor]: Taking taylor expansion of K in J
6.630 * [backup-simplify]: Simplify K into K
6.630 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
6.630 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.630 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
6.630 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
6.630 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
6.631 * [backup-simplify]: Simplify (- 0) into 0
6.631 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
6.631 * [backup-simplify]: Simplify (* 1 1) into 1
6.631 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.631 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
6.631 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
6.631 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
6.631 * [taylor]: Taking taylor expansion of 1 in J
6.631 * [backup-simplify]: Simplify 1 into 1
6.632 * [backup-simplify]: Simplify (+ 0 1) into 1
6.632 * [backup-simplify]: Simplify (sqrt 1) into 1
6.634 * [backup-simplify]: Simplify (+ 0 0) into 0
6.634 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.634 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K
6.634 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K
6.634 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
6.634 * [taylor]: Taking taylor expansion of 1/4 in K
6.634 * [backup-simplify]: Simplify 1/4 into 1/4
6.634 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
6.634 * [taylor]: Taking taylor expansion of (pow J 2) in K
6.634 * [taylor]: Taking taylor expansion of J in K
6.635 * [backup-simplify]: Simplify J into J
6.635 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
6.635 * [taylor]: Taking taylor expansion of (pow U 2) in K
6.635 * [taylor]: Taking taylor expansion of U in K
6.635 * [backup-simplify]: Simplify U into U
6.635 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
6.635 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
6.635 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
6.635 * [taylor]: Taking taylor expansion of 1/2 in K
6.635 * [backup-simplify]: Simplify 1/2 into 1/2
6.635 * [taylor]: Taking taylor expansion of K in K
6.635 * [backup-simplify]: Simplify 0 into 0
6.635 * [backup-simplify]: Simplify 1 into 1
6.635 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.635 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.635 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.635 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.635 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
6.635 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
6.636 * [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)))
6.636 * [taylor]: Taking taylor expansion of 1 in K
6.636 * [backup-simplify]: Simplify 1 into 1
6.636 * [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))))
6.636 * [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)
6.636 * [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))
6.636 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.636 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
6.636 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
6.637 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
6.637 * [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
6.637 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
6.638 * [backup-simplify]: Simplify (+ 0 0) into 0
6.638 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
6.638 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
6.638 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
6.638 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
6.638 * [taylor]: Taking taylor expansion of 1/4 in U
6.638 * [backup-simplify]: Simplify 1/4 into 1/4
6.638 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
6.638 * [taylor]: Taking taylor expansion of (pow J 2) in U
6.638 * [taylor]: Taking taylor expansion of J in U
6.638 * [backup-simplify]: Simplify J into J
6.638 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
6.638 * [taylor]: Taking taylor expansion of (pow U 2) in U
6.638 * [taylor]: Taking taylor expansion of U in U
6.638 * [backup-simplify]: Simplify 0 into 0
6.638 * [backup-simplify]: Simplify 1 into 1
6.638 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
6.638 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
6.638 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
6.638 * [taylor]: Taking taylor expansion of 1/2 in U
6.638 * [backup-simplify]: Simplify 1/2 into 1/2
6.638 * [taylor]: Taking taylor expansion of K in U
6.638 * [backup-simplify]: Simplify K into K
6.638 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
6.638 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.638 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
6.638 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
6.638 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
6.639 * [backup-simplify]: Simplify (- 0) into 0
6.639 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
6.639 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.639 * [backup-simplify]: Simplify (* 1 1) into 1
6.639 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
6.639 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
6.639 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
6.639 * [taylor]: Taking taylor expansion of 1 in U
6.639 * [backup-simplify]: Simplify 1 into 1
6.639 * [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)))
6.640 * [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)))
6.640 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
6.640 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.640 * [backup-simplify]: Simplify (+ 0) into 0
6.640 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
6.641 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
6.641 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.641 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
6.641 * [backup-simplify]: Simplify (- 0) into 0
6.642 * [backup-simplify]: Simplify (+ 0 0) into 0
6.642 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
6.642 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.643 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
6.643 * [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
6.643 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
6.643 * [backup-simplify]: Simplify (+ 0 0) into 0
6.644 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
6.644 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
6.644 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
6.644 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
6.644 * [taylor]: Taking taylor expansion of 1/4 in U
6.644 * [backup-simplify]: Simplify 1/4 into 1/4
6.644 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
6.644 * [taylor]: Taking taylor expansion of (pow J 2) in U
6.644 * [taylor]: Taking taylor expansion of J in U
6.644 * [backup-simplify]: Simplify J into J
6.644 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
6.644 * [taylor]: Taking taylor expansion of (pow U 2) in U
6.644 * [taylor]: Taking taylor expansion of U in U
6.644 * [backup-simplify]: Simplify 0 into 0
6.644 * [backup-simplify]: Simplify 1 into 1
6.644 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
6.644 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
6.644 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
6.644 * [taylor]: Taking taylor expansion of 1/2 in U
6.644 * [backup-simplify]: Simplify 1/2 into 1/2
6.644 * [taylor]: Taking taylor expansion of K in U
6.644 * [backup-simplify]: Simplify K into K
6.644 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
6.644 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.644 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
6.644 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
6.644 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
6.644 * [backup-simplify]: Simplify (- 0) into 0
6.644 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
6.645 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.645 * [backup-simplify]: Simplify (* 1 1) into 1
6.645 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
6.645 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
6.645 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
6.645 * [taylor]: Taking taylor expansion of 1 in U
6.645 * [backup-simplify]: Simplify 1 into 1
6.645 * [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)))
6.645 * [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)))
6.645 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
6.646 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.646 * [backup-simplify]: Simplify (+ 0) into 0
6.646 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
6.646 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
6.647 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.647 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
6.647 * [backup-simplify]: Simplify (- 0) into 0
6.647 * [backup-simplify]: Simplify (+ 0 0) into 0
6.648 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
6.648 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.648 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
6.648 * [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
6.649 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
6.649 * [backup-simplify]: Simplify (+ 0 0) into 0
6.649 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
6.649 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in K
6.649 * [taylor]: Taking taylor expansion of 1/2 in K
6.649 * [backup-simplify]: Simplify 1/2 into 1/2
6.649 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in K
6.649 * [taylor]: Taking taylor expansion of J in K
6.649 * [backup-simplify]: Simplify J into J
6.649 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
6.649 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
6.649 * [taylor]: Taking taylor expansion of 1/2 in K
6.649 * [backup-simplify]: Simplify 1/2 into 1/2
6.649 * [taylor]: Taking taylor expansion of K in K
6.650 * [backup-simplify]: Simplify 0 into 0
6.650 * [backup-simplify]: Simplify 1 into 1
6.650 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.650 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.650 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K)))
6.650 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
6.650 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J
6.650 * [taylor]: Taking taylor expansion of 1/2 in J
6.650 * [backup-simplify]: Simplify 1/2 into 1/2
6.650 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J
6.650 * [taylor]: Taking taylor expansion of J in J
6.650 * [backup-simplify]: Simplify 0 into 0
6.650 * [backup-simplify]: Simplify 1 into 1
6.650 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
6.650 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
6.650 * [taylor]: Taking taylor expansion of 1/2 in J
6.650 * [backup-simplify]: Simplify 1/2 into 1/2
6.650 * [taylor]: Taking taylor expansion of K in J
6.650 * [backup-simplify]: Simplify K into K
6.650 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
6.650 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.650 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
6.650 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
6.650 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
6.651 * [backup-simplify]: Simplify (- 0) into 0
6.651 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
6.651 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K)))
6.651 * [taylor]: Taking taylor expansion of 0 in K
6.651 * [backup-simplify]: Simplify 0 into 0
6.651 * [taylor]: Taking taylor expansion of 0 in J
6.651 * [backup-simplify]: Simplify 0 into 0
6.651 * [backup-simplify]: Simplify 0 into 0
6.651 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
6.652 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0
6.652 * [taylor]: Taking taylor expansion of 0 in J
6.652 * [backup-simplify]: Simplify 0 into 0
6.652 * [backup-simplify]: Simplify 0 into 0
6.652 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K)))
6.652 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
6.653 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
6.653 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.654 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
6.654 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
6.655 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.656 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
6.656 * [backup-simplify]: Simplify (- 0) into 0
6.656 * [backup-simplify]: Simplify (+ 0 0) into 0
6.657 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
6.658 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.659 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
6.659 * [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
6.660 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0
6.661 * [backup-simplify]: Simplify (+ 0 1) into 1
6.661 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J)
6.661 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K
6.661 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
6.661 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
6.662 * [taylor]: Taking taylor expansion of 1/2 in K
6.662 * [backup-simplify]: Simplify 1/2 into 1/2
6.662 * [taylor]: Taking taylor expansion of K in K
6.662 * [backup-simplify]: Simplify 0 into 0
6.662 * [backup-simplify]: Simplify 1 into 1
6.662 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.662 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.662 * [taylor]: Taking taylor expansion of J in K
6.662 * [backup-simplify]: Simplify J into J
6.662 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
6.662 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
6.662 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
6.662 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
6.662 * [taylor]: Taking taylor expansion of 1/2 in J
6.662 * [backup-simplify]: Simplify 1/2 into 1/2
6.662 * [taylor]: Taking taylor expansion of K in J
6.663 * [backup-simplify]: Simplify K into K
6.663 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
6.663 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.663 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
6.663 * [taylor]: Taking taylor expansion of J in J
6.663 * [backup-simplify]: Simplify 0 into 0
6.663 * [backup-simplify]: Simplify 1 into 1
6.663 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
6.663 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
6.663 * [backup-simplify]: Simplify (- 0) into 0
6.663 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
6.664 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
6.664 * [backup-simplify]: Simplify (+ 0) into 0
6.665 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
6.665 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
6.666 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.666 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
6.666 * [backup-simplify]: Simplify (- 0) into 0
6.667 * [backup-simplify]: Simplify (+ 0 0) into 0
6.668 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0
6.668 * [backup-simplify]: Simplify 0 into 0
6.668 * [taylor]: Taking taylor expansion of 0 in J
6.668 * [backup-simplify]: Simplify 0 into 0
6.668 * [backup-simplify]: Simplify 0 into 0
6.668 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0
6.669 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0
6.669 * [taylor]: Taking taylor expansion of 0 in J
6.669 * [backup-simplify]: Simplify 0 into 0
6.669 * [backup-simplify]: Simplify 0 into 0
6.669 * [backup-simplify]: Simplify 0 into 0
6.669 * [backup-simplify]: Simplify 0 into 0
6.670 * [backup-simplify]: Simplify (+ 0) into 0
6.670 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
6.670 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
6.671 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.672 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
6.672 * [backup-simplify]: Simplify (- 0) into 0
6.673 * [backup-simplify]: Simplify (+ 0 0) into 0
6.673 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
6.673 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0
6.673 * [backup-simplify]: Simplify 0 into 0
6.674 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* (/ 1 J) (* 1 (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
6.674 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J))))) (/ (/ 1 (- U)) (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J)))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))
6.674 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U K J) around 0
6.674 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
6.674 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
6.674 * [taylor]: Taking taylor expansion of 1 in J
6.674 * [backup-simplify]: Simplify 1 into 1
6.674 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
6.675 * [taylor]: Taking taylor expansion of 1/4 in J
6.675 * [backup-simplify]: Simplify 1/4 into 1/4
6.675 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
6.675 * [taylor]: Taking taylor expansion of (pow J 2) in J
6.675 * [taylor]: Taking taylor expansion of J in J
6.675 * [backup-simplify]: Simplify 0 into 0
6.675 * [backup-simplify]: Simplify 1 into 1
6.675 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
6.675 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
6.675 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
6.675 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
6.675 * [taylor]: Taking taylor expansion of -1/2 in J
6.675 * [backup-simplify]: Simplify -1/2 into -1/2
6.675 * [taylor]: Taking taylor expansion of K in J
6.675 * [backup-simplify]: Simplify K into K
6.675 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
6.675 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.675 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
6.675 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.675 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
6.676 * [backup-simplify]: Simplify (- 0) into 0
6.676 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
6.676 * [taylor]: Taking taylor expansion of (pow U 2) in J
6.676 * [taylor]: Taking taylor expansion of U in J
6.676 * [backup-simplify]: Simplify U into U
6.676 * [backup-simplify]: Simplify (* 1 1) into 1
6.676 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
6.677 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.677 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
6.677 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
6.677 * [backup-simplify]: Simplify (+ 1 0) into 1
6.678 * [backup-simplify]: Simplify (sqrt 1) into 1
6.678 * [backup-simplify]: Simplify (+ 0 0) into 0
6.679 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.679 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K
6.679 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K
6.679 * [taylor]: Taking taylor expansion of 1 in K
6.679 * [backup-simplify]: Simplify 1 into 1
6.679 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
6.679 * [taylor]: Taking taylor expansion of 1/4 in K
6.679 * [backup-simplify]: Simplify 1/4 into 1/4
6.679 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
6.679 * [taylor]: Taking taylor expansion of (pow J 2) in K
6.679 * [taylor]: Taking taylor expansion of J in K
6.679 * [backup-simplify]: Simplify J into J
6.679 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
6.679 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
6.679 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
6.679 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
6.679 * [taylor]: Taking taylor expansion of -1/2 in K
6.679 * [backup-simplify]: Simplify -1/2 into -1/2
6.679 * [taylor]: Taking taylor expansion of K in K
6.679 * [backup-simplify]: Simplify 0 into 0
6.679 * [backup-simplify]: Simplify 1 into 1
6.680 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
6.680 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.680 * [taylor]: Taking taylor expansion of (pow U 2) in K
6.680 * [taylor]: Taking taylor expansion of U in K
6.680 * [backup-simplify]: Simplify U into U
6.680 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.680 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
6.680 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.680 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
6.681 * [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)))
6.681 * [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))))
6.681 * [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)))))
6.682 * [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))))))
6.682 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.682 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
6.682 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
6.682 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
6.683 * [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
6.684 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
6.684 * [backup-simplify]: Simplify (+ 0 0) into 0
6.684 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0
6.684 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
6.685 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
6.685 * [taylor]: Taking taylor expansion of 1 in U
6.685 * [backup-simplify]: Simplify 1 into 1
6.685 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
6.685 * [taylor]: Taking taylor expansion of 1/4 in U
6.685 * [backup-simplify]: Simplify 1/4 into 1/4
6.685 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
6.685 * [taylor]: Taking taylor expansion of (pow J 2) in U
6.685 * [taylor]: Taking taylor expansion of J in U
6.685 * [backup-simplify]: Simplify J into J
6.685 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
6.685 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
6.685 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
6.685 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
6.685 * [taylor]: Taking taylor expansion of -1/2 in U
6.685 * [backup-simplify]: Simplify -1/2 into -1/2
6.685 * [taylor]: Taking taylor expansion of K in U
6.685 * [backup-simplify]: Simplify K into K
6.685 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
6.685 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.685 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
6.685 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.685 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
6.686 * [backup-simplify]: Simplify (- 0) into 0
6.686 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
6.686 * [taylor]: Taking taylor expansion of (pow U 2) in U
6.686 * [taylor]: Taking taylor expansion of U in U
6.686 * [backup-simplify]: Simplify 0 into 0
6.686 * [backup-simplify]: Simplify 1 into 1
6.686 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.686 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
6.687 * [backup-simplify]: Simplify (* 1 1) into 1
6.687 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
6.687 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
6.687 * [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)))
6.687 * [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)))
6.688 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
6.688 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.688 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.689 * [backup-simplify]: Simplify (+ 0) into 0
6.689 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
6.689 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
6.690 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.690 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
6.691 * [backup-simplify]: Simplify (- 0) into 0
6.691 * [backup-simplify]: Simplify (+ 0 0) into 0
6.691 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
6.692 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
6.692 * [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
6.693 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
6.693 * [backup-simplify]: Simplify (+ 0 0) into 0
6.693 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
6.693 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
6.693 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
6.693 * [taylor]: Taking taylor expansion of 1 in U
6.693 * [backup-simplify]: Simplify 1 into 1
6.693 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
6.693 * [taylor]: Taking taylor expansion of 1/4 in U
6.693 * [backup-simplify]: Simplify 1/4 into 1/4
6.693 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
6.693 * [taylor]: Taking taylor expansion of (pow J 2) in U
6.693 * [taylor]: Taking taylor expansion of J in U
6.693 * [backup-simplify]: Simplify J into J
6.694 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
6.694 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
6.694 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
6.694 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
6.694 * [taylor]: Taking taylor expansion of -1/2 in U
6.694 * [backup-simplify]: Simplify -1/2 into -1/2
6.694 * [taylor]: Taking taylor expansion of K in U
6.694 * [backup-simplify]: Simplify K into K
6.694 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
6.694 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.694 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
6.694 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.694 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
6.694 * [backup-simplify]: Simplify (- 0) into 0
6.694 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
6.695 * [taylor]: Taking taylor expansion of (pow U 2) in U
6.695 * [taylor]: Taking taylor expansion of U in U
6.695 * [backup-simplify]: Simplify 0 into 0
6.695 * [backup-simplify]: Simplify 1 into 1
6.695 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.695 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
6.695 * [backup-simplify]: Simplify (* 1 1) into 1
6.695 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
6.695 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
6.696 * [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)))
6.696 * [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)))
6.696 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
6.696 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.697 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.697 * [backup-simplify]: Simplify (+ 0) into 0
6.698 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
6.698 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
6.699 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.699 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
6.699 * [backup-simplify]: Simplify (- 0) into 0
6.700 * [backup-simplify]: Simplify (+ 0 0) into 0
6.700 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
6.700 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
6.701 * [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
6.701 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
6.702 * [backup-simplify]: Simplify (+ 0 0) into 0
6.702 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
6.702 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in K
6.702 * [taylor]: Taking taylor expansion of 1/2 in K
6.702 * [backup-simplify]: Simplify 1/2 into 1/2
6.702 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in K
6.702 * [taylor]: Taking taylor expansion of J in K
6.702 * [backup-simplify]: Simplify J into J
6.702 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
6.702 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
6.702 * [taylor]: Taking taylor expansion of -1/2 in K
6.702 * [backup-simplify]: Simplify -1/2 into -1/2
6.702 * [taylor]: Taking taylor expansion of K in K
6.702 * [backup-simplify]: Simplify 0 into 0
6.702 * [backup-simplify]: Simplify 1 into 1
6.703 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
6.703 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.703 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K)))
6.703 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
6.703 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J
6.703 * [taylor]: Taking taylor expansion of 1/2 in J
6.703 * [backup-simplify]: Simplify 1/2 into 1/2
6.703 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J
6.703 * [taylor]: Taking taylor expansion of J in J
6.703 * [backup-simplify]: Simplify 0 into 0
6.703 * [backup-simplify]: Simplify 1 into 1
6.703 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
6.703 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
6.703 * [taylor]: Taking taylor expansion of -1/2 in J
6.703 * [backup-simplify]: Simplify -1/2 into -1/2
6.703 * [taylor]: Taking taylor expansion of K in J
6.704 * [backup-simplify]: Simplify K into K
6.704 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
6.704 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.704 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
6.704 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.704 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
6.704 * [backup-simplify]: Simplify (- 0) into 0
6.704 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
6.704 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K)))
6.704 * [taylor]: Taking taylor expansion of 0 in K
6.705 * [backup-simplify]: Simplify 0 into 0
6.705 * [taylor]: Taking taylor expansion of 0 in J
6.705 * [backup-simplify]: Simplify 0 into 0
6.705 * [backup-simplify]: Simplify 0 into 0
6.705 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
6.705 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0
6.705 * [taylor]: Taking taylor expansion of 0 in J
6.705 * [backup-simplify]: Simplify 0 into 0
6.705 * [backup-simplify]: Simplify 0 into 0
6.706 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K)))
6.706 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
6.706 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
6.707 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.708 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.709 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
6.709 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
6.709 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.710 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
6.710 * [backup-simplify]: Simplify (- 0) into 0
6.711 * [backup-simplify]: Simplify (+ 0 0) into 0
6.711 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
6.712 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
6.712 * [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
6.713 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0
6.714 * [backup-simplify]: Simplify (+ 1 0) into 1
6.715 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J)
6.715 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K
6.715 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
6.715 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
6.715 * [taylor]: Taking taylor expansion of -1/2 in K
6.715 * [backup-simplify]: Simplify -1/2 into -1/2
6.715 * [taylor]: Taking taylor expansion of K in K
6.715 * [backup-simplify]: Simplify 0 into 0
6.715 * [backup-simplify]: Simplify 1 into 1
6.716 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
6.716 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.716 * [taylor]: Taking taylor expansion of J in K
6.716 * [backup-simplify]: Simplify J into J
6.716 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
6.716 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
6.716 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
6.716 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
6.716 * [taylor]: Taking taylor expansion of -1/2 in J
6.716 * [backup-simplify]: Simplify -1/2 into -1/2
6.716 * [taylor]: Taking taylor expansion of K in J
6.716 * [backup-simplify]: Simplify K into K
6.716 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
6.716 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.716 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
6.716 * [taylor]: Taking taylor expansion of J in J
6.716 * [backup-simplify]: Simplify 0 into 0
6.716 * [backup-simplify]: Simplify 1 into 1
6.717 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.717 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
6.717 * [backup-simplify]: Simplify (- 0) into 0
6.717 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
6.717 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.718 * [backup-simplify]: Simplify (+ 0) into 0
6.718 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
6.718 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
6.719 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.720 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
6.720 * [backup-simplify]: Simplify (- 0) into 0
6.720 * [backup-simplify]: Simplify (+ 0 0) into 0
6.721 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0
6.721 * [backup-simplify]: Simplify 0 into 0
6.721 * [taylor]: Taking taylor expansion of 0 in J
6.721 * [backup-simplify]: Simplify 0 into 0
6.721 * [backup-simplify]: Simplify 0 into 0
6.722 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0
6.723 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0
6.723 * [taylor]: Taking taylor expansion of 0 in J
6.723 * [backup-simplify]: Simplify 0 into 0
6.723 * [backup-simplify]: Simplify 0 into 0
6.723 * [backup-simplify]: Simplify 0 into 0
6.723 * [backup-simplify]: Simplify 0 into 0
6.723 * [backup-simplify]: Simplify (+ 0) into 0
6.724 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
6.724 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
6.724 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.725 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
6.725 * [backup-simplify]: Simplify (- 0) into 0
6.726 * [backup-simplify]: Simplify (+ 0 0) into 0
6.726 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
6.726 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0
6.726 * [backup-simplify]: Simplify 0 into 0
6.727 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (- J)) (* 1 (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
6.727 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 2)
6.727 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))
6.727 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U K J) around 0
6.727 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J
6.727 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J
6.727 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
6.727 * [taylor]: Taking taylor expansion of 1/4 in J
6.727 * [backup-simplify]: Simplify 1/4 into 1/4
6.727 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
6.727 * [taylor]: Taking taylor expansion of (pow U 2) in J
6.728 * [taylor]: Taking taylor expansion of U in J
6.728 * [backup-simplify]: Simplify U into U
6.728 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
6.728 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
6.728 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
6.728 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
6.728 * [taylor]: Taking taylor expansion of 1/2 in J
6.728 * [backup-simplify]: Simplify 1/2 into 1/2
6.728 * [taylor]: Taking taylor expansion of K in J
6.728 * [backup-simplify]: Simplify K into K
6.728 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
6.728 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
6.728 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
6.728 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
6.728 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
6.729 * [backup-simplify]: Simplify (- 0) into 0
6.729 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
6.729 * [taylor]: Taking taylor expansion of (pow J 2) in J
6.729 * [taylor]: Taking taylor expansion of J in J
6.729 * [backup-simplify]: Simplify 0 into 0
6.729 * [backup-simplify]: Simplify 1 into 1
6.729 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.729 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
6.730 * [backup-simplify]: Simplify (* 1 1) into 1
6.730 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
6.730 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
6.730 * [taylor]: Taking taylor expansion of 1 in J
6.730 * [backup-simplify]: Simplify 1 into 1
6.730 * [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)))
6.730 * [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)))
6.731 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
6.731 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
6.731 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.732 * [backup-simplify]: Simplify (+ 0) into 0
6.732 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
6.732 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
6.733 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.733 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
6.734 * [backup-simplify]: Simplify (- 0) into 0
6.734 * [backup-simplify]: Simplify (+ 0 0) into 0
6.734 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
6.735 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
6.735 * [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
6.736 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0
6.736 * [backup-simplify]: Simplify (+ 0 0) into 0
6.736 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
6.736 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K
6.737 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K
6.737 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
6.737 * [taylor]: Taking taylor expansion of 1/4 in K
6.737 * [backup-simplify]: Simplify 1/4 into 1/4
6.737 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
6.737 * [taylor]: Taking taylor expansion of (pow U 2) in K
6.737 * [taylor]: Taking taylor expansion of U in K
6.737 * [backup-simplify]: Simplify U into U
6.737 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
6.737 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
6.737 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
6.737 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
6.737 * [taylor]: Taking taylor expansion of 1/2 in K
6.737 * [backup-simplify]: Simplify 1/2 into 1/2
6.737 * [taylor]: Taking taylor expansion of K in K
6.737 * [backup-simplify]: Simplify 0 into 0
6.737 * [backup-simplify]: Simplify 1 into 1
6.737 * [backup-simplify]: Simplify (* 1/2 0) into 0
6.738 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
6.738 * [taylor]: Taking taylor expansion of (pow J 2) in K
6.738 * [taylor]: Taking taylor expansion of J in K
6.738 * [backup-simplify]: Simplify J into J
6.738 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.738 * [backup-simplify]: Simplify (* 1 1) into 1
6.739 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.739 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
6.739 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
6.739 * [taylor]: Taking taylor expansion of 1 in K
6.739 * [backup-simplify]: Simplify 1 into 1
6.739 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2)))
6.739 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
6.739 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
6.739 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
6.740 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.740 * [backup-simplify]: Simplify (+ 0) into 0
6.740 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.741 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
6.741 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
6.742 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0
6.742 * [backup-simplify]: Simplify (+ 0 0) into 0
6.742 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
6.742 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
6.742 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
6.742 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
6.742 * [taylor]: Taking taylor expansion of 1/4 in U
6.742 * [backup-simplify]: Simplify 1/4 into 1/4
6.743 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
6.743 * [taylor]: Taking taylor expansion of (pow U 2) in U
6.743 * [taylor]: Taking taylor expansion of U in U
6.743 * [backup-simplify]: Simplify 0 into 0
6.743 * [backup-simplify]: Simplify 1 into 1
6.743 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
6.743 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
6.743 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
6.743 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
6.743 * [taylor]: Taking taylor expansion of 1/2 in U
6.743 * [backup-simplify]: Simplify 1/2 into 1/2
6.743 * [taylor]: Taking taylor expansion of K in U
6.743 * [backup-simplify]: Simplify K into K
6.743 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
6.743 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
6.743 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
6.743 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
6.743 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
6.744 * [backup-simplify]: Simplify (- 0) into 0
6.744 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
6.744 * [taylor]: Taking taylor expansion of (pow J 2) in U
6.744 * [taylor]: Taking taylor expansion of J in U
6.744 * [backup-simplify]: Simplify J into J
6.744 * [backup-simplify]: Simplify (* 1 1) into 1
6.744 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
6.744 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.744 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
6.745 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
6.745 * [taylor]: Taking taylor expansion of 1 in U
6.745 * [backup-simplify]: Simplify 1 into 1
6.745 * [backup-simplify]: Simplify (+ 0 1) into 1
6.745 * [backup-simplify]: Simplify (sqrt 1) into 1
6.746 * [backup-simplify]: Simplify (+ 0 0) into 0
6.746 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.746 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
6.746 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
6.746 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
6.747 * [taylor]: Taking taylor expansion of 1/4 in U
6.747 * [backup-simplify]: Simplify 1/4 into 1/4
6.747 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
6.747 * [taylor]: Taking taylor expansion of (pow U 2) in U
6.747 * [taylor]: Taking taylor expansion of U in U
6.747 * [backup-simplify]: Simplify 0 into 0
6.747 * [backup-simplify]: Simplify 1 into 1
6.747 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
6.747 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
6.747 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
6.747 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
6.747 * [taylor]: Taking taylor expansion of 1/2 in U
6.747 * [backup-simplify]: Simplify 1/2 into 1/2
6.747 * [taylor]: Taking taylor expansion of K in U
6.747 * [backup-simplify]: Simplify K into K
6.747 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
6.747 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
6.747 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
6.747 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
6.747 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
6.748 * [backup-simplify]: Simplify (- 0) into 0
6.748 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
6.748 * [taylor]: Taking taylor expansion of (pow J 2) in U
6.748 * [taylor]: Taking taylor expansion of J in U
6.748 * [backup-simplify]: Simplify J into J
6.748 * [backup-simplify]: Simplify (* 1 1) into 1
6.748 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
6.748 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.748 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
6.749 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
6.749 * [taylor]: Taking taylor expansion of 1 in U
6.749 * [backup-simplify]: Simplify 1 into 1
6.749 * [backup-simplify]: Simplify (+ 0 1) into 1
6.749 * [backup-simplify]: Simplify (sqrt 1) into 1
6.750 * [backup-simplify]: Simplify (+ 0 0) into 0
6.750 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.750 * [taylor]: Taking taylor expansion of 1 in K
6.750 * [backup-simplify]: Simplify 1 into 1
6.750 * [taylor]: Taking taylor expansion of 1 in J
6.750 * [backup-simplify]: Simplify 1 into 1
6.751 * [taylor]: Taking taylor expansion of 0 in K
6.751 * [backup-simplify]: Simplify 0 into 0
6.751 * [taylor]: Taking taylor expansion of 0 in J
6.751 * [backup-simplify]: Simplify 0 into 0
6.751 * [taylor]: Taking taylor expansion of 0 in J
6.751 * [backup-simplify]: Simplify 0 into 0
6.751 * [backup-simplify]: Simplify 1 into 1
6.751 * [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)))
6.751 * [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))))
6.752 * [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)))
6.752 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
6.752 * [taylor]: Taking taylor expansion of 1/8 in K
6.752 * [backup-simplify]: Simplify 1/8 into 1/8
6.753 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
6.753 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
6.753 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
6.753 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
6.753 * [taylor]: Taking taylor expansion of 1/2 in K
6.753 * [backup-simplify]: Simplify 1/2 into 1/2
6.753 * [taylor]: Taking taylor expansion of K in K
6.753 * [backup-simplify]: Simplify 0 into 0
6.753 * [backup-simplify]: Simplify 1 into 1
6.753 * [backup-simplify]: Simplify (* 1/2 0) into 0
6.754 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
6.754 * [taylor]: Taking taylor expansion of (pow J 2) in K
6.754 * [taylor]: Taking taylor expansion of J in K
6.754 * [backup-simplify]: Simplify J into J
6.754 * [backup-simplify]: Simplify (* 1 1) into 1
6.754 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.754 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
6.754 * [backup-simplify]: Simplify (/ 1/8 (pow J 2)) into (/ 1/8 (pow J 2))
6.754 * [taylor]: Taking taylor expansion of (/ 1/8 (pow J 2)) in J
6.754 * [taylor]: Taking taylor expansion of 1/8 in J
6.754 * [backup-simplify]: Simplify 1/8 into 1/8
6.755 * [taylor]: Taking taylor expansion of (pow J 2) in J
6.755 * [taylor]: Taking taylor expansion of J in J
6.755 * [backup-simplify]: Simplify 0 into 0
6.755 * [backup-simplify]: Simplify 1 into 1
6.755 * [backup-simplify]: Simplify (* 1 1) into 1
6.755 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8
6.756 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.757 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0
6.757 * [backup-simplify]: Simplify 0 into 0
6.757 * [taylor]: Taking taylor expansion of 0 in J
6.757 * [backup-simplify]: Simplify 0 into 0
6.757 * [taylor]: Taking taylor expansion of 0 in J
6.757 * [backup-simplify]: Simplify 0 into 0
6.757 * [backup-simplify]: Simplify 0 into 0
6.757 * [backup-simplify]: Simplify 0 into 0
6.757 * [backup-simplify]: Simplify 0 into 0
6.758 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.758 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.758 * [backup-simplify]: Simplify (+ 0) into 0
6.759 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
6.759 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
6.760 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.760 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
6.761 * [backup-simplify]: Simplify (- 0) into 0
6.761 * [backup-simplify]: Simplify (+ 0 0) into 0
6.761 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
6.761 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0
6.762 * [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
6.762 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0
6.763 * [backup-simplify]: Simplify (+ 0 0) into 0
6.763 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0
6.763 * [taylor]: Taking taylor expansion of 0 in K
6.763 * [backup-simplify]: Simplify 0 into 0
6.764 * [taylor]: Taking taylor expansion of 0 in J
6.764 * [backup-simplify]: Simplify 0 into 0
6.764 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.764 * [backup-simplify]: Simplify (+ 0) into 0
6.765 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.765 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
6.766 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/8 (pow J 2)) (/ 0 (pow J 2))))) into 0
6.766 * [taylor]: Taking taylor expansion of 0 in J
6.766 * [backup-simplify]: Simplify 0 into 0
6.766 * [taylor]: Taking taylor expansion of 0 in J
6.766 * [backup-simplify]: Simplify 0 into 0
6.766 * [taylor]: Taking taylor expansion of 0 in J
6.766 * [backup-simplify]: Simplify 0 into 0
6.767 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.768 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.768 * [backup-simplify]: Simplify 0 into 0
6.768 * [backup-simplify]: Simplify 0 into 0
6.768 * [backup-simplify]: Simplify 1 into 1
6.768 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* (cos (/ (/ 1 K) 2)) (* 2 (/ 1 J)))) (/ (/ 1 U) (* (cos (/ (/ 1 K) 2)) (* 2 (/ 1 J))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
6.768 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U K J) around 0
6.768 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
6.768 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
6.768 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
6.768 * [taylor]: Taking taylor expansion of 1/4 in J
6.768 * [backup-simplify]: Simplify 1/4 into 1/4
6.768 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
6.768 * [taylor]: Taking taylor expansion of (pow J 2) in J
6.769 * [taylor]: Taking taylor expansion of J in J
6.769 * [backup-simplify]: Simplify 0 into 0
6.769 * [backup-simplify]: Simplify 1 into 1
6.769 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
6.769 * [taylor]: Taking taylor expansion of (pow U 2) in J
6.769 * [taylor]: Taking taylor expansion of U in J
6.769 * [backup-simplify]: Simplify U into U
6.769 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
6.769 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
6.769 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
6.769 * [taylor]: Taking taylor expansion of 1/2 in J
6.769 * [backup-simplify]: Simplify 1/2 into 1/2
6.769 * [taylor]: Taking taylor expansion of K in J
6.769 * [backup-simplify]: Simplify K into K
6.769 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
6.769 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.769 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
6.769 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
6.769 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
6.771 * [backup-simplify]: Simplify (- 0) into 0
6.771 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
6.772 * [backup-simplify]: Simplify (* 1 1) into 1
6.772 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.772 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
6.772 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
6.772 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
6.772 * [taylor]: Taking taylor expansion of 1 in J
6.772 * [backup-simplify]: Simplify 1 into 1
6.773 * [backup-simplify]: Simplify (+ 0 1) into 1
6.773 * [backup-simplify]: Simplify (sqrt 1) into 1
6.773 * [backup-simplify]: Simplify (+ 0 0) into 0
6.774 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.774 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K
6.774 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K
6.774 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
6.774 * [taylor]: Taking taylor expansion of 1/4 in K
6.774 * [backup-simplify]: Simplify 1/4 into 1/4
6.774 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
6.774 * [taylor]: Taking taylor expansion of (pow J 2) in K
6.774 * [taylor]: Taking taylor expansion of J in K
6.774 * [backup-simplify]: Simplify J into J
6.774 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
6.774 * [taylor]: Taking taylor expansion of (pow U 2) in K
6.774 * [taylor]: Taking taylor expansion of U in K
6.774 * [backup-simplify]: Simplify U into U
6.774 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
6.774 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
6.775 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
6.775 * [taylor]: Taking taylor expansion of 1/2 in K
6.775 * [backup-simplify]: Simplify 1/2 into 1/2
6.775 * [taylor]: Taking taylor expansion of K in K
6.775 * [backup-simplify]: Simplify 0 into 0
6.775 * [backup-simplify]: Simplify 1 into 1
6.775 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.775 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.775 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.775 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.775 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
6.776 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
6.776 * [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)))
6.776 * [taylor]: Taking taylor expansion of 1 in K
6.776 * [backup-simplify]: Simplify 1 into 1
6.776 * [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))))
6.777 * [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)
6.777 * [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))
6.777 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.777 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
6.777 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
6.777 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
6.778 * [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
6.779 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
6.779 * [backup-simplify]: Simplify (+ 0 0) into 0
6.780 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
6.780 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
6.780 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
6.780 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
6.780 * [taylor]: Taking taylor expansion of 1/4 in U
6.780 * [backup-simplify]: Simplify 1/4 into 1/4
6.780 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
6.780 * [taylor]: Taking taylor expansion of (pow J 2) in U
6.780 * [taylor]: Taking taylor expansion of J in U
6.780 * [backup-simplify]: Simplify J into J
6.780 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
6.780 * [taylor]: Taking taylor expansion of (pow U 2) in U
6.780 * [taylor]: Taking taylor expansion of U in U
6.780 * [backup-simplify]: Simplify 0 into 0
6.780 * [backup-simplify]: Simplify 1 into 1
6.780 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
6.780 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
6.780 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
6.780 * [taylor]: Taking taylor expansion of 1/2 in U
6.780 * [backup-simplify]: Simplify 1/2 into 1/2
6.780 * [taylor]: Taking taylor expansion of K in U
6.780 * [backup-simplify]: Simplify K into K
6.780 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
6.780 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.781 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
6.781 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
6.781 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
6.781 * [backup-simplify]: Simplify (- 0) into 0
6.781 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
6.781 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.782 * [backup-simplify]: Simplify (* 1 1) into 1
6.782 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
6.782 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
6.782 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
6.782 * [taylor]: Taking taylor expansion of 1 in U
6.782 * [backup-simplify]: Simplify 1 into 1
6.782 * [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)))
6.783 * [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)))
6.783 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
6.783 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.784 * [backup-simplify]: Simplify (+ 0) into 0
6.784 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
6.784 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
6.785 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.786 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
6.786 * [backup-simplify]: Simplify (- 0) into 0
6.786 * [backup-simplify]: Simplify (+ 0 0) into 0
6.786 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
6.787 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.788 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
6.788 * [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
6.789 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
6.789 * [backup-simplify]: Simplify (+ 0 0) into 0
6.789 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
6.789 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
6.790 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
6.790 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
6.790 * [taylor]: Taking taylor expansion of 1/4 in U
6.790 * [backup-simplify]: Simplify 1/4 into 1/4
6.790 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
6.790 * [taylor]: Taking taylor expansion of (pow J 2) in U
6.790 * [taylor]: Taking taylor expansion of J in U
6.790 * [backup-simplify]: Simplify J into J
6.790 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
6.790 * [taylor]: Taking taylor expansion of (pow U 2) in U
6.790 * [taylor]: Taking taylor expansion of U in U
6.790 * [backup-simplify]: Simplify 0 into 0
6.790 * [backup-simplify]: Simplify 1 into 1
6.790 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
6.790 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
6.790 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
6.790 * [taylor]: Taking taylor expansion of 1/2 in U
6.790 * [backup-simplify]: Simplify 1/2 into 1/2
6.790 * [taylor]: Taking taylor expansion of K in U
6.790 * [backup-simplify]: Simplify K into K
6.790 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
6.790 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.790 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
6.790 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
6.790 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
6.791 * [backup-simplify]: Simplify (- 0) into 0
6.791 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
6.791 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.791 * [backup-simplify]: Simplify (* 1 1) into 1
6.792 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
6.792 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
6.792 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
6.792 * [taylor]: Taking taylor expansion of 1 in U
6.792 * [backup-simplify]: Simplify 1 into 1
6.792 * [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)))
6.792 * [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)))
6.793 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
6.793 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.793 * [backup-simplify]: Simplify (+ 0) into 0
6.794 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
6.794 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
6.795 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.795 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
6.795 * [backup-simplify]: Simplify (- 0) into 0
6.796 * [backup-simplify]: Simplify (+ 0 0) into 0
6.796 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
6.797 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.797 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
6.798 * [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
6.798 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
6.799 * [backup-simplify]: Simplify (+ 0 0) into 0
6.799 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
6.799 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in K
6.799 * [taylor]: Taking taylor expansion of 1/2 in K
6.799 * [backup-simplify]: Simplify 1/2 into 1/2
6.799 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in K
6.799 * [taylor]: Taking taylor expansion of J in K
6.799 * [backup-simplify]: Simplify J into J
6.799 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
6.799 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
6.799 * [taylor]: Taking taylor expansion of 1/2 in K
6.799 * [backup-simplify]: Simplify 1/2 into 1/2
6.799 * [taylor]: Taking taylor expansion of K in K
6.799 * [backup-simplify]: Simplify 0 into 0
6.799 * [backup-simplify]: Simplify 1 into 1
6.800 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.800 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.800 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K)))
6.800 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
6.800 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J
6.800 * [taylor]: Taking taylor expansion of 1/2 in J
6.800 * [backup-simplify]: Simplify 1/2 into 1/2
6.800 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J
6.800 * [taylor]: Taking taylor expansion of J in J
6.800 * [backup-simplify]: Simplify 0 into 0
6.800 * [backup-simplify]: Simplify 1 into 1
6.800 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
6.800 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
6.800 * [taylor]: Taking taylor expansion of 1/2 in J
6.800 * [backup-simplify]: Simplify 1/2 into 1/2
6.800 * [taylor]: Taking taylor expansion of K in J
6.800 * [backup-simplify]: Simplify K into K
6.800 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
6.800 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.801 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
6.801 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
6.801 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
6.801 * [backup-simplify]: Simplify (- 0) into 0
6.801 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
6.801 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K)))
6.801 * [taylor]: Taking taylor expansion of 0 in K
6.801 * [backup-simplify]: Simplify 0 into 0
6.801 * [taylor]: Taking taylor expansion of 0 in J
6.801 * [backup-simplify]: Simplify 0 into 0
6.802 * [backup-simplify]: Simplify 0 into 0
6.802 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
6.802 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0
6.802 * [taylor]: Taking taylor expansion of 0 in J
6.802 * [backup-simplify]: Simplify 0 into 0
6.802 * [backup-simplify]: Simplify 0 into 0
6.803 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K)))
6.803 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
6.803 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
6.804 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.805 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
6.805 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
6.806 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.806 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
6.807 * [backup-simplify]: Simplify (- 0) into 0
6.807 * [backup-simplify]: Simplify (+ 0 0) into 0
6.807 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
6.808 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.808 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
6.809 * [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
6.809 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0
6.810 * [backup-simplify]: Simplify (+ 0 1) into 1
6.810 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J)
6.810 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K
6.810 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
6.810 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
6.810 * [taylor]: Taking taylor expansion of 1/2 in K
6.810 * [backup-simplify]: Simplify 1/2 into 1/2
6.810 * [taylor]: Taking taylor expansion of K in K
6.810 * [backup-simplify]: Simplify 0 into 0
6.810 * [backup-simplify]: Simplify 1 into 1
6.811 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.811 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.811 * [taylor]: Taking taylor expansion of J in K
6.811 * [backup-simplify]: Simplify J into J
6.811 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
6.811 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
6.811 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
6.811 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
6.811 * [taylor]: Taking taylor expansion of 1/2 in J
6.811 * [backup-simplify]: Simplify 1/2 into 1/2
6.811 * [taylor]: Taking taylor expansion of K in J
6.811 * [backup-simplify]: Simplify K into K
6.811 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
6.811 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.811 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
6.811 * [taylor]: Taking taylor expansion of J in J
6.811 * [backup-simplify]: Simplify 0 into 0
6.811 * [backup-simplify]: Simplify 1 into 1
6.811 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
6.811 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
6.811 * [backup-simplify]: Simplify (- 0) into 0
6.811 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
6.812 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
6.812 * [backup-simplify]: Simplify (+ 0) into 0
6.812 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
6.812 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
6.813 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.813 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
6.813 * [backup-simplify]: Simplify (- 0) into 0
6.814 * [backup-simplify]: Simplify (+ 0 0) into 0
6.814 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0
6.814 * [backup-simplify]: Simplify 0 into 0
6.814 * [taylor]: Taking taylor expansion of 0 in J
6.814 * [backup-simplify]: Simplify 0 into 0
6.814 * [backup-simplify]: Simplify 0 into 0
6.815 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0
6.815 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0
6.815 * [taylor]: Taking taylor expansion of 0 in J
6.815 * [backup-simplify]: Simplify 0 into 0
6.815 * [backup-simplify]: Simplify 0 into 0
6.815 * [backup-simplify]: Simplify 0 into 0
6.815 * [backup-simplify]: Simplify 0 into 0
6.816 * [backup-simplify]: Simplify (+ 0) into 0
6.816 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
6.816 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
6.817 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.817 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
6.817 * [backup-simplify]: Simplify (- 0) into 0
6.817 * [backup-simplify]: Simplify (+ 0 0) into 0
6.818 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
6.818 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0
6.818 * [backup-simplify]: Simplify 0 into 0
6.818 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* (/ 1 J) (* 1 (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
6.818 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J))))) (/ (/ 1 (- U)) (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J)))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))
6.818 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U K J) around 0
6.818 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
6.819 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
6.819 * [taylor]: Taking taylor expansion of 1 in J
6.819 * [backup-simplify]: Simplify 1 into 1
6.819 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
6.819 * [taylor]: Taking taylor expansion of 1/4 in J
6.819 * [backup-simplify]: Simplify 1/4 into 1/4
6.819 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
6.819 * [taylor]: Taking taylor expansion of (pow J 2) in J
6.819 * [taylor]: Taking taylor expansion of J in J
6.819 * [backup-simplify]: Simplify 0 into 0
6.819 * [backup-simplify]: Simplify 1 into 1
6.819 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
6.819 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
6.819 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
6.819 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
6.819 * [taylor]: Taking taylor expansion of -1/2 in J
6.819 * [backup-simplify]: Simplify -1/2 into -1/2
6.819 * [taylor]: Taking taylor expansion of K in J
6.819 * [backup-simplify]: Simplify K into K
6.819 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
6.819 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.819 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
6.819 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.819 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
6.819 * [backup-simplify]: Simplify (- 0) into 0
6.819 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
6.819 * [taylor]: Taking taylor expansion of (pow U 2) in J
6.819 * [taylor]: Taking taylor expansion of U in J
6.819 * [backup-simplify]: Simplify U into U
6.820 * [backup-simplify]: Simplify (* 1 1) into 1
6.820 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
6.820 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.820 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
6.820 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
6.820 * [backup-simplify]: Simplify (+ 1 0) into 1
6.821 * [backup-simplify]: Simplify (sqrt 1) into 1
6.821 * [backup-simplify]: Simplify (+ 0 0) into 0
6.821 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.821 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K
6.821 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K
6.821 * [taylor]: Taking taylor expansion of 1 in K
6.821 * [backup-simplify]: Simplify 1 into 1
6.821 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
6.821 * [taylor]: Taking taylor expansion of 1/4 in K
6.821 * [backup-simplify]: Simplify 1/4 into 1/4
6.821 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
6.821 * [taylor]: Taking taylor expansion of (pow J 2) in K
6.821 * [taylor]: Taking taylor expansion of J in K
6.821 * [backup-simplify]: Simplify J into J
6.821 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
6.821 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
6.822 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
6.822 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
6.822 * [taylor]: Taking taylor expansion of -1/2 in K
6.822 * [backup-simplify]: Simplify -1/2 into -1/2
6.822 * [taylor]: Taking taylor expansion of K in K
6.822 * [backup-simplify]: Simplify 0 into 0
6.822 * [backup-simplify]: Simplify 1 into 1
6.822 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
6.822 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.822 * [taylor]: Taking taylor expansion of (pow U 2) in K
6.822 * [taylor]: Taking taylor expansion of U in K
6.822 * [backup-simplify]: Simplify U into U
6.822 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.822 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
6.822 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.822 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
6.822 * [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)))
6.823 * [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))))
6.823 * [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)))))
6.823 * [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))))))
6.823 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.823 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
6.823 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
6.823 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
6.824 * [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
6.824 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
6.824 * [backup-simplify]: Simplify (+ 0 0) into 0
6.825 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0
6.825 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
6.825 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
6.825 * [taylor]: Taking taylor expansion of 1 in U
6.825 * [backup-simplify]: Simplify 1 into 1
6.825 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
6.825 * [taylor]: Taking taylor expansion of 1/4 in U
6.825 * [backup-simplify]: Simplify 1/4 into 1/4
6.825 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
6.825 * [taylor]: Taking taylor expansion of (pow J 2) in U
6.825 * [taylor]: Taking taylor expansion of J in U
6.825 * [backup-simplify]: Simplify J into J
6.825 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
6.825 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
6.825 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
6.825 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
6.825 * [taylor]: Taking taylor expansion of -1/2 in U
6.825 * [backup-simplify]: Simplify -1/2 into -1/2
6.825 * [taylor]: Taking taylor expansion of K in U
6.825 * [backup-simplify]: Simplify K into K
6.825 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
6.825 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.825 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
6.825 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.825 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
6.825 * [backup-simplify]: Simplify (- 0) into 0
6.825 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
6.826 * [taylor]: Taking taylor expansion of (pow U 2) in U
6.826 * [taylor]: Taking taylor expansion of U in U
6.826 * [backup-simplify]: Simplify 0 into 0
6.826 * [backup-simplify]: Simplify 1 into 1
6.826 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.826 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
6.826 * [backup-simplify]: Simplify (* 1 1) into 1
6.826 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
6.826 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
6.826 * [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)))
6.826 * [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)))
6.827 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
6.827 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.827 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.827 * [backup-simplify]: Simplify (+ 0) into 0
6.828 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
6.828 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
6.828 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.828 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
6.829 * [backup-simplify]: Simplify (- 0) into 0
6.829 * [backup-simplify]: Simplify (+ 0 0) into 0
6.829 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
6.829 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
6.830 * [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
6.830 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
6.830 * [backup-simplify]: Simplify (+ 0 0) into 0
6.830 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
6.830 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
6.830 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
6.831 * [taylor]: Taking taylor expansion of 1 in U
6.831 * [backup-simplify]: Simplify 1 into 1
6.831 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
6.831 * [taylor]: Taking taylor expansion of 1/4 in U
6.831 * [backup-simplify]: Simplify 1/4 into 1/4
6.831 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
6.831 * [taylor]: Taking taylor expansion of (pow J 2) in U
6.831 * [taylor]: Taking taylor expansion of J in U
6.831 * [backup-simplify]: Simplify J into J
6.831 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
6.831 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
6.831 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
6.831 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
6.831 * [taylor]: Taking taylor expansion of -1/2 in U
6.831 * [backup-simplify]: Simplify -1/2 into -1/2
6.831 * [taylor]: Taking taylor expansion of K in U
6.831 * [backup-simplify]: Simplify K into K
6.831 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
6.831 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.831 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
6.831 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.831 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
6.831 * [backup-simplify]: Simplify (- 0) into 0
6.831 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
6.831 * [taylor]: Taking taylor expansion of (pow U 2) in U
6.831 * [taylor]: Taking taylor expansion of U in U
6.831 * [backup-simplify]: Simplify 0 into 0
6.831 * [backup-simplify]: Simplify 1 into 1
6.831 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.832 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
6.832 * [backup-simplify]: Simplify (* 1 1) into 1
6.832 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
6.832 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
6.832 * [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)))
6.832 * [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)))
6.832 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
6.832 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.833 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.833 * [backup-simplify]: Simplify (+ 0) into 0
6.833 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
6.834 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
6.834 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.834 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
6.835 * [backup-simplify]: Simplify (- 0) into 0
6.835 * [backup-simplify]: Simplify (+ 0 0) into 0
6.835 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
6.836 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
6.836 * [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))))) into 0
6.837 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
6.837 * [backup-simplify]: Simplify (+ 0 0) into 0
6.837 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
6.837 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in K
6.837 * [taylor]: Taking taylor expansion of 1/2 in K
6.837 * [backup-simplify]: Simplify 1/2 into 1/2
6.837 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in K
6.837 * [taylor]: Taking taylor expansion of J in K
6.837 * [backup-simplify]: Simplify J into J
6.837 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
6.838 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
6.838 * [taylor]: Taking taylor expansion of -1/2 in K
6.838 * [backup-simplify]: Simplify -1/2 into -1/2
6.838 * [taylor]: Taking taylor expansion of K in K
6.838 * [backup-simplify]: Simplify 0 into 0
6.838 * [backup-simplify]: Simplify 1 into 1
6.838 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
6.838 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.838 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K)))
6.838 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
6.838 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J
6.838 * [taylor]: Taking taylor expansion of 1/2 in J
6.838 * [backup-simplify]: Simplify 1/2 into 1/2
6.838 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J
6.839 * [taylor]: Taking taylor expansion of J in J
6.839 * [backup-simplify]: Simplify 0 into 0
6.839 * [backup-simplify]: Simplify 1 into 1
6.839 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
6.839 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
6.839 * [taylor]: Taking taylor expansion of -1/2 in J
6.839 * [backup-simplify]: Simplify -1/2 into -1/2
6.839 * [taylor]: Taking taylor expansion of K in J
6.839 * [backup-simplify]: Simplify K into K
6.839 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
6.839 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.839 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
6.839 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.839 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
6.839 * [backup-simplify]: Simplify (- 0) into 0
6.840 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
6.840 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K)))
6.840 * [taylor]: Taking taylor expansion of 0 in K
6.840 * [backup-simplify]: Simplify 0 into 0
6.840 * [taylor]: Taking taylor expansion of 0 in J
6.840 * [backup-simplify]: Simplify 0 into 0
6.840 * [backup-simplify]: Simplify 0 into 0
6.840 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
6.841 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0
6.841 * [taylor]: Taking taylor expansion of 0 in J
6.841 * [backup-simplify]: Simplify 0 into 0
6.841 * [backup-simplify]: Simplify 0 into 0
6.841 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K)))
6.841 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
6.841 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
6.842 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.843 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.844 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
6.844 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
6.845 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.846 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
6.846 * [backup-simplify]: Simplify (- 0) into 0
6.846 * [backup-simplify]: Simplify (+ 0 0) into 0
6.847 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
6.848 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
6.848 * [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
6.849 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0
6.849 * [backup-simplify]: Simplify (+ 1 0) into 1
6.850 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J)
6.850 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K
6.850 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
6.850 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
6.850 * [taylor]: Taking taylor expansion of -1/2 in K
6.850 * [backup-simplify]: Simplify -1/2 into -1/2
6.851 * [taylor]: Taking taylor expansion of K in K
6.851 * [backup-simplify]: Simplify 0 into 0
6.851 * [backup-simplify]: Simplify 1 into 1
6.851 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
6.851 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.851 * [taylor]: Taking taylor expansion of J in K
6.851 * [backup-simplify]: Simplify J into J
6.851 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
6.851 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
6.851 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
6.851 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
6.851 * [taylor]: Taking taylor expansion of -1/2 in J
6.851 * [backup-simplify]: Simplify -1/2 into -1/2
6.851 * [taylor]: Taking taylor expansion of K in J
6.851 * [backup-simplify]: Simplify K into K
6.852 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
6.852 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.852 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
6.852 * [taylor]: Taking taylor expansion of J in J
6.852 * [backup-simplify]: Simplify 0 into 0
6.852 * [backup-simplify]: Simplify 1 into 1
6.852 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.852 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
6.852 * [backup-simplify]: Simplify (- 0) into 0
6.852 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
6.852 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.853 * [backup-simplify]: Simplify (+ 0) into 0
6.853 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
6.854 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
6.854 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.855 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
6.855 * [backup-simplify]: Simplify (- 0) into 0
6.855 * [backup-simplify]: Simplify (+ 0 0) into 0
6.856 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0
6.856 * [backup-simplify]: Simplify 0 into 0
6.857 * [taylor]: Taking taylor expansion of 0 in J
6.857 * [backup-simplify]: Simplify 0 into 0
6.857 * [backup-simplify]: Simplify 0 into 0
6.857 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0
6.858 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0
6.858 * [taylor]: Taking taylor expansion of 0 in J
6.858 * [backup-simplify]: Simplify 0 into 0
6.858 * [backup-simplify]: Simplify 0 into 0
6.858 * [backup-simplify]: Simplify 0 into 0
6.858 * [backup-simplify]: Simplify 0 into 0
6.858 * [backup-simplify]: Simplify (+ 0) into 0
6.859 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
6.859 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
6.860 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.860 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
6.861 * [backup-simplify]: Simplify (- 0) into 0
6.861 * [backup-simplify]: Simplify (+ 0 0) into 0
6.861 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
6.862 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0
6.862 * [backup-simplify]: Simplify 0 into 0
6.862 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (- J)) (* 1 (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
6.862 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 2)
6.863 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))
6.863 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U K J) around 0
6.863 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J
6.863 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J
6.863 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
6.863 * [taylor]: Taking taylor expansion of 1/4 in J
6.863 * [backup-simplify]: Simplify 1/4 into 1/4
6.863 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
6.863 * [taylor]: Taking taylor expansion of (pow U 2) in J
6.863 * [taylor]: Taking taylor expansion of U in J
6.863 * [backup-simplify]: Simplify U into U
6.863 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
6.863 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
6.863 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
6.863 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
6.863 * [taylor]: Taking taylor expansion of 1/2 in J
6.863 * [backup-simplify]: Simplify 1/2 into 1/2
6.863 * [taylor]: Taking taylor expansion of K in J
6.863 * [backup-simplify]: Simplify K into K
6.863 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
6.863 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
6.863 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
6.864 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
6.864 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
6.864 * [backup-simplify]: Simplify (- 0) into 0
6.864 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
6.864 * [taylor]: Taking taylor expansion of (pow J 2) in J
6.864 * [taylor]: Taking taylor expansion of J in J
6.864 * [backup-simplify]: Simplify 0 into 0
6.864 * [backup-simplify]: Simplify 1 into 1
6.864 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.864 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
6.865 * [backup-simplify]: Simplify (* 1 1) into 1
6.865 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
6.865 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
6.865 * [taylor]: Taking taylor expansion of 1 in J
6.865 * [backup-simplify]: Simplify 1 into 1
6.866 * [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)))
6.866 * [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)))
6.866 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
6.866 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
6.867 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.867 * [backup-simplify]: Simplify (+ 0) into 0
6.868 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
6.868 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
6.869 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.870 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
6.870 * [backup-simplify]: Simplify (- 0) into 0
6.870 * [backup-simplify]: Simplify (+ 0 0) into 0
6.870 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
6.871 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
6.871 * [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
6.872 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0
6.872 * [backup-simplify]: Simplify (+ 0 0) into 0
6.873 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
6.873 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K
6.873 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K
6.873 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
6.873 * [taylor]: Taking taylor expansion of 1/4 in K
6.873 * [backup-simplify]: Simplify 1/4 into 1/4
6.873 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
6.873 * [taylor]: Taking taylor expansion of (pow U 2) in K
6.873 * [taylor]: Taking taylor expansion of U in K
6.873 * [backup-simplify]: Simplify U into U
6.873 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
6.873 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
6.873 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
6.873 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
6.873 * [taylor]: Taking taylor expansion of 1/2 in K
6.873 * [backup-simplify]: Simplify 1/2 into 1/2
6.873 * [taylor]: Taking taylor expansion of K in K
6.873 * [backup-simplify]: Simplify 0 into 0
6.873 * [backup-simplify]: Simplify 1 into 1
6.874 * [backup-simplify]: Simplify (* 1/2 0) into 0
6.874 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
6.874 * [taylor]: Taking taylor expansion of (pow J 2) in K
6.874 * [taylor]: Taking taylor expansion of J in K
6.874 * [backup-simplify]: Simplify J into J
6.874 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.875 * [backup-simplify]: Simplify (* 1 1) into 1
6.875 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.875 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
6.875 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
6.875 * [taylor]: Taking taylor expansion of 1 in K
6.875 * [backup-simplify]: Simplify 1 into 1
6.875 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2)))
6.876 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
6.876 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
6.876 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
6.876 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.877 * [backup-simplify]: Simplify (+ 0) into 0
6.877 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.878 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
6.878 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
6.879 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0
6.879 * [backup-simplify]: Simplify (+ 0 0) into 0
6.879 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
6.879 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
6.879 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
6.879 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
6.879 * [taylor]: Taking taylor expansion of 1/4 in U
6.879 * [backup-simplify]: Simplify 1/4 into 1/4
6.879 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
6.879 * [taylor]: Taking taylor expansion of (pow U 2) in U
6.879 * [taylor]: Taking taylor expansion of U in U
6.879 * [backup-simplify]: Simplify 0 into 0
6.879 * [backup-simplify]: Simplify 1 into 1
6.880 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
6.880 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
6.880 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
6.880 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
6.880 * [taylor]: Taking taylor expansion of 1/2 in U
6.880 * [backup-simplify]: Simplify 1/2 into 1/2
6.880 * [taylor]: Taking taylor expansion of K in U
6.880 * [backup-simplify]: Simplify K into K
6.880 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
6.880 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
6.880 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
6.880 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
6.880 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
6.880 * [backup-simplify]: Simplify (- 0) into 0
6.881 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
6.881 * [taylor]: Taking taylor expansion of (pow J 2) in U
6.881 * [taylor]: Taking taylor expansion of J in U
6.881 * [backup-simplify]: Simplify J into J
6.881 * [backup-simplify]: Simplify (* 1 1) into 1
6.881 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
6.881 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.881 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
6.882 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
6.882 * [taylor]: Taking taylor expansion of 1 in U
6.882 * [backup-simplify]: Simplify 1 into 1
6.882 * [backup-simplify]: Simplify (+ 0 1) into 1
6.882 * [backup-simplify]: Simplify (sqrt 1) into 1
6.883 * [backup-simplify]: Simplify (+ 0 0) into 0
6.884 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.884 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
6.884 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
6.884 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
6.884 * [taylor]: Taking taylor expansion of 1/4 in U
6.884 * [backup-simplify]: Simplify 1/4 into 1/4
6.884 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
6.884 * [taylor]: Taking taylor expansion of (pow U 2) in U
6.884 * [taylor]: Taking taylor expansion of U in U
6.884 * [backup-simplify]: Simplify 0 into 0
6.884 * [backup-simplify]: Simplify 1 into 1
6.884 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
6.884 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
6.884 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
6.884 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
6.884 * [taylor]: Taking taylor expansion of 1/2 in U
6.884 * [backup-simplify]: Simplify 1/2 into 1/2
6.884 * [taylor]: Taking taylor expansion of K in U
6.884 * [backup-simplify]: Simplify K into K
6.884 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
6.884 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
6.884 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
6.884 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
6.884 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
6.885 * [backup-simplify]: Simplify (- 0) into 0
6.885 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
6.885 * [taylor]: Taking taylor expansion of (pow J 2) in U
6.885 * [taylor]: Taking taylor expansion of J in U
6.885 * [backup-simplify]: Simplify J into J
6.885 * [backup-simplify]: Simplify (* 1 1) into 1
6.886 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
6.886 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.886 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
6.886 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
6.886 * [taylor]: Taking taylor expansion of 1 in U
6.886 * [backup-simplify]: Simplify 1 into 1
6.887 * [backup-simplify]: Simplify (+ 0 1) into 1
6.887 * [backup-simplify]: Simplify (sqrt 1) into 1
6.887 * [backup-simplify]: Simplify (+ 0 0) into 0
6.888 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.888 * [taylor]: Taking taylor expansion of 1 in K
6.888 * [backup-simplify]: Simplify 1 into 1
6.888 * [taylor]: Taking taylor expansion of 1 in J
6.888 * [backup-simplify]: Simplify 1 into 1
6.888 * [taylor]: Taking taylor expansion of 0 in K
6.889 * [backup-simplify]: Simplify 0 into 0
6.889 * [taylor]: Taking taylor expansion of 0 in J
6.889 * [backup-simplify]: Simplify 0 into 0
6.889 * [taylor]: Taking taylor expansion of 0 in J
6.889 * [backup-simplify]: Simplify 0 into 0
6.889 * [backup-simplify]: Simplify 1 into 1
6.889 * [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)))
6.889 * [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))))
6.891 * [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)))
6.891 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
6.891 * [taylor]: Taking taylor expansion of 1/8 in K
6.891 * [backup-simplify]: Simplify 1/8 into 1/8
6.891 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
6.891 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
6.891 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
6.891 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
6.891 * [taylor]: Taking taylor expansion of 1/2 in K
6.891 * [backup-simplify]: Simplify 1/2 into 1/2
6.891 * [taylor]: Taking taylor expansion of K in K
6.891 * [backup-simplify]: Simplify 0 into 0
6.891 * [backup-simplify]: Simplify 1 into 1
6.891 * [backup-simplify]: Simplify (* 1/2 0) into 0
6.892 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
6.892 * [taylor]: Taking taylor expansion of (pow J 2) in K
6.892 * [taylor]: Taking taylor expansion of J in K
6.892 * [backup-simplify]: Simplify J into J
6.893 * [backup-simplify]: Simplify (* 1 1) into 1
6.893 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.893 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
6.893 * [backup-simplify]: Simplify (/ 1/8 (pow J 2)) into (/ 1/8 (pow J 2))
6.893 * [taylor]: Taking taylor expansion of (/ 1/8 (pow J 2)) in J
6.893 * [taylor]: Taking taylor expansion of 1/8 in J
6.893 * [backup-simplify]: Simplify 1/8 into 1/8
6.893 * [taylor]: Taking taylor expansion of (pow J 2) in J
6.893 * [taylor]: Taking taylor expansion of J in J
6.893 * [backup-simplify]: Simplify 0 into 0
6.893 * [backup-simplify]: Simplify 1 into 1
6.893 * [backup-simplify]: Simplify (* 1 1) into 1
6.894 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8
6.895 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.895 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0
6.895 * [backup-simplify]: Simplify 0 into 0
6.896 * [taylor]: Taking taylor expansion of 0 in J
6.896 * [backup-simplify]: Simplify 0 into 0
6.896 * [taylor]: Taking taylor expansion of 0 in J
6.896 * [backup-simplify]: Simplify 0 into 0
6.896 * [backup-simplify]: Simplify 0 into 0
6.896 * [backup-simplify]: Simplify 0 into 0
6.896 * [backup-simplify]: Simplify 0 into 0
6.896 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.897 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.897 * [backup-simplify]: Simplify (+ 0) into 0
6.897 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
6.898 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
6.899 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.899 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
6.899 * [backup-simplify]: Simplify (- 0) into 0
6.900 * [backup-simplify]: Simplify (+ 0 0) into 0
6.900 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
6.900 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0
6.901 * [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
6.901 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0
6.902 * [backup-simplify]: Simplify (+ 0 0) into 0
6.902 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0
6.903 * [taylor]: Taking taylor expansion of 0 in K
6.903 * [backup-simplify]: Simplify 0 into 0
6.903 * [taylor]: Taking taylor expansion of 0 in J
6.903 * [backup-simplify]: Simplify 0 into 0
6.903 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.903 * [backup-simplify]: Simplify (+ 0) into 0
6.904 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.904 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
6.905 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/8 (pow J 2)) (/ 0 (pow J 2))))) into 0
6.905 * [taylor]: Taking taylor expansion of 0 in J
6.905 * [backup-simplify]: Simplify 0 into 0
6.905 * [taylor]: Taking taylor expansion of 0 in J
6.905 * [backup-simplify]: Simplify 0 into 0
6.905 * [taylor]: Taking taylor expansion of 0 in J
6.905 * [backup-simplify]: Simplify 0 into 0
6.908 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.909 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.909 * [backup-simplify]: Simplify 0 into 0
6.909 * [backup-simplify]: Simplify 0 into 0
6.909 * [backup-simplify]: Simplify 1 into 1
6.910 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* (cos (/ (/ 1 K) 2)) (* 2 (/ 1 J)))) (/ (/ 1 U) (* (cos (/ (/ 1 K) 2)) (* 2 (/ 1 J))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
6.910 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U K J) around 0
6.910 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
6.910 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
6.910 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
6.910 * [taylor]: Taking taylor expansion of 1/4 in J
6.910 * [backup-simplify]: Simplify 1/4 into 1/4
6.910 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
6.910 * [taylor]: Taking taylor expansion of (pow J 2) in J
6.910 * [taylor]: Taking taylor expansion of J in J
6.910 * [backup-simplify]: Simplify 0 into 0
6.910 * [backup-simplify]: Simplify 1 into 1
6.910 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
6.910 * [taylor]: Taking taylor expansion of (pow U 2) in J
6.910 * [taylor]: Taking taylor expansion of U in J
6.910 * [backup-simplify]: Simplify U into U
6.910 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
6.910 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
6.910 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
6.910 * [taylor]: Taking taylor expansion of 1/2 in J
6.910 * [backup-simplify]: Simplify 1/2 into 1/2
6.910 * [taylor]: Taking taylor expansion of K in J
6.910 * [backup-simplify]: Simplify K into K
6.910 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
6.910 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.910 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
6.911 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
6.911 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
6.911 * [backup-simplify]: Simplify (- 0) into 0
6.911 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
6.911 * [backup-simplify]: Simplify (* 1 1) into 1
6.911 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.911 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
6.911 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
6.912 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
6.912 * [taylor]: Taking taylor expansion of 1 in J
6.912 * [backup-simplify]: Simplify 1 into 1
6.912 * [backup-simplify]: Simplify (+ 0 1) into 1
6.912 * [backup-simplify]: Simplify (sqrt 1) into 1
6.912 * [backup-simplify]: Simplify (+ 0 0) into 0
6.913 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.913 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K
6.913 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K
6.913 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
6.913 * [taylor]: Taking taylor expansion of 1/4 in K
6.913 * [backup-simplify]: Simplify 1/4 into 1/4
6.913 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
6.913 * [taylor]: Taking taylor expansion of (pow J 2) in K
6.913 * [taylor]: Taking taylor expansion of J in K
6.913 * [backup-simplify]: Simplify J into J
6.913 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
6.913 * [taylor]: Taking taylor expansion of (pow U 2) in K
6.913 * [taylor]: Taking taylor expansion of U in K
6.913 * [backup-simplify]: Simplify U into U
6.913 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
6.913 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
6.913 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
6.913 * [taylor]: Taking taylor expansion of 1/2 in K
6.913 * [backup-simplify]: Simplify 1/2 into 1/2
6.913 * [taylor]: Taking taylor expansion of K in K
6.913 * [backup-simplify]: Simplify 0 into 0
6.913 * [backup-simplify]: Simplify 1 into 1
6.913 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.914 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.914 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.914 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.914 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
6.914 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
6.914 * [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)))
6.914 * [taylor]: Taking taylor expansion of 1 in K
6.914 * [backup-simplify]: Simplify 1 into 1
6.914 * [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))))
6.914 * [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)
6.915 * [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))
6.915 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.915 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
6.915 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
6.915 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
6.915 * [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
6.916 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
6.916 * [backup-simplify]: Simplify (+ 0 0) into 0
6.916 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
6.916 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
6.917 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
6.917 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
6.917 * [taylor]: Taking taylor expansion of 1/4 in U
6.917 * [backup-simplify]: Simplify 1/4 into 1/4
6.917 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
6.917 * [taylor]: Taking taylor expansion of (pow J 2) in U
6.917 * [taylor]: Taking taylor expansion of J in U
6.917 * [backup-simplify]: Simplify J into J
6.917 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
6.917 * [taylor]: Taking taylor expansion of (pow U 2) in U
6.917 * [taylor]: Taking taylor expansion of U in U
6.917 * [backup-simplify]: Simplify 0 into 0
6.917 * [backup-simplify]: Simplify 1 into 1
6.917 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
6.917 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
6.917 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
6.917 * [taylor]: Taking taylor expansion of 1/2 in U
6.917 * [backup-simplify]: Simplify 1/2 into 1/2
6.917 * [taylor]: Taking taylor expansion of K in U
6.917 * [backup-simplify]: Simplify K into K
6.917 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
6.917 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.917 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
6.917 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
6.917 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
6.917 * [backup-simplify]: Simplify (- 0) into 0
6.917 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
6.917 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.918 * [backup-simplify]: Simplify (* 1 1) into 1
6.918 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
6.918 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
6.918 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
6.918 * [taylor]: Taking taylor expansion of 1 in U
6.918 * [backup-simplify]: Simplify 1 into 1
6.918 * [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)))
6.918 * [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)))
6.918 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
6.918 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.919 * [backup-simplify]: Simplify (+ 0) into 0
6.919 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
6.919 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
6.920 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.920 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
6.920 * [backup-simplify]: Simplify (- 0) into 0
6.920 * [backup-simplify]: Simplify (+ 0 0) into 0
6.920 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
6.921 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.921 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
6.921 * [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
6.922 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
6.922 * [backup-simplify]: Simplify (+ 0 0) into 0
6.922 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
6.922 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
6.922 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
6.922 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
6.922 * [taylor]: Taking taylor expansion of 1/4 in U
6.922 * [backup-simplify]: Simplify 1/4 into 1/4
6.922 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
6.922 * [taylor]: Taking taylor expansion of (pow J 2) in U
6.922 * [taylor]: Taking taylor expansion of J in U
6.922 * [backup-simplify]: Simplify J into J
6.922 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
6.922 * [taylor]: Taking taylor expansion of (pow U 2) in U
6.922 * [taylor]: Taking taylor expansion of U in U
6.922 * [backup-simplify]: Simplify 0 into 0
6.922 * [backup-simplify]: Simplify 1 into 1
6.922 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
6.922 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
6.922 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
6.922 * [taylor]: Taking taylor expansion of 1/2 in U
6.922 * [backup-simplify]: Simplify 1/2 into 1/2
6.923 * [taylor]: Taking taylor expansion of K in U
6.923 * [backup-simplify]: Simplify K into K
6.923 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
6.923 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.923 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
6.923 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
6.923 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
6.923 * [backup-simplify]: Simplify (- 0) into 0
6.923 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
6.923 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.923 * [backup-simplify]: Simplify (* 1 1) into 1
6.923 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
6.924 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
6.924 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
6.924 * [taylor]: Taking taylor expansion of 1 in U
6.924 * [backup-simplify]: Simplify 1 into 1
6.924 * [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)))
6.924 * [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)))
6.924 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
6.924 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.924 * [backup-simplify]: Simplify (+ 0) into 0
6.925 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
6.925 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
6.925 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.926 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
6.926 * [backup-simplify]: Simplify (- 0) into 0
6.926 * [backup-simplify]: Simplify (+ 0 0) into 0
6.926 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
6.927 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.927 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
6.927 * [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
6.928 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
6.928 * [backup-simplify]: Simplify (+ 0 0) into 0
6.928 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
6.928 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in K
6.928 * [taylor]: Taking taylor expansion of 1/2 in K
6.928 * [backup-simplify]: Simplify 1/2 into 1/2
6.928 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in K
6.928 * [taylor]: Taking taylor expansion of J in K
6.928 * [backup-simplify]: Simplify J into J
6.928 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
6.928 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
6.928 * [taylor]: Taking taylor expansion of 1/2 in K
6.928 * [backup-simplify]: Simplify 1/2 into 1/2
6.928 * [taylor]: Taking taylor expansion of K in K
6.928 * [backup-simplify]: Simplify 0 into 0
6.928 * [backup-simplify]: Simplify 1 into 1
6.928 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.929 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.929 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K)))
6.929 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
6.929 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J
6.929 * [taylor]: Taking taylor expansion of 1/2 in J
6.929 * [backup-simplify]: Simplify 1/2 into 1/2
6.929 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J
6.929 * [taylor]: Taking taylor expansion of J in J
6.929 * [backup-simplify]: Simplify 0 into 0
6.929 * [backup-simplify]: Simplify 1 into 1
6.929 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
6.929 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
6.929 * [taylor]: Taking taylor expansion of 1/2 in J
6.929 * [backup-simplify]: Simplify 1/2 into 1/2
6.929 * [taylor]: Taking taylor expansion of K in J
6.929 * [backup-simplify]: Simplify K into K
6.929 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
6.929 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.929 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
6.929 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
6.929 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
6.929 * [backup-simplify]: Simplify (- 0) into 0
6.929 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
6.929 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K)))
6.929 * [taylor]: Taking taylor expansion of 0 in K
6.929 * [backup-simplify]: Simplify 0 into 0
6.929 * [taylor]: Taking taylor expansion of 0 in J
6.930 * [backup-simplify]: Simplify 0 into 0
6.930 * [backup-simplify]: Simplify 0 into 0
6.930 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
6.930 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0
6.930 * [taylor]: Taking taylor expansion of 0 in J
6.930 * [backup-simplify]: Simplify 0 into 0
6.930 * [backup-simplify]: Simplify 0 into 0
6.930 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K)))
6.930 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
6.931 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
6.931 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.932 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
6.932 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
6.932 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.932 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
6.933 * [backup-simplify]: Simplify (- 0) into 0
6.933 * [backup-simplify]: Simplify (+ 0 0) into 0
6.933 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
6.934 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.934 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
6.935 * [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))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
6.935 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0
6.936 * [backup-simplify]: Simplify (+ 0 1) into 1
6.936 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J)
6.936 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K
6.936 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
6.936 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
6.936 * [taylor]: Taking taylor expansion of 1/2 in K
6.936 * [backup-simplify]: Simplify 1/2 into 1/2
6.936 * [taylor]: Taking taylor expansion of K in K
6.936 * [backup-simplify]: Simplify 0 into 0
6.936 * [backup-simplify]: Simplify 1 into 1
6.936 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.937 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.937 * [taylor]: Taking taylor expansion of J in K
6.937 * [backup-simplify]: Simplify J into J
6.937 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
6.937 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
6.937 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
6.937 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
6.937 * [taylor]: Taking taylor expansion of 1/2 in J
6.937 * [backup-simplify]: Simplify 1/2 into 1/2
6.937 * [taylor]: Taking taylor expansion of K in J
6.937 * [backup-simplify]: Simplify K into K
6.937 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
6.937 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.937 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
6.937 * [taylor]: Taking taylor expansion of J in J
6.937 * [backup-simplify]: Simplify 0 into 0
6.937 * [backup-simplify]: Simplify 1 into 1
6.937 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
6.937 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
6.937 * [backup-simplify]: Simplify (- 0) into 0
6.937 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
6.937 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
6.938 * [backup-simplify]: Simplify (+ 0) into 0
6.938 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
6.938 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
6.939 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.939 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
6.939 * [backup-simplify]: Simplify (- 0) into 0
6.940 * [backup-simplify]: Simplify (+ 0 0) into 0
6.941 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0
6.941 * [backup-simplify]: Simplify 0 into 0
6.941 * [taylor]: Taking taylor expansion of 0 in J
6.941 * [backup-simplify]: Simplify 0 into 0
6.941 * [backup-simplify]: Simplify 0 into 0
6.941 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0
6.942 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0
6.942 * [taylor]: Taking taylor expansion of 0 in J
6.942 * [backup-simplify]: Simplify 0 into 0
6.942 * [backup-simplify]: Simplify 0 into 0
6.942 * [backup-simplify]: Simplify 0 into 0
6.942 * [backup-simplify]: Simplify 0 into 0
6.942 * [backup-simplify]: Simplify (+ 0) into 0
6.943 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
6.943 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
6.944 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.945 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
6.945 * [backup-simplify]: Simplify (- 0) into 0
6.945 * [backup-simplify]: Simplify (+ 0 0) into 0
6.946 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
6.946 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0
6.946 * [backup-simplify]: Simplify 0 into 0
6.946 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* (/ 1 J) (* 1 (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
6.947 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J))))) (/ (/ 1 (- U)) (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J)))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))
6.947 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U K J) around 0
6.947 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
6.947 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
6.947 * [taylor]: Taking taylor expansion of 1 in J
6.947 * [backup-simplify]: Simplify 1 into 1
6.947 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
6.947 * [taylor]: Taking taylor expansion of 1/4 in J
6.947 * [backup-simplify]: Simplify 1/4 into 1/4
6.947 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
6.947 * [taylor]: Taking taylor expansion of (pow J 2) in J
6.947 * [taylor]: Taking taylor expansion of J in J
6.948 * [backup-simplify]: Simplify 0 into 0
6.948 * [backup-simplify]: Simplify 1 into 1
6.948 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
6.948 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
6.948 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
6.948 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
6.948 * [taylor]: Taking taylor expansion of -1/2 in J
6.948 * [backup-simplify]: Simplify -1/2 into -1/2
6.948 * [taylor]: Taking taylor expansion of K in J
6.948 * [backup-simplify]: Simplify K into K
6.948 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
6.948 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.948 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
6.948 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.948 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
6.949 * [backup-simplify]: Simplify (- 0) into 0
6.949 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
6.949 * [taylor]: Taking taylor expansion of (pow U 2) in J
6.949 * [taylor]: Taking taylor expansion of U in J
6.949 * [backup-simplify]: Simplify U into U
6.949 * [backup-simplify]: Simplify (* 1 1) into 1
6.949 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
6.949 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.950 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
6.950 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
6.950 * [backup-simplify]: Simplify (+ 1 0) into 1
6.951 * [backup-simplify]: Simplify (sqrt 1) into 1
6.951 * [backup-simplify]: Simplify (+ 0 0) into 0
6.952 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.952 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K
6.952 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K
6.952 * [taylor]: Taking taylor expansion of 1 in K
6.952 * [backup-simplify]: Simplify 1 into 1
6.952 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
6.952 * [taylor]: Taking taylor expansion of 1/4 in K
6.952 * [backup-simplify]: Simplify 1/4 into 1/4
6.952 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
6.952 * [taylor]: Taking taylor expansion of (pow J 2) in K
6.952 * [taylor]: Taking taylor expansion of J in K
6.952 * [backup-simplify]: Simplify J into J
6.952 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
6.952 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
6.952 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
6.952 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
6.952 * [taylor]: Taking taylor expansion of -1/2 in K
6.952 * [backup-simplify]: Simplify -1/2 into -1/2
6.952 * [taylor]: Taking taylor expansion of K in K
6.952 * [backup-simplify]: Simplify 0 into 0
6.952 * [backup-simplify]: Simplify 1 into 1
6.953 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
6.953 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.953 * [taylor]: Taking taylor expansion of (pow U 2) in K
6.953 * [taylor]: Taking taylor expansion of U in K
6.953 * [backup-simplify]: Simplify U into U
6.953 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.953 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
6.953 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.953 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
6.954 * [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)))
6.954 * [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))))
6.954 * [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)))))
6.955 * [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))))))
6.955 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.955 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
6.955 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
6.955 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
6.956 * [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
6.957 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
6.957 * [backup-simplify]: Simplify (+ 0 0) into 0
6.957 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0
6.958 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
6.958 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
6.958 * [taylor]: Taking taylor expansion of 1 in U
6.958 * [backup-simplify]: Simplify 1 into 1
6.958 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
6.958 * [taylor]: Taking taylor expansion of 1/4 in U
6.958 * [backup-simplify]: Simplify 1/4 into 1/4
6.958 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
6.958 * [taylor]: Taking taylor expansion of (pow J 2) in U
6.958 * [taylor]: Taking taylor expansion of J in U
6.958 * [backup-simplify]: Simplify J into J
6.958 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
6.958 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
6.958 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
6.958 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
6.958 * [taylor]: Taking taylor expansion of -1/2 in U
6.958 * [backup-simplify]: Simplify -1/2 into -1/2
6.958 * [taylor]: Taking taylor expansion of K in U
6.958 * [backup-simplify]: Simplify K into K
6.958 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
6.958 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.958 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
6.958 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.958 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
6.959 * [backup-simplify]: Simplify (- 0) into 0
6.959 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
6.959 * [taylor]: Taking taylor expansion of (pow U 2) in U
6.959 * [taylor]: Taking taylor expansion of U in U
6.959 * [backup-simplify]: Simplify 0 into 0
6.959 * [backup-simplify]: Simplify 1 into 1
6.959 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.959 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
6.960 * [backup-simplify]: Simplify (* 1 1) into 1
6.960 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
6.960 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
6.960 * [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)))
6.960 * [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)))
6.961 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
6.961 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.961 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.962 * [backup-simplify]: Simplify (+ 0) into 0
6.962 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
6.962 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
6.963 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.964 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
6.964 * [backup-simplify]: Simplify (- 0) into 0
6.965 * [backup-simplify]: Simplify (+ 0 0) into 0
6.965 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
6.966 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
6.966 * [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
6.967 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
6.968 * [backup-simplify]: Simplify (+ 0 0) into 0
6.968 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
6.968 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
6.968 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
6.968 * [taylor]: Taking taylor expansion of 1 in U
6.968 * [backup-simplify]: Simplify 1 into 1
6.968 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
6.968 * [taylor]: Taking taylor expansion of 1/4 in U
6.968 * [backup-simplify]: Simplify 1/4 into 1/4
6.968 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
6.968 * [taylor]: Taking taylor expansion of (pow J 2) in U
6.968 * [taylor]: Taking taylor expansion of J in U
6.968 * [backup-simplify]: Simplify J into J
6.968 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
6.968 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
6.968 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
6.968 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
6.968 * [taylor]: Taking taylor expansion of -1/2 in U
6.968 * [backup-simplify]: Simplify -1/2 into -1/2
6.968 * [taylor]: Taking taylor expansion of K in U
6.968 * [backup-simplify]: Simplify K into K
6.968 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
6.969 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.969 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
6.969 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.969 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
6.969 * [backup-simplify]: Simplify (- 0) into 0
6.969 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
6.969 * [taylor]: Taking taylor expansion of (pow U 2) in U
6.969 * [taylor]: Taking taylor expansion of U in U
6.969 * [backup-simplify]: Simplify 0 into 0
6.969 * [backup-simplify]: Simplify 1 into 1
6.970 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.970 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
6.970 * [backup-simplify]: Simplify (* 1 1) into 1
6.970 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
6.970 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
6.971 * [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)))
6.971 * [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)))
6.971 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
6.971 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.972 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.973 * [backup-simplify]: Simplify (+ 0) into 0
6.973 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
6.973 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
6.974 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.975 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
6.975 * [backup-simplify]: Simplify (- 0) into 0
6.975 * [backup-simplify]: Simplify (+ 0 0) into 0
6.976 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
6.976 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
6.977 * [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))))) into 0
6.977 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
6.978 * [backup-simplify]: Simplify (+ 0 0) into 0
6.978 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
6.978 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in K
6.978 * [taylor]: Taking taylor expansion of 1/2 in K
6.978 * [backup-simplify]: Simplify 1/2 into 1/2
6.978 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in K
6.978 * [taylor]: Taking taylor expansion of J in K
6.978 * [backup-simplify]: Simplify J into J
6.978 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
6.978 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
6.978 * [taylor]: Taking taylor expansion of -1/2 in K
6.978 * [backup-simplify]: Simplify -1/2 into -1/2
6.978 * [taylor]: Taking taylor expansion of K in K
6.978 * [backup-simplify]: Simplify 0 into 0
6.978 * [backup-simplify]: Simplify 1 into 1
6.979 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
6.979 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.979 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K)))
6.979 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
6.979 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J
6.979 * [taylor]: Taking taylor expansion of 1/2 in J
6.979 * [backup-simplify]: Simplify 1/2 into 1/2
6.979 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J
6.979 * [taylor]: Taking taylor expansion of J in J
6.979 * [backup-simplify]: Simplify 0 into 0
6.979 * [backup-simplify]: Simplify 1 into 1
6.979 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
6.979 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
6.979 * [taylor]: Taking taylor expansion of -1/2 in J
6.979 * [backup-simplify]: Simplify -1/2 into -1/2
6.979 * [taylor]: Taking taylor expansion of K in J
6.979 * [backup-simplify]: Simplify K into K
6.979 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
6.980 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.980 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
6.980 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.980 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
6.980 * [backup-simplify]: Simplify (- 0) into 0
6.980 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
6.980 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K)))
6.981 * [taylor]: Taking taylor expansion of 0 in K
6.981 * [backup-simplify]: Simplify 0 into 0
6.981 * [taylor]: Taking taylor expansion of 0 in J
6.981 * [backup-simplify]: Simplify 0 into 0
6.981 * [backup-simplify]: Simplify 0 into 0
6.981 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
6.981 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0
6.981 * [taylor]: Taking taylor expansion of 0 in J
6.982 * [backup-simplify]: Simplify 0 into 0
6.982 * [backup-simplify]: Simplify 0 into 0
6.982 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K)))
6.982 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
6.982 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
6.983 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.984 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.985 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
6.985 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
6.986 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.986 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
6.987 * [backup-simplify]: Simplify (- 0) into 0
6.987 * [backup-simplify]: Simplify (+ 0 0) into 0
6.988 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
6.989 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
6.989 * [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
6.990 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0
6.991 * [backup-simplify]: Simplify (+ 1 0) into 1
6.992 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J)
6.992 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K
6.992 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
6.992 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
6.992 * [taylor]: Taking taylor expansion of -1/2 in K
6.992 * [backup-simplify]: Simplify -1/2 into -1/2
6.992 * [taylor]: Taking taylor expansion of K in K
6.992 * [backup-simplify]: Simplify 0 into 0
6.992 * [backup-simplify]: Simplify 1 into 1
6.992 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
6.992 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.992 * [taylor]: Taking taylor expansion of J in K
6.992 * [backup-simplify]: Simplify J into J
6.993 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
6.993 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
6.993 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
6.993 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
6.993 * [taylor]: Taking taylor expansion of -1/2 in J
6.993 * [backup-simplify]: Simplify -1/2 into -1/2
6.993 * [taylor]: Taking taylor expansion of K in J
6.993 * [backup-simplify]: Simplify K into K
6.993 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
6.993 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.993 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
6.993 * [taylor]: Taking taylor expansion of J in J
6.993 * [backup-simplify]: Simplify 0 into 0
6.993 * [backup-simplify]: Simplify 1 into 1
6.993 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.993 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
6.994 * [backup-simplify]: Simplify (- 0) into 0
6.994 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
6.994 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.994 * [backup-simplify]: Simplify (+ 0) into 0
6.995 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
6.995 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
6.996 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.996 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
6.997 * [backup-simplify]: Simplify (- 0) into 0
6.997 * [backup-simplify]: Simplify (+ 0 0) into 0
6.998 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0
6.998 * [backup-simplify]: Simplify 0 into 0
6.998 * [taylor]: Taking taylor expansion of 0 in J
6.998 * [backup-simplify]: Simplify 0 into 0
6.998 * [backup-simplify]: Simplify 0 into 0
6.998 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0
6.999 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0
6.999 * [taylor]: Taking taylor expansion of 0 in J
6.999 * [backup-simplify]: Simplify 0 into 0
6.999 * [backup-simplify]: Simplify 0 into 0
6.999 * [backup-simplify]: Simplify 0 into 0
6.999 * [backup-simplify]: Simplify 0 into 0
6.999 * [backup-simplify]: Simplify (+ 0) into 0
7.000 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
7.000 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
7.000 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.001 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
7.001 * [backup-simplify]: Simplify (- 0) into 0
7.001 * [backup-simplify]: Simplify (+ 0 0) into 0
7.001 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
7.002 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0
7.002 * [backup-simplify]: Simplify 0 into 0
7.002 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (- J)) (* 1 (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
7.002 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1)
7.002 * [backup-simplify]: Simplify (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) into (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))))
7.002 * [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 (J K U) around 0
7.002 * [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
7.002 * [taylor]: Taking taylor expansion of -2 in U
7.002 * [backup-simplify]: Simplify -2 into -2
7.002 * [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
7.002 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U
7.002 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
7.002 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
7.002 * [taylor]: Taking taylor expansion of 1/2 in U
7.002 * [backup-simplify]: Simplify 1/2 into 1/2
7.002 * [taylor]: Taking taylor expansion of K in U
7.002 * [backup-simplify]: Simplify K into K
7.002 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
7.002 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
7.002 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
7.002 * [taylor]: Taking taylor expansion of J in U
7.002 * [backup-simplify]: Simplify J into J
7.003 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
7.003 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
7.003 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
7.003 * [taylor]: Taking taylor expansion of 1/4 in U
7.003 * [backup-simplify]: Simplify 1/4 into 1/4
7.003 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
7.003 * [taylor]: Taking taylor expansion of (pow U 2) in U
7.003 * [taylor]: Taking taylor expansion of U in U
7.003 * [backup-simplify]: Simplify 0 into 0
7.003 * [backup-simplify]: Simplify 1 into 1
7.003 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
7.003 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
7.003 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
7.003 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
7.003 * [taylor]: Taking taylor expansion of 1/2 in U
7.003 * [backup-simplify]: Simplify 1/2 into 1/2
7.003 * [taylor]: Taking taylor expansion of K in U
7.003 * [backup-simplify]: Simplify K into K
7.003 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
7.003 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
7.003 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
7.003 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
7.003 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
7.003 * [backup-simplify]: Simplify (- 0) into 0
7.003 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
7.003 * [taylor]: Taking taylor expansion of (pow J 2) in U
7.003 * [taylor]: Taking taylor expansion of J in U
7.003 * [backup-simplify]: Simplify J into J
7.004 * [backup-simplify]: Simplify (* 1 1) into 1
7.004 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
7.004 * [backup-simplify]: Simplify (* J J) into (pow J 2)
7.004 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
7.004 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
7.004 * [taylor]: Taking taylor expansion of 1 in U
7.004 * [backup-simplify]: Simplify 1 into 1
7.004 * [backup-simplify]: Simplify (+ 0 1) into 1
7.004 * [backup-simplify]: Simplify (sqrt 1) into 1
7.005 * [backup-simplify]: Simplify (+ 0 0) into 0
7.005 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.005 * [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
7.005 * [taylor]: Taking taylor expansion of -2 in K
7.005 * [backup-simplify]: Simplify -2 into -2
7.005 * [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
7.005 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K
7.005 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
7.005 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
7.005 * [taylor]: Taking taylor expansion of 1/2 in K
7.005 * [backup-simplify]: Simplify 1/2 into 1/2
7.005 * [taylor]: Taking taylor expansion of K in K
7.005 * [backup-simplify]: Simplify 0 into 0
7.005 * [backup-simplify]: Simplify 1 into 1
7.006 * [backup-simplify]: Simplify (* 1/2 0) into 0
7.006 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
7.006 * [taylor]: Taking taylor expansion of J in K
7.006 * [backup-simplify]: Simplify J into J
7.006 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K
7.006 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K
7.006 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
7.006 * [taylor]: Taking taylor expansion of 1/4 in K
7.006 * [backup-simplify]: Simplify 1/4 into 1/4
7.006 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
7.006 * [taylor]: Taking taylor expansion of (pow U 2) in K
7.006 * [taylor]: Taking taylor expansion of U in K
7.006 * [backup-simplify]: Simplify U into U
7.006 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
7.006 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
7.006 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
7.006 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
7.006 * [taylor]: Taking taylor expansion of 1/2 in K
7.006 * [backup-simplify]: Simplify 1/2 into 1/2
7.006 * [taylor]: Taking taylor expansion of K in K
7.006 * [backup-simplify]: Simplify 0 into 0
7.006 * [backup-simplify]: Simplify 1 into 1
7.007 * [backup-simplify]: Simplify (* 1/2 0) into 0
7.007 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
7.007 * [taylor]: Taking taylor expansion of (pow J 2) in K
7.007 * [taylor]: Taking taylor expansion of J in K
7.007 * [backup-simplify]: Simplify J into J
7.007 * [backup-simplify]: Simplify (* U U) into (pow U 2)
7.007 * [backup-simplify]: Simplify (* 1 1) into 1
7.007 * [backup-simplify]: Simplify (* J J) into (pow J 2)
7.008 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
7.008 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
7.008 * [taylor]: Taking taylor expansion of 1 in K
7.008 * [backup-simplify]: Simplify 1 into 1
7.008 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2)))
7.008 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
7.008 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
7.008 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
7.008 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
7.008 * [backup-simplify]: Simplify (+ 0) into 0
7.009 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.009 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
7.009 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
7.010 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0
7.010 * [backup-simplify]: Simplify (+ 0 0) into 0
7.010 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
7.010 * [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
7.010 * [taylor]: Taking taylor expansion of -2 in J
7.010 * [backup-simplify]: Simplify -2 into -2
7.010 * [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
7.010 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J
7.010 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
7.010 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
7.010 * [taylor]: Taking taylor expansion of 1/2 in J
7.010 * [backup-simplify]: Simplify 1/2 into 1/2
7.010 * [taylor]: Taking taylor expansion of K in J
7.010 * [backup-simplify]: Simplify K into K
7.010 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
7.010 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
7.010 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
7.010 * [taylor]: Taking taylor expansion of J in J
7.010 * [backup-simplify]: Simplify 0 into 0
7.010 * [backup-simplify]: Simplify 1 into 1
7.010 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J
7.010 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J
7.010 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
7.010 * [taylor]: Taking taylor expansion of 1/4 in J
7.010 * [backup-simplify]: Simplify 1/4 into 1/4
7.010 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
7.010 * [taylor]: Taking taylor expansion of (pow U 2) in J
7.010 * [taylor]: Taking taylor expansion of U in J
7.011 * [backup-simplify]: Simplify U into U
7.011 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
7.011 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
7.011 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
7.011 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
7.011 * [taylor]: Taking taylor expansion of 1/2 in J
7.011 * [backup-simplify]: Simplify 1/2 into 1/2
7.011 * [taylor]: Taking taylor expansion of K in J
7.011 * [backup-simplify]: Simplify K into K
7.011 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
7.011 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
7.011 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
7.011 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
7.011 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
7.011 * [backup-simplify]: Simplify (- 0) into 0
7.011 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
7.011 * [taylor]: Taking taylor expansion of (pow J 2) in J
7.011 * [taylor]: Taking taylor expansion of J in J
7.011 * [backup-simplify]: Simplify 0 into 0
7.011 * [backup-simplify]: Simplify 1 into 1
7.011 * [backup-simplify]: Simplify (* U U) into (pow U 2)
7.011 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
7.012 * [backup-simplify]: Simplify (* 1 1) into 1
7.012 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
7.012 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
7.012 * [taylor]: Taking taylor expansion of 1 in J
7.012 * [backup-simplify]: Simplify 1 into 1
7.012 * [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)))
7.012 * [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)))
7.012 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
7.012 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
7.013 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.013 * [backup-simplify]: Simplify (+ 0) into 0
7.013 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
7.014 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
7.014 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.014 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
7.014 * [backup-simplify]: Simplify (- 0) into 0
7.015 * [backup-simplify]: Simplify (+ 0 0) into 0
7.015 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
7.015 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
7.015 * [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
7.016 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0
7.016 * [backup-simplify]: Simplify (+ 0 0) into 0
7.016 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
7.016 * [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
7.016 * [taylor]: Taking taylor expansion of -2 in J
7.016 * [backup-simplify]: Simplify -2 into -2
7.016 * [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
7.016 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J
7.016 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
7.016 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
7.016 * [taylor]: Taking taylor expansion of 1/2 in J
7.016 * [backup-simplify]: Simplify 1/2 into 1/2
7.016 * [taylor]: Taking taylor expansion of K in J
7.016 * [backup-simplify]: Simplify K into K
7.016 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
7.016 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
7.017 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
7.017 * [taylor]: Taking taylor expansion of J in J
7.017 * [backup-simplify]: Simplify 0 into 0
7.017 * [backup-simplify]: Simplify 1 into 1
7.017 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J
7.017 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J
7.017 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
7.017 * [taylor]: Taking taylor expansion of 1/4 in J
7.017 * [backup-simplify]: Simplify 1/4 into 1/4
7.017 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
7.017 * [taylor]: Taking taylor expansion of (pow U 2) in J
7.017 * [taylor]: Taking taylor expansion of U in J
7.017 * [backup-simplify]: Simplify U into U
7.017 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
7.017 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
7.017 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
7.017 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
7.017 * [taylor]: Taking taylor expansion of 1/2 in J
7.017 * [backup-simplify]: Simplify 1/2 into 1/2
7.017 * [taylor]: Taking taylor expansion of K in J
7.017 * [backup-simplify]: Simplify K into K
7.017 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
7.017 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
7.017 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
7.017 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
7.017 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
7.017 * [backup-simplify]: Simplify (- 0) into 0
7.017 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
7.017 * [taylor]: Taking taylor expansion of (pow J 2) in J
7.017 * [taylor]: Taking taylor expansion of J in J
7.017 * [backup-simplify]: Simplify 0 into 0
7.017 * [backup-simplify]: Simplify 1 into 1
7.017 * [backup-simplify]: Simplify (* U U) into (pow U 2)
7.018 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
7.018 * [backup-simplify]: Simplify (* 1 1) into 1
7.018 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
7.018 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
7.018 * [taylor]: Taking taylor expansion of 1 in J
7.018 * [backup-simplify]: Simplify 1 into 1
7.018 * [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)))
7.018 * [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)))
7.018 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
7.018 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
7.019 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.019 * [backup-simplify]: Simplify (+ 0) into 0
7.019 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
7.020 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
7.020 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.021 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
7.021 * [backup-simplify]: Simplify (- 0) into 0
7.021 * [backup-simplify]: Simplify (+ 0 0) into 0
7.021 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
7.022 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
7.022 * [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
7.022 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0
7.022 * [backup-simplify]: Simplify (+ 0 0) into 0
7.023 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
7.023 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
7.023 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
7.023 * [backup-simplify]: Simplify (- 0) into 0
7.023 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
7.023 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0
7.023 * [backup-simplify]: Simplify (* 0 (* 1/2 (/ U (cos (* 1/2 K))))) into 0
7.024 * [backup-simplify]: Simplify (* -2 0) into 0
7.024 * [taylor]: Taking taylor expansion of 0 in K
7.024 * [backup-simplify]: Simplify 0 into 0
7.024 * [taylor]: Taking taylor expansion of 0 in U
7.024 * [backup-simplify]: Simplify 0 into 0
7.024 * [backup-simplify]: Simplify 0 into 0
7.024 * [backup-simplify]: Simplify (+ 0) into 0
7.024 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
7.025 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
7.025 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.025 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
7.026 * [backup-simplify]: Simplify (- 0) into 0
7.026 * [backup-simplify]: Simplify (+ 0 0) into 0
7.026 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K))
7.028 * [backup-simplify]: Simplify (+ (* 0 0) (* (cos (* 1/2 K)) (* 1/2 (/ U (cos (* 1/2 K)))))) into (* 1/2 U)
7.029 * [backup-simplify]: Simplify (+ (* -2 (* 1/2 U)) (* 0 0)) into (- U)
7.029 * [taylor]: Taking taylor expansion of (- U) in K
7.029 * [taylor]: Taking taylor expansion of U in K
7.029 * [backup-simplify]: Simplify U into U
7.029 * [backup-simplify]: Simplify (- U) into (- U)
7.029 * [taylor]: Taking taylor expansion of (- U) in U
7.029 * [taylor]: Taking taylor expansion of U in U
7.029 * [backup-simplify]: Simplify 0 into 0
7.029 * [backup-simplify]: Simplify 1 into 1
7.030 * [backup-simplify]: Simplify (- 0) into 0
7.030 * [backup-simplify]: Simplify 0 into 0
7.030 * [taylor]: Taking taylor expansion of 0 in U
7.030 * [backup-simplify]: Simplify 0 into 0
7.030 * [backup-simplify]: Simplify 0 into 0
7.030 * [backup-simplify]: Simplify 0 into 0
7.030 * [backup-simplify]: Simplify (+ (* U 0) (+ (* 0 0) (* 0 U))) into 0
7.031 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.032 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.033 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
7.034 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
7.034 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.035 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
7.035 * [backup-simplify]: Simplify (- 0) into 0
7.036 * [backup-simplify]: Simplify (+ 0 0) into 0
7.036 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0
7.037 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
7.037 * [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))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
7.038 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))) into 0
7.039 * [backup-simplify]: Simplify (+ 0 1) into 1
7.040 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ U (cos (* 1/2 K)))))) into (/ (cos (* 1/2 K)) U)
7.041 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.041 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
7.042 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
7.043 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.044 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
7.044 * [backup-simplify]: Simplify (- 0) into 0
7.044 * [backup-simplify]: Simplify (+ 0 0) into 0
7.045 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0
7.045 * [backup-simplify]: Simplify (+ (* 0 (/ (cos (* 1/2 K)) U)) (+ (* (cos (* 1/2 K)) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K))))))) into 0
7.046 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/2 U)) (* 0 0))) into 0
7.046 * [taylor]: Taking taylor expansion of 0 in K
7.046 * [backup-simplify]: Simplify 0 into 0
7.046 * [taylor]: Taking taylor expansion of 0 in U
7.046 * [backup-simplify]: Simplify 0 into 0
7.046 * [backup-simplify]: Simplify 0 into 0
7.047 * [backup-simplify]: Simplify (- 0) into 0
7.047 * [taylor]: Taking taylor expansion of 0 in U
7.047 * [backup-simplify]: Simplify 0 into 0
7.047 * [backup-simplify]: Simplify 0 into 0
7.047 * [backup-simplify]: Simplify 0 into 0
7.048 * [backup-simplify]: Simplify (* (* (/ 1 J) (* -2 (cos (/ (/ 1 K) 2)))) (sqrt (+ (* (/ (/ 1 U) (* (cos (/ (/ 1 K) 2)) (* 2 (/ 1 J)))) (/ (/ 1 U) (* (cos (/ (/ 1 K) 2)) (* 2 (/ 1 J))))) 1))) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)))
7.048 * [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 (J K U) around 0
7.048 * [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
7.048 * [taylor]: Taking taylor expansion of -2 in U
7.048 * [backup-simplify]: Simplify -2 into -2
7.048 * [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
7.048 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
7.048 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
7.048 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
7.048 * [taylor]: Taking taylor expansion of 1/4 in U
7.048 * [backup-simplify]: Simplify 1/4 into 1/4
7.048 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
7.048 * [taylor]: Taking taylor expansion of (pow J 2) in U
7.048 * [taylor]: Taking taylor expansion of J in U
7.048 * [backup-simplify]: Simplify J into J
7.048 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
7.048 * [taylor]: Taking taylor expansion of (pow U 2) in U
7.048 * [taylor]: Taking taylor expansion of U in U
7.048 * [backup-simplify]: Simplify 0 into 0
7.048 * [backup-simplify]: Simplify 1 into 1
7.048 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
7.048 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
7.048 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
7.048 * [taylor]: Taking taylor expansion of 1/2 in U
7.048 * [backup-simplify]: Simplify 1/2 into 1/2
7.048 * [taylor]: Taking taylor expansion of K in U
7.048 * [backup-simplify]: Simplify K into K
7.048 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
7.048 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
7.048 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
7.049 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
7.049 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
7.049 * [backup-simplify]: Simplify (- 0) into 0
7.049 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
7.049 * [backup-simplify]: Simplify (* J J) into (pow J 2)
7.050 * [backup-simplify]: Simplify (* 1 1) into 1
7.050 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
7.050 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
7.050 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
7.050 * [taylor]: Taking taylor expansion of 1 in U
7.050 * [backup-simplify]: Simplify 1 into 1
7.050 * [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)))
7.051 * [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)))
7.051 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
7.051 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
7.051 * [backup-simplify]: Simplify (+ 0) into 0
7.052 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
7.052 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
7.053 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.053 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
7.054 * [backup-simplify]: Simplify (- 0) into 0
7.054 * [backup-simplify]: Simplify (+ 0 0) into 0
7.054 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
7.055 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.055 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
7.055 * [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
7.056 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
7.056 * [backup-simplify]: Simplify (+ 0 0) into 0
7.056 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
7.056 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U
7.056 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
7.056 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
7.056 * [taylor]: Taking taylor expansion of 1/2 in U
7.056 * [backup-simplify]: Simplify 1/2 into 1/2
7.056 * [taylor]: Taking taylor expansion of K in U
7.056 * [backup-simplify]: Simplify K into K
7.056 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
7.056 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
7.056 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
7.056 * [taylor]: Taking taylor expansion of J in U
7.056 * [backup-simplify]: Simplify J into J
7.056 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
7.056 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
7.057 * [backup-simplify]: Simplify (- 0) into 0
7.057 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
7.057 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
7.057 * [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
7.057 * [taylor]: Taking taylor expansion of -2 in K
7.057 * [backup-simplify]: Simplify -2 into -2
7.057 * [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
7.057 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K
7.057 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K
7.057 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
7.057 * [taylor]: Taking taylor expansion of 1/4 in K
7.057 * [backup-simplify]: Simplify 1/4 into 1/4
7.057 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
7.057 * [taylor]: Taking taylor expansion of (pow J 2) in K
7.057 * [taylor]: Taking taylor expansion of J in K
7.057 * [backup-simplify]: Simplify J into J
7.057 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
7.057 * [taylor]: Taking taylor expansion of (pow U 2) in K
7.057 * [taylor]: Taking taylor expansion of U in K
7.057 * [backup-simplify]: Simplify U into U
7.057 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
7.057 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
7.057 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
7.057 * [taylor]: Taking taylor expansion of 1/2 in K
7.057 * [backup-simplify]: Simplify 1/2 into 1/2
7.057 * [taylor]: Taking taylor expansion of K in K
7.057 * [backup-simplify]: Simplify 0 into 0
7.057 * [backup-simplify]: Simplify 1 into 1
7.058 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.058 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
7.058 * [backup-simplify]: Simplify (* J J) into (pow J 2)
7.058 * [backup-simplify]: Simplify (* U U) into (pow U 2)
7.058 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
7.058 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
7.058 * [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)))
7.058 * [taylor]: Taking taylor expansion of 1 in K
7.058 * [backup-simplify]: Simplify 1 into 1
7.058 * [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))))
7.058 * [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)
7.059 * [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))
7.059 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
7.059 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
7.059 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
7.059 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
7.059 * [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
7.060 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
7.060 * [backup-simplify]: Simplify (+ 0 0) into 0
7.060 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
7.060 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K
7.060 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
7.060 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
7.060 * [taylor]: Taking taylor expansion of 1/2 in K
7.060 * [backup-simplify]: Simplify 1/2 into 1/2
7.060 * [taylor]: Taking taylor expansion of K in K
7.060 * [backup-simplify]: Simplify 0 into 0
7.060 * [backup-simplify]: Simplify 1 into 1
7.061 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.061 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
7.061 * [taylor]: Taking taylor expansion of J in K
7.061 * [backup-simplify]: Simplify J into J
7.061 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
7.061 * [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
7.061 * [taylor]: Taking taylor expansion of -2 in J
7.061 * [backup-simplify]: Simplify -2 into -2
7.061 * [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
7.061 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
7.061 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
7.061 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
7.061 * [taylor]: Taking taylor expansion of 1/4 in J
7.061 * [backup-simplify]: Simplify 1/4 into 1/4
7.061 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
7.061 * [taylor]: Taking taylor expansion of (pow J 2) in J
7.061 * [taylor]: Taking taylor expansion of J in J
7.061 * [backup-simplify]: Simplify 0 into 0
7.061 * [backup-simplify]: Simplify 1 into 1
7.061 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
7.061 * [taylor]: Taking taylor expansion of (pow U 2) in J
7.061 * [taylor]: Taking taylor expansion of U in J
7.061 * [backup-simplify]: Simplify U into U
7.061 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
7.061 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
7.061 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
7.061 * [taylor]: Taking taylor expansion of 1/2 in J
7.061 * [backup-simplify]: Simplify 1/2 into 1/2
7.061 * [taylor]: Taking taylor expansion of K in J
7.061 * [backup-simplify]: Simplify K into K
7.061 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
7.061 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
7.061 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
7.061 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
7.061 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
7.062 * [backup-simplify]: Simplify (- 0) into 0
7.062 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
7.062 * [backup-simplify]: Simplify (* 1 1) into 1
7.062 * [backup-simplify]: Simplify (* U U) into (pow U 2)
7.062 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
7.062 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
7.062 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
7.062 * [taylor]: Taking taylor expansion of 1 in J
7.062 * [backup-simplify]: Simplify 1 into 1
7.063 * [backup-simplify]: Simplify (+ 0 1) into 1
7.063 * [backup-simplify]: Simplify (sqrt 1) into 1
7.063 * [backup-simplify]: Simplify (+ 0 0) into 0
7.064 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.064 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
7.064 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
7.064 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
7.064 * [taylor]: Taking taylor expansion of 1/2 in J
7.064 * [backup-simplify]: Simplify 1/2 into 1/2
7.064 * [taylor]: Taking taylor expansion of K in J
7.064 * [backup-simplify]: Simplify K into K
7.064 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
7.064 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
7.064 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
7.064 * [taylor]: Taking taylor expansion of J in J
7.064 * [backup-simplify]: Simplify 0 into 0
7.064 * [backup-simplify]: Simplify 1 into 1
7.064 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
7.064 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
7.064 * [backup-simplify]: Simplify (- 0) into 0
7.064 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
7.064 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
7.064 * [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
7.064 * [taylor]: Taking taylor expansion of -2 in J
7.064 * [backup-simplify]: Simplify -2 into -2
7.064 * [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
7.064 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
7.064 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
7.064 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
7.065 * [taylor]: Taking taylor expansion of 1/4 in J
7.065 * [backup-simplify]: Simplify 1/4 into 1/4
7.065 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
7.065 * [taylor]: Taking taylor expansion of (pow J 2) in J
7.065 * [taylor]: Taking taylor expansion of J in J
7.065 * [backup-simplify]: Simplify 0 into 0
7.065 * [backup-simplify]: Simplify 1 into 1
7.065 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
7.065 * [taylor]: Taking taylor expansion of (pow U 2) in J
7.065 * [taylor]: Taking taylor expansion of U in J
7.065 * [backup-simplify]: Simplify U into U
7.065 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
7.065 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
7.065 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
7.065 * [taylor]: Taking taylor expansion of 1/2 in J
7.065 * [backup-simplify]: Simplify 1/2 into 1/2
7.065 * [taylor]: Taking taylor expansion of K in J
7.065 * [backup-simplify]: Simplify K into K
7.065 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
7.065 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
7.065 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
7.065 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
7.065 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
7.065 * [backup-simplify]: Simplify (- 0) into 0
7.065 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
7.066 * [backup-simplify]: Simplify (* 1 1) into 1
7.066 * [backup-simplify]: Simplify (* U U) into (pow U 2)
7.066 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
7.066 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
7.066 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
7.066 * [taylor]: Taking taylor expansion of 1 in J
7.066 * [backup-simplify]: Simplify 1 into 1
7.066 * [backup-simplify]: Simplify (+ 0 1) into 1
7.066 * [backup-simplify]: Simplify (sqrt 1) into 1
7.067 * [backup-simplify]: Simplify (+ 0 0) into 0
7.067 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.067 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
7.067 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
7.067 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
7.067 * [taylor]: Taking taylor expansion of 1/2 in J
7.067 * [backup-simplify]: Simplify 1/2 into 1/2
7.067 * [taylor]: Taking taylor expansion of K in J
7.067 * [backup-simplify]: Simplify K into K
7.067 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
7.067 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
7.067 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
7.067 * [taylor]: Taking taylor expansion of J in J
7.067 * [backup-simplify]: Simplify 0 into 0
7.067 * [backup-simplify]: Simplify 1 into 1
7.067 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
7.068 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
7.068 * [backup-simplify]: Simplify (- 0) into 0
7.068 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
7.068 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
7.068 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K))
7.068 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K)))
7.068 * [taylor]: Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in K
7.068 * [taylor]: Taking taylor expansion of -2 in K
7.068 * [backup-simplify]: Simplify -2 into -2
7.068 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
7.068 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
7.068 * [taylor]: Taking taylor expansion of 1/2 in K
7.068 * [backup-simplify]: Simplify 1/2 into 1/2
7.068 * [taylor]: Taking taylor expansion of K in K
7.068 * [backup-simplify]: Simplify 0 into 0
7.068 * [backup-simplify]: Simplify 1 into 1
7.068 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.069 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
7.069 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K)))
7.069 * [taylor]: Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in U
7.069 * [taylor]: Taking taylor expansion of -2 in U
7.069 * [backup-simplify]: Simplify -2 into -2
7.069 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
7.069 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
7.069 * [taylor]: Taking taylor expansion of 1/2 in U
7.069 * [backup-simplify]: Simplify 1/2 into 1/2
7.069 * [taylor]: Taking taylor expansion of K in U
7.069 * [backup-simplify]: Simplify K into K
7.069 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
7.069 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
7.069 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
7.069 * [backup-simplify]: Simplify (+ 0) into 0
7.069 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
7.069 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
7.070 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.070 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
7.070 * [backup-simplify]: Simplify (- 0) into 0
7.071 * [backup-simplify]: Simplify (+ 0 0) into 0
7.071 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0
7.072 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (cos (/ 1/2 K)))) into 0
7.072 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0
7.072 * [taylor]: Taking taylor expansion of 0 in K
7.072 * [backup-simplify]: Simplify 0 into 0
7.072 * [taylor]: Taking taylor expansion of 0 in U
7.072 * [backup-simplify]: Simplify 0 into 0
7.072 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0
7.072 * [taylor]: Taking taylor expansion of 0 in U
7.072 * [backup-simplify]: Simplify 0 into 0
7.072 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
7.072 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
7.073 * [backup-simplify]: Simplify (- 0) into 0
7.073 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
7.073 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K)))
7.073 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K)))
7.073 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.074 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
7.074 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
7.074 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.075 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
7.075 * [backup-simplify]: Simplify (- 0) into 0
7.075 * [backup-simplify]: Simplify (+ 0 0) into 0
7.076 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.077 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
7.077 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))
7.078 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
7.078 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (cos (/ 1/2 K))))) into (* 1/8 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))
7.079 * [backup-simplify]: Simplify (+ (* -2 (* 1/8 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))))
7.079 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) in K
7.079 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) in K
7.079 * [taylor]: Taking taylor expansion of 1/4 in K
7.079 * [backup-simplify]: Simplify 1/4 into 1/4
7.079 * [taylor]: Taking taylor expansion of (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) in K
7.079 * [taylor]: Taking taylor expansion of (* (pow U 2) (cos (/ 1/2 K))) in K
7.079 * [taylor]: Taking taylor expansion of (pow U 2) in K
7.079 * [taylor]: Taking taylor expansion of U in K
7.079 * [backup-simplify]: Simplify U into U
7.079 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
7.079 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
7.079 * [taylor]: Taking taylor expansion of 1/2 in K
7.079 * [backup-simplify]: Simplify 1/2 into 1/2
7.079 * [taylor]: Taking taylor expansion of K in K
7.079 * [backup-simplify]: Simplify 0 into 0
7.079 * [backup-simplify]: Simplify 1 into 1
7.079 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.079 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
7.079 * [backup-simplify]: Simplify (* U U) into (pow U 2)
7.079 * [backup-simplify]: Simplify (* (pow U 2) (cos (/ 1/2 K))) into (* (pow U 2) (cos (/ 1/2 K)))
7.080 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) into (/ 1 (* (pow U 2) (cos (/ 1/2 K))))
7.080 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) into (/ 1/4 (* (pow U 2) (cos (/ 1/2 K))))
7.080 * [backup-simplify]: Simplify (- (/ 1/4 (* (pow U 2) (cos (/ 1/2 K))))) into (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))))
7.080 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) in U
7.080 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) in U
7.080 * [taylor]: Taking taylor expansion of 1/4 in U
7.080 * [backup-simplify]: Simplify 1/4 into 1/4
7.080 * [taylor]: Taking taylor expansion of (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) in U
7.080 * [taylor]: Taking taylor expansion of (* (pow U 2) (cos (/ 1/2 K))) in U
7.080 * [taylor]: Taking taylor expansion of (pow U 2) in U
7.080 * [taylor]: Taking taylor expansion of U in U
7.080 * [backup-simplify]: Simplify 0 into 0
7.080 * [backup-simplify]: Simplify 1 into 1
7.080 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
7.080 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
7.080 * [taylor]: Taking taylor expansion of 1/2 in U
7.080 * [backup-simplify]: Simplify 1/2 into 1/2
7.080 * [taylor]: Taking taylor expansion of K in U
7.080 * [backup-simplify]: Simplify K into K
7.080 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
7.080 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
7.080 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
7.080 * [backup-simplify]: Simplify (* 1 1) into 1
7.080 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
7.080 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
7.081 * [backup-simplify]: Simplify (- 0) into 0
7.081 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
7.081 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K))
7.081 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K)))
7.081 * [backup-simplify]: Simplify (+ 0) into 0
7.081 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
7.082 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
7.082 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.082 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
7.083 * [backup-simplify]: Simplify (- 0) into 0
7.083 * [backup-simplify]: Simplify (+ 0 0) into 0
7.083 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.084 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (cos (/ 1/2 K)))) into 0
7.084 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
7.085 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0
7.085 * [backup-simplify]: Simplify (- 0) into 0
7.085 * [backup-simplify]: Simplify 0 into 0
7.085 * [taylor]: Taking taylor expansion of 0 in U
7.085 * [backup-simplify]: Simplify 0 into 0
7.086 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
7.086 * [taylor]: Taking taylor expansion of 0 in U
7.086 * [backup-simplify]: Simplify 0 into 0
7.086 * [backup-simplify]: Simplify 0 into 0
7.086 * [backup-simplify]: Simplify 0 into 0
7.087 * [backup-simplify]: Simplify (+ 0) into 0
7.087 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
7.087 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
7.088 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.088 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
7.089 * [backup-simplify]: Simplify (- 0) into 0
7.089 * [backup-simplify]: Simplify (+ 0 0) into 0
7.090 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0
7.090 * [backup-simplify]: Simplify 0 into 0
7.091 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.092 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.092 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
7.093 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
7.094 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
7.094 * [backup-simplify]: Simplify (- 0) into 0
7.095 * [backup-simplify]: Simplify (+ 0 0) into 0
7.097 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.097 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.098 * [backup-simplify]: Simplify (+ 0) into 0
7.098 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
7.098 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
7.099 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.100 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
7.100 * [backup-simplify]: Simplify (- 0) into 0
7.100 * [backup-simplify]: Simplify (+ 0 0) into 0
7.101 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
7.101 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
7.101 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
7.102 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
7.102 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
7.103 * [backup-simplify]: Simplify (+ 0 0) into 0
7.103 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))) (* 2 1)) into 0
7.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 0) (* 0 (cos (/ 1/2 K)))))) into 0
7.105 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
7.106 * [taylor]: Taking taylor expansion of 0 in K
7.106 * [backup-simplify]: Simplify 0 into 0
7.106 * [taylor]: Taking taylor expansion of 0 in U
7.106 * [backup-simplify]: Simplify 0 into 0
7.106 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
7.106 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (cos (/ 1/2 K)))) into 0
7.106 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) (/ 0 (* (pow U 2) (cos (/ 1/2 K))))))) into 0
7.107 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) into 0
7.107 * [backup-simplify]: Simplify (- 0) into 0
7.107 * [taylor]: Taking taylor expansion of 0 in U
7.107 * [backup-simplify]: Simplify 0 into 0
7.107 * [taylor]: Taking taylor expansion of 0 in U
7.107 * [backup-simplify]: Simplify 0 into 0
7.109 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
7.109 * [taylor]: Taking taylor expansion of 0 in U
7.109 * [backup-simplify]: Simplify 0 into 0
7.110 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.110 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
7.111 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
7.111 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.112 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
7.112 * [backup-simplify]: Simplify (- 0) into 0
7.113 * [backup-simplify]: Simplify (+ 0 0) into 0
7.114 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.114 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
7.115 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0
7.116 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K)))))) into 0
7.116 * [backup-simplify]: Simplify (- 0) into 0
7.116 * [backup-simplify]: Simplify 0 into 0
7.116 * [backup-simplify]: Simplify 0 into 0
7.116 * [backup-simplify]: Simplify (* (* -2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* 1 (/ 1 (/ 1 J))))) into (* -2 (* (cos (* 1/2 K)) J))
7.117 * [backup-simplify]: Simplify (* (* (/ 1 (- J)) (* -2 (cos (/ (/ 1 (- K)) 2)))) (sqrt (+ (* (/ (/ 1 (- U)) (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J))))) (/ (/ 1 (- U)) (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J)))))) 1))) into (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))))
7.117 * [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 (J K U) around 0
7.117 * [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
7.117 * [taylor]: Taking taylor expansion of 2 in U
7.117 * [backup-simplify]: Simplify 2 into 2
7.117 * [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
7.117 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U
7.117 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
7.117 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
7.117 * [taylor]: Taking taylor expansion of -1/2 in U
7.117 * [backup-simplify]: Simplify -1/2 into -1/2
7.117 * [taylor]: Taking taylor expansion of K in U
7.118 * [backup-simplify]: Simplify K into K
7.118 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
7.118 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
7.118 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
7.118 * [taylor]: Taking taylor expansion of J in U
7.118 * [backup-simplify]: Simplify J into J
7.118 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
7.118 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
7.118 * [backup-simplify]: Simplify (- 0) into 0
7.118 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
7.119 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
7.119 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
7.119 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
7.119 * [taylor]: Taking taylor expansion of 1 in U
7.119 * [backup-simplify]: Simplify 1 into 1
7.119 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
7.119 * [taylor]: Taking taylor expansion of 1/4 in U
7.119 * [backup-simplify]: Simplify 1/4 into 1/4
7.119 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
7.119 * [taylor]: Taking taylor expansion of (pow J 2) in U
7.119 * [taylor]: Taking taylor expansion of J in U
7.119 * [backup-simplify]: Simplify J into J
7.119 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
7.119 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
7.119 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
7.119 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
7.119 * [taylor]: Taking taylor expansion of -1/2 in U
7.119 * [backup-simplify]: Simplify -1/2 into -1/2
7.119 * [taylor]: Taking taylor expansion of K in U
7.119 * [backup-simplify]: Simplify K into K
7.119 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
7.119 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
7.119 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
7.119 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
7.119 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
7.120 * [backup-simplify]: Simplify (- 0) into 0
7.120 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
7.120 * [taylor]: Taking taylor expansion of (pow U 2) in U
7.120 * [taylor]: Taking taylor expansion of U in U
7.120 * [backup-simplify]: Simplify 0 into 0
7.120 * [backup-simplify]: Simplify 1 into 1
7.120 * [backup-simplify]: Simplify (* J J) into (pow J 2)
7.120 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
7.121 * [backup-simplify]: Simplify (* 1 1) into 1
7.121 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
7.121 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
7.121 * [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)))
7.121 * [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)))
7.122 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
7.122 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
7.122 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.123 * [backup-simplify]: Simplify (+ 0) into 0
7.123 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
7.124 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
7.124 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.125 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
7.125 * [backup-simplify]: Simplify (- 0) into 0
7.126 * [backup-simplify]: Simplify (+ 0 0) into 0
7.126 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
7.126 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
7.127 * [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
7.128 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
7.128 * [backup-simplify]: Simplify (+ 0 0) into 0
7.128 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
7.128 * [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
7.128 * [taylor]: Taking taylor expansion of 2 in K
7.128 * [backup-simplify]: Simplify 2 into 2
7.128 * [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
7.128 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K
7.128 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
7.129 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
7.129 * [taylor]: Taking taylor expansion of -1/2 in K
7.129 * [backup-simplify]: Simplify -1/2 into -1/2
7.129 * [taylor]: Taking taylor expansion of K in K
7.129 * [backup-simplify]: Simplify 0 into 0
7.129 * [backup-simplify]: Simplify 1 into 1
7.129 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
7.129 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
7.129 * [taylor]: Taking taylor expansion of J in K
7.129 * [backup-simplify]: Simplify J into J
7.129 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
7.129 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K
7.129 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K
7.129 * [taylor]: Taking taylor expansion of 1 in K
7.129 * [backup-simplify]: Simplify 1 into 1
7.130 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
7.130 * [taylor]: Taking taylor expansion of 1/4 in K
7.130 * [backup-simplify]: Simplify 1/4 into 1/4
7.130 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
7.130 * [taylor]: Taking taylor expansion of (pow J 2) in K
7.130 * [taylor]: Taking taylor expansion of J in K
7.130 * [backup-simplify]: Simplify J into J
7.130 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
7.130 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
7.130 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
7.130 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
7.130 * [taylor]: Taking taylor expansion of -1/2 in K
7.130 * [backup-simplify]: Simplify -1/2 into -1/2
7.130 * [taylor]: Taking taylor expansion of K in K
7.130 * [backup-simplify]: Simplify 0 into 0
7.130 * [backup-simplify]: Simplify 1 into 1
7.130 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
7.131 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
7.131 * [taylor]: Taking taylor expansion of (pow U 2) in K
7.131 * [taylor]: Taking taylor expansion of U in K
7.131 * [backup-simplify]: Simplify U into U
7.131 * [backup-simplify]: Simplify (* J J) into (pow J 2)
7.131 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
7.131 * [backup-simplify]: Simplify (* U U) into (pow U 2)
7.131 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
7.131 * [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)))
7.132 * [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))))
7.132 * [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)))))
7.132 * [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))))))
7.132 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
7.133 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
7.133 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
7.133 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
7.134 * [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
7.134 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
7.135 * [backup-simplify]: Simplify (+ 0 0) into 0
7.135 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0
7.135 * [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
7.135 * [taylor]: Taking taylor expansion of 2 in J
7.135 * [backup-simplify]: Simplify 2 into 2
7.135 * [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
7.135 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
7.135 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
7.135 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
7.135 * [taylor]: Taking taylor expansion of -1/2 in J
7.135 * [backup-simplify]: Simplify -1/2 into -1/2
7.136 * [taylor]: Taking taylor expansion of K in J
7.136 * [backup-simplify]: Simplify K into K
7.136 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
7.136 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
7.136 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
7.136 * [taylor]: Taking taylor expansion of J in J
7.136 * [backup-simplify]: Simplify 0 into 0
7.136 * [backup-simplify]: Simplify 1 into 1
7.136 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
7.136 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
7.136 * [backup-simplify]: Simplify (- 0) into 0
7.136 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
7.137 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
7.137 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
7.137 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
7.137 * [taylor]: Taking taylor expansion of 1 in J
7.137 * [backup-simplify]: Simplify 1 into 1
7.137 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
7.137 * [taylor]: Taking taylor expansion of 1/4 in J
7.137 * [backup-simplify]: Simplify 1/4 into 1/4
7.137 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
7.137 * [taylor]: Taking taylor expansion of (pow J 2) in J
7.137 * [taylor]: Taking taylor expansion of J in J
7.137 * [backup-simplify]: Simplify 0 into 0
7.137 * [backup-simplify]: Simplify 1 into 1
7.137 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
7.137 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
7.137 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
7.137 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
7.137 * [taylor]: Taking taylor expansion of -1/2 in J
7.137 * [backup-simplify]: Simplify -1/2 into -1/2
7.137 * [taylor]: Taking taylor expansion of K in J
7.137 * [backup-simplify]: Simplify K into K
7.137 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
7.137 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
7.137 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
7.137 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
7.137 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
7.138 * [backup-simplify]: Simplify (- 0) into 0
7.138 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
7.138 * [taylor]: Taking taylor expansion of (pow U 2) in J
7.138 * [taylor]: Taking taylor expansion of U in J
7.138 * [backup-simplify]: Simplify U into U
7.138 * [backup-simplify]: Simplify (* 1 1) into 1
7.139 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
7.139 * [backup-simplify]: Simplify (* U U) into (pow U 2)
7.139 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
7.139 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
7.139 * [backup-simplify]: Simplify (+ 1 0) into 1
7.140 * [backup-simplify]: Simplify (sqrt 1) into 1
7.140 * [backup-simplify]: Simplify (+ 0 0) into 0
7.141 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.141 * [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
7.141 * [taylor]: Taking taylor expansion of 2 in J
7.141 * [backup-simplify]: Simplify 2 into 2
7.141 * [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
7.141 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
7.141 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
7.141 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
7.141 * [taylor]: Taking taylor expansion of -1/2 in J
7.141 * [backup-simplify]: Simplify -1/2 into -1/2
7.141 * [taylor]: Taking taylor expansion of K in J
7.141 * [backup-simplify]: Simplify K into K
7.141 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
7.141 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
7.141 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
7.141 * [taylor]: Taking taylor expansion of J in J
7.142 * [backup-simplify]: Simplify 0 into 0
7.142 * [backup-simplify]: Simplify 1 into 1
7.142 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
7.142 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
7.142 * [backup-simplify]: Simplify (- 0) into 0
7.142 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
7.142 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
7.142 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
7.142 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
7.142 * [taylor]: Taking taylor expansion of 1 in J
7.142 * [backup-simplify]: Simplify 1 into 1
7.142 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
7.142 * [taylor]: Taking taylor expansion of 1/4 in J
7.143 * [backup-simplify]: Simplify 1/4 into 1/4
7.143 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
7.143 * [taylor]: Taking taylor expansion of (pow J 2) in J
7.143 * [taylor]: Taking taylor expansion of J in J
7.143 * [backup-simplify]: Simplify 0 into 0
7.143 * [backup-simplify]: Simplify 1 into 1
7.143 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
7.143 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
7.143 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
7.143 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
7.143 * [taylor]: Taking taylor expansion of -1/2 in J
7.143 * [backup-simplify]: Simplify -1/2 into -1/2
7.143 * [taylor]: Taking taylor expansion of K in J
7.143 * [backup-simplify]: Simplify K into K
7.143 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
7.143 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
7.143 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
7.143 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
7.143 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
7.144 * [backup-simplify]: Simplify (- 0) into 0
7.144 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
7.144 * [taylor]: Taking taylor expansion of (pow U 2) in J
7.144 * [taylor]: Taking taylor expansion of U in J
7.144 * [backup-simplify]: Simplify U into U
7.144 * [backup-simplify]: Simplify (* 1 1) into 1
7.144 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
7.144 * [backup-simplify]: Simplify (* U U) into (pow U 2)
7.145 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
7.145 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
7.145 * [backup-simplify]: Simplify (+ 1 0) into 1
7.146 * [backup-simplify]: Simplify (sqrt 1) into 1
7.146 * [backup-simplify]: Simplify (+ 0 0) into 0
7.147 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.147 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
7.147 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K)))
7.147 * [taylor]: Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in K
7.147 * [taylor]: Taking taylor expansion of 2 in K
7.147 * [backup-simplify]: Simplify 2 into 2
7.147 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
7.147 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
7.147 * [taylor]: Taking taylor expansion of -1/2 in K
7.147 * [backup-simplify]: Simplify -1/2 into -1/2
7.147 * [taylor]: Taking taylor expansion of K in K
7.147 * [backup-simplify]: Simplify 0 into 0
7.147 * [backup-simplify]: Simplify 1 into 1
7.148 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
7.148 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
7.148 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K)))
7.148 * [taylor]: Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in U
7.148 * [taylor]: Taking taylor expansion of 2 in U
7.148 * [backup-simplify]: Simplify 2 into 2
7.148 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
7.148 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
7.148 * [taylor]: Taking taylor expansion of -1/2 in U
7.148 * [backup-simplify]: Simplify -1/2 into -1/2
7.148 * [taylor]: Taking taylor expansion of K in U
7.148 * [backup-simplify]: Simplify K into K
7.148 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
7.148 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
7.148 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
7.149 * [backup-simplify]: Simplify (+ 0) into 0
7.149 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
7.150 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
7.150 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.151 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
7.151 * [backup-simplify]: Simplify (- 0) into 0
7.152 * [backup-simplify]: Simplify (+ 0 0) into 0
7.153 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0
7.153 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
7.154 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0
7.154 * [taylor]: Taking taylor expansion of 0 in K
7.154 * [backup-simplify]: Simplify 0 into 0
7.154 * [taylor]: Taking taylor expansion of 0 in U
7.154 * [backup-simplify]: Simplify 0 into 0
7.154 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0
7.154 * [taylor]: Taking taylor expansion of 0 in U
7.155 * [backup-simplify]: Simplify 0 into 0
7.155 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
7.155 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
7.155 * [backup-simplify]: Simplify (- 0) into 0
7.155 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
7.155 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K)))
7.155 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K)))
7.156 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
7.156 * [backup-simplify]: Simplify (+ 0 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
7.157 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
7.158 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.159 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
7.159 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
7.160 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.163 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
7.163 * [backup-simplify]: Simplify (- 0) into 0
7.164 * [backup-simplify]: Simplify (+ 0 0) into 0
7.165 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.166 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 1))) into (* 1/8 (/ 1 (* (cos (/ -1/2 K)) (pow U 2))))
7.167 * [backup-simplify]: Simplify (+ (* 2 (* 1/8 (/ 1 (* (cos (/ -1/2 K)) (pow U 2))))) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2))))
7.167 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) in K
7.167 * [taylor]: Taking taylor expansion of 1/4 in K
7.167 * [backup-simplify]: Simplify 1/4 into 1/4
7.167 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) in K
7.167 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow U 2)) in K
7.167 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
7.167 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
7.167 * [taylor]: Taking taylor expansion of -1/2 in K
7.167 * [backup-simplify]: Simplify -1/2 into -1/2
7.168 * [taylor]: Taking taylor expansion of K in K
7.168 * [backup-simplify]: Simplify 0 into 0
7.168 * [backup-simplify]: Simplify 1 into 1
7.168 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
7.168 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
7.168 * [taylor]: Taking taylor expansion of (pow U 2) in K
7.168 * [taylor]: Taking taylor expansion of U in K
7.168 * [backup-simplify]: Simplify U into U
7.168 * [backup-simplify]: Simplify (* U U) into (pow U 2)
7.168 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (pow U 2)) into (* (cos (/ -1/2 K)) (pow U 2))
7.169 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) into (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))
7.169 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) into (/ 1/4 (* (cos (/ -1/2 K)) (pow U 2)))
7.169 * [taylor]: Taking taylor expansion of (/ 1/4 (* (cos (/ -1/2 K)) (pow U 2))) in U
7.169 * [taylor]: Taking taylor expansion of 1/4 in U
7.169 * [backup-simplify]: Simplify 1/4 into 1/4
7.169 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow U 2)) in U
7.169 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
7.169 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
7.169 * [taylor]: Taking taylor expansion of -1/2 in U
7.169 * [backup-simplify]: Simplify -1/2 into -1/2
7.169 * [taylor]: Taking taylor expansion of K in U
7.169 * [backup-simplify]: Simplify K into K
7.169 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
7.169 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
7.169 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
7.169 * [taylor]: Taking taylor expansion of (pow U 2) in U
7.169 * [taylor]: Taking taylor expansion of U in U
7.169 * [backup-simplify]: Simplify 0 into 0
7.169 * [backup-simplify]: Simplify 1 into 1
7.169 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
7.170 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
7.170 * [backup-simplify]: Simplify (- 0) into 0
7.170 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
7.170 * [backup-simplify]: Simplify (* 1 1) into 1
7.171 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
7.171 * [backup-simplify]: Simplify (/ 1/4 (cos (/ -1/2 K))) into (/ 1/4 (cos (/ -1/2 K)))
7.171 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.172 * [backup-simplify]: Simplify (+ 0) into 0
7.172 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
7.173 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
7.173 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.174 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
7.174 * [backup-simplify]: Simplify (- 0) into 0
7.175 * [backup-simplify]: Simplify (+ 0 0) into 0
7.175 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
7.175 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/4 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
7.175 * [backup-simplify]: Simplify 0 into 0
7.175 * [taylor]: Taking taylor expansion of 0 in U
7.176 * [backup-simplify]: Simplify 0 into 0
7.176 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
7.176 * [taylor]: Taking taylor expansion of 0 in U
7.176 * [backup-simplify]: Simplify 0 into 0
7.177 * [backup-simplify]: Simplify 0 into 0
7.177 * [backup-simplify]: Simplify 0 into 0
7.177 * [backup-simplify]: Simplify (+ 0) into 0
7.178 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
7.178 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
7.179 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.179 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
7.180 * [backup-simplify]: Simplify (- 0) into 0
7.180 * [backup-simplify]: Simplify (+ 0 0) into 0
7.181 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0
7.181 * [backup-simplify]: Simplify 0 into 0
7.181 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.181 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
7.182 * [backup-simplify]: Simplify (+ 0) into 0
7.182 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
7.182 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
7.183 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.184 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
7.184 * [backup-simplify]: Simplify (- 0) into 0
7.184 * [backup-simplify]: Simplify (+ 0 0) into 0
7.185 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
7.185 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
7.185 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0
7.186 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
7.186 * [backup-simplify]: Simplify (+ 0 0) into 0
7.187 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) (* 2 1)) into 0
7.188 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.189 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.189 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
7.191 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
7.191 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
7.192 * [backup-simplify]: Simplify (- 0) into 0
7.192 * [backup-simplify]: Simplify (+ 0 0) into 0
7.194 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.195 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 1)))) into 0
7.196 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (/ -1/2 K)) (pow U 2))))) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
7.196 * [taylor]: Taking taylor expansion of 0 in K
7.196 * [backup-simplify]: Simplify 0 into 0
7.196 * [taylor]: Taking taylor expansion of 0 in U
7.196 * [backup-simplify]: Simplify 0 into 0
7.196 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
7.196 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (pow U 2))) into 0
7.197 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) (/ 0 (* (cos (/ -1/2 K)) (pow U 2)))))) into 0
7.197 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (cos (/ -1/2 K)) (pow U 2))))) into 0
7.197 * [taylor]: Taking taylor expansion of 0 in U
7.197 * [backup-simplify]: Simplify 0 into 0
7.197 * [taylor]: Taking taylor expansion of 0 in U
7.197 * [backup-simplify]: Simplify 0 into 0
7.199 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
7.199 * [taylor]: Taking taylor expansion of 0 in U
7.199 * [backup-simplify]: Simplify 0 into 0
7.200 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.201 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.201 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
7.202 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
7.202 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.203 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
7.203 * [backup-simplify]: Simplify (- 0) into 0
7.203 * [backup-simplify]: Simplify (+ 0 0) into 0
7.204 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
7.204 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/4 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0
7.204 * [backup-simplify]: Simplify 0 into 0
7.204 * [backup-simplify]: Simplify 0 into 0
7.204 * [backup-simplify]: Simplify (* (* 2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* 1 (/ 1 (/ 1 (- J)))))) into (* -2 (* (cos (* 1/2 K)) J))
7.204 * * * [progress]: simplifying candidates
7.204 * * * * [progress]: [ 1 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (pow (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1) 1/2)))))>
7.204 * * * * [progress]: [ 2 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (pow (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) 1)))))>
7.204 * * * * [progress]: [ 3 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (exp (log (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))))>
7.204 * * * * [progress]: [ 4 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (log (exp (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))))>
7.204 * * * * [progress]: [ 5 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (* (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))))))))>
7.205 * * * * [progress]: [ 6 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (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))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))))>
7.205 * * * * [progress]: [ 7 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (sqrt (* (cbrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) (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))))))))>
7.205 * * * * [progress]: [ 8 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* J (* -2 (cos (/ K 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))))))))>
7.205 * * * * [progress]: [ 9 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (sqrt 1) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))))))>
7.205 * * * * [progress]: [ 10 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (/ (sqrt (+ (pow (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 3) (pow 1 3))) (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 1) (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))))))))>
7.205 * * * * [progress]: [ 11 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (/ (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 1))) (sqrt (- (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))))))>
7.205 * * * * [progress]: [ 12 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (pow (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1) (/ 1 2))))))>
7.205 * * * * [progress]: [ 13 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* J (* -2 (cos (/ K 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))))))))>
7.205 * * * * [progress]: [ 14 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (fabs (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))))))>
7.205 * * * * [progress]: [ 15 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* 1 (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))))))>
7.205 * * * * [progress]: [ 16 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (posit16->real (real->posit16 (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))))>
7.205 * * * * [progress]: [ 17 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (pow (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1) 1/2)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))>
7.205 * * * * [progress]: [ 18 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (pow (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))>
7.205 * * * * [progress]: [ 19 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (exp (log (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))>
7.205 * * * * [progress]: [ 20 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (log (exp (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))>
7.205 * * * * [progress]: [ 21 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (* (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))))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))>
7.205 * * * * [progress]: [ 22 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (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))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))>
7.205 * * * * [progress]: [ 23 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (sqrt (* (cbrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) (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))))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))>
7.206 * * * * [progress]: [ 24 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 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))))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))>
7.206 * * * * [progress]: [ 25 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (sqrt 1) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))>
7.206 * * * * [progress]: [ 26 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (/ (sqrt (+ (pow (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 3) (pow 1 3))) (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 1) (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))>
7.206 * * * * [progress]: [ 27 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (/ (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 1))) (sqrt (- (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))>
7.206 * * * * [progress]: [ 28 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (pow (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1) (/ 1 2))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))>
7.206 * * * * [progress]: [ 29 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 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))))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))>
7.206 * * * * [progress]: [ 30 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (fabs (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))>
7.206 * * * * [progress]: [ 31 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* 1 (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))>
7.206 * * * * [progress]: [ 32 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (posit16->real (real->posit16 (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))>
7.206 * * * * [progress]: [ 33 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (pow (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1) 1/2))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))>
7.206 * * * * [progress]: [ 34 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (pow (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) 1))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))>
7.206 * * * * [progress]: [ 35 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (exp (log (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))>
7.206 * * * * [progress]: [ 36 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (log (exp (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))>
7.206 * * * * [progress]: [ 37 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (* (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)))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))>
7.206 * * * * [progress]: [ 38 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (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))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))>
7.206 * * * * [progress]: [ 39 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (sqrt (* (cbrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) (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)))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))>
7.206 * * * * [progress]: [ 40 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 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)))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))>
7.206 * * * * [progress]: [ 41 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (sqrt 1) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))>
7.206 * * * * [progress]: [ 42 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (/ (sqrt (+ (pow (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 3) (pow 1 3))) (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 1) (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))>
7.207 * * * * [progress]: [ 43 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (/ (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 1))) (sqrt (- (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))>
7.207 * * * * [progress]: [ 44 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (pow (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1) (/ 1 2)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))>
7.207 * * * * [progress]: [ 45 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 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)))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))>
7.207 * * * * [progress]: [ 46 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (fabs (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))>
7.207 * * * * [progress]: [ 47 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (* 1 (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))>
7.207 * * * * [progress]: [ 48 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (posit16->real (real->posit16 (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))>
7.207 * * * * [progress]: [ 49 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (pow (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) 1))))>
7.207 * * * * [progress]: [ 50 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (pow (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) 1))))>
7.207 * * * * [progress]: [ 51 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (pow (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) 1))))>
7.207 * * * * [progress]: [ 52 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (pow (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) 1))))>
7.207 * * * * [progress]: [ 53 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (exp (+ (+ (log J) (+ (log -2) (log (cos (/ K 2))))) (log (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))))>
7.207 * * * * [progress]: [ 54 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (exp (+ (+ (log J) (log (* -2 (cos (/ K 2))))) (log (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))))>
7.207 * * * * [progress]: [ 55 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (exp (+ (log (* J (* -2 (cos (/ K 2))))) (log (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))))>
7.207 * * * * [progress]: [ 56 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (exp (log (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))))>
7.207 * * * * [progress]: [ 57 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (log (exp (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))))>
7.207 * * * * [progress]: [ 58 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (cbrt (* (* (* (* J J) J) (* (* (* -2 -2) -2) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (* (* (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))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))))>
7.207 * * * * [progress]: [ 59 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (cbrt (* (* (* (* J J) J) (* (* (* -2 (cos (/ K 2))) (* -2 (cos (/ K 2)))) (* -2 (cos (/ K 2))))) (* (* (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))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))))>
7.207 * * * * [progress]: [ 60 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (cbrt (* (* (* (* J (* -2 (cos (/ K 2)))) (* J (* -2 (cos (/ K 2))))) (* J (* -2 (cos (/ K 2))))) (* (* (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))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))))>
7.207 * * * * [progress]: [ 61 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))))>
7.208 * * * * [progress]: [ 62 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (cbrt (* (* (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))))>
7.208 * * * * [progress]: [ 63 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (sqrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))))>
7.208 * * * * [progress]: [ 64 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* 1 (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))))))>
7.208 * * * * [progress]: [ 65 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* (* J (* -2 (cos (/ K 2)))) (* (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)))))))>
7.208 * * * * [progress]: [ 66 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* (* J (* -2 (cos (/ K 2)))) (sqrt (* (cbrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) (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)))))))>
7.208 * * * * [progress]: [ 67 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* (* J (* -2 (cos (/ K 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)))))))>
7.208 * * * * [progress]: [ 68 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* (* J (* -2 (cos (/ K 2)))) (sqrt 1)) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))>
7.208 * * * * [progress]: [ 69 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* (* J (* -2 (cos (/ K 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)))))))>
7.208 * * * * [progress]: [ 70 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* (* J (* -2 (cos (/ K 2)))) 1) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))>
7.208 * * * * [progress]: [ 71 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* J (* (* -2 (cos (/ K 2))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))))))>
7.208 * * * * [progress]: [ 72 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (/ (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (pow (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 3) (pow 1 3)))) (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 1) (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))))>
7.208 * * * * [progress]: [ 73 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (/ (* (* J (* -2 (cos (/ K 2)))) (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 1)))) (sqrt (- (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))>
7.208 * * * * [progress]: [ 74 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (posit16->real (real->posit16 (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))))>
7.208 * * * * [progress]: [ 75 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (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)) (* J (* -2 (cos (/ K 2))))))))>
7.208 * * * * [progress]: [ 76 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) 1))))>
7.208 * * * * [progress]: [ 77 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))))>
7.208 * * * * [progress]: [ 78 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))))>
7.208 * * * * [progress]: [ 79 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) 1))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))>
7.209 * * * * [progress]: [ 80 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))>
7.209 * * * * [progress]: [ 81 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))>
7.209 * * * * [progress]: [ 82 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) 1)) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))>
7.209 * * * * [progress]: [ 83 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))>
7.209 * * * * [progress]: [ 84 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))>
7.209 * * * * [progress]: [ 85 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt 0)))>
7.209 * * * * [progress]: [ 86 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* -2 (* (cos (* 1/2 K)) J)))))>
7.209 * * * * [progress]: [ 87 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* -2 (* (cos (* 1/2 K)) J)))))>
7.210 * [simplify]: Simplifying:
  (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)) (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)))
  (sqrt (* (cbrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) (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)))
  (sqrt 1)
  (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))
  (sqrt (+ (pow (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 3) (pow 1 3)))
  (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 1) (* (* (/ 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 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)) (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)))
  (sqrt (* (cbrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) (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)))
  (sqrt 1)
  (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))
  (sqrt (+ (pow (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 3) (pow 1 3)))
  (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 1) (* (* (/ 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 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)) (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)))
  (sqrt (* (cbrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) (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)))
  (sqrt 1)
  (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))
  (sqrt (+ (pow (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 3) (pow 1 3)))
  (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 1) (* (* (/ 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 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)))
  (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))
  (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))
  (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))
  (+ (+ (log J) (+ (log -2) (log (cos (/ K 2))))) (log (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))
  (+ (+ (log J) (log (* -2 (cos (/ K 2))))) (log (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))
  (+ (log (* J (* -2 (cos (/ K 2))))) (log (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))
  (log (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))
  (exp (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))
  (* (* (* (* J J) J) (* (* (* -2 -2) -2) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (* (* (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))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))
  (* (* (* (* J J) J) (* (* (* -2 (cos (/ K 2))) (* -2 (cos (/ K 2)))) (* -2 (cos (/ K 2))))) (* (* (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))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))
  (* (* (* (* J (* -2 (cos (/ K 2)))) (* J (* -2 (cos (/ K 2))))) (* J (* -2 (cos (/ K 2))))) (* (* (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))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))
  (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))))
  (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))
  (* (* (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))
  (sqrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))
  (sqrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))
  (* (* J (* -2 (cos (/ K 2)))) (* (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)))))
  (* (* J (* -2 (cos (/ K 2)))) (sqrt (* (cbrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) (cbrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))))
  (* (* J (* -2 (cos (/ K 2)))) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))
  (* (* J (* -2 (cos (/ K 2)))) (sqrt 1))
  (* (* J (* -2 (cos (/ K 2)))) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))
  (* (* J (* -2 (cos (/ K 2)))) 1)
  (* (* -2 (cos (/ K 2))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))
  (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (pow (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 3) (pow 1 3))))
  (* (* J (* -2 (cos (/ K 2)))) (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 1))))
  (real->posit16 (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 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)))
  0
  (* -2 (* (cos (* 1/2 K)) J))
  (* -2 (* (cos (* 1/2 K)) J))
7.212 * * [simplify]: iteration 0: 97 enodes
7.233 * * [simplify]: iteration 1: 250 enodes
7.326 * * [simplify]: iteration 2: 893 enodes
7.581 * * [simplify]: iteration 3: 2000 enodes
8.095 * * [simplify]: iteration complete: 2000 enodes
8.095 * * [simplify]: Extracting #0: cost 34 inf + 0
8.096 * * [simplify]: Extracting #1: cost 244 inf + 3
8.098 * * [simplify]: Extracting #2: cost 529 inf + 948
8.104 * * [simplify]: Extracting #3: cost 737 inf + 3918
8.110 * * [simplify]: Extracting #4: cost 758 inf + 6645
8.121 * * [simplify]: Extracting #5: cost 671 inf + 31952
8.154 * * [simplify]: Extracting #6: cost 423 inf + 108768
8.232 * * [simplify]: Extracting #7: cost 164 inf + 228580
8.307 * * [simplify]: Extracting #8: cost 5 inf + 308930
8.383 * * [simplify]: Extracting #9: cost 0 inf + 311698
8.474 * [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 (+ (* (* (/ 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))))))) 1))
  (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 (+ (* (* (/ 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))
  (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 (+ (* (* (/ 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))))))) 1))
  (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 (+ (* (* (/ 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))
  (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 (+ (* (* (/ 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))))))) 1))
  (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 (+ (* (* (/ 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))
  (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)))
  (* J (* (* (cos (/ K 2)) -2) (sqrt (+ (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) 1))))
  (* J (* (* (cos (/ K 2)) -2) (sqrt (+ (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) 1))))
  (* J (* (* (cos (/ K 2)) -2) (sqrt (+ (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) 1))))
  (log (* J (* (* (cos (/ K 2)) -2) (sqrt (+ (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) 1)))))
  (log (* J (* (* (cos (/ K 2)) -2) (sqrt (+ (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) 1)))))
  (log (* J (* (* (cos (/ K 2)) -2) (sqrt (+ (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) 1)))))
  (log (* J (* (* (cos (/ K 2)) -2) (sqrt (+ (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) 1)))))
  (exp (* J (* (* (cos (/ K 2)) -2) (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)) (* J J)) (* (* (* J (* -8 (cos (/ K 2)))) (cos (/ K 2))) (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)) (* (* (* J (* (cos (/ K 2)) -2)) (* J (* (cos (/ K 2)) -2))) (* J (* (cos (/ K 2)) -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)) (* (* (* J (* (cos (/ K 2)) -2)) (* J (* (cos (/ K 2)) -2))) (* J (* (cos (/ K 2)) -2))))
  (* (cbrt (* J (* (* (cos (/ K 2)) -2) (sqrt (+ (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) 1))))) (cbrt (* J (* (* (cos (/ K 2)) -2) (sqrt (+ (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) 1))))))
  (cbrt (* J (* (* (cos (/ K 2)) -2) (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)) (* (* (* J (* (cos (/ K 2)) -2)) (* J (* (cos (/ K 2)) -2))) (* J (* (cos (/ K 2)) -2))))
  (sqrt (* J (* (* (cos (/ K 2)) -2) (sqrt (+ (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) 1)))))
  (sqrt (* J (* (* (cos (/ K 2)) -2) (sqrt (+ (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) 1)))))
  (* (* J -2) (* (cos (/ K 2)) (* (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))))))
  (* (* J (* (cos (/ K 2)) -2)) (fabs (cbrt (+ (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) 1))))
  (* (* J (* (cos (/ K 2)) -2)) (sqrt (sqrt (+ (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) 1))))
  (* J (* (cos (/ K 2)) -2))
  (* (* J (* (cos (/ K 2)) -2)) (sqrt (sqrt (+ (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) 1))))
  (* J (* (cos (/ K 2)) -2))
  (* (* (cos (/ K 2)) -2) (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)))) (/ 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)) (* J -2)) (cos (/ K 2)))
  (* (* J (* (cos (/ K 2)) -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)))
  (real->posit16 (* J (* (* (cos (/ K 2)) -2) (sqrt (+ (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) 1)))))
  1
  (/ 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
  (/ U (* (* 2 J) (cos (/ K 2))))
  (/ U (* (* 2 J) (cos (/ K 2))))
  0
  (* J (* (cos (/ K 2)) -2))
  (* J (* (cos (/ K 2)) -2))
8.493 * * * [progress]: adding candidates to table
10.034 * * [progress]: iteration 3 / 4
10.034 * * * [progress]: picking best candidate
10.098 * * * * [pick]: Picked  #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* (* J (* -2 (cos (/ K 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)))))))>
10.098 * * * [progress]: localizing error
10.213 * * * [progress]: generating rewritten candidates
10.213 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1)
10.377 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 2 1)
10.565 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 2)
10.730 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 2)
10.923 * * * [progress]: generating series expansions
10.923 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1)
10.923 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))
10.923 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U K J) around 0
10.923 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J
10.923 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J
10.923 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
10.923 * [taylor]: Taking taylor expansion of 1/4 in J
10.923 * [backup-simplify]: Simplify 1/4 into 1/4
10.923 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
10.923 * [taylor]: Taking taylor expansion of (pow U 2) in J
10.923 * [taylor]: Taking taylor expansion of U in J
10.924 * [backup-simplify]: Simplify U into U
10.924 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
10.924 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
10.924 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
10.924 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
10.924 * [taylor]: Taking taylor expansion of 1/2 in J
10.924 * [backup-simplify]: Simplify 1/2 into 1/2
10.924 * [taylor]: Taking taylor expansion of K in J
10.924 * [backup-simplify]: Simplify K into K
10.924 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
10.924 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
10.924 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
10.924 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
10.924 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
10.925 * [backup-simplify]: Simplify (- 0) into 0
10.925 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
10.925 * [taylor]: Taking taylor expansion of (pow J 2) in J
10.925 * [taylor]: Taking taylor expansion of J in J
10.925 * [backup-simplify]: Simplify 0 into 0
10.925 * [backup-simplify]: Simplify 1 into 1
10.925 * [backup-simplify]: Simplify (* U U) into (pow U 2)
10.925 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
10.925 * [backup-simplify]: Simplify (* 1 1) into 1
10.926 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
10.926 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
10.926 * [taylor]: Taking taylor expansion of 1 in J
10.926 * [backup-simplify]: Simplify 1 into 1
10.926 * [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)))
10.926 * [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)))
10.926 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
10.927 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
10.927 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.928 * [backup-simplify]: Simplify (+ 0) into 0
10.928 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
10.929 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
10.929 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.930 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
10.930 * [backup-simplify]: Simplify (- 0) into 0
10.930 * [backup-simplify]: Simplify (+ 0 0) into 0
10.931 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
10.931 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
10.932 * [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
10.932 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0
10.933 * [backup-simplify]: Simplify (+ 0 0) into 0
10.933 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
10.933 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K
10.933 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K
10.933 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
10.933 * [taylor]: Taking taylor expansion of 1/4 in K
10.933 * [backup-simplify]: Simplify 1/4 into 1/4
10.933 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
10.933 * [taylor]: Taking taylor expansion of (pow U 2) in K
10.933 * [taylor]: Taking taylor expansion of U in K
10.933 * [backup-simplify]: Simplify U into U
10.933 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
10.933 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
10.933 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
10.933 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
10.933 * [taylor]: Taking taylor expansion of 1/2 in K
10.933 * [backup-simplify]: Simplify 1/2 into 1/2
10.933 * [taylor]: Taking taylor expansion of K in K
10.933 * [backup-simplify]: Simplify 0 into 0
10.933 * [backup-simplify]: Simplify 1 into 1
10.934 * [backup-simplify]: Simplify (* 1/2 0) into 0
10.934 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
10.934 * [taylor]: Taking taylor expansion of (pow J 2) in K
10.934 * [taylor]: Taking taylor expansion of J in K
10.934 * [backup-simplify]: Simplify J into J
10.935 * [backup-simplify]: Simplify (* U U) into (pow U 2)
10.935 * [backup-simplify]: Simplify (* 1 1) into 1
10.935 * [backup-simplify]: Simplify (* J J) into (pow J 2)
10.935 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
10.935 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
10.935 * [taylor]: Taking taylor expansion of 1 in K
10.935 * [backup-simplify]: Simplify 1 into 1
10.935 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2)))
10.936 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
10.936 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
10.936 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
10.936 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
10.936 * [backup-simplify]: Simplify (+ 0) into 0
10.937 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.938 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
10.938 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
10.938 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0
10.939 * [backup-simplify]: Simplify (+ 0 0) into 0
10.939 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
10.939 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
10.939 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
10.939 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
10.939 * [taylor]: Taking taylor expansion of 1/4 in U
10.939 * [backup-simplify]: Simplify 1/4 into 1/4
10.939 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
10.939 * [taylor]: Taking taylor expansion of (pow U 2) in U
10.940 * [taylor]: Taking taylor expansion of U in U
10.940 * [backup-simplify]: Simplify 0 into 0
10.940 * [backup-simplify]: Simplify 1 into 1
10.940 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
10.940 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
10.940 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
10.940 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
10.940 * [taylor]: Taking taylor expansion of 1/2 in U
10.940 * [backup-simplify]: Simplify 1/2 into 1/2
10.940 * [taylor]: Taking taylor expansion of K in U
10.940 * [backup-simplify]: Simplify K into K
10.940 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
10.940 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
10.940 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
10.940 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
10.940 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
10.941 * [backup-simplify]: Simplify (- 0) into 0
10.941 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
10.941 * [taylor]: Taking taylor expansion of (pow J 2) in U
10.941 * [taylor]: Taking taylor expansion of J in U
10.941 * [backup-simplify]: Simplify J into J
10.941 * [backup-simplify]: Simplify (* 1 1) into 1
10.941 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
10.941 * [backup-simplify]: Simplify (* J J) into (pow J 2)
10.941 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
10.942 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
10.942 * [taylor]: Taking taylor expansion of 1 in U
10.942 * [backup-simplify]: Simplify 1 into 1
10.942 * [backup-simplify]: Simplify (+ 0 1) into 1
10.942 * [backup-simplify]: Simplify (sqrt 1) into 1
10.943 * [backup-simplify]: Simplify (+ 0 0) into 0
10.944 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.944 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
10.944 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
10.944 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
10.944 * [taylor]: Taking taylor expansion of 1/4 in U
10.944 * [backup-simplify]: Simplify 1/4 into 1/4
10.944 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
10.944 * [taylor]: Taking taylor expansion of (pow U 2) in U
10.944 * [taylor]: Taking taylor expansion of U in U
10.944 * [backup-simplify]: Simplify 0 into 0
10.944 * [backup-simplify]: Simplify 1 into 1
10.944 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
10.944 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
10.944 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
10.944 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
10.944 * [taylor]: Taking taylor expansion of 1/2 in U
10.944 * [backup-simplify]: Simplify 1/2 into 1/2
10.944 * [taylor]: Taking taylor expansion of K in U
10.944 * [backup-simplify]: Simplify K into K
10.944 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
10.944 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
10.944 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
10.944 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
10.944 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
10.945 * [backup-simplify]: Simplify (- 0) into 0
10.945 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
10.945 * [taylor]: Taking taylor expansion of (pow J 2) in U
10.945 * [taylor]: Taking taylor expansion of J in U
10.945 * [backup-simplify]: Simplify J into J
10.945 * [backup-simplify]: Simplify (* 1 1) into 1
10.945 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
10.945 * [backup-simplify]: Simplify (* J J) into (pow J 2)
10.946 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
10.946 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
10.946 * [taylor]: Taking taylor expansion of 1 in U
10.946 * [backup-simplify]: Simplify 1 into 1
10.946 * [backup-simplify]: Simplify (+ 0 1) into 1
10.947 * [backup-simplify]: Simplify (sqrt 1) into 1
10.947 * [backup-simplify]: Simplify (+ 0 0) into 0
10.948 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.948 * [taylor]: Taking taylor expansion of 1 in K
10.948 * [backup-simplify]: Simplify 1 into 1
10.948 * [taylor]: Taking taylor expansion of 1 in J
10.948 * [backup-simplify]: Simplify 1 into 1
10.948 * [taylor]: Taking taylor expansion of 0 in K
10.948 * [backup-simplify]: Simplify 0 into 0
10.948 * [taylor]: Taking taylor expansion of 0 in J
10.948 * [backup-simplify]: Simplify 0 into 0
10.948 * [taylor]: Taking taylor expansion of 0 in J
10.948 * [backup-simplify]: Simplify 0 into 0
10.948 * [backup-simplify]: Simplify 1 into 1
10.948 * [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)))
10.949 * [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))))
10.950 * [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)))
10.950 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
10.950 * [taylor]: Taking taylor expansion of 1/8 in K
10.950 * [backup-simplify]: Simplify 1/8 into 1/8
10.950 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
10.950 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
10.950 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
10.950 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
10.950 * [taylor]: Taking taylor expansion of 1/2 in K
10.950 * [backup-simplify]: Simplify 1/2 into 1/2
10.950 * [taylor]: Taking taylor expansion of K in K
10.950 * [backup-simplify]: Simplify 0 into 0
10.950 * [backup-simplify]: Simplify 1 into 1
10.951 * [backup-simplify]: Simplify (* 1/2 0) into 0
10.951 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
10.951 * [taylor]: Taking taylor expansion of (pow J 2) in K
10.951 * [taylor]: Taking taylor expansion of J in K
10.951 * [backup-simplify]: Simplify J into J
10.951 * [backup-simplify]: Simplify (* 1 1) into 1
10.951 * [backup-simplify]: Simplify (* J J) into (pow J 2)
10.952 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
10.952 * [backup-simplify]: Simplify (/ 1/8 (pow J 2)) into (/ 1/8 (pow J 2))
10.952 * [taylor]: Taking taylor expansion of (/ 1/8 (pow J 2)) in J
10.952 * [taylor]: Taking taylor expansion of 1/8 in J
10.952 * [backup-simplify]: Simplify 1/8 into 1/8
10.952 * [taylor]: Taking taylor expansion of (pow J 2) in J
10.952 * [taylor]: Taking taylor expansion of J in J
10.952 * [backup-simplify]: Simplify 0 into 0
10.952 * [backup-simplify]: Simplify 1 into 1
10.952 * [backup-simplify]: Simplify (* 1 1) into 1
10.952 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8
10.953 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.953 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0
10.953 * [backup-simplify]: Simplify 0 into 0
10.953 * [taylor]: Taking taylor expansion of 0 in J
10.953 * [backup-simplify]: Simplify 0 into 0
10.953 * [taylor]: Taking taylor expansion of 0 in J
10.953 * [backup-simplify]: Simplify 0 into 0
10.953 * [backup-simplify]: Simplify 0 into 0
10.953 * [backup-simplify]: Simplify 0 into 0
10.953 * [backup-simplify]: Simplify 0 into 0
10.954 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.954 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
10.954 * [backup-simplify]: Simplify (+ 0) into 0
10.954 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
10.955 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
10.955 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.955 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
10.956 * [backup-simplify]: Simplify (- 0) into 0
10.956 * [backup-simplify]: Simplify (+ 0 0) into 0
10.956 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
10.956 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0
10.956 * [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
10.957 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0
10.957 * [backup-simplify]: Simplify (+ 0 0) into 0
10.958 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0
10.958 * [taylor]: Taking taylor expansion of 0 in K
10.958 * [backup-simplify]: Simplify 0 into 0
10.958 * [taylor]: Taking taylor expansion of 0 in J
10.958 * [backup-simplify]: Simplify 0 into 0
10.958 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
10.958 * [backup-simplify]: Simplify (+ 0) into 0
10.958 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.959 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
10.959 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/8 (pow J 2)) (/ 0 (pow J 2))))) into 0
10.959 * [taylor]: Taking taylor expansion of 0 in J
10.959 * [backup-simplify]: Simplify 0 into 0
10.959 * [taylor]: Taking taylor expansion of 0 in J
10.959 * [backup-simplify]: Simplify 0 into 0
10.959 * [taylor]: Taking taylor expansion of 0 in J
10.959 * [backup-simplify]: Simplify 0 into 0
10.960 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.960 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.960 * [backup-simplify]: Simplify 0 into 0
10.960 * [backup-simplify]: Simplify 0 into 0
10.960 * [backup-simplify]: Simplify 1 into 1
10.961 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* (cos (/ (/ 1 K) 2)) (* 2 (/ 1 J)))) (/ (/ 1 U) (* (cos (/ (/ 1 K) 2)) (* 2 (/ 1 J))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
10.961 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U K J) around 0
10.961 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
10.961 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
10.961 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
10.961 * [taylor]: Taking taylor expansion of 1/4 in J
10.961 * [backup-simplify]: Simplify 1/4 into 1/4
10.961 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
10.961 * [taylor]: Taking taylor expansion of (pow J 2) in J
10.961 * [taylor]: Taking taylor expansion of J in J
10.961 * [backup-simplify]: Simplify 0 into 0
10.961 * [backup-simplify]: Simplify 1 into 1
10.961 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
10.961 * [taylor]: Taking taylor expansion of (pow U 2) in J
10.961 * [taylor]: Taking taylor expansion of U in J
10.961 * [backup-simplify]: Simplify U into U
10.961 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
10.961 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
10.961 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
10.961 * [taylor]: Taking taylor expansion of 1/2 in J
10.961 * [backup-simplify]: Simplify 1/2 into 1/2
10.961 * [taylor]: Taking taylor expansion of K in J
10.961 * [backup-simplify]: Simplify K into K
10.961 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
10.961 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
10.961 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
10.961 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
10.961 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
10.961 * [backup-simplify]: Simplify (- 0) into 0
10.961 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
10.962 * [backup-simplify]: Simplify (* 1 1) into 1
10.962 * [backup-simplify]: Simplify (* U U) into (pow U 2)
10.962 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
10.962 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
10.962 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
10.962 * [taylor]: Taking taylor expansion of 1 in J
10.962 * [backup-simplify]: Simplify 1 into 1
10.962 * [backup-simplify]: Simplify (+ 0 1) into 1
10.963 * [backup-simplify]: Simplify (sqrt 1) into 1
10.963 * [backup-simplify]: Simplify (+ 0 0) into 0
10.963 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.963 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K
10.963 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K
10.963 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
10.963 * [taylor]: Taking taylor expansion of 1/4 in K
10.963 * [backup-simplify]: Simplify 1/4 into 1/4
10.964 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
10.964 * [taylor]: Taking taylor expansion of (pow J 2) in K
10.964 * [taylor]: Taking taylor expansion of J in K
10.964 * [backup-simplify]: Simplify J into J
10.964 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
10.964 * [taylor]: Taking taylor expansion of (pow U 2) in K
10.964 * [taylor]: Taking taylor expansion of U in K
10.964 * [backup-simplify]: Simplify U into U
10.964 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
10.964 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
10.964 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
10.964 * [taylor]: Taking taylor expansion of 1/2 in K
10.964 * [backup-simplify]: Simplify 1/2 into 1/2
10.964 * [taylor]: Taking taylor expansion of K in K
10.964 * [backup-simplify]: Simplify 0 into 0
10.964 * [backup-simplify]: Simplify 1 into 1
10.964 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
10.964 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
10.964 * [backup-simplify]: Simplify (* J J) into (pow J 2)
10.964 * [backup-simplify]: Simplify (* U U) into (pow U 2)
10.964 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
10.965 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
10.965 * [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)))
10.965 * [taylor]: Taking taylor expansion of 1 in K
10.965 * [backup-simplify]: Simplify 1 into 1
10.965 * [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))))
10.965 * [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)
10.965 * [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))
10.965 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
10.965 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
10.965 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
10.966 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
10.966 * [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
10.968 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
10.968 * [backup-simplify]: Simplify (+ 0 0) into 0
10.968 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
10.968 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
10.968 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
10.968 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
10.968 * [taylor]: Taking taylor expansion of 1/4 in U
10.968 * [backup-simplify]: Simplify 1/4 into 1/4
10.968 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
10.968 * [taylor]: Taking taylor expansion of (pow J 2) in U
10.968 * [taylor]: Taking taylor expansion of J in U
10.969 * [backup-simplify]: Simplify J into J
10.969 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
10.969 * [taylor]: Taking taylor expansion of (pow U 2) in U
10.969 * [taylor]: Taking taylor expansion of U in U
10.969 * [backup-simplify]: Simplify 0 into 0
10.969 * [backup-simplify]: Simplify 1 into 1
10.969 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
10.969 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
10.969 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
10.969 * [taylor]: Taking taylor expansion of 1/2 in U
10.969 * [backup-simplify]: Simplify 1/2 into 1/2
10.969 * [taylor]: Taking taylor expansion of K in U
10.969 * [backup-simplify]: Simplify K into K
10.969 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
10.969 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
10.969 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
10.969 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
10.969 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
10.969 * [backup-simplify]: Simplify (- 0) into 0
10.969 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
10.969 * [backup-simplify]: Simplify (* J J) into (pow J 2)
10.970 * [backup-simplify]: Simplify (* 1 1) into 1
10.970 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
10.970 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
10.970 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
10.970 * [taylor]: Taking taylor expansion of 1 in U
10.970 * [backup-simplify]: Simplify 1 into 1
10.970 * [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)))
10.970 * [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)))
10.970 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
10.971 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
10.971 * [backup-simplify]: Simplify (+ 0) into 0
10.971 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
10.971 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
10.972 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.972 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
10.972 * [backup-simplify]: Simplify (- 0) into 0
10.972 * [backup-simplify]: Simplify (+ 0 0) into 0
10.973 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
10.973 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.973 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
10.973 * [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
10.974 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
10.974 * [backup-simplify]: Simplify (+ 0 0) into 0
10.974 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
10.974 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
10.974 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
10.974 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
10.974 * [taylor]: Taking taylor expansion of 1/4 in U
10.974 * [backup-simplify]: Simplify 1/4 into 1/4
10.974 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
10.974 * [taylor]: Taking taylor expansion of (pow J 2) in U
10.974 * [taylor]: Taking taylor expansion of J in U
10.974 * [backup-simplify]: Simplify J into J
10.974 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
10.975 * [taylor]: Taking taylor expansion of (pow U 2) in U
10.975 * [taylor]: Taking taylor expansion of U in U
10.975 * [backup-simplify]: Simplify 0 into 0
10.975 * [backup-simplify]: Simplify 1 into 1
10.975 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
10.975 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
10.975 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
10.975 * [taylor]: Taking taylor expansion of 1/2 in U
10.975 * [backup-simplify]: Simplify 1/2 into 1/2
10.975 * [taylor]: Taking taylor expansion of K in U
10.975 * [backup-simplify]: Simplify K into K
10.975 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
10.975 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
10.975 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
10.975 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
10.975 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
10.975 * [backup-simplify]: Simplify (- 0) into 0
10.975 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
10.975 * [backup-simplify]: Simplify (* J J) into (pow J 2)
10.975 * [backup-simplify]: Simplify (* 1 1) into 1
10.976 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
10.976 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
10.976 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
10.976 * [taylor]: Taking taylor expansion of 1 in U
10.976 * [backup-simplify]: Simplify 1 into 1
10.976 * [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)))
10.976 * [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)))
10.976 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
10.976 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
10.977 * [backup-simplify]: Simplify (+ 0) into 0
10.977 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
10.977 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
10.977 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.978 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
10.978 * [backup-simplify]: Simplify (- 0) into 0
10.978 * [backup-simplify]: Simplify (+ 0 0) into 0
10.978 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
10.979 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.979 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
10.979 * [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
10.980 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
10.980 * [backup-simplify]: Simplify (+ 0 0) into 0
10.980 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
10.980 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in K
10.980 * [taylor]: Taking taylor expansion of 1/2 in K
10.980 * [backup-simplify]: Simplify 1/2 into 1/2
10.980 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in K
10.980 * [taylor]: Taking taylor expansion of J in K
10.980 * [backup-simplify]: Simplify J into J
10.980 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
10.980 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
10.980 * [taylor]: Taking taylor expansion of 1/2 in K
10.980 * [backup-simplify]: Simplify 1/2 into 1/2
10.980 * [taylor]: Taking taylor expansion of K in K
10.980 * [backup-simplify]: Simplify 0 into 0
10.980 * [backup-simplify]: Simplify 1 into 1
10.981 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
10.981 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
10.981 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K)))
10.981 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
10.981 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J
10.981 * [taylor]: Taking taylor expansion of 1/2 in J
10.981 * [backup-simplify]: Simplify 1/2 into 1/2
10.981 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J
10.981 * [taylor]: Taking taylor expansion of J in J
10.981 * [backup-simplify]: Simplify 0 into 0
10.981 * [backup-simplify]: Simplify 1 into 1
10.981 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
10.981 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
10.981 * [taylor]: Taking taylor expansion of 1/2 in J
10.981 * [backup-simplify]: Simplify 1/2 into 1/2
10.981 * [taylor]: Taking taylor expansion of K in J
10.981 * [backup-simplify]: Simplify K into K
10.981 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
10.981 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
10.981 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
10.981 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
10.981 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
10.982 * [backup-simplify]: Simplify (- 0) into 0
10.982 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
10.982 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K)))
10.982 * [taylor]: Taking taylor expansion of 0 in K
10.982 * [backup-simplify]: Simplify 0 into 0
10.982 * [taylor]: Taking taylor expansion of 0 in J
10.982 * [backup-simplify]: Simplify 0 into 0
10.982 * [backup-simplify]: Simplify 0 into 0
10.982 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
10.982 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0
10.982 * [taylor]: Taking taylor expansion of 0 in J
10.982 * [backup-simplify]: Simplify 0 into 0
10.982 * [backup-simplify]: Simplify 0 into 0
10.983 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K)))
10.983 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
10.983 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
10.983 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.984 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
10.984 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
10.984 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.985 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
10.985 * [backup-simplify]: Simplify (- 0) into 0
10.985 * [backup-simplify]: Simplify (+ 0 0) into 0
10.986 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
10.986 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.987 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
10.987 * [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
10.988 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0
10.988 * [backup-simplify]: Simplify (+ 0 1) into 1
10.988 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J)
10.988 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K
10.988 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
10.989 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
10.989 * [taylor]: Taking taylor expansion of 1/2 in K
10.989 * [backup-simplify]: Simplify 1/2 into 1/2
10.989 * [taylor]: Taking taylor expansion of K in K
10.989 * [backup-simplify]: Simplify 0 into 0
10.989 * [backup-simplify]: Simplify 1 into 1
10.989 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
10.989 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
10.989 * [taylor]: Taking taylor expansion of J in K
10.989 * [backup-simplify]: Simplify J into J
10.989 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
10.989 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
10.989 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
10.989 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
10.989 * [taylor]: Taking taylor expansion of 1/2 in J
10.989 * [backup-simplify]: Simplify 1/2 into 1/2
10.989 * [taylor]: Taking taylor expansion of K in J
10.989 * [backup-simplify]: Simplify K into K
10.989 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
10.989 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
10.989 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
10.989 * [taylor]: Taking taylor expansion of J in J
10.989 * [backup-simplify]: Simplify 0 into 0
10.989 * [backup-simplify]: Simplify 1 into 1
10.989 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
10.990 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
10.990 * [backup-simplify]: Simplify (- 0) into 0
10.990 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
10.990 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
10.990 * [backup-simplify]: Simplify (+ 0) into 0
10.991 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
10.991 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
10.991 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.991 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
10.992 * [backup-simplify]: Simplify (- 0) into 0
10.992 * [backup-simplify]: Simplify (+ 0 0) into 0
10.992 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0
10.993 * [backup-simplify]: Simplify 0 into 0
10.993 * [taylor]: Taking taylor expansion of 0 in J
10.993 * [backup-simplify]: Simplify 0 into 0
10.993 * [backup-simplify]: Simplify 0 into 0
10.993 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0
10.993 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0
10.993 * [taylor]: Taking taylor expansion of 0 in J
10.993 * [backup-simplify]: Simplify 0 into 0
10.993 * [backup-simplify]: Simplify 0 into 0
10.993 * [backup-simplify]: Simplify 0 into 0
10.994 * [backup-simplify]: Simplify 0 into 0
10.994 * [backup-simplify]: Simplify (+ 0) into 0
10.994 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
10.994 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
10.995 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.995 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
10.995 * [backup-simplify]: Simplify (- 0) into 0
10.996 * [backup-simplify]: Simplify (+ 0 0) into 0
10.996 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
10.996 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0
10.996 * [backup-simplify]: Simplify 0 into 0
10.996 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* (/ 1 J) (* 1 (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
10.997 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J))))) (/ (/ 1 (- U)) (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J)))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))
10.997 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U K J) around 0
10.997 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
10.997 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
10.997 * [taylor]: Taking taylor expansion of 1 in J
10.997 * [backup-simplify]: Simplify 1 into 1
10.997 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
10.997 * [taylor]: Taking taylor expansion of 1/4 in J
10.997 * [backup-simplify]: Simplify 1/4 into 1/4
10.997 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
10.997 * [taylor]: Taking taylor expansion of (pow J 2) in J
10.997 * [taylor]: Taking taylor expansion of J in J
10.997 * [backup-simplify]: Simplify 0 into 0
10.997 * [backup-simplify]: Simplify 1 into 1
10.997 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
10.997 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
10.997 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
10.997 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
10.997 * [taylor]: Taking taylor expansion of -1/2 in J
10.997 * [backup-simplify]: Simplify -1/2 into -1/2
10.997 * [taylor]: Taking taylor expansion of K in J
10.997 * [backup-simplify]: Simplify K into K
10.997 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
10.997 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
10.997 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
10.997 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
10.997 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
10.998 * [backup-simplify]: Simplify (- 0) into 0
10.998 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
10.998 * [taylor]: Taking taylor expansion of (pow U 2) in J
10.998 * [taylor]: Taking taylor expansion of U in J
10.998 * [backup-simplify]: Simplify U into U
10.998 * [backup-simplify]: Simplify (* 1 1) into 1
10.998 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
10.998 * [backup-simplify]: Simplify (* U U) into (pow U 2)
10.998 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
10.998 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
10.999 * [backup-simplify]: Simplify (+ 1 0) into 1
10.999 * [backup-simplify]: Simplify (sqrt 1) into 1
10.999 * [backup-simplify]: Simplify (+ 0 0) into 0
10.999 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.999 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K
10.999 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K
10.999 * [taylor]: Taking taylor expansion of 1 in K
11.000 * [backup-simplify]: Simplify 1 into 1
11.000 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
11.000 * [taylor]: Taking taylor expansion of 1/4 in K
11.000 * [backup-simplify]: Simplify 1/4 into 1/4
11.000 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
11.000 * [taylor]: Taking taylor expansion of (pow J 2) in K
11.000 * [taylor]: Taking taylor expansion of J in K
11.000 * [backup-simplify]: Simplify J into J
11.000 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
11.000 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
11.000 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
11.000 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
11.000 * [taylor]: Taking taylor expansion of -1/2 in K
11.000 * [backup-simplify]: Simplify -1/2 into -1/2
11.000 * [taylor]: Taking taylor expansion of K in K
11.000 * [backup-simplify]: Simplify 0 into 0
11.000 * [backup-simplify]: Simplify 1 into 1
11.000 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
11.000 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
11.000 * [taylor]: Taking taylor expansion of (pow U 2) in K
11.000 * [taylor]: Taking taylor expansion of U in K
11.000 * [backup-simplify]: Simplify U into U
11.000 * [backup-simplify]: Simplify (* J J) into (pow J 2)
11.000 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
11.000 * [backup-simplify]: Simplify (* U U) into (pow U 2)
11.000 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
11.001 * [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)))
11.001 * [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))))
11.001 * [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)))))
11.001 * [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))))))
11.001 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
11.001 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
11.001 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
11.001 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
11.002 * [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
11.002 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
11.002 * [backup-simplify]: Simplify (+ 0 0) into 0
11.003 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0
11.003 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
11.003 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
11.003 * [taylor]: Taking taylor expansion of 1 in U
11.003 * [backup-simplify]: Simplify 1 into 1
11.003 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
11.003 * [taylor]: Taking taylor expansion of 1/4 in U
11.003 * [backup-simplify]: Simplify 1/4 into 1/4
11.003 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
11.003 * [taylor]: Taking taylor expansion of (pow J 2) in U
11.003 * [taylor]: Taking taylor expansion of J in U
11.003 * [backup-simplify]: Simplify J into J
11.003 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
11.003 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
11.003 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
11.003 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
11.003 * [taylor]: Taking taylor expansion of -1/2 in U
11.003 * [backup-simplify]: Simplify -1/2 into -1/2
11.003 * [taylor]: Taking taylor expansion of K in U
11.003 * [backup-simplify]: Simplify K into K
11.003 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
11.003 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
11.003 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
11.003 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
11.003 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
11.004 * [backup-simplify]: Simplify (- 0) into 0
11.004 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
11.004 * [taylor]: Taking taylor expansion of (pow U 2) in U
11.004 * [taylor]: Taking taylor expansion of U in U
11.004 * [backup-simplify]: Simplify 0 into 0
11.004 * [backup-simplify]: Simplify 1 into 1
11.004 * [backup-simplify]: Simplify (* J J) into (pow J 2)
11.004 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
11.004 * [backup-simplify]: Simplify (* 1 1) into 1
11.004 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
11.004 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
11.004 * [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)))
11.005 * [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)))
11.005 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
11.005 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
11.005 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.005 * [backup-simplify]: Simplify (+ 0) into 0
11.006 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
11.006 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
11.006 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.007 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
11.007 * [backup-simplify]: Simplify (- 0) into 0
11.007 * [backup-simplify]: Simplify (+ 0 0) into 0
11.007 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
11.007 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
11.008 * [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
11.008 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
11.008 * [backup-simplify]: Simplify (+ 0 0) into 0
11.008 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
11.009 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
11.009 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
11.009 * [taylor]: Taking taylor expansion of 1 in U
11.009 * [backup-simplify]: Simplify 1 into 1
11.009 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
11.009 * [taylor]: Taking taylor expansion of 1/4 in U
11.009 * [backup-simplify]: Simplify 1/4 into 1/4
11.009 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
11.009 * [taylor]: Taking taylor expansion of (pow J 2) in U
11.009 * [taylor]: Taking taylor expansion of J in U
11.009 * [backup-simplify]: Simplify J into J
11.009 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
11.009 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
11.009 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
11.009 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
11.009 * [taylor]: Taking taylor expansion of -1/2 in U
11.009 * [backup-simplify]: Simplify -1/2 into -1/2
11.009 * [taylor]: Taking taylor expansion of K in U
11.009 * [backup-simplify]: Simplify K into K
11.009 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
11.009 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
11.009 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
11.009 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
11.009 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
11.009 * [backup-simplify]: Simplify (- 0) into 0
11.009 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
11.009 * [taylor]: Taking taylor expansion of (pow U 2) in U
11.009 * [taylor]: Taking taylor expansion of U in U
11.009 * [backup-simplify]: Simplify 0 into 0
11.009 * [backup-simplify]: Simplify 1 into 1
11.009 * [backup-simplify]: Simplify (* J J) into (pow J 2)
11.010 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
11.010 * [backup-simplify]: Simplify (* 1 1) into 1
11.010 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
11.010 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
11.010 * [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)))
11.010 * [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)))
11.010 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
11.010 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
11.011 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.011 * [backup-simplify]: Simplify (+ 0) into 0
11.012 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
11.012 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
11.013 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.013 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
11.014 * [backup-simplify]: Simplify (- 0) into 0
11.014 * [backup-simplify]: Simplify (+ 0 0) into 0
11.014 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
11.015 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
11.015 * [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))))) into 0
11.016 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
11.016 * [backup-simplify]: Simplify (+ 0 0) into 0
11.017 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
11.017 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in K
11.017 * [taylor]: Taking taylor expansion of 1/2 in K
11.017 * [backup-simplify]: Simplify 1/2 into 1/2
11.017 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in K
11.017 * [taylor]: Taking taylor expansion of J in K
11.017 * [backup-simplify]: Simplify J into J
11.017 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
11.017 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
11.017 * [taylor]: Taking taylor expansion of -1/2 in K
11.017 * [backup-simplify]: Simplify -1/2 into -1/2
11.017 * [taylor]: Taking taylor expansion of K in K
11.017 * [backup-simplify]: Simplify 0 into 0
11.017 * [backup-simplify]: Simplify 1 into 1
11.018 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
11.018 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
11.018 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K)))
11.018 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
11.018 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J
11.018 * [taylor]: Taking taylor expansion of 1/2 in J
11.018 * [backup-simplify]: Simplify 1/2 into 1/2
11.018 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J
11.018 * [taylor]: Taking taylor expansion of J in J
11.018 * [backup-simplify]: Simplify 0 into 0
11.018 * [backup-simplify]: Simplify 1 into 1
11.018 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
11.018 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
11.018 * [taylor]: Taking taylor expansion of -1/2 in J
11.018 * [backup-simplify]: Simplify -1/2 into -1/2
11.018 * [taylor]: Taking taylor expansion of K in J
11.018 * [backup-simplify]: Simplify K into K
11.018 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
11.018 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
11.019 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
11.019 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
11.019 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
11.019 * [backup-simplify]: Simplify (- 0) into 0
11.019 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
11.019 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K)))
11.020 * [taylor]: Taking taylor expansion of 0 in K
11.020 * [backup-simplify]: Simplify 0 into 0
11.020 * [taylor]: Taking taylor expansion of 0 in J
11.020 * [backup-simplify]: Simplify 0 into 0
11.020 * [backup-simplify]: Simplify 0 into 0
11.020 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
11.021 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0
11.021 * [taylor]: Taking taylor expansion of 0 in J
11.021 * [backup-simplify]: Simplify 0 into 0
11.021 * [backup-simplify]: Simplify 0 into 0
11.021 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K)))
11.021 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
11.021 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
11.022 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.023 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.024 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
11.024 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
11.025 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.026 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
11.026 * [backup-simplify]: Simplify (- 0) into 0
11.027 * [backup-simplify]: Simplify (+ 0 0) into 0
11.027 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
11.028 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
11.029 * [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
11.030 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0
11.030 * [backup-simplify]: Simplify (+ 1 0) into 1
11.031 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J)
11.031 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K
11.031 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
11.031 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
11.031 * [taylor]: Taking taylor expansion of -1/2 in K
11.031 * [backup-simplify]: Simplify -1/2 into -1/2
11.031 * [taylor]: Taking taylor expansion of K in K
11.031 * [backup-simplify]: Simplify 0 into 0
11.031 * [backup-simplify]: Simplify 1 into 1
11.032 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
11.032 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
11.032 * [taylor]: Taking taylor expansion of J in K
11.032 * [backup-simplify]: Simplify J into J
11.032 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
11.032 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
11.032 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
11.032 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
11.032 * [taylor]: Taking taylor expansion of -1/2 in J
11.032 * [backup-simplify]: Simplify -1/2 into -1/2
11.032 * [taylor]: Taking taylor expansion of K in J
11.032 * [backup-simplify]: Simplify K into K
11.032 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
11.033 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
11.033 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
11.033 * [taylor]: Taking taylor expansion of J in J
11.033 * [backup-simplify]: Simplify 0 into 0
11.033 * [backup-simplify]: Simplify 1 into 1
11.033 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
11.033 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
11.033 * [backup-simplify]: Simplify (- 0) into 0
11.033 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
11.034 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
11.034 * [backup-simplify]: Simplify (+ 0) into 0
11.035 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
11.035 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
11.037 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.037 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
11.038 * [backup-simplify]: Simplify (- 0) into 0
11.038 * [backup-simplify]: Simplify (+ 0 0) into 0
11.038 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0
11.039 * [backup-simplify]: Simplify 0 into 0
11.039 * [taylor]: Taking taylor expansion of 0 in J
11.039 * [backup-simplify]: Simplify 0 into 0
11.039 * [backup-simplify]: Simplify 0 into 0
11.039 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0
11.039 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0
11.039 * [taylor]: Taking taylor expansion of 0 in J
11.040 * [backup-simplify]: Simplify 0 into 0
11.040 * [backup-simplify]: Simplify 0 into 0
11.040 * [backup-simplify]: Simplify 0 into 0
11.040 * [backup-simplify]: Simplify 0 into 0
11.040 * [backup-simplify]: Simplify (+ 0) into 0
11.040 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
11.041 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
11.041 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.041 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
11.042 * [backup-simplify]: Simplify (- 0) into 0
11.042 * [backup-simplify]: Simplify (+ 0 0) into 0
11.042 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
11.042 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0
11.042 * [backup-simplify]: Simplify 0 into 0
11.042 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (- J)) (* 1 (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
11.042 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 2 1)
11.043 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))
11.043 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U K J) around 0
11.043 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J
11.043 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J
11.043 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
11.043 * [taylor]: Taking taylor expansion of 1/4 in J
11.043 * [backup-simplify]: Simplify 1/4 into 1/4
11.043 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
11.043 * [taylor]: Taking taylor expansion of (pow U 2) in J
11.043 * [taylor]: Taking taylor expansion of U in J
11.043 * [backup-simplify]: Simplify U into U
11.043 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
11.043 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
11.043 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
11.043 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
11.043 * [taylor]: Taking taylor expansion of 1/2 in J
11.043 * [backup-simplify]: Simplify 1/2 into 1/2
11.043 * [taylor]: Taking taylor expansion of K in J
11.043 * [backup-simplify]: Simplify K into K
11.043 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
11.043 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
11.043 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
11.043 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
11.043 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
11.044 * [backup-simplify]: Simplify (- 0) into 0
11.044 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
11.044 * [taylor]: Taking taylor expansion of (pow J 2) in J
11.044 * [taylor]: Taking taylor expansion of J in J
11.044 * [backup-simplify]: Simplify 0 into 0
11.044 * [backup-simplify]: Simplify 1 into 1
11.044 * [backup-simplify]: Simplify (* U U) into (pow U 2)
11.044 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
11.044 * [backup-simplify]: Simplify (* 1 1) into 1
11.044 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
11.044 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
11.044 * [taylor]: Taking taylor expansion of 1 in J
11.044 * [backup-simplify]: Simplify 1 into 1
11.044 * [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)))
11.045 * [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)))
11.045 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
11.045 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
11.045 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.045 * [backup-simplify]: Simplify (+ 0) into 0
11.046 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
11.046 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
11.046 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.047 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
11.047 * [backup-simplify]: Simplify (- 0) into 0
11.047 * [backup-simplify]: Simplify (+ 0 0) into 0
11.047 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
11.048 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
11.048 * [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
11.048 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0
11.048 * [backup-simplify]: Simplify (+ 0 0) into 0
11.049 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
11.049 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K
11.049 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K
11.049 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
11.049 * [taylor]: Taking taylor expansion of 1/4 in K
11.049 * [backup-simplify]: Simplify 1/4 into 1/4
11.049 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
11.049 * [taylor]: Taking taylor expansion of (pow U 2) in K
11.049 * [taylor]: Taking taylor expansion of U in K
11.049 * [backup-simplify]: Simplify U into U
11.049 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
11.049 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
11.049 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
11.049 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
11.049 * [taylor]: Taking taylor expansion of 1/2 in K
11.049 * [backup-simplify]: Simplify 1/2 into 1/2
11.049 * [taylor]: Taking taylor expansion of K in K
11.049 * [backup-simplify]: Simplify 0 into 0
11.049 * [backup-simplify]: Simplify 1 into 1
11.049 * [backup-simplify]: Simplify (* 1/2 0) into 0
11.050 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
11.050 * [taylor]: Taking taylor expansion of (pow J 2) in K
11.050 * [taylor]: Taking taylor expansion of J in K
11.050 * [backup-simplify]: Simplify J into J
11.050 * [backup-simplify]: Simplify (* U U) into (pow U 2)
11.050 * [backup-simplify]: Simplify (* 1 1) into 1
11.050 * [backup-simplify]: Simplify (* J J) into (pow J 2)
11.050 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
11.050 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
11.050 * [taylor]: Taking taylor expansion of 1 in K
11.050 * [backup-simplify]: Simplify 1 into 1
11.050 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2)))
11.050 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
11.051 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
11.051 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
11.051 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
11.051 * [backup-simplify]: Simplify (+ 0) into 0
11.051 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.052 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
11.052 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
11.052 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0
11.052 * [backup-simplify]: Simplify (+ 0 0) into 0
11.053 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
11.053 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
11.053 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
11.053 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
11.053 * [taylor]: Taking taylor expansion of 1/4 in U
11.053 * [backup-simplify]: Simplify 1/4 into 1/4
11.053 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
11.053 * [taylor]: Taking taylor expansion of (pow U 2) in U
11.053 * [taylor]: Taking taylor expansion of U in U
11.053 * [backup-simplify]: Simplify 0 into 0
11.053 * [backup-simplify]: Simplify 1 into 1
11.053 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
11.053 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
11.053 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
11.053 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
11.053 * [taylor]: Taking taylor expansion of 1/2 in U
11.053 * [backup-simplify]: Simplify 1/2 into 1/2
11.053 * [taylor]: Taking taylor expansion of K in U
11.053 * [backup-simplify]: Simplify K into K
11.053 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
11.053 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
11.053 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
11.053 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
11.053 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
11.053 * [backup-simplify]: Simplify (- 0) into 0
11.053 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
11.053 * [taylor]: Taking taylor expansion of (pow J 2) in U
11.054 * [taylor]: Taking taylor expansion of J in U
11.054 * [backup-simplify]: Simplify J into J
11.054 * [backup-simplify]: Simplify (* 1 1) into 1
11.054 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
11.054 * [backup-simplify]: Simplify (* J J) into (pow J 2)
11.054 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
11.054 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
11.054 * [taylor]: Taking taylor expansion of 1 in U
11.054 * [backup-simplify]: Simplify 1 into 1
11.054 * [backup-simplify]: Simplify (+ 0 1) into 1
11.055 * [backup-simplify]: Simplify (sqrt 1) into 1
11.055 * [backup-simplify]: Simplify (+ 0 0) into 0
11.055 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.055 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
11.055 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
11.055 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
11.055 * [taylor]: Taking taylor expansion of 1/4 in U
11.055 * [backup-simplify]: Simplify 1/4 into 1/4
11.055 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
11.055 * [taylor]: Taking taylor expansion of (pow U 2) in U
11.055 * [taylor]: Taking taylor expansion of U in U
11.055 * [backup-simplify]: Simplify 0 into 0
11.055 * [backup-simplify]: Simplify 1 into 1
11.056 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
11.056 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
11.056 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
11.056 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
11.056 * [taylor]: Taking taylor expansion of 1/2 in U
11.056 * [backup-simplify]: Simplify 1/2 into 1/2
11.056 * [taylor]: Taking taylor expansion of K in U
11.056 * [backup-simplify]: Simplify K into K
11.056 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
11.056 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
11.056 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
11.056 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
11.056 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
11.056 * [backup-simplify]: Simplify (- 0) into 0
11.056 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
11.056 * [taylor]: Taking taylor expansion of (pow J 2) in U
11.056 * [taylor]: Taking taylor expansion of J in U
11.056 * [backup-simplify]: Simplify J into J
11.056 * [backup-simplify]: Simplify (* 1 1) into 1
11.057 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
11.057 * [backup-simplify]: Simplify (* J J) into (pow J 2)
11.057 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
11.057 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
11.057 * [taylor]: Taking taylor expansion of 1 in U
11.057 * [backup-simplify]: Simplify 1 into 1
11.057 * [backup-simplify]: Simplify (+ 0 1) into 1
11.057 * [backup-simplify]: Simplify (sqrt 1) into 1
11.058 * [backup-simplify]: Simplify (+ 0 0) into 0
11.058 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.058 * [taylor]: Taking taylor expansion of 1 in K
11.058 * [backup-simplify]: Simplify 1 into 1
11.058 * [taylor]: Taking taylor expansion of 1 in J
11.058 * [backup-simplify]: Simplify 1 into 1
11.058 * [taylor]: Taking taylor expansion of 0 in K
11.058 * [backup-simplify]: Simplify 0 into 0
11.058 * [taylor]: Taking taylor expansion of 0 in J
11.058 * [backup-simplify]: Simplify 0 into 0
11.058 * [taylor]: Taking taylor expansion of 0 in J
11.058 * [backup-simplify]: Simplify 0 into 0
11.058 * [backup-simplify]: Simplify 1 into 1
11.058 * [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)))
11.059 * [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))))
11.059 * [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)))
11.059 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
11.059 * [taylor]: Taking taylor expansion of 1/8 in K
11.059 * [backup-simplify]: Simplify 1/8 into 1/8
11.059 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
11.059 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
11.059 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
11.060 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
11.060 * [taylor]: Taking taylor expansion of 1/2 in K
11.060 * [backup-simplify]: Simplify 1/2 into 1/2
11.060 * [taylor]: Taking taylor expansion of K in K
11.060 * [backup-simplify]: Simplify 0 into 0
11.060 * [backup-simplify]: Simplify 1 into 1
11.060 * [backup-simplify]: Simplify (* 1/2 0) into 0
11.060 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
11.060 * [taylor]: Taking taylor expansion of (pow J 2) in K
11.060 * [taylor]: Taking taylor expansion of J in K
11.060 * [backup-simplify]: Simplify J into J
11.061 * [backup-simplify]: Simplify (* 1 1) into 1
11.061 * [backup-simplify]: Simplify (* J J) into (pow J 2)
11.061 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
11.061 * [backup-simplify]: Simplify (/ 1/8 (pow J 2)) into (/ 1/8 (pow J 2))
11.061 * [taylor]: Taking taylor expansion of (/ 1/8 (pow J 2)) in J
11.061 * [taylor]: Taking taylor expansion of 1/8 in J
11.061 * [backup-simplify]: Simplify 1/8 into 1/8
11.061 * [taylor]: Taking taylor expansion of (pow J 2) in J
11.061 * [taylor]: Taking taylor expansion of J in J
11.061 * [backup-simplify]: Simplify 0 into 0
11.061 * [backup-simplify]: Simplify 1 into 1
11.061 * [backup-simplify]: Simplify (* 1 1) into 1
11.061 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8
11.062 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.062 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0
11.062 * [backup-simplify]: Simplify 0 into 0
11.062 * [taylor]: Taking taylor expansion of 0 in J
11.062 * [backup-simplify]: Simplify 0 into 0
11.062 * [taylor]: Taking taylor expansion of 0 in J
11.062 * [backup-simplify]: Simplify 0 into 0
11.062 * [backup-simplify]: Simplify 0 into 0
11.062 * [backup-simplify]: Simplify 0 into 0
11.062 * [backup-simplify]: Simplify 0 into 0
11.063 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.063 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
11.063 * [backup-simplify]: Simplify (+ 0) into 0
11.064 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
11.064 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
11.064 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.065 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
11.065 * [backup-simplify]: Simplify (- 0) into 0
11.065 * [backup-simplify]: Simplify (+ 0 0) into 0
11.065 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
11.065 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0
11.066 * [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
11.066 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0
11.066 * [backup-simplify]: Simplify (+ 0 0) into 0
11.067 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0
11.067 * [taylor]: Taking taylor expansion of 0 in K
11.067 * [backup-simplify]: Simplify 0 into 0
11.067 * [taylor]: Taking taylor expansion of 0 in J
11.067 * [backup-simplify]: Simplify 0 into 0
11.067 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
11.067 * [backup-simplify]: Simplify (+ 0) into 0
11.068 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.068 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
11.069 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/8 (pow J 2)) (/ 0 (pow J 2))))) into 0
11.069 * [taylor]: Taking taylor expansion of 0 in J
11.069 * [backup-simplify]: Simplify 0 into 0
11.069 * [taylor]: Taking taylor expansion of 0 in J
11.069 * [backup-simplify]: Simplify 0 into 0
11.069 * [taylor]: Taking taylor expansion of 0 in J
11.069 * [backup-simplify]: Simplify 0 into 0
11.070 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.071 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.071 * [backup-simplify]: Simplify 0 into 0
11.071 * [backup-simplify]: Simplify 0 into 0
11.071 * [backup-simplify]: Simplify 1 into 1
11.072 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* (cos (/ (/ 1 K) 2)) (* 2 (/ 1 J)))) (/ (/ 1 U) (* (cos (/ (/ 1 K) 2)) (* 2 (/ 1 J))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
11.072 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U K J) around 0
11.072 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
11.072 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
11.072 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
11.072 * [taylor]: Taking taylor expansion of 1/4 in J
11.072 * [backup-simplify]: Simplify 1/4 into 1/4
11.072 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
11.072 * [taylor]: Taking taylor expansion of (pow J 2) in J
11.072 * [taylor]: Taking taylor expansion of J in J
11.072 * [backup-simplify]: Simplify 0 into 0
11.072 * [backup-simplify]: Simplify 1 into 1
11.072 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
11.072 * [taylor]: Taking taylor expansion of (pow U 2) in J
11.072 * [taylor]: Taking taylor expansion of U in J
11.072 * [backup-simplify]: Simplify U into U
11.072 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
11.072 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
11.072 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
11.072 * [taylor]: Taking taylor expansion of 1/2 in J
11.072 * [backup-simplify]: Simplify 1/2 into 1/2
11.072 * [taylor]: Taking taylor expansion of K in J
11.072 * [backup-simplify]: Simplify K into K
11.072 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
11.072 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
11.073 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
11.073 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
11.073 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
11.073 * [backup-simplify]: Simplify (- 0) into 0
11.073 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
11.074 * [backup-simplify]: Simplify (* 1 1) into 1
11.074 * [backup-simplify]: Simplify (* U U) into (pow U 2)
11.074 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
11.074 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
11.074 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
11.074 * [taylor]: Taking taylor expansion of 1 in J
11.074 * [backup-simplify]: Simplify 1 into 1
11.075 * [backup-simplify]: Simplify (+ 0 1) into 1
11.075 * [backup-simplify]: Simplify (sqrt 1) into 1
11.076 * [backup-simplify]: Simplify (+ 0 0) into 0
11.076 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.076 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K
11.077 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K
11.077 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
11.077 * [taylor]: Taking taylor expansion of 1/4 in K
11.077 * [backup-simplify]: Simplify 1/4 into 1/4
11.077 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
11.077 * [taylor]: Taking taylor expansion of (pow J 2) in K
11.077 * [taylor]: Taking taylor expansion of J in K
11.077 * [backup-simplify]: Simplify J into J
11.077 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
11.077 * [taylor]: Taking taylor expansion of (pow U 2) in K
11.077 * [taylor]: Taking taylor expansion of U in K
11.077 * [backup-simplify]: Simplify U into U
11.077 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
11.077 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
11.077 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
11.077 * [taylor]: Taking taylor expansion of 1/2 in K
11.077 * [backup-simplify]: Simplify 1/2 into 1/2
11.077 * [taylor]: Taking taylor expansion of K in K
11.077 * [backup-simplify]: Simplify 0 into 0
11.077 * [backup-simplify]: Simplify 1 into 1
11.079 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.080 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
11.080 * [backup-simplify]: Simplify (* J J) into (pow J 2)
11.080 * [backup-simplify]: Simplify (* U U) into (pow U 2)
11.080 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
11.080 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
11.080 * [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)))
11.080 * [taylor]: Taking taylor expansion of 1 in K
11.081 * [backup-simplify]: Simplify 1 into 1
11.081 * [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))))
11.081 * [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)
11.082 * [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))
11.082 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
11.082 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
11.082 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
11.082 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
11.083 * [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
11.084 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
11.084 * [backup-simplify]: Simplify (+ 0 0) into 0
11.085 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
11.085 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
11.085 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
11.085 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
11.085 * [taylor]: Taking taylor expansion of 1/4 in U
11.085 * [backup-simplify]: Simplify 1/4 into 1/4
11.085 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
11.085 * [taylor]: Taking taylor expansion of (pow J 2) in U
11.085 * [taylor]: Taking taylor expansion of J in U
11.085 * [backup-simplify]: Simplify J into J
11.085 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
11.085 * [taylor]: Taking taylor expansion of (pow U 2) in U
11.085 * [taylor]: Taking taylor expansion of U in U
11.085 * [backup-simplify]: Simplify 0 into 0
11.085 * [backup-simplify]: Simplify 1 into 1
11.085 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
11.085 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
11.085 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
11.085 * [taylor]: Taking taylor expansion of 1/2 in U
11.085 * [backup-simplify]: Simplify 1/2 into 1/2
11.085 * [taylor]: Taking taylor expansion of K in U
11.085 * [backup-simplify]: Simplify K into K
11.085 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
11.085 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
11.085 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
11.086 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
11.086 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
11.086 * [backup-simplify]: Simplify (- 0) into 0
11.086 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
11.086 * [backup-simplify]: Simplify (* J J) into (pow J 2)
11.087 * [backup-simplify]: Simplify (* 1 1) into 1
11.087 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
11.087 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
11.087 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
11.087 * [taylor]: Taking taylor expansion of 1 in U
11.087 * [backup-simplify]: Simplify 1 into 1
11.087 * [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)))
11.088 * [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)))
11.088 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
11.088 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
11.089 * [backup-simplify]: Simplify (+ 0) into 0
11.089 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
11.089 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
11.090 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.091 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
11.091 * [backup-simplify]: Simplify (- 0) into 0
11.092 * [backup-simplify]: Simplify (+ 0 0) into 0
11.092 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
11.093 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.093 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
11.093 * [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
11.094 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
11.095 * [backup-simplify]: Simplify (+ 0 0) into 0
11.095 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
11.095 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
11.095 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
11.095 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
11.095 * [taylor]: Taking taylor expansion of 1/4 in U
11.095 * [backup-simplify]: Simplify 1/4 into 1/4
11.095 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
11.095 * [taylor]: Taking taylor expansion of (pow J 2) in U
11.095 * [taylor]: Taking taylor expansion of J in U
11.095 * [backup-simplify]: Simplify J into J
11.095 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
11.095 * [taylor]: Taking taylor expansion of (pow U 2) in U
11.095 * [taylor]: Taking taylor expansion of U in U
11.095 * [backup-simplify]: Simplify 0 into 0
11.095 * [backup-simplify]: Simplify 1 into 1
11.095 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
11.095 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
11.095 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
11.095 * [taylor]: Taking taylor expansion of 1/2 in U
11.095 * [backup-simplify]: Simplify 1/2 into 1/2
11.095 * [taylor]: Taking taylor expansion of K in U
11.095 * [backup-simplify]: Simplify K into K
11.096 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
11.096 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
11.096 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
11.096 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
11.096 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
11.096 * [backup-simplify]: Simplify (- 0) into 0
11.096 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
11.096 * [backup-simplify]: Simplify (* J J) into (pow J 2)
11.097 * [backup-simplify]: Simplify (* 1 1) into 1
11.097 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
11.097 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
11.097 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
11.097 * [taylor]: Taking taylor expansion of 1 in U
11.097 * [backup-simplify]: Simplify 1 into 1
11.098 * [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)))
11.098 * [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)))
11.098 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
11.098 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
11.099 * [backup-simplify]: Simplify (+ 0) into 0
11.099 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
11.099 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
11.100 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.101 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
11.101 * [backup-simplify]: Simplify (- 0) into 0
11.101 * [backup-simplify]: Simplify (+ 0 0) into 0
11.102 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
11.102 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.103 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
11.103 * [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
11.104 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
11.104 * [backup-simplify]: Simplify (+ 0 0) into 0
11.104 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
11.105 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in K
11.105 * [taylor]: Taking taylor expansion of 1/2 in K
11.105 * [backup-simplify]: Simplify 1/2 into 1/2
11.105 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in K
11.105 * [taylor]: Taking taylor expansion of J in K
11.105 * [backup-simplify]: Simplify J into J
11.105 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
11.105 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
11.105 * [taylor]: Taking taylor expansion of 1/2 in K
11.105 * [backup-simplify]: Simplify 1/2 into 1/2
11.105 * [taylor]: Taking taylor expansion of K in K
11.105 * [backup-simplify]: Simplify 0 into 0
11.105 * [backup-simplify]: Simplify 1 into 1
11.105 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.105 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
11.106 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K)))
11.106 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
11.106 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J
11.106 * [taylor]: Taking taylor expansion of 1/2 in J
11.106 * [backup-simplify]: Simplify 1/2 into 1/2
11.106 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J
11.106 * [taylor]: Taking taylor expansion of J in J
11.106 * [backup-simplify]: Simplify 0 into 0
11.106 * [backup-simplify]: Simplify 1 into 1
11.106 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
11.106 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
11.106 * [taylor]: Taking taylor expansion of 1/2 in J
11.106 * [backup-simplify]: Simplify 1/2 into 1/2
11.106 * [taylor]: Taking taylor expansion of K in J
11.106 * [backup-simplify]: Simplify K into K
11.106 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
11.106 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
11.106 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
11.106 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
11.106 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
11.107 * [backup-simplify]: Simplify (- 0) into 0
11.107 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
11.107 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K)))
11.107 * [taylor]: Taking taylor expansion of 0 in K
11.107 * [backup-simplify]: Simplify 0 into 0
11.107 * [taylor]: Taking taylor expansion of 0 in J
11.107 * [backup-simplify]: Simplify 0 into 0
11.107 * [backup-simplify]: Simplify 0 into 0
11.108 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
11.108 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0
11.108 * [taylor]: Taking taylor expansion of 0 in J
11.108 * [backup-simplify]: Simplify 0 into 0
11.108 * [backup-simplify]: Simplify 0 into 0
11.108 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K)))
11.108 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
11.109 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
11.110 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.111 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
11.111 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
11.111 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.112 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
11.112 * [backup-simplify]: Simplify (- 0) into 0
11.112 * [backup-simplify]: Simplify (+ 0 0) into 0
11.112 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
11.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
11.114 * [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
11.114 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0
11.115 * [backup-simplify]: Simplify (+ 0 1) into 1
11.115 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J)
11.115 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K
11.115 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
11.115 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
11.115 * [taylor]: Taking taylor expansion of 1/2 in K
11.115 * [backup-simplify]: Simplify 1/2 into 1/2
11.115 * [taylor]: Taking taylor expansion of K in K
11.115 * [backup-simplify]: Simplify 0 into 0
11.115 * [backup-simplify]: Simplify 1 into 1
11.116 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.116 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
11.116 * [taylor]: Taking taylor expansion of J in K
11.116 * [backup-simplify]: Simplify J into J
11.116 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
11.116 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
11.116 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
11.116 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
11.116 * [taylor]: Taking taylor expansion of 1/2 in J
11.116 * [backup-simplify]: Simplify 1/2 into 1/2
11.116 * [taylor]: Taking taylor expansion of K in J
11.116 * [backup-simplify]: Simplify K into K
11.116 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
11.116 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
11.116 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
11.116 * [taylor]: Taking taylor expansion of J in J
11.116 * [backup-simplify]: Simplify 0 into 0
11.116 * [backup-simplify]: Simplify 1 into 1
11.116 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
11.116 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
11.116 * [backup-simplify]: Simplify (- 0) into 0
11.116 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
11.116 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
11.117 * [backup-simplify]: Simplify (+ 0) into 0
11.117 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
11.117 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
11.118 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.118 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
11.118 * [backup-simplify]: Simplify (- 0) into 0
11.118 * [backup-simplify]: Simplify (+ 0 0) into 0
11.119 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0
11.119 * [backup-simplify]: Simplify 0 into 0
11.119 * [taylor]: Taking taylor expansion of 0 in J
11.119 * [backup-simplify]: Simplify 0 into 0
11.119 * [backup-simplify]: Simplify 0 into 0
11.119 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0
11.120 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0
11.120 * [taylor]: Taking taylor expansion of 0 in J
11.120 * [backup-simplify]: Simplify 0 into 0
11.120 * [backup-simplify]: Simplify 0 into 0
11.120 * [backup-simplify]: Simplify 0 into 0
11.120 * [backup-simplify]: Simplify 0 into 0
11.120 * [backup-simplify]: Simplify (+ 0) into 0
11.120 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
11.121 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
11.121 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.121 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
11.121 * [backup-simplify]: Simplify (- 0) into 0
11.122 * [backup-simplify]: Simplify (+ 0 0) into 0
11.122 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
11.122 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0
11.122 * [backup-simplify]: Simplify 0 into 0
11.122 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* (/ 1 J) (* 1 (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
11.123 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J))))) (/ (/ 1 (- U)) (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J)))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))
11.123 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U K J) around 0
11.123 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
11.123 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
11.123 * [taylor]: Taking taylor expansion of 1 in J
11.123 * [backup-simplify]: Simplify 1 into 1
11.123 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
11.123 * [taylor]: Taking taylor expansion of 1/4 in J
11.123 * [backup-simplify]: Simplify 1/4 into 1/4
11.123 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
11.123 * [taylor]: Taking taylor expansion of (pow J 2) in J
11.123 * [taylor]: Taking taylor expansion of J in J
11.123 * [backup-simplify]: Simplify 0 into 0
11.123 * [backup-simplify]: Simplify 1 into 1
11.123 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
11.123 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
11.123 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
11.123 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
11.123 * [taylor]: Taking taylor expansion of -1/2 in J
11.123 * [backup-simplify]: Simplify -1/2 into -1/2
11.123 * [taylor]: Taking taylor expansion of K in J
11.123 * [backup-simplify]: Simplify K into K
11.123 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
11.123 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
11.123 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
11.123 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
11.123 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
11.124 * [backup-simplify]: Simplify (- 0) into 0
11.124 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
11.124 * [taylor]: Taking taylor expansion of (pow U 2) in J
11.124 * [taylor]: Taking taylor expansion of U in J
11.124 * [backup-simplify]: Simplify U into U
11.124 * [backup-simplify]: Simplify (* 1 1) into 1
11.124 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
11.124 * [backup-simplify]: Simplify (* U U) into (pow U 2)
11.124 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
11.124 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
11.125 * [backup-simplify]: Simplify (+ 1 0) into 1
11.125 * [backup-simplify]: Simplify (sqrt 1) into 1
11.125 * [backup-simplify]: Simplify (+ 0 0) into 0
11.125 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.125 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K
11.126 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K
11.126 * [taylor]: Taking taylor expansion of 1 in K
11.126 * [backup-simplify]: Simplify 1 into 1
11.126 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
11.126 * [taylor]: Taking taylor expansion of 1/4 in K
11.126 * [backup-simplify]: Simplify 1/4 into 1/4
11.126 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
11.126 * [taylor]: Taking taylor expansion of (pow J 2) in K
11.126 * [taylor]: Taking taylor expansion of J in K
11.126 * [backup-simplify]: Simplify J into J
11.126 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
11.126 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
11.126 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
11.126 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
11.126 * [taylor]: Taking taylor expansion of -1/2 in K
11.126 * [backup-simplify]: Simplify -1/2 into -1/2
11.126 * [taylor]: Taking taylor expansion of K in K
11.126 * [backup-simplify]: Simplify 0 into 0
11.126 * [backup-simplify]: Simplify 1 into 1
11.126 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
11.126 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
11.126 * [taylor]: Taking taylor expansion of (pow U 2) in K
11.126 * [taylor]: Taking taylor expansion of U in K
11.126 * [backup-simplify]: Simplify U into U
11.126 * [backup-simplify]: Simplify (* J J) into (pow J 2)
11.126 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
11.126 * [backup-simplify]: Simplify (* U U) into (pow U 2)
11.126 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
11.127 * [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)))
11.127 * [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))))
11.127 * [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)))))
11.127 * [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))))))
11.127 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
11.127 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
11.127 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
11.127 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
11.128 * [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
11.128 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
11.128 * [backup-simplify]: Simplify (+ 0 0) into 0
11.129 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0
11.129 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
11.129 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
11.129 * [taylor]: Taking taylor expansion of 1 in U
11.129 * [backup-simplify]: Simplify 1 into 1
11.129 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
11.129 * [taylor]: Taking taylor expansion of 1/4 in U
11.129 * [backup-simplify]: Simplify 1/4 into 1/4
11.129 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
11.129 * [taylor]: Taking taylor expansion of (pow J 2) in U
11.129 * [taylor]: Taking taylor expansion of J in U
11.129 * [backup-simplify]: Simplify J into J
11.129 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
11.129 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
11.129 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
11.129 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
11.129 * [taylor]: Taking taylor expansion of -1/2 in U
11.129 * [backup-simplify]: Simplify -1/2 into -1/2
11.129 * [taylor]: Taking taylor expansion of K in U
11.129 * [backup-simplify]: Simplify K into K
11.129 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
11.129 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
11.129 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
11.129 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
11.129 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
11.130 * [backup-simplify]: Simplify (- 0) into 0
11.130 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
11.130 * [taylor]: Taking taylor expansion of (pow U 2) in U
11.130 * [taylor]: Taking taylor expansion of U in U
11.130 * [backup-simplify]: Simplify 0 into 0
11.130 * [backup-simplify]: Simplify 1 into 1
11.130 * [backup-simplify]: Simplify (* J J) into (pow J 2)
11.130 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
11.130 * [backup-simplify]: Simplify (* 1 1) into 1
11.130 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
11.130 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
11.130 * [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)))
11.131 * [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)))
11.131 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
11.131 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
11.131 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.132 * [backup-simplify]: Simplify (+ 0) into 0
11.132 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
11.132 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
11.133 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.134 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
11.134 * [backup-simplify]: Simplify (- 0) into 0
11.135 * [backup-simplify]: Simplify (+ 0 0) into 0
11.135 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
11.135 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
11.136 * [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
11.136 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
11.137 * [backup-simplify]: Simplify (+ 0 0) into 0
11.137 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
11.137 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
11.137 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
11.137 * [taylor]: Taking taylor expansion of 1 in U
11.137 * [backup-simplify]: Simplify 1 into 1
11.137 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
11.137 * [taylor]: Taking taylor expansion of 1/4 in U
11.137 * [backup-simplify]: Simplify 1/4 into 1/4
11.137 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
11.137 * [taylor]: Taking taylor expansion of (pow J 2) in U
11.137 * [taylor]: Taking taylor expansion of J in U
11.137 * [backup-simplify]: Simplify J into J
11.137 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
11.137 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
11.137 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
11.137 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
11.137 * [taylor]: Taking taylor expansion of -1/2 in U
11.137 * [backup-simplify]: Simplify -1/2 into -1/2
11.137 * [taylor]: Taking taylor expansion of K in U
11.137 * [backup-simplify]: Simplify K into K
11.137 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
11.138 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
11.138 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
11.138 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
11.138 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
11.138 * [backup-simplify]: Simplify (- 0) into 0
11.138 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
11.138 * [taylor]: Taking taylor expansion of (pow U 2) in U
11.138 * [taylor]: Taking taylor expansion of U in U
11.138 * [backup-simplify]: Simplify 0 into 0
11.138 * [backup-simplify]: Simplify 1 into 1
11.138 * [backup-simplify]: Simplify (* J J) into (pow J 2)
11.139 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
11.139 * [backup-simplify]: Simplify (* 1 1) into 1
11.139 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
11.139 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
11.139 * [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)))
11.139 * [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)))
11.139 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
11.140 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
11.140 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.140 * [backup-simplify]: Simplify (+ 0) into 0
11.141 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
11.141 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
11.141 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.141 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
11.142 * [backup-simplify]: Simplify (- 0) into 0
11.142 * [backup-simplify]: Simplify (+ 0 0) into 0
11.142 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
11.142 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
11.142 * [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
11.143 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
11.143 * [backup-simplify]: Simplify (+ 0 0) into 0
11.143 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
11.143 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in K
11.143 * [taylor]: Taking taylor expansion of 1/2 in K
11.143 * [backup-simplify]: Simplify 1/2 into 1/2
11.143 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in K
11.143 * [taylor]: Taking taylor expansion of J in K
11.143 * [backup-simplify]: Simplify J into J
11.143 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
11.143 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
11.143 * [taylor]: Taking taylor expansion of -1/2 in K
11.144 * [backup-simplify]: Simplify -1/2 into -1/2
11.144 * [taylor]: Taking taylor expansion of K in K
11.144 * [backup-simplify]: Simplify 0 into 0
11.144 * [backup-simplify]: Simplify 1 into 1
11.144 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
11.144 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
11.144 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K)))
11.144 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
11.144 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J
11.144 * [taylor]: Taking taylor expansion of 1/2 in J
11.144 * [backup-simplify]: Simplify 1/2 into 1/2
11.144 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J
11.144 * [taylor]: Taking taylor expansion of J in J
11.144 * [backup-simplify]: Simplify 0 into 0
11.144 * [backup-simplify]: Simplify 1 into 1
11.144 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
11.144 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
11.144 * [taylor]: Taking taylor expansion of -1/2 in J
11.144 * [backup-simplify]: Simplify -1/2 into -1/2
11.144 * [taylor]: Taking taylor expansion of K in J
11.144 * [backup-simplify]: Simplify K into K
11.144 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
11.144 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
11.144 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
11.144 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
11.144 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
11.145 * [backup-simplify]: Simplify (- 0) into 0
11.145 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
11.145 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K)))
11.145 * [taylor]: Taking taylor expansion of 0 in K
11.145 * [backup-simplify]: Simplify 0 into 0
11.145 * [taylor]: Taking taylor expansion of 0 in J
11.145 * [backup-simplify]: Simplify 0 into 0
11.145 * [backup-simplify]: Simplify 0 into 0
11.145 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
11.145 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0
11.145 * [taylor]: Taking taylor expansion of 0 in J
11.145 * [backup-simplify]: Simplify 0 into 0
11.145 * [backup-simplify]: Simplify 0 into 0
11.146 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K)))
11.146 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
11.146 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
11.146 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.147 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.147 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
11.148 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
11.148 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.148 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
11.149 * [backup-simplify]: Simplify (- 0) into 0
11.149 * [backup-simplify]: Simplify (+ 0 0) into 0
11.149 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
11.150 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
11.150 * [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
11.151 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0
11.151 * [backup-simplify]: Simplify (+ 1 0) into 1
11.151 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J)
11.152 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K
11.152 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
11.152 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
11.152 * [taylor]: Taking taylor expansion of -1/2 in K
11.152 * [backup-simplify]: Simplify -1/2 into -1/2
11.152 * [taylor]: Taking taylor expansion of K in K
11.152 * [backup-simplify]: Simplify 0 into 0
11.152 * [backup-simplify]: Simplify 1 into 1
11.152 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
11.152 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
11.152 * [taylor]: Taking taylor expansion of J in K
11.152 * [backup-simplify]: Simplify J into J
11.152 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
11.152 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
11.152 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
11.152 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
11.152 * [taylor]: Taking taylor expansion of -1/2 in J
11.152 * [backup-simplify]: Simplify -1/2 into -1/2
11.152 * [taylor]: Taking taylor expansion of K in J
11.152 * [backup-simplify]: Simplify K into K
11.152 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
11.152 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
11.152 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
11.152 * [taylor]: Taking taylor expansion of J in J
11.152 * [backup-simplify]: Simplify 0 into 0
11.152 * [backup-simplify]: Simplify 1 into 1
11.152 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
11.152 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
11.153 * [backup-simplify]: Simplify (- 0) into 0
11.153 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
11.153 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
11.153 * [backup-simplify]: Simplify (+ 0) into 0
11.153 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
11.153 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
11.154 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.154 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
11.154 * [backup-simplify]: Simplify (- 0) into 0
11.155 * [backup-simplify]: Simplify (+ 0 0) into 0
11.155 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0
11.155 * [backup-simplify]: Simplify 0 into 0
11.155 * [taylor]: Taking taylor expansion of 0 in J
11.155 * [backup-simplify]: Simplify 0 into 0
11.155 * [backup-simplify]: Simplify 0 into 0
11.156 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0
11.156 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0
11.156 * [taylor]: Taking taylor expansion of 0 in J
11.156 * [backup-simplify]: Simplify 0 into 0
11.156 * [backup-simplify]: Simplify 0 into 0
11.156 * [backup-simplify]: Simplify 0 into 0
11.156 * [backup-simplify]: Simplify 0 into 0
11.157 * [backup-simplify]: Simplify (+ 0) into 0
11.157 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
11.157 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
11.157 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.158 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
11.158 * [backup-simplify]: Simplify (- 0) into 0
11.158 * [backup-simplify]: Simplify (+ 0 0) into 0
11.158 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
11.159 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0
11.159 * [backup-simplify]: Simplify 0 into 0
11.159 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (- J)) (* 1 (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
11.159 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 2)
11.159 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))
11.159 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U K J) around 0
11.159 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J
11.159 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J
11.159 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
11.159 * [taylor]: Taking taylor expansion of 1/4 in J
11.159 * [backup-simplify]: Simplify 1/4 into 1/4
11.159 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
11.159 * [taylor]: Taking taylor expansion of (pow U 2) in J
11.159 * [taylor]: Taking taylor expansion of U in J
11.159 * [backup-simplify]: Simplify U into U
11.159 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
11.159 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
11.159 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
11.159 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
11.159 * [taylor]: Taking taylor expansion of 1/2 in J
11.159 * [backup-simplify]: Simplify 1/2 into 1/2
11.159 * [taylor]: Taking taylor expansion of K in J
11.159 * [backup-simplify]: Simplify K into K
11.159 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
11.160 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
11.160 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
11.160 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
11.160 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
11.160 * [backup-simplify]: Simplify (- 0) into 0
11.160 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
11.160 * [taylor]: Taking taylor expansion of (pow J 2) in J
11.160 * [taylor]: Taking taylor expansion of J in J
11.160 * [backup-simplify]: Simplify 0 into 0
11.160 * [backup-simplify]: Simplify 1 into 1
11.160 * [backup-simplify]: Simplify (* U U) into (pow U 2)
11.160 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
11.160 * [backup-simplify]: Simplify (* 1 1) into 1
11.161 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
11.161 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
11.161 * [taylor]: Taking taylor expansion of 1 in J
11.161 * [backup-simplify]: Simplify 1 into 1
11.161 * [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)))
11.161 * [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)))
11.161 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
11.161 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
11.162 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.162 * [backup-simplify]: Simplify (+ 0) into 0
11.162 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
11.162 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
11.163 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.163 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
11.163 * [backup-simplify]: Simplify (- 0) into 0
11.164 * [backup-simplify]: Simplify (+ 0 0) into 0
11.164 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
11.164 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
11.164 * [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
11.165 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0
11.165 * [backup-simplify]: Simplify (+ 0 0) into 0
11.165 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
11.165 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K
11.165 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K
11.165 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
11.165 * [taylor]: Taking taylor expansion of 1/4 in K
11.165 * [backup-simplify]: Simplify 1/4 into 1/4
11.165 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
11.165 * [taylor]: Taking taylor expansion of (pow U 2) in K
11.165 * [taylor]: Taking taylor expansion of U in K
11.165 * [backup-simplify]: Simplify U into U
11.165 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
11.165 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
11.165 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
11.165 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
11.165 * [taylor]: Taking taylor expansion of 1/2 in K
11.165 * [backup-simplify]: Simplify 1/2 into 1/2
11.165 * [taylor]: Taking taylor expansion of K in K
11.165 * [backup-simplify]: Simplify 0 into 0
11.165 * [backup-simplify]: Simplify 1 into 1
11.166 * [backup-simplify]: Simplify (* 1/2 0) into 0
11.166 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
11.166 * [taylor]: Taking taylor expansion of (pow J 2) in K
11.166 * [taylor]: Taking taylor expansion of J in K
11.166 * [backup-simplify]: Simplify J into J
11.166 * [backup-simplify]: Simplify (* U U) into (pow U 2)
11.166 * [backup-simplify]: Simplify (* 1 1) into 1
11.166 * [backup-simplify]: Simplify (* J J) into (pow J 2)
11.167 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
11.167 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
11.167 * [taylor]: Taking taylor expansion of 1 in K
11.167 * [backup-simplify]: Simplify 1 into 1
11.167 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2)))
11.167 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
11.167 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
11.167 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
11.167 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
11.168 * [backup-simplify]: Simplify (+ 0) into 0
11.168 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.168 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
11.168 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
11.169 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0
11.169 * [backup-simplify]: Simplify (+ 0 0) into 0
11.169 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
11.169 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
11.169 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
11.169 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
11.169 * [taylor]: Taking taylor expansion of 1/4 in U
11.169 * [backup-simplify]: Simplify 1/4 into 1/4
11.169 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
11.169 * [taylor]: Taking taylor expansion of (pow U 2) in U
11.169 * [taylor]: Taking taylor expansion of U in U
11.169 * [backup-simplify]: Simplify 0 into 0
11.169 * [backup-simplify]: Simplify 1 into 1
11.169 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
11.169 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
11.169 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
11.169 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
11.169 * [taylor]: Taking taylor expansion of 1/2 in U
11.169 * [backup-simplify]: Simplify 1/2 into 1/2
11.169 * [taylor]: Taking taylor expansion of K in U
11.169 * [backup-simplify]: Simplify K into K
11.170 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
11.170 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
11.170 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
11.170 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
11.170 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
11.170 * [backup-simplify]: Simplify (- 0) into 0
11.170 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
11.170 * [taylor]: Taking taylor expansion of (pow J 2) in U
11.170 * [taylor]: Taking taylor expansion of J in U
11.170 * [backup-simplify]: Simplify J into J
11.170 * [backup-simplify]: Simplify (* 1 1) into 1
11.170 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
11.171 * [backup-simplify]: Simplify (* J J) into (pow J 2)
11.171 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
11.171 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
11.171 * [taylor]: Taking taylor expansion of 1 in U
11.171 * [backup-simplify]: Simplify 1 into 1
11.171 * [backup-simplify]: Simplify (+ 0 1) into 1
11.171 * [backup-simplify]: Simplify (sqrt 1) into 1
11.172 * [backup-simplify]: Simplify (+ 0 0) into 0
11.172 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.172 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
11.172 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
11.172 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
11.172 * [taylor]: Taking taylor expansion of 1/4 in U
11.172 * [backup-simplify]: Simplify 1/4 into 1/4
11.172 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
11.172 * [taylor]: Taking taylor expansion of (pow U 2) in U
11.172 * [taylor]: Taking taylor expansion of U in U
11.172 * [backup-simplify]: Simplify 0 into 0
11.172 * [backup-simplify]: Simplify 1 into 1
11.172 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
11.172 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
11.172 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
11.172 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
11.172 * [taylor]: Taking taylor expansion of 1/2 in U
11.172 * [backup-simplify]: Simplify 1/2 into 1/2
11.172 * [taylor]: Taking taylor expansion of K in U
11.172 * [backup-simplify]: Simplify K into K
11.172 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
11.173 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
11.173 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
11.173 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
11.173 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
11.173 * [backup-simplify]: Simplify (- 0) into 0
11.173 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
11.173 * [taylor]: Taking taylor expansion of (pow J 2) in U
11.173 * [taylor]: Taking taylor expansion of J in U
11.173 * [backup-simplify]: Simplify J into J
11.173 * [backup-simplify]: Simplify (* 1 1) into 1
11.173 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
11.173 * [backup-simplify]: Simplify (* J J) into (pow J 2)
11.173 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
11.174 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
11.174 * [taylor]: Taking taylor expansion of 1 in U
11.174 * [backup-simplify]: Simplify 1 into 1
11.174 * [backup-simplify]: Simplify (+ 0 1) into 1
11.174 * [backup-simplify]: Simplify (sqrt 1) into 1
11.174 * [backup-simplify]: Simplify (+ 0 0) into 0
11.175 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.175 * [taylor]: Taking taylor expansion of 1 in K
11.175 * [backup-simplify]: Simplify 1 into 1
11.175 * [taylor]: Taking taylor expansion of 1 in J
11.175 * [backup-simplify]: Simplify 1 into 1
11.175 * [taylor]: Taking taylor expansion of 0 in K
11.175 * [backup-simplify]: Simplify 0 into 0
11.175 * [taylor]: Taking taylor expansion of 0 in J
11.175 * [backup-simplify]: Simplify 0 into 0
11.175 * [taylor]: Taking taylor expansion of 0 in J
11.175 * [backup-simplify]: Simplify 0 into 0
11.175 * [backup-simplify]: Simplify 1 into 1
11.176 * [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)))
11.176 * [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))))
11.177 * [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)))
11.177 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
11.177 * [taylor]: Taking taylor expansion of 1/8 in K
11.177 * [backup-simplify]: Simplify 1/8 into 1/8
11.177 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
11.177 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
11.177 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
11.177 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
11.177 * [taylor]: Taking taylor expansion of 1/2 in K
11.177 * [backup-simplify]: Simplify 1/2 into 1/2
11.177 * [taylor]: Taking taylor expansion of K in K
11.177 * [backup-simplify]: Simplify 0 into 0
11.178 * [backup-simplify]: Simplify 1 into 1
11.178 * [backup-simplify]: Simplify (* 1/2 0) into 0
11.179 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
11.179 * [taylor]: Taking taylor expansion of (pow J 2) in K
11.179 * [taylor]: Taking taylor expansion of J in K
11.179 * [backup-simplify]: Simplify J into J
11.179 * [backup-simplify]: Simplify (* 1 1) into 1
11.179 * [backup-simplify]: Simplify (* J J) into (pow J 2)
11.179 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
11.179 * [backup-simplify]: Simplify (/ 1/8 (pow J 2)) into (/ 1/8 (pow J 2))
11.179 * [taylor]: Taking taylor expansion of (/ 1/8 (pow J 2)) in J
11.179 * [taylor]: Taking taylor expansion of 1/8 in J
11.180 * [backup-simplify]: Simplify 1/8 into 1/8
11.180 * [taylor]: Taking taylor expansion of (pow J 2) in J
11.180 * [taylor]: Taking taylor expansion of J in J
11.180 * [backup-simplify]: Simplify 0 into 0
11.180 * [backup-simplify]: Simplify 1 into 1
11.180 * [backup-simplify]: Simplify (* 1 1) into 1
11.180 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8
11.181 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.182 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0
11.182 * [backup-simplify]: Simplify 0 into 0
11.182 * [taylor]: Taking taylor expansion of 0 in J
11.182 * [backup-simplify]: Simplify 0 into 0
11.182 * [taylor]: Taking taylor expansion of 0 in J
11.182 * [backup-simplify]: Simplify 0 into 0
11.182 * [backup-simplify]: Simplify 0 into 0
11.182 * [backup-simplify]: Simplify 0 into 0
11.182 * [backup-simplify]: Simplify 0 into 0
11.183 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.183 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
11.184 * [backup-simplify]: Simplify (+ 0) into 0
11.184 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
11.185 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
11.185 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.186 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
11.186 * [backup-simplify]: Simplify (- 0) into 0
11.187 * [backup-simplify]: Simplify (+ 0 0) into 0
11.187 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
11.187 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0
11.187 * [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
11.188 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0
11.188 * [backup-simplify]: Simplify (+ 0 0) into 0
11.189 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0
11.189 * [taylor]: Taking taylor expansion of 0 in K
11.189 * [backup-simplify]: Simplify 0 into 0
11.189 * [taylor]: Taking taylor expansion of 0 in J
11.189 * [backup-simplify]: Simplify 0 into 0
11.189 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
11.190 * [backup-simplify]: Simplify (+ 0) into 0
11.190 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.191 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
11.191 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/8 (pow J 2)) (/ 0 (pow J 2))))) into 0
11.191 * [taylor]: Taking taylor expansion of 0 in J
11.191 * [backup-simplify]: Simplify 0 into 0
11.191 * [taylor]: Taking taylor expansion of 0 in J
11.191 * [backup-simplify]: Simplify 0 into 0
11.191 * [taylor]: Taking taylor expansion of 0 in J
11.191 * [backup-simplify]: Simplify 0 into 0
11.192 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.193 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.193 * [backup-simplify]: Simplify 0 into 0
11.194 * [backup-simplify]: Simplify 0 into 0
11.194 * [backup-simplify]: Simplify 1 into 1
11.194 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* (cos (/ (/ 1 K) 2)) (* 2 (/ 1 J)))) (/ (/ 1 U) (* (cos (/ (/ 1 K) 2)) (* 2 (/ 1 J))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
11.194 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U K J) around 0
11.194 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
11.194 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
11.194 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
11.194 * [taylor]: Taking taylor expansion of 1/4 in J
11.194 * [backup-simplify]: Simplify 1/4 into 1/4
11.194 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
11.194 * [taylor]: Taking taylor expansion of (pow J 2) in J
11.194 * [taylor]: Taking taylor expansion of J in J
11.194 * [backup-simplify]: Simplify 0 into 0
11.194 * [backup-simplify]: Simplify 1 into 1
11.194 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
11.195 * [taylor]: Taking taylor expansion of (pow U 2) in J
11.195 * [taylor]: Taking taylor expansion of U in J
11.195 * [backup-simplify]: Simplify U into U
11.195 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
11.195 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
11.195 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
11.195 * [taylor]: Taking taylor expansion of 1/2 in J
11.195 * [backup-simplify]: Simplify 1/2 into 1/2
11.195 * [taylor]: Taking taylor expansion of K in J
11.195 * [backup-simplify]: Simplify K into K
11.195 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
11.195 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
11.195 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
11.195 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
11.195 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
11.196 * [backup-simplify]: Simplify (- 0) into 0
11.196 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
11.196 * [backup-simplify]: Simplify (* 1 1) into 1
11.196 * [backup-simplify]: Simplify (* U U) into (pow U 2)
11.196 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
11.196 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
11.197 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
11.197 * [taylor]: Taking taylor expansion of 1 in J
11.197 * [backup-simplify]: Simplify 1 into 1
11.199 * [backup-simplify]: Simplify (+ 0 1) into 1
11.200 * [backup-simplify]: Simplify (sqrt 1) into 1
11.200 * [backup-simplify]: Simplify (+ 0 0) into 0
11.201 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.201 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K
11.201 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K
11.201 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
11.201 * [taylor]: Taking taylor expansion of 1/4 in K
11.201 * [backup-simplify]: Simplify 1/4 into 1/4
11.201 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
11.201 * [taylor]: Taking taylor expansion of (pow J 2) in K
11.201 * [taylor]: Taking taylor expansion of J in K
11.201 * [backup-simplify]: Simplify J into J
11.201 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
11.201 * [taylor]: Taking taylor expansion of (pow U 2) in K
11.201 * [taylor]: Taking taylor expansion of U in K
11.201 * [backup-simplify]: Simplify U into U
11.201 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
11.202 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
11.202 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
11.202 * [taylor]: Taking taylor expansion of 1/2 in K
11.202 * [backup-simplify]: Simplify 1/2 into 1/2
11.202 * [taylor]: Taking taylor expansion of K in K
11.202 * [backup-simplify]: Simplify 0 into 0
11.202 * [backup-simplify]: Simplify 1 into 1
11.202 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.202 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
11.202 * [backup-simplify]: Simplify (* J J) into (pow J 2)
11.202 * [backup-simplify]: Simplify (* U U) into (pow U 2)
11.202 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
11.203 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
11.203 * [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)))
11.203 * [taylor]: Taking taylor expansion of 1 in K
11.203 * [backup-simplify]: Simplify 1 into 1
11.203 * [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))))
11.204 * [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)
11.204 * [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))
11.204 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
11.204 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
11.204 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
11.204 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
11.205 * [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
11.206 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
11.206 * [backup-simplify]: Simplify (+ 0 0) into 0
11.206 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
11.206 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
11.207 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
11.207 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
11.207 * [taylor]: Taking taylor expansion of 1/4 in U
11.207 * [backup-simplify]: Simplify 1/4 into 1/4
11.207 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
11.207 * [taylor]: Taking taylor expansion of (pow J 2) in U
11.207 * [taylor]: Taking taylor expansion of J in U
11.207 * [backup-simplify]: Simplify J into J
11.207 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
11.207 * [taylor]: Taking taylor expansion of (pow U 2) in U
11.207 * [taylor]: Taking taylor expansion of U in U
11.207 * [backup-simplify]: Simplify 0 into 0
11.207 * [backup-simplify]: Simplify 1 into 1
11.207 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
11.207 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
11.207 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
11.207 * [taylor]: Taking taylor expansion of 1/2 in U
11.207 * [backup-simplify]: Simplify 1/2 into 1/2
11.207 * [taylor]: Taking taylor expansion of K in U
11.207 * [backup-simplify]: Simplify K into K
11.207 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
11.207 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
11.207 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
11.207 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
11.207 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
11.208 * [backup-simplify]: Simplify (- 0) into 0
11.208 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
11.208 * [backup-simplify]: Simplify (* J J) into (pow J 2)
11.208 * [backup-simplify]: Simplify (* 1 1) into 1
11.208 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
11.208 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
11.209 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
11.209 * [taylor]: Taking taylor expansion of 1 in U
11.209 * [backup-simplify]: Simplify 1 into 1
11.209 * [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)))
11.209 * [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)))
11.209 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
11.209 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
11.210 * [backup-simplify]: Simplify (+ 0) into 0
11.210 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
11.210 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
11.211 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.212 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
11.212 * [backup-simplify]: Simplify (- 0) into 0
11.212 * [backup-simplify]: Simplify (+ 0 0) into 0
11.212 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
11.213 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.213 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
11.214 * [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
11.214 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
11.215 * [backup-simplify]: Simplify (+ 0 0) into 0
11.215 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
11.215 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
11.215 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
11.215 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
11.215 * [taylor]: Taking taylor expansion of 1/4 in U
11.215 * [backup-simplify]: Simplify 1/4 into 1/4
11.215 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
11.215 * [taylor]: Taking taylor expansion of (pow J 2) in U
11.215 * [taylor]: Taking taylor expansion of J in U
11.215 * [backup-simplify]: Simplify J into J
11.215 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
11.215 * [taylor]: Taking taylor expansion of (pow U 2) in U
11.215 * [taylor]: Taking taylor expansion of U in U
11.215 * [backup-simplify]: Simplify 0 into 0
11.215 * [backup-simplify]: Simplify 1 into 1
11.215 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
11.215 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
11.215 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
11.215 * [taylor]: Taking taylor expansion of 1/2 in U
11.215 * [backup-simplify]: Simplify 1/2 into 1/2
11.215 * [taylor]: Taking taylor expansion of K in U
11.215 * [backup-simplify]: Simplify K into K
11.215 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
11.216 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
11.216 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
11.216 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
11.216 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
11.216 * [backup-simplify]: Simplify (- 0) into 0
11.216 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
11.216 * [backup-simplify]: Simplify (* J J) into (pow J 2)
11.217 * [backup-simplify]: Simplify (* 1 1) into 1
11.217 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
11.217 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
11.217 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
11.217 * [taylor]: Taking taylor expansion of 1 in U
11.217 * [backup-simplify]: Simplify 1 into 1
11.217 * [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)))
11.218 * [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)))
11.218 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
11.218 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
11.218 * [backup-simplify]: Simplify (+ 0) into 0
11.219 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
11.219 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
11.219 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.220 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
11.220 * [backup-simplify]: Simplify (- 0) into 0
11.221 * [backup-simplify]: Simplify (+ 0 0) into 0
11.221 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
11.221 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.222 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
11.222 * [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
11.223 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
11.223 * [backup-simplify]: Simplify (+ 0 0) into 0
11.223 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
11.223 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in K
11.223 * [taylor]: Taking taylor expansion of 1/2 in K
11.223 * [backup-simplify]: Simplify 1/2 into 1/2
11.223 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in K
11.223 * [taylor]: Taking taylor expansion of J in K
11.224 * [backup-simplify]: Simplify J into J
11.224 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
11.224 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
11.224 * [taylor]: Taking taylor expansion of 1/2 in K
11.224 * [backup-simplify]: Simplify 1/2 into 1/2
11.224 * [taylor]: Taking taylor expansion of K in K
11.224 * [backup-simplify]: Simplify 0 into 0
11.224 * [backup-simplify]: Simplify 1 into 1
11.224 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.224 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
11.224 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K)))
11.224 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
11.224 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J
11.224 * [taylor]: Taking taylor expansion of 1/2 in J
11.224 * [backup-simplify]: Simplify 1/2 into 1/2
11.224 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J
11.224 * [taylor]: Taking taylor expansion of J in J
11.224 * [backup-simplify]: Simplify 0 into 0
11.224 * [backup-simplify]: Simplify 1 into 1
11.224 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
11.225 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
11.225 * [taylor]: Taking taylor expansion of 1/2 in J
11.225 * [backup-simplify]: Simplify 1/2 into 1/2
11.225 * [taylor]: Taking taylor expansion of K in J
11.225 * [backup-simplify]: Simplify K into K
11.225 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
11.225 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
11.225 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
11.225 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
11.225 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
11.225 * [backup-simplify]: Simplify (- 0) into 0
11.225 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
11.225 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K)))
11.226 * [taylor]: Taking taylor expansion of 0 in K
11.226 * [backup-simplify]: Simplify 0 into 0
11.226 * [taylor]: Taking taylor expansion of 0 in J
11.226 * [backup-simplify]: Simplify 0 into 0
11.226 * [backup-simplify]: Simplify 0 into 0
11.226 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
11.226 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0
11.226 * [taylor]: Taking taylor expansion of 0 in J
11.226 * [backup-simplify]: Simplify 0 into 0
11.226 * [backup-simplify]: Simplify 0 into 0
11.227 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K)))
11.227 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
11.227 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
11.228 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.228 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
11.229 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
11.229 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.230 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
11.230 * [backup-simplify]: Simplify (- 0) into 0
11.230 * [backup-simplify]: Simplify (+ 0 0) into 0
11.231 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
11.232 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.233 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
11.233 * [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
11.234 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0
11.234 * [backup-simplify]: Simplify (+ 0 1) into 1
11.235 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J)
11.235 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K
11.236 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
11.236 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
11.236 * [taylor]: Taking taylor expansion of 1/2 in K
11.236 * [backup-simplify]: Simplify 1/2 into 1/2
11.236 * [taylor]: Taking taylor expansion of K in K
11.236 * [backup-simplify]: Simplify 0 into 0
11.236 * [backup-simplify]: Simplify 1 into 1
11.236 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.236 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
11.237 * [taylor]: Taking taylor expansion of J in K
11.237 * [backup-simplify]: Simplify J into J
11.237 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
11.237 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
11.237 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
11.237 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
11.237 * [taylor]: Taking taylor expansion of 1/2 in J
11.237 * [backup-simplify]: Simplify 1/2 into 1/2
11.237 * [taylor]: Taking taylor expansion of K in J
11.237 * [backup-simplify]: Simplify K into K
11.237 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
11.237 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
11.237 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
11.237 * [taylor]: Taking taylor expansion of J in J
11.237 * [backup-simplify]: Simplify 0 into 0
11.237 * [backup-simplify]: Simplify 1 into 1
11.237 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
11.237 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
11.238 * [backup-simplify]: Simplify (- 0) into 0
11.238 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
11.238 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
11.238 * [backup-simplify]: Simplify (+ 0) into 0
11.239 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
11.239 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
11.240 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.240 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
11.241 * [backup-simplify]: Simplify (- 0) into 0
11.241 * [backup-simplify]: Simplify (+ 0 0) into 0
11.242 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0
11.242 * [backup-simplify]: Simplify 0 into 0
11.242 * [taylor]: Taking taylor expansion of 0 in J
11.242 * [backup-simplify]: Simplify 0 into 0
11.242 * [backup-simplify]: Simplify 0 into 0
11.242 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0
11.243 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0
11.243 * [taylor]: Taking taylor expansion of 0 in J
11.244 * [backup-simplify]: Simplify 0 into 0
11.244 * [backup-simplify]: Simplify 0 into 0
11.244 * [backup-simplify]: Simplify 0 into 0
11.244 * [backup-simplify]: Simplify 0 into 0
11.244 * [backup-simplify]: Simplify (+ 0) into 0
11.245 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
11.245 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
11.246 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.246 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
11.246 * [backup-simplify]: Simplify (- 0) into 0
11.247 * [backup-simplify]: Simplify (+ 0 0) into 0
11.247 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
11.248 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0
11.248 * [backup-simplify]: Simplify 0 into 0
11.248 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* (/ 1 J) (* 1 (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
11.249 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J))))) (/ (/ 1 (- U)) (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J)))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))
11.249 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U K J) around 0
11.249 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
11.249 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
11.249 * [taylor]: Taking taylor expansion of 1 in J
11.249 * [backup-simplify]: Simplify 1 into 1
11.249 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
11.249 * [taylor]: Taking taylor expansion of 1/4 in J
11.249 * [backup-simplify]: Simplify 1/4 into 1/4
11.249 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
11.249 * [taylor]: Taking taylor expansion of (pow J 2) in J
11.249 * [taylor]: Taking taylor expansion of J in J
11.249 * [backup-simplify]: Simplify 0 into 0
11.249 * [backup-simplify]: Simplify 1 into 1
11.249 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
11.249 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
11.249 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
11.249 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
11.249 * [taylor]: Taking taylor expansion of -1/2 in J
11.249 * [backup-simplify]: Simplify -1/2 into -1/2
11.249 * [taylor]: Taking taylor expansion of K in J
11.249 * [backup-simplify]: Simplify K into K
11.249 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
11.249 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
11.249 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
11.249 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
11.250 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
11.250 * [backup-simplify]: Simplify (- 0) into 0
11.250 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
11.250 * [taylor]: Taking taylor expansion of (pow U 2) in J
11.250 * [taylor]: Taking taylor expansion of U in J
11.250 * [backup-simplify]: Simplify U into U
11.251 * [backup-simplify]: Simplify (* 1 1) into 1
11.251 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
11.251 * [backup-simplify]: Simplify (* U U) into (pow U 2)
11.251 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
11.251 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
11.252 * [backup-simplify]: Simplify (+ 1 0) into 1
11.252 * [backup-simplify]: Simplify (sqrt 1) into 1
11.252 * [backup-simplify]: Simplify (+ 0 0) into 0
11.253 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.253 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K
11.253 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K
11.253 * [taylor]: Taking taylor expansion of 1 in K
11.253 * [backup-simplify]: Simplify 1 into 1
11.253 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
11.253 * [taylor]: Taking taylor expansion of 1/4 in K
11.253 * [backup-simplify]: Simplify 1/4 into 1/4
11.253 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
11.253 * [taylor]: Taking taylor expansion of (pow J 2) in K
11.253 * [taylor]: Taking taylor expansion of J in K
11.253 * [backup-simplify]: Simplify J into J
11.253 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
11.253 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
11.253 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
11.253 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
11.253 * [taylor]: Taking taylor expansion of -1/2 in K
11.253 * [backup-simplify]: Simplify -1/2 into -1/2
11.253 * [taylor]: Taking taylor expansion of K in K
11.254 * [backup-simplify]: Simplify 0 into 0
11.254 * [backup-simplify]: Simplify 1 into 1
11.254 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
11.254 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
11.254 * [taylor]: Taking taylor expansion of (pow U 2) in K
11.254 * [taylor]: Taking taylor expansion of U in K
11.254 * [backup-simplify]: Simplify U into U
11.254 * [backup-simplify]: Simplify (* J J) into (pow J 2)
11.255 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
11.255 * [backup-simplify]: Simplify (* U U) into (pow U 2)
11.255 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
11.255 * [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)))
11.255 * [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))))
11.256 * [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)))))
11.256 * [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))))))
11.256 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
11.256 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
11.256 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
11.256 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
11.257 * [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
11.258 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
11.258 * [backup-simplify]: Simplify (+ 0 0) into 0
11.259 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0
11.259 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
11.259 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
11.259 * [taylor]: Taking taylor expansion of 1 in U
11.259 * [backup-simplify]: Simplify 1 into 1
11.259 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
11.259 * [taylor]: Taking taylor expansion of 1/4 in U
11.259 * [backup-simplify]: Simplify 1/4 into 1/4
11.259 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
11.259 * [taylor]: Taking taylor expansion of (pow J 2) in U
11.259 * [taylor]: Taking taylor expansion of J in U
11.259 * [backup-simplify]: Simplify J into J
11.259 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
11.259 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
11.259 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
11.259 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
11.259 * [taylor]: Taking taylor expansion of -1/2 in U
11.259 * [backup-simplify]: Simplify -1/2 into -1/2
11.259 * [taylor]: Taking taylor expansion of K in U
11.259 * [backup-simplify]: Simplify K into K
11.259 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
11.259 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
11.259 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
11.259 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
11.260 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
11.260 * [backup-simplify]: Simplify (- 0) into 0
11.260 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
11.260 * [taylor]: Taking taylor expansion of (pow U 2) in U
11.260 * [taylor]: Taking taylor expansion of U in U
11.260 * [backup-simplify]: Simplify 0 into 0
11.260 * [backup-simplify]: Simplify 1 into 1
11.260 * [backup-simplify]: Simplify (* J J) into (pow J 2)
11.260 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
11.261 * [backup-simplify]: Simplify (* 1 1) into 1
11.261 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
11.261 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
11.261 * [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)))
11.262 * [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)))
11.262 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
11.262 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
11.263 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.263 * [backup-simplify]: Simplify (+ 0) into 0
11.264 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
11.264 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
11.264 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.265 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
11.265 * [backup-simplify]: Simplify (- 0) into 0
11.266 * [backup-simplify]: Simplify (+ 0 0) into 0
11.266 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
11.266 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
11.267 * [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
11.267 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
11.268 * [backup-simplify]: Simplify (+ 0 0) into 0
11.268 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
11.268 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
11.268 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
11.268 * [taylor]: Taking taylor expansion of 1 in U
11.268 * [backup-simplify]: Simplify 1 into 1
11.268 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
11.268 * [taylor]: Taking taylor expansion of 1/4 in U
11.268 * [backup-simplify]: Simplify 1/4 into 1/4
11.268 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
11.268 * [taylor]: Taking taylor expansion of (pow J 2) in U
11.268 * [taylor]: Taking taylor expansion of J in U
11.268 * [backup-simplify]: Simplify J into J
11.268 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
11.268 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
11.268 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
11.268 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
11.269 * [taylor]: Taking taylor expansion of -1/2 in U
11.269 * [backup-simplify]: Simplify -1/2 into -1/2
11.269 * [taylor]: Taking taylor expansion of K in U
11.269 * [backup-simplify]: Simplify K into K
11.269 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
11.269 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
11.269 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
11.269 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
11.269 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
11.269 * [backup-simplify]: Simplify (- 0) into 0
11.269 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
11.270 * [taylor]: Taking taylor expansion of (pow U 2) in U
11.270 * [taylor]: Taking taylor expansion of U in U
11.270 * [backup-simplify]: Simplify 0 into 0
11.270 * [backup-simplify]: Simplify 1 into 1
11.270 * [backup-simplify]: Simplify (* J J) into (pow J 2)
11.270 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
11.270 * [backup-simplify]: Simplify (* 1 1) into 1
11.270 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
11.270 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
11.271 * [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)))
11.271 * [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)))
11.271 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
11.271 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
11.272 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.272 * [backup-simplify]: Simplify (+ 0) into 0
11.273 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
11.273 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
11.274 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.274 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
11.275 * [backup-simplify]: Simplify (- 0) into 0
11.275 * [backup-simplify]: Simplify (+ 0 0) into 0
11.275 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
11.276 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
11.276 * [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
11.277 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
11.277 * [backup-simplify]: Simplify (+ 0 0) into 0
11.278 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
11.278 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in K
11.278 * [taylor]: Taking taylor expansion of 1/2 in K
11.278 * [backup-simplify]: Simplify 1/2 into 1/2
11.278 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in K
11.278 * [taylor]: Taking taylor expansion of J in K
11.278 * [backup-simplify]: Simplify J into J
11.278 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
11.278 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
11.278 * [taylor]: Taking taylor expansion of -1/2 in K
11.278 * [backup-simplify]: Simplify -1/2 into -1/2
11.278 * [taylor]: Taking taylor expansion of K in K
11.278 * [backup-simplify]: Simplify 0 into 0
11.278 * [backup-simplify]: Simplify 1 into 1
11.279 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
11.279 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
11.279 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K)))
11.279 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
11.279 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J
11.279 * [taylor]: Taking taylor expansion of 1/2 in J
11.279 * [backup-simplify]: Simplify 1/2 into 1/2
11.279 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J
11.279 * [taylor]: Taking taylor expansion of J in J
11.279 * [backup-simplify]: Simplify 0 into 0
11.279 * [backup-simplify]: Simplify 1 into 1
11.279 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
11.279 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
11.279 * [taylor]: Taking taylor expansion of -1/2 in J
11.279 * [backup-simplify]: Simplify -1/2 into -1/2
11.279 * [taylor]: Taking taylor expansion of K in J
11.279 * [backup-simplify]: Simplify K into K
11.279 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
11.279 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
11.279 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
11.280 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
11.280 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
11.280 * [backup-simplify]: Simplify (- 0) into 0
11.280 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
11.280 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K)))
11.280 * [taylor]: Taking taylor expansion of 0 in K
11.280 * [backup-simplify]: Simplify 0 into 0
11.280 * [taylor]: Taking taylor expansion of 0 in J
11.280 * [backup-simplify]: Simplify 0 into 0
11.280 * [backup-simplify]: Simplify 0 into 0
11.281 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
11.281 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0
11.281 * [taylor]: Taking taylor expansion of 0 in J
11.281 * [backup-simplify]: Simplify 0 into 0
11.281 * [backup-simplify]: Simplify 0 into 0
11.282 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K)))
11.282 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
11.282 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
11.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.284 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.285 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
11.285 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
11.286 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.286 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
11.287 * [backup-simplify]: Simplify (- 0) into 0
11.287 * [backup-simplify]: Simplify (+ 0 0) into 0
11.288 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
11.288 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
11.289 * [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
11.290 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0
11.290 * [backup-simplify]: Simplify (+ 1 0) into 1
11.291 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J)
11.291 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K
11.291 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
11.292 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
11.292 * [taylor]: Taking taylor expansion of -1/2 in K
11.292 * [backup-simplify]: Simplify -1/2 into -1/2
11.292 * [taylor]: Taking taylor expansion of K in K
11.292 * [backup-simplify]: Simplify 0 into 0
11.292 * [backup-simplify]: Simplify 1 into 1
11.292 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
11.292 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
11.292 * [taylor]: Taking taylor expansion of J in K
11.292 * [backup-simplify]: Simplify J into J
11.292 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
11.292 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
11.292 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
11.292 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
11.292 * [taylor]: Taking taylor expansion of -1/2 in J
11.293 * [backup-simplify]: Simplify -1/2 into -1/2
11.293 * [taylor]: Taking taylor expansion of K in J
11.293 * [backup-simplify]: Simplify K into K
11.293 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
11.293 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
11.293 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
11.293 * [taylor]: Taking taylor expansion of J in J
11.293 * [backup-simplify]: Simplify 0 into 0
11.293 * [backup-simplify]: Simplify 1 into 1
11.293 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
11.293 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
11.293 * [backup-simplify]: Simplify (- 0) into 0
11.293 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
11.294 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
11.294 * [backup-simplify]: Simplify (+ 0) into 0
11.295 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
11.295 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
11.295 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.296 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
11.296 * [backup-simplify]: Simplify (- 0) into 0
11.297 * [backup-simplify]: Simplify (+ 0 0) into 0
11.298 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0
11.298 * [backup-simplify]: Simplify 0 into 0
11.298 * [taylor]: Taking taylor expansion of 0 in J
11.298 * [backup-simplify]: Simplify 0 into 0
11.298 * [backup-simplify]: Simplify 0 into 0
11.298 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0
11.299 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0
11.299 * [taylor]: Taking taylor expansion of 0 in J
11.299 * [backup-simplify]: Simplify 0 into 0
11.299 * [backup-simplify]: Simplify 0 into 0
11.299 * [backup-simplify]: Simplify 0 into 0
11.299 * [backup-simplify]: Simplify 0 into 0
11.300 * [backup-simplify]: Simplify (+ 0) into 0
11.300 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
11.300 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
11.301 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.302 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
11.302 * [backup-simplify]: Simplify (- 0) into 0
11.302 * [backup-simplify]: Simplify (+ 0 0) into 0
11.303 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
11.303 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0
11.303 * [backup-simplify]: Simplify 0 into 0
11.304 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (- J)) (* 1 (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
11.304 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 2)
11.304 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))
11.304 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U K J) around 0
11.304 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J
11.304 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J
11.304 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
11.304 * [taylor]: Taking taylor expansion of 1/4 in J
11.304 * [backup-simplify]: Simplify 1/4 into 1/4
11.304 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
11.304 * [taylor]: Taking taylor expansion of (pow U 2) in J
11.305 * [taylor]: Taking taylor expansion of U in J
11.305 * [backup-simplify]: Simplify U into U
11.305 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
11.305 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
11.305 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
11.305 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
11.305 * [taylor]: Taking taylor expansion of 1/2 in J
11.305 * [backup-simplify]: Simplify 1/2 into 1/2
11.305 * [taylor]: Taking taylor expansion of K in J
11.305 * [backup-simplify]: Simplify K into K
11.305 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
11.305 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
11.305 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
11.305 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
11.305 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
11.306 * [backup-simplify]: Simplify (- 0) into 0
11.306 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
11.306 * [taylor]: Taking taylor expansion of (pow J 2) in J
11.306 * [taylor]: Taking taylor expansion of J in J
11.306 * [backup-simplify]: Simplify 0 into 0
11.306 * [backup-simplify]: Simplify 1 into 1
11.306 * [backup-simplify]: Simplify (* U U) into (pow U 2)
11.306 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
11.306 * [backup-simplify]: Simplify (* 1 1) into 1
11.306 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
11.307 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
11.307 * [taylor]: Taking taylor expansion of 1 in J
11.307 * [backup-simplify]: Simplify 1 into 1
11.307 * [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)))
11.307 * [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)))
11.308 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
11.308 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
11.308 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.309 * [backup-simplify]: Simplify (+ 0) into 0
11.309 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
11.310 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
11.310 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.311 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
11.311 * [backup-simplify]: Simplify (- 0) into 0
11.312 * [backup-simplify]: Simplify (+ 0 0) into 0
11.312 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
11.312 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
11.313 * [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
11.313 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0
11.314 * [backup-simplify]: Simplify (+ 0 0) into 0
11.314 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
11.314 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K
11.314 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K
11.314 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
11.314 * [taylor]: Taking taylor expansion of 1/4 in K
11.314 * [backup-simplify]: Simplify 1/4 into 1/4
11.314 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
11.314 * [taylor]: Taking taylor expansion of (pow U 2) in K
11.314 * [taylor]: Taking taylor expansion of U in K
11.314 * [backup-simplify]: Simplify U into U
11.314 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
11.314 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
11.314 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
11.314 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
11.314 * [taylor]: Taking taylor expansion of 1/2 in K
11.315 * [backup-simplify]: Simplify 1/2 into 1/2
11.315 * [taylor]: Taking taylor expansion of K in K
11.315 * [backup-simplify]: Simplify 0 into 0
11.315 * [backup-simplify]: Simplify 1 into 1
11.315 * [backup-simplify]: Simplify (* 1/2 0) into 0
11.316 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
11.316 * [taylor]: Taking taylor expansion of (pow J 2) in K
11.316 * [taylor]: Taking taylor expansion of J in K
11.316 * [backup-simplify]: Simplify J into J
11.316 * [backup-simplify]: Simplify (* U U) into (pow U 2)
11.316 * [backup-simplify]: Simplify (* 1 1) into 1
11.316 * [backup-simplify]: Simplify (* J J) into (pow J 2)
11.316 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
11.317 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
11.317 * [taylor]: Taking taylor expansion of 1 in K
11.317 * [backup-simplify]: Simplify 1 into 1
11.317 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2)))
11.317 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
11.317 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
11.317 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
11.317 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
11.318 * [backup-simplify]: Simplify (+ 0) into 0
11.319 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.319 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
11.319 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
11.320 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0
11.320 * [backup-simplify]: Simplify (+ 0 0) into 0
11.321 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
11.321 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
11.321 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
11.321 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
11.321 * [taylor]: Taking taylor expansion of 1/4 in U
11.321 * [backup-simplify]: Simplify 1/4 into 1/4
11.321 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
11.321 * [taylor]: Taking taylor expansion of (pow U 2) in U
11.321 * [taylor]: Taking taylor expansion of U in U
11.321 * [backup-simplify]: Simplify 0 into 0
11.321 * [backup-simplify]: Simplify 1 into 1
11.321 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
11.321 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
11.321 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
11.321 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
11.321 * [taylor]: Taking taylor expansion of 1/2 in U
11.321 * [backup-simplify]: Simplify 1/2 into 1/2
11.321 * [taylor]: Taking taylor expansion of K in U
11.321 * [backup-simplify]: Simplify K into K
11.321 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
11.321 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
11.321 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
11.322 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
11.322 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
11.322 * [backup-simplify]: Simplify (- 0) into 0
11.322 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
11.322 * [taylor]: Taking taylor expansion of (pow J 2) in U
11.322 * [taylor]: Taking taylor expansion of J in U
11.322 * [backup-simplify]: Simplify J into J
11.323 * [backup-simplify]: Simplify (* 1 1) into 1
11.323 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
11.323 * [backup-simplify]: Simplify (* J J) into (pow J 2)
11.323 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
11.323 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
11.323 * [taylor]: Taking taylor expansion of 1 in U
11.323 * [backup-simplify]: Simplify 1 into 1
11.324 * [backup-simplify]: Simplify (+ 0 1) into 1
11.324 * [backup-simplify]: Simplify (sqrt 1) into 1
11.325 * [backup-simplify]: Simplify (+ 0 0) into 0
11.325 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.325 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
11.325 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
11.325 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
11.325 * [taylor]: Taking taylor expansion of 1/4 in U
11.326 * [backup-simplify]: Simplify 1/4 into 1/4
11.326 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
11.326 * [taylor]: Taking taylor expansion of (pow U 2) in U
11.326 * [taylor]: Taking taylor expansion of U in U
11.326 * [backup-simplify]: Simplify 0 into 0
11.326 * [backup-simplify]: Simplify 1 into 1
11.326 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
11.326 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
11.326 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
11.326 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
11.326 * [taylor]: Taking taylor expansion of 1/2 in U
11.326 * [backup-simplify]: Simplify 1/2 into 1/2
11.326 * [taylor]: Taking taylor expansion of K in U
11.326 * [backup-simplify]: Simplify K into K
11.326 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
11.326 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
11.326 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
11.326 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
11.326 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
11.327 * [backup-simplify]: Simplify (- 0) into 0
11.327 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
11.327 * [taylor]: Taking taylor expansion of (pow J 2) in U
11.327 * [taylor]: Taking taylor expansion of J in U
11.327 * [backup-simplify]: Simplify J into J
11.327 * [backup-simplify]: Simplify (* 1 1) into 1
11.327 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
11.327 * [backup-simplify]: Simplify (* J J) into (pow J 2)
11.328 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
11.328 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
11.328 * [taylor]: Taking taylor expansion of 1 in U
11.328 * [backup-simplify]: Simplify 1 into 1
11.328 * [backup-simplify]: Simplify (+ 0 1) into 1
11.329 * [backup-simplify]: Simplify (sqrt 1) into 1
11.329 * [backup-simplify]: Simplify (+ 0 0) into 0
11.330 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.330 * [taylor]: Taking taylor expansion of 1 in K
11.330 * [backup-simplify]: Simplify 1 into 1
11.330 * [taylor]: Taking taylor expansion of 1 in J
11.330 * [backup-simplify]: Simplify 1 into 1
11.330 * [taylor]: Taking taylor expansion of 0 in K
11.330 * [backup-simplify]: Simplify 0 into 0
11.330 * [taylor]: Taking taylor expansion of 0 in J
11.330 * [backup-simplify]: Simplify 0 into 0
11.330 * [taylor]: Taking taylor expansion of 0 in J
11.330 * [backup-simplify]: Simplify 0 into 0
11.330 * [backup-simplify]: Simplify 1 into 1
11.331 * [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)))
11.331 * [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))))
11.332 * [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)))
11.332 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
11.332 * [taylor]: Taking taylor expansion of 1/8 in K
11.332 * [backup-simplify]: Simplify 1/8 into 1/8
11.333 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
11.333 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
11.333 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
11.333 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
11.333 * [taylor]: Taking taylor expansion of 1/2 in K
11.333 * [backup-simplify]: Simplify 1/2 into 1/2
11.333 * [taylor]: Taking taylor expansion of K in K
11.333 * [backup-simplify]: Simplify 0 into 0
11.333 * [backup-simplify]: Simplify 1 into 1
11.333 * [backup-simplify]: Simplify (* 1/2 0) into 0
11.334 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
11.334 * [taylor]: Taking taylor expansion of (pow J 2) in K
11.334 * [taylor]: Taking taylor expansion of J in K
11.334 * [backup-simplify]: Simplify J into J
11.334 * [backup-simplify]: Simplify (* 1 1) into 1
11.335 * [backup-simplify]: Simplify (* J J) into (pow J 2)
11.335 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
11.335 * [backup-simplify]: Simplify (/ 1/8 (pow J 2)) into (/ 1/8 (pow J 2))
11.335 * [taylor]: Taking taylor expansion of (/ 1/8 (pow J 2)) in J
11.335 * [taylor]: Taking taylor expansion of 1/8 in J
11.335 * [backup-simplify]: Simplify 1/8 into 1/8
11.335 * [taylor]: Taking taylor expansion of (pow J 2) in J
11.335 * [taylor]: Taking taylor expansion of J in J
11.335 * [backup-simplify]: Simplify 0 into 0
11.335 * [backup-simplify]: Simplify 1 into 1
11.335 * [backup-simplify]: Simplify (* 1 1) into 1
11.336 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8
11.336 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.337 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0
11.337 * [backup-simplify]: Simplify 0 into 0
11.337 * [taylor]: Taking taylor expansion of 0 in J
11.337 * [backup-simplify]: Simplify 0 into 0
11.337 * [taylor]: Taking taylor expansion of 0 in J
11.338 * [backup-simplify]: Simplify 0 into 0
11.338 * [backup-simplify]: Simplify 0 into 0
11.338 * [backup-simplify]: Simplify 0 into 0
11.338 * [backup-simplify]: Simplify 0 into 0
11.338 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.338 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
11.339 * [backup-simplify]: Simplify (+ 0) into 0
11.339 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
11.340 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
11.341 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.341 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
11.342 * [backup-simplify]: Simplify (- 0) into 0
11.342 * [backup-simplify]: Simplify (+ 0 0) into 0
11.342 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
11.342 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0
11.343 * [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
11.344 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0
11.344 * [backup-simplify]: Simplify (+ 0 0) into 0
11.345 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0
11.345 * [taylor]: Taking taylor expansion of 0 in K
11.345 * [backup-simplify]: Simplify 0 into 0
11.345 * [taylor]: Taking taylor expansion of 0 in J
11.345 * [backup-simplify]: Simplify 0 into 0
11.345 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
11.345 * [backup-simplify]: Simplify (+ 0) into 0
11.346 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.346 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
11.347 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/8 (pow J 2)) (/ 0 (pow J 2))))) into 0
11.347 * [taylor]: Taking taylor expansion of 0 in J
11.347 * [backup-simplify]: Simplify 0 into 0
11.347 * [taylor]: Taking taylor expansion of 0 in J
11.347 * [backup-simplify]: Simplify 0 into 0
11.347 * [taylor]: Taking taylor expansion of 0 in J
11.347 * [backup-simplify]: Simplify 0 into 0
11.348 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.349 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.349 * [backup-simplify]: Simplify 0 into 0
11.349 * [backup-simplify]: Simplify 0 into 0
11.349 * [backup-simplify]: Simplify 1 into 1
11.350 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* (cos (/ (/ 1 K) 2)) (* 2 (/ 1 J)))) (/ (/ 1 U) (* (cos (/ (/ 1 K) 2)) (* 2 (/ 1 J))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
11.350 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U K J) around 0
11.350 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
11.350 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
11.350 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
11.350 * [taylor]: Taking taylor expansion of 1/4 in J
11.350 * [backup-simplify]: Simplify 1/4 into 1/4
11.350 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
11.350 * [taylor]: Taking taylor expansion of (pow J 2) in J
11.350 * [taylor]: Taking taylor expansion of J in J
11.350 * [backup-simplify]: Simplify 0 into 0
11.350 * [backup-simplify]: Simplify 1 into 1
11.350 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
11.350 * [taylor]: Taking taylor expansion of (pow U 2) in J
11.350 * [taylor]: Taking taylor expansion of U in J
11.350 * [backup-simplify]: Simplify U into U
11.350 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
11.350 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
11.350 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
11.350 * [taylor]: Taking taylor expansion of 1/2 in J
11.351 * [backup-simplify]: Simplify 1/2 into 1/2
11.351 * [taylor]: Taking taylor expansion of K in J
11.351 * [backup-simplify]: Simplify K into K
11.351 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
11.351 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
11.351 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
11.351 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
11.351 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
11.353 * [backup-simplify]: Simplify (- 0) into 0
11.353 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
11.354 * [backup-simplify]: Simplify (* 1 1) into 1
11.354 * [backup-simplify]: Simplify (* U U) into (pow U 2)
11.354 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
11.354 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
11.355 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
11.355 * [taylor]: Taking taylor expansion of 1 in J
11.355 * [backup-simplify]: Simplify 1 into 1
11.355 * [backup-simplify]: Simplify (+ 0 1) into 1
11.355 * [backup-simplify]: Simplify (sqrt 1) into 1
11.355 * [backup-simplify]: Simplify (+ 0 0) into 0
11.356 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.356 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K
11.356 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K
11.356 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
11.356 * [taylor]: Taking taylor expansion of 1/4 in K
11.356 * [backup-simplify]: Simplify 1/4 into 1/4
11.356 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
11.356 * [taylor]: Taking taylor expansion of (pow J 2) in K
11.356 * [taylor]: Taking taylor expansion of J in K
11.356 * [backup-simplify]: Simplify J into J
11.356 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
11.356 * [taylor]: Taking taylor expansion of (pow U 2) in K
11.356 * [taylor]: Taking taylor expansion of U in K
11.356 * [backup-simplify]: Simplify U into U
11.356 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
11.356 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
11.356 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
11.356 * [taylor]: Taking taylor expansion of 1/2 in K
11.356 * [backup-simplify]: Simplify 1/2 into 1/2
11.356 * [taylor]: Taking taylor expansion of K in K
11.356 * [backup-simplify]: Simplify 0 into 0
11.356 * [backup-simplify]: Simplify 1 into 1
11.356 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.357 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
11.357 * [backup-simplify]: Simplify (* J J) into (pow J 2)
11.357 * [backup-simplify]: Simplify (* U U) into (pow U 2)
11.357 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
11.357 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
11.357 * [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)))
11.357 * [taylor]: Taking taylor expansion of 1 in K
11.357 * [backup-simplify]: Simplify 1 into 1
11.357 * [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))))
11.357 * [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)
11.358 * [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))
11.358 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
11.358 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
11.358 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
11.358 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
11.358 * [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
11.359 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
11.359 * [backup-simplify]: Simplify (+ 0 0) into 0
11.359 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
11.359 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
11.359 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
11.359 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
11.359 * [taylor]: Taking taylor expansion of 1/4 in U
11.359 * [backup-simplify]: Simplify 1/4 into 1/4
11.359 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
11.359 * [taylor]: Taking taylor expansion of (pow J 2) in U
11.359 * [taylor]: Taking taylor expansion of J in U
11.359 * [backup-simplify]: Simplify J into J
11.359 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
11.359 * [taylor]: Taking taylor expansion of (pow U 2) in U
11.359 * [taylor]: Taking taylor expansion of U in U
11.359 * [backup-simplify]: Simplify 0 into 0
11.359 * [backup-simplify]: Simplify 1 into 1
11.359 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
11.359 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
11.359 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
11.359 * [taylor]: Taking taylor expansion of 1/2 in U
11.359 * [backup-simplify]: Simplify 1/2 into 1/2
11.359 * [taylor]: Taking taylor expansion of K in U
11.359 * [backup-simplify]: Simplify K into K
11.359 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
11.360 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
11.360 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
11.360 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
11.360 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
11.360 * [backup-simplify]: Simplify (- 0) into 0
11.360 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
11.360 * [backup-simplify]: Simplify (* J J) into (pow J 2)
11.360 * [backup-simplify]: Simplify (* 1 1) into 1
11.360 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
11.360 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
11.361 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
11.361 * [taylor]: Taking taylor expansion of 1 in U
11.361 * [backup-simplify]: Simplify 1 into 1
11.361 * [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)))
11.361 * [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)))
11.361 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
11.361 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
11.361 * [backup-simplify]: Simplify (+ 0) into 0
11.362 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
11.362 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
11.362 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.362 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
11.363 * [backup-simplify]: Simplify (- 0) into 0
11.363 * [backup-simplify]: Simplify (+ 0 0) into 0
11.363 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
11.363 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.364 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
11.364 * [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
11.364 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
11.365 * [backup-simplify]: Simplify (+ 0 0) into 0
11.365 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
11.365 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
11.365 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
11.365 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
11.365 * [taylor]: Taking taylor expansion of 1/4 in U
11.365 * [backup-simplify]: Simplify 1/4 into 1/4
11.365 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
11.365 * [taylor]: Taking taylor expansion of (pow J 2) in U
11.365 * [taylor]: Taking taylor expansion of J in U
11.365 * [backup-simplify]: Simplify J into J
11.365 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
11.365 * [taylor]: Taking taylor expansion of (pow U 2) in U
11.365 * [taylor]: Taking taylor expansion of U in U
11.365 * [backup-simplify]: Simplify 0 into 0
11.365 * [backup-simplify]: Simplify 1 into 1
11.365 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
11.365 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
11.365 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
11.365 * [taylor]: Taking taylor expansion of 1/2 in U
11.365 * [backup-simplify]: Simplify 1/2 into 1/2
11.365 * [taylor]: Taking taylor expansion of K in U
11.365 * [backup-simplify]: Simplify K into K
11.365 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
11.365 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
11.365 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
11.365 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
11.365 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
11.366 * [backup-simplify]: Simplify (- 0) into 0
11.366 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
11.366 * [backup-simplify]: Simplify (* J J) into (pow J 2)
11.366 * [backup-simplify]: Simplify (* 1 1) into 1
11.366 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
11.366 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
11.366 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
11.366 * [taylor]: Taking taylor expansion of 1 in U
11.366 * [backup-simplify]: Simplify 1 into 1
11.366 * [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)))
11.366 * [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)))
11.367 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
11.367 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
11.367 * [backup-simplify]: Simplify (+ 0) into 0
11.367 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
11.367 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
11.368 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.368 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
11.368 * [backup-simplify]: Simplify (- 0) into 0
11.369 * [backup-simplify]: Simplify (+ 0 0) into 0
11.369 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
11.369 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.369 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
11.370 * [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))))) into 0
11.370 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
11.370 * [backup-simplify]: Simplify (+ 0 0) into 0
11.370 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
11.370 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in K
11.371 * [taylor]: Taking taylor expansion of 1/2 in K
11.371 * [backup-simplify]: Simplify 1/2 into 1/2
11.371 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in K
11.371 * [taylor]: Taking taylor expansion of J in K
11.371 * [backup-simplify]: Simplify J into J
11.371 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
11.371 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
11.371 * [taylor]: Taking taylor expansion of 1/2 in K
11.371 * [backup-simplify]: Simplify 1/2 into 1/2
11.371 * [taylor]: Taking taylor expansion of K in K
11.371 * [backup-simplify]: Simplify 0 into 0
11.371 * [backup-simplify]: Simplify 1 into 1
11.371 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.371 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
11.371 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K)))
11.371 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
11.371 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J
11.371 * [taylor]: Taking taylor expansion of 1/2 in J
11.371 * [backup-simplify]: Simplify 1/2 into 1/2
11.371 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J
11.371 * [taylor]: Taking taylor expansion of J in J
11.371 * [backup-simplify]: Simplify 0 into 0
11.371 * [backup-simplify]: Simplify 1 into 1
11.371 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
11.371 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
11.371 * [taylor]: Taking taylor expansion of 1/2 in J
11.371 * [backup-simplify]: Simplify 1/2 into 1/2
11.371 * [taylor]: Taking taylor expansion of K in J
11.371 * [backup-simplify]: Simplify K into K
11.371 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
11.371 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
11.371 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
11.372 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
11.372 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
11.372 * [backup-simplify]: Simplify (- 0) into 0
11.372 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
11.372 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K)))
11.372 * [taylor]: Taking taylor expansion of 0 in K
11.372 * [backup-simplify]: Simplify 0 into 0
11.372 * [taylor]: Taking taylor expansion of 0 in J
11.372 * [backup-simplify]: Simplify 0 into 0
11.372 * [backup-simplify]: Simplify 0 into 0
11.372 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
11.373 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0
11.373 * [taylor]: Taking taylor expansion of 0 in J
11.373 * [backup-simplify]: Simplify 0 into 0
11.373 * [backup-simplify]: Simplify 0 into 0
11.373 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K)))
11.373 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
11.373 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
11.374 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.374 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
11.374 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
11.375 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.375 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
11.375 * [backup-simplify]: Simplify (- 0) into 0
11.376 * [backup-simplify]: Simplify (+ 0 0) into 0
11.376 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
11.377 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.377 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
11.377 * [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
11.378 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0
11.378 * [backup-simplify]: Simplify (+ 0 1) into 1
11.379 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J)
11.379 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K
11.379 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
11.379 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
11.379 * [taylor]: Taking taylor expansion of 1/2 in K
11.379 * [backup-simplify]: Simplify 1/2 into 1/2
11.379 * [taylor]: Taking taylor expansion of K in K
11.379 * [backup-simplify]: Simplify 0 into 0
11.379 * [backup-simplify]: Simplify 1 into 1
11.379 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.379 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
11.379 * [taylor]: Taking taylor expansion of J in K
11.379 * [backup-simplify]: Simplify J into J
11.379 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
11.379 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
11.379 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
11.379 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
11.379 * [taylor]: Taking taylor expansion of 1/2 in J
11.379 * [backup-simplify]: Simplify 1/2 into 1/2
11.379 * [taylor]: Taking taylor expansion of K in J
11.380 * [backup-simplify]: Simplify K into K
11.380 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
11.380 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
11.380 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
11.380 * [taylor]: Taking taylor expansion of J in J
11.380 * [backup-simplify]: Simplify 0 into 0
11.380 * [backup-simplify]: Simplify 1 into 1
11.380 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
11.380 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
11.380 * [backup-simplify]: Simplify (- 0) into 0
11.380 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
11.380 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
11.380 * [backup-simplify]: Simplify (+ 0) into 0
11.381 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
11.381 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
11.381 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.382 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
11.382 * [backup-simplify]: Simplify (- 0) into 0
11.382 * [backup-simplify]: Simplify (+ 0 0) into 0
11.383 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0
11.383 * [backup-simplify]: Simplify 0 into 0
11.383 * [taylor]: Taking taylor expansion of 0 in J
11.383 * [backup-simplify]: Simplify 0 into 0
11.383 * [backup-simplify]: Simplify 0 into 0
11.383 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0
11.384 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0
11.384 * [taylor]: Taking taylor expansion of 0 in J
11.384 * [backup-simplify]: Simplify 0 into 0
11.384 * [backup-simplify]: Simplify 0 into 0
11.384 * [backup-simplify]: Simplify 0 into 0
11.384 * [backup-simplify]: Simplify 0 into 0
11.384 * [backup-simplify]: Simplify (+ 0) into 0
11.384 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
11.384 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
11.385 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.385 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
11.385 * [backup-simplify]: Simplify (- 0) into 0
11.386 * [backup-simplify]: Simplify (+ 0 0) into 0
11.386 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
11.386 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0
11.386 * [backup-simplify]: Simplify 0 into 0
11.386 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* (/ 1 J) (* 1 (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
11.387 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J))))) (/ (/ 1 (- U)) (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J)))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))
11.387 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U K J) around 0
11.387 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
11.387 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
11.387 * [taylor]: Taking taylor expansion of 1 in J
11.387 * [backup-simplify]: Simplify 1 into 1
11.387 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
11.387 * [taylor]: Taking taylor expansion of 1/4 in J
11.387 * [backup-simplify]: Simplify 1/4 into 1/4
11.387 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
11.387 * [taylor]: Taking taylor expansion of (pow J 2) in J
11.387 * [taylor]: Taking taylor expansion of J in J
11.387 * [backup-simplify]: Simplify 0 into 0
11.387 * [backup-simplify]: Simplify 1 into 1
11.387 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
11.387 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
11.387 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
11.387 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
11.387 * [taylor]: Taking taylor expansion of -1/2 in J
11.387 * [backup-simplify]: Simplify -1/2 into -1/2
11.387 * [taylor]: Taking taylor expansion of K in J
11.387 * [backup-simplify]: Simplify K into K
11.387 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
11.387 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
11.387 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
11.387 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
11.387 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
11.388 * [backup-simplify]: Simplify (- 0) into 0
11.388 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
11.388 * [taylor]: Taking taylor expansion of (pow U 2) in J
11.388 * [taylor]: Taking taylor expansion of U in J
11.388 * [backup-simplify]: Simplify U into U
11.388 * [backup-simplify]: Simplify (* 1 1) into 1
11.388 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
11.388 * [backup-simplify]: Simplify (* U U) into (pow U 2)
11.388 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
11.388 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
11.389 * [backup-simplify]: Simplify (+ 1 0) into 1
11.389 * [backup-simplify]: Simplify (sqrt 1) into 1
11.389 * [backup-simplify]: Simplify (+ 0 0) into 0
11.390 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.390 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K
11.390 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K
11.390 * [taylor]: Taking taylor expansion of 1 in K
11.390 * [backup-simplify]: Simplify 1 into 1
11.390 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
11.390 * [taylor]: Taking taylor expansion of 1/4 in K
11.390 * [backup-simplify]: Simplify 1/4 into 1/4
11.390 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
11.390 * [taylor]: Taking taylor expansion of (pow J 2) in K
11.390 * [taylor]: Taking taylor expansion of J in K
11.390 * [backup-simplify]: Simplify J into J
11.390 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
11.390 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
11.390 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
11.390 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
11.390 * [taylor]: Taking taylor expansion of -1/2 in K
11.390 * [backup-simplify]: Simplify -1/2 into -1/2
11.390 * [taylor]: Taking taylor expansion of K in K
11.390 * [backup-simplify]: Simplify 0 into 0
11.390 * [backup-simplify]: Simplify 1 into 1
11.390 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
11.390 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
11.390 * [taylor]: Taking taylor expansion of (pow U 2) in K
11.390 * [taylor]: Taking taylor expansion of U in K
11.390 * [backup-simplify]: Simplify U into U
11.390 * [backup-simplify]: Simplify (* J J) into (pow J 2)
11.390 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
11.390 * [backup-simplify]: Simplify (* U U) into (pow U 2)
11.391 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
11.391 * [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)))
11.391 * [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))))
11.391 * [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)))))
11.391 * [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))))))
11.391 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
11.391 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
11.392 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
11.392 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
11.392 * [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
11.393 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
11.393 * [backup-simplify]: Simplify (+ 0 0) into 0
11.393 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0
11.393 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
11.393 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
11.393 * [taylor]: Taking taylor expansion of 1 in U
11.393 * [backup-simplify]: Simplify 1 into 1
11.393 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
11.393 * [taylor]: Taking taylor expansion of 1/4 in U
11.393 * [backup-simplify]: Simplify 1/4 into 1/4
11.393 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
11.393 * [taylor]: Taking taylor expansion of (pow J 2) in U
11.393 * [taylor]: Taking taylor expansion of J in U
11.393 * [backup-simplify]: Simplify J into J
11.393 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
11.393 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
11.393 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
11.393 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
11.393 * [taylor]: Taking taylor expansion of -1/2 in U
11.393 * [backup-simplify]: Simplify -1/2 into -1/2
11.393 * [taylor]: Taking taylor expansion of K in U
11.393 * [backup-simplify]: Simplify K into K
11.394 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
11.394 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
11.394 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
11.394 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
11.394 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
11.394 * [backup-simplify]: Simplify (- 0) into 0
11.394 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
11.394 * [taylor]: Taking taylor expansion of (pow U 2) in U
11.394 * [taylor]: Taking taylor expansion of U in U
11.394 * [backup-simplify]: Simplify 0 into 0
11.394 * [backup-simplify]: Simplify 1 into 1
11.394 * [backup-simplify]: Simplify (* J J) into (pow J 2)
11.394 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
11.394 * [backup-simplify]: Simplify (* 1 1) into 1
11.395 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
11.395 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
11.395 * [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)))
11.395 * [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)))
11.395 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
11.395 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
11.396 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.396 * [backup-simplify]: Simplify (+ 0) into 0
11.396 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
11.396 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
11.397 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.397 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
11.397 * [backup-simplify]: Simplify (- 0) into 0
11.397 * [backup-simplify]: Simplify (+ 0 0) into 0
11.398 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
11.398 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
11.398 * [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
11.399 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
11.399 * [backup-simplify]: Simplify (+ 0 0) into 0
11.399 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
11.399 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
11.399 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
11.399 * [taylor]: Taking taylor expansion of 1 in U
11.399 * [backup-simplify]: Simplify 1 into 1
11.399 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
11.399 * [taylor]: Taking taylor expansion of 1/4 in U
11.399 * [backup-simplify]: Simplify 1/4 into 1/4
11.399 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
11.399 * [taylor]: Taking taylor expansion of (pow J 2) in U
11.399 * [taylor]: Taking taylor expansion of J in U
11.399 * [backup-simplify]: Simplify J into J
11.399 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
11.399 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
11.399 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
11.399 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
11.399 * [taylor]: Taking taylor expansion of -1/2 in U
11.399 * [backup-simplify]: Simplify -1/2 into -1/2
11.399 * [taylor]: Taking taylor expansion of K in U
11.399 * [backup-simplify]: Simplify K into K
11.399 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
11.399 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
11.399 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
11.400 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
11.400 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
11.400 * [backup-simplify]: Simplify (- 0) into 0
11.400 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
11.400 * [taylor]: Taking taylor expansion of (pow U 2) in U
11.400 * [taylor]: Taking taylor expansion of U in U
11.400 * [backup-simplify]: Simplify 0 into 0
11.400 * [backup-simplify]: Simplify 1 into 1
11.400 * [backup-simplify]: Simplify (* J J) into (pow J 2)
11.400 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
11.400 * [backup-simplify]: Simplify (* 1 1) into 1
11.400 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
11.401 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
11.401 * [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)))
11.401 * [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)))
11.401 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
11.401 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
11.402 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.402 * [backup-simplify]: Simplify (+ 0) into 0
11.402 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
11.402 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
11.403 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.403 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
11.404 * [backup-simplify]: Simplify (- 0) into 0
11.404 * [backup-simplify]: Simplify (+ 0 0) into 0
11.404 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
11.404 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
11.405 * [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
11.405 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
11.405 * [backup-simplify]: Simplify (+ 0 0) into 0
11.405 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
11.405 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in K
11.405 * [taylor]: Taking taylor expansion of 1/2 in K
11.405 * [backup-simplify]: Simplify 1/2 into 1/2
11.405 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in K
11.405 * [taylor]: Taking taylor expansion of J in K
11.406 * [backup-simplify]: Simplify J into J
11.406 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
11.406 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
11.406 * [taylor]: Taking taylor expansion of -1/2 in K
11.406 * [backup-simplify]: Simplify -1/2 into -1/2
11.406 * [taylor]: Taking taylor expansion of K in K
11.406 * [backup-simplify]: Simplify 0 into 0
11.406 * [backup-simplify]: Simplify 1 into 1
11.406 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
11.406 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
11.406 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K)))
11.406 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
11.406 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J
11.406 * [taylor]: Taking taylor expansion of 1/2 in J
11.406 * [backup-simplify]: Simplify 1/2 into 1/2
11.406 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J
11.406 * [taylor]: Taking taylor expansion of J in J
11.406 * [backup-simplify]: Simplify 0 into 0
11.406 * [backup-simplify]: Simplify 1 into 1
11.406 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
11.406 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
11.406 * [taylor]: Taking taylor expansion of -1/2 in J
11.406 * [backup-simplify]: Simplify -1/2 into -1/2
11.406 * [taylor]: Taking taylor expansion of K in J
11.406 * [backup-simplify]: Simplify K into K
11.406 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
11.406 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
11.406 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
11.406 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
11.407 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
11.407 * [backup-simplify]: Simplify (- 0) into 0
11.407 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
11.407 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K)))
11.407 * [taylor]: Taking taylor expansion of 0 in K
11.407 * [backup-simplify]: Simplify 0 into 0
11.407 * [taylor]: Taking taylor expansion of 0 in J
11.407 * [backup-simplify]: Simplify 0 into 0
11.407 * [backup-simplify]: Simplify 0 into 0
11.407 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
11.408 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0
11.408 * [taylor]: Taking taylor expansion of 0 in J
11.408 * [backup-simplify]: Simplify 0 into 0
11.408 * [backup-simplify]: Simplify 0 into 0
11.408 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K)))
11.408 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
11.408 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
11.409 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.409 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.410 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
11.410 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
11.410 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.410 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
11.411 * [backup-simplify]: Simplify (- 0) into 0
11.411 * [backup-simplify]: Simplify (+ 0 0) into 0
11.411 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
11.412 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
11.412 * [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
11.413 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0
11.413 * [backup-simplify]: Simplify (+ 1 0) into 1
11.414 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J)
11.414 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K
11.414 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
11.414 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
11.414 * [taylor]: Taking taylor expansion of -1/2 in K
11.414 * [backup-simplify]: Simplify -1/2 into -1/2
11.414 * [taylor]: Taking taylor expansion of K in K
11.414 * [backup-simplify]: Simplify 0 into 0
11.414 * [backup-simplify]: Simplify 1 into 1
11.414 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
11.414 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
11.414 * [taylor]: Taking taylor expansion of J in K
11.414 * [backup-simplify]: Simplify J into J
11.414 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
11.414 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
11.414 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
11.414 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
11.414 * [taylor]: Taking taylor expansion of -1/2 in J
11.414 * [backup-simplify]: Simplify -1/2 into -1/2
11.414 * [taylor]: Taking taylor expansion of K in J
11.414 * [backup-simplify]: Simplify K into K
11.414 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
11.414 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
11.414 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
11.414 * [taylor]: Taking taylor expansion of J in J
11.414 * [backup-simplify]: Simplify 0 into 0
11.415 * [backup-simplify]: Simplify 1 into 1
11.415 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
11.415 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
11.415 * [backup-simplify]: Simplify (- 0) into 0
11.415 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
11.415 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
11.415 * [backup-simplify]: Simplify (+ 0) into 0
11.416 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
11.416 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
11.416 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.416 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
11.417 * [backup-simplify]: Simplify (- 0) into 0
11.417 * [backup-simplify]: Simplify (+ 0 0) into 0
11.417 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0
11.418 * [backup-simplify]: Simplify 0 into 0
11.418 * [taylor]: Taking taylor expansion of 0 in J
11.418 * [backup-simplify]: Simplify 0 into 0
11.418 * [backup-simplify]: Simplify 0 into 0
11.418 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0
11.419 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0
11.419 * [taylor]: Taking taylor expansion of 0 in J
11.419 * [backup-simplify]: Simplify 0 into 0
11.419 * [backup-simplify]: Simplify 0 into 0
11.419 * [backup-simplify]: Simplify 0 into 0
11.419 * [backup-simplify]: Simplify 0 into 0
11.419 * [backup-simplify]: Simplify (+ 0) into 0
11.420 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
11.420 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
11.420 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.421 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
11.421 * [backup-simplify]: Simplify (- 0) into 0
11.421 * [backup-simplify]: Simplify (+ 0 0) into 0
11.421 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
11.422 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0
11.422 * [backup-simplify]: Simplify 0 into 0
11.422 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (- J)) (* 1 (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
11.422 * * * [progress]: simplifying candidates
11.422 * * * * [progress]: [ 1 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* (* J (* -2 (cos (/ K 2)))) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt (pow (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1) 1/2))))))>
11.422 * * * * [progress]: [ 2 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* (* J (* -2 (cos (/ K 2)))) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt (pow (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) 1))))))>
11.422 * * * * [progress]: [ 3 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* (* J (* -2 (cos (/ K 2)))) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt (exp (log (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))))))))>
11.422 * * * * [progress]: [ 4 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* (* J (* -2 (cos (/ K 2)))) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt (log (exp (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))))))))>
11.423 * * * * [progress]: [ 5 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* (* J (* -2 (cos (/ K 2)))) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt (* (* (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)))))))))>
11.423 * * * * [progress]: [ 6 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* (* J (* -2 (cos (/ K 2)))) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt (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))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))))))))>
11.423 * * * * [progress]: [ 7 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* (* J (* -2 (cos (/ K 2)))) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt (* (sqrt (* (cbrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) (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)))))))))>
11.423 * * * * [progress]: [ 8 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* (* J (* -2 (cos (/ K 2)))) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt (* (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)))))))))>
11.423 * * * * [progress]: [ 9 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* (* J (* -2 (cos (/ K 2)))) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt (* (sqrt 1) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))))>
11.423 * * * * [progress]: [ 10 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* (* J (* -2 (cos (/ K 2)))) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt (/ (sqrt (+ (pow (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 3) (pow 1 3))) (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 1) (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))))))>
11.423 * * * * [progress]: [ 11 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* (* J (* -2 (cos (/ K 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)))) (* (/ 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))))))))>
11.423 * * * * [progress]: [ 12 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* (* J (* -2 (cos (/ K 2)))) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt (pow (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1) (/ 1 2)))))))>
11.423 * * * * [progress]: [ 13 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* (* J (* -2 (cos (/ K 2)))) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt (* (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)))))))))>
11.423 * * * * [progress]: [ 14 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* (* J (* -2 (cos (/ K 2)))) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt (fabs (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))))>
11.423 * * * * [progress]: [ 15 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* (* J (* -2 (cos (/ K 2)))) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt (* 1 (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))))>
11.423 * * * * [progress]: [ 16 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* (* J (* -2 (cos (/ K 2)))) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt (posit16->real (real->posit16 (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))))))))>
11.423 * * * * [progress]: [ 17 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* (* J (* -2 (cos (/ K 2)))) (sqrt (pow (+ (* (/ 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)))))))>
11.423 * * * * [progress]: [ 18 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* (* J (* -2 (cos (/ K 2)))) (sqrt (pow (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) 1))) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))))))>
11.423 * * * * [progress]: [ 19 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* (* J (* -2 (cos (/ K 2)))) (sqrt (exp (log (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)))))))>
11.423 * * * * [progress]: [ 20 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* (* J (* -2 (cos (/ K 2)))) (sqrt (log (exp (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)))))))>
11.424 * * * * [progress]: [ 21 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* (* J (* -2 (cos (/ K 2)))) (sqrt (* (* (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 (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))))))>
11.424 * * * * [progress]: [ 22 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* (* J (* -2 (cos (/ K 2)))) (sqrt (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))) (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)))))))>
11.424 * * * * [progress]: [ 23 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* (* J (* -2 (cos (/ K 2)))) (sqrt (* (sqrt (* (cbrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) (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)))))))>
11.424 * * * * [progress]: [ 24 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* (* J (* -2 (cos (/ K 2)))) (sqrt (* (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)))))) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))))))>
11.424 * * * * [progress]: [ 25 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* (* J (* -2 (cos (/ K 2)))) (sqrt (* (sqrt 1) (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)))))))>
11.424 * * * * [progress]: [ 26 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* (* J (* -2 (cos (/ K 2)))) (sqrt (/ (sqrt (+ (pow (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 3) (pow 1 3))) (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 1) (* (* (/ 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)))))))>
11.424 * * * * [progress]: [ 27 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* (* J (* -2 (cos (/ K 2)))) (sqrt (/ (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 1))) (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)))))))>
11.424 * * * * [progress]: [ 28 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* (* J (* -2 (cos (/ K 2)))) (sqrt (pow (+ (* (/ 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)))))))>
11.424 * * * * [progress]: [ 29 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* (* J (* -2 (cos (/ K 2)))) (sqrt (* (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)))))) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))))))>
11.424 * * * * [progress]: [ 30 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* (* J (* -2 (cos (/ K 2)))) (sqrt (fabs (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)))))))>
11.424 * * * * [progress]: [ 31 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* (* J (* -2 (cos (/ K 2)))) (sqrt (* 1 (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)))))))>
11.424 * * * * [progress]: [ 32 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* (* J (* -2 (cos (/ K 2)))) (sqrt (posit16->real (real->posit16 (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)))))))>
11.424 * * * * [progress]: [ 33 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (pow (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1) 1/2)))) (cbrt (* (* (* J (* -2 (cos (/ K 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)))))))>
11.424 * * * * [progress]: [ 34 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (pow (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) 1)))) (cbrt (* (* (* J (* -2 (cos (/ K 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)))))))>
11.424 * * * * [progress]: [ 35 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (exp (log (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))) (cbrt (* (* (* J (* -2 (cos (/ K 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)))))))>
11.424 * * * * [progress]: [ 36 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (log (exp (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))) (cbrt (* (* (* J (* -2 (cos (/ K 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)))))))>
11.424 * * * * [progress]: [ 37 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (* (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))))))) (cbrt (* (* (* J (* -2 (cos (/ K 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)))))))>
11.425 * * * * [progress]: [ 38 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (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))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))) (cbrt (* (* (* J (* -2 (cos (/ K 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)))))))>
11.425 * * * * [progress]: [ 39 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (sqrt (* (cbrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) (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))))))) (cbrt (* (* (* J (* -2 (cos (/ K 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)))))))>
11.425 * * * * [progress]: [ 40 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 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))))))) (cbrt (* (* (* J (* -2 (cos (/ K 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)))))))>
11.425 * * * * [progress]: [ 41 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (sqrt 1) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))))) (cbrt (* (* (* J (* -2 (cos (/ K 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)))))))>
11.425 * * * * [progress]: [ 42 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (/ (sqrt (+ (pow (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 3) (pow 1 3))) (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 1) (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))))))) (cbrt (* (* (* J (* -2 (cos (/ K 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)))))))>
11.425 * * * * [progress]: [ 43 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (/ (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 1))) (sqrt (- (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))))) (cbrt (* (* (* J (* -2 (cos (/ K 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)))))))>
11.425 * * * * [progress]: [ 44 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (pow (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1) (/ 1 2))))) (cbrt (* (* (* J (* -2 (cos (/ K 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)))))))>
11.425 * * * * [progress]: [ 45 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 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))))))) (cbrt (* (* (* J (* -2 (cos (/ K 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)))))))>
11.425 * * * * [progress]: [ 46 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (fabs (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))))) (cbrt (* (* (* J (* -2 (cos (/ K 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)))))))>
11.425 * * * * [progress]: [ 47 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* 1 (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))))) (cbrt (* (* (* J (* -2 (cos (/ K 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)))))))>
11.425 * * * * [progress]: [ 48 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (posit16->real (real->posit16 (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))) (cbrt (* (* (* J (* -2 (cos (/ K 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)))))))>
11.425 * * * * [progress]: [ 49 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (pow (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1) 1/2))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* (* J (* -2 (cos (/ K 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)))))))>
11.425 * * * * [progress]: [ 50 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (pow (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) 1))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* (* J (* -2 (cos (/ K 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)))))))>
11.425 * * * * [progress]: [ 51 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (exp (log (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* (* J (* -2 (cos (/ K 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)))))))>
11.425 * * * * [progress]: [ 52 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (log (exp (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* (* J (* -2 (cos (/ K 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)))))))>
11.425 * * * * [progress]: [ 53 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (* (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)))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* (* J (* -2 (cos (/ K 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)))))))>
11.425 * * * * [progress]: [ 54 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (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))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* (* J (* -2 (cos (/ K 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)))))))>
11.425 * * * * [progress]: [ 55 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (sqrt (* (cbrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) (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)))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* (* J (* -2 (cos (/ K 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)))))))>
11.426 * * * * [progress]: [ 56 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 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)))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* (* J (* -2 (cos (/ K 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)))))))>
11.426 * * * * [progress]: [ 57 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (sqrt 1) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* (* J (* -2 (cos (/ K 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)))))))>
11.426 * * * * [progress]: [ 58 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (/ (sqrt (+ (pow (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 3) (pow 1 3))) (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 1) (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* (* J (* -2 (cos (/ K 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)))))))>
11.426 * * * * [progress]: [ 59 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (/ (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 1))) (sqrt (- (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* (* J (* -2 (cos (/ K 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)))))))>
11.426 * * * * [progress]: [ 60 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (pow (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1) (/ 1 2)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* (* J (* -2 (cos (/ K 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)))))))>
11.426 * * * * [progress]: [ 61 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 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)))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* (* J (* -2 (cos (/ K 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)))))))>
11.426 * * * * [progress]: [ 62 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (fabs (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* (* J (* -2 (cos (/ K 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)))))))>
11.426 * * * * [progress]: [ 63 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (* 1 (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* (* J (* -2 (cos (/ K 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)))))))>
11.426 * * * * [progress]: [ 64 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (posit16->real (real->posit16 (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* (* J (* -2 (cos (/ K 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)))))))>
11.426 * * * * [progress]: [ 65 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* (* J (* -2 (cos (/ K 2)))) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt 1)))))>
11.426 * * * * [progress]: [ 66 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* (* J (* -2 (cos (/ K 2)))) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt (* 1/2 (/ U (* (cos (* 1/2 K)) J))))))))>
11.426 * * * * [progress]: [ 67 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* (* J (* -2 (cos (/ K 2)))) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt (* 1/2 (/ U (* (cos (* 1/2 K)) J))))))))>
11.426 * * * * [progress]: [ 68 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* (* J (* -2 (cos (/ K 2)))) (sqrt 1)) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))))))>
11.426 * * * * [progress]: [ 69 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* (* J (* -2 (cos (/ K 2)))) (sqrt (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))))))>
11.426 * * * * [progress]: [ 70 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* (* J (* -2 (cos (/ K 2)))) (sqrt (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))))))>
11.426 * * * * [progress]: [ 71 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) 1))) (cbrt (* (* (* J (* -2 (cos (/ K 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)))))))>
11.426 * * * * [progress]: [ 72 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) (cbrt (* (* (* J (* -2 (cos (/ K 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)))))))>
11.426 * * * * [progress]: [ 73 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) (cbrt (* (* (* J (* -2 (cos (/ K 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)))))))>
11.426 * * * * [progress]: [ 74 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) 1)) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* (* J (* -2 (cos (/ K 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)))))))>
11.426 * * * * [progress]: [ 75 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* (* J (* -2 (cos (/ K 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)))))))>
11.427 * * * * [progress]: [ 76 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* (* J (* -2 (cos (/ K 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)))))))>
11.427 * [simplify]: Simplifying:
  (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)) (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)))
  (sqrt (* (cbrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) (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)))
  (sqrt 1)
  (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))
  (sqrt (+ (pow (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 3) (pow 1 3)))
  (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 1) (* (* (/ 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 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)) (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)))
  (sqrt (* (cbrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) (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)))
  (sqrt 1)
  (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))
  (sqrt (+ (pow (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 3) (pow 1 3)))
  (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 1) (* (* (/ 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 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)) (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)))
  (sqrt (* (cbrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) (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)))
  (sqrt 1)
  (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))
  (sqrt (+ (pow (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 3) (pow 1 3)))
  (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 1) (* (* (/ 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 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)) (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)))
  (sqrt (* (cbrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) (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)))
  (sqrt 1)
  (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))
  (sqrt (+ (pow (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 3) (pow 1 3)))
  (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 1) (* (* (/ 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 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 (/ 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)))
11.429 * * [simplify]: iteration 0: 48 enodes
11.439 * * [simplify]: iteration 1: 95 enodes
11.474 * * [simplify]: iteration 2: 261 enodes
11.659 * * [simplify]: iteration 3: 1148 enodes
12.084 * * [simplify]: iteration 4: 2067 enodes
12.598 * * [simplify]: iteration complete: 2067 enodes
12.598 * * [simplify]: Extracting #0: cost 17 inf + 0
12.599 * * [simplify]: Extracting #1: cost 66 inf + 2
12.599 * * [simplify]: Extracting #2: cost 130 inf + 358
12.602 * * [simplify]: Extracting #3: cost 348 inf + 1572
12.607 * * [simplify]: Extracting #4: cost 693 inf + 7826
12.631 * * [simplify]: Extracting #5: cost 419 inf + 123873
12.671 * * [simplify]: Extracting #6: cost 41 inf + 239115
12.732 * * [simplify]: Extracting #7: cost 3 inf + 251366
12.817 * * [simplify]: Extracting #8: cost 0 inf + 252822
12.882 * [simplify]: Simplified to:
  (log (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1)))
  (exp (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1)))
  (* (cbrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1))) (cbrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1))))
  (cbrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1)))
  (* (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1)) (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1))
  (fabs (cbrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1)))
  (sqrt (cbrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1)))
  (sqrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1)))
  (sqrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1)))
  1
  (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1))
  (sqrt (+ (* (* (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) (* (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K))))) 1))
  (sqrt (+ (* (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K))))) (- 1 (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))))))
  (sqrt (+ (* (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K))))) -1))
  (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) -1))
  1/2
  (sqrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1)))
  (sqrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1)))
  (real->posit16 (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1)))
  (log (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1)))
  (exp (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1)))
  (* (cbrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1))) (cbrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1))))
  (cbrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1)))
  (* (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1)) (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1))
  (fabs (cbrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1)))
  (sqrt (cbrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1)))
  (sqrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1)))
  (sqrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1)))
  1
  (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1))
  (sqrt (+ (* (* (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) (* (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K))))) 1))
  (sqrt (+ (* (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K))))) (- 1 (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))))))
  (sqrt (+ (* (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K))))) -1))
  (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) -1))
  1/2
  (sqrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1)))
  (sqrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1)))
  (real->posit16 (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1)))
  (log (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1)))
  (exp (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1)))
  (* (cbrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1))) (cbrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1))))
  (cbrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1)))
  (* (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1)) (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1))
  (fabs (cbrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1)))
  (sqrt (cbrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1)))
  (sqrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1)))
  (sqrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1)))
  1
  (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1))
  (sqrt (+ (* (* (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) (* (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K))))) 1))
  (sqrt (+ (* (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K))))) (- 1 (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))))))
  (sqrt (+ (* (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K))))) -1))
  (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) -1))
  1/2
  (sqrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1)))
  (sqrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1)))
  (real->posit16 (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1)))
  (log (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1)))
  (exp (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1)))
  (* (cbrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1))) (cbrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1))))
  (cbrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1)))
  (* (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1)) (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1))
  (fabs (cbrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1)))
  (sqrt (cbrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1)))
  (sqrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1)))
  (sqrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1)))
  1
  (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1))
  (sqrt (+ (* (* (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) (* (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K))))) 1))
  (sqrt (+ (* (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K))))) (- 1 (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))))))
  (sqrt (+ (* (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K))))) -1))
  (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) -1))
  1/2
  (sqrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1)))
  (sqrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1)))
  (real->posit16 (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1)))
  1
  (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))
  (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))
  1
  (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))
  (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))
  1
  (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))
  (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))
  1
  (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))
  (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))
12.922 * * * [progress]: adding candidates to table
14.483 * * [progress]: iteration 4 / 4
14.483 * * * [progress]: picking best candidate
14.525 * * * * [pick]: Picked  #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (* (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))))))) (cbrt (* (* (* J (* -2 (cos (/ K 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)))))))>
14.525 * * * [progress]: localizing error
14.669 * * * [progress]: generating rewritten candidates
14.669 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1)
14.828 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 2 1)
14.967 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 2 2 1)
15.102 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 2 1 2 1)
15.218 * * * [progress]: generating series expansions
15.218 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1)
15.219 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))
15.219 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U K J) around 0
15.219 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J
15.219 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J
15.219 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
15.219 * [taylor]: Taking taylor expansion of 1/4 in J
15.219 * [backup-simplify]: Simplify 1/4 into 1/4
15.219 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
15.219 * [taylor]: Taking taylor expansion of (pow U 2) in J
15.219 * [taylor]: Taking taylor expansion of U in J
15.219 * [backup-simplify]: Simplify U into U
15.219 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
15.219 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
15.219 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
15.219 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
15.219 * [taylor]: Taking taylor expansion of 1/2 in J
15.219 * [backup-simplify]: Simplify 1/2 into 1/2
15.219 * [taylor]: Taking taylor expansion of K in J
15.219 * [backup-simplify]: Simplify K into K
15.219 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
15.219 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
15.219 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
15.220 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
15.220 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
15.220 * [backup-simplify]: Simplify (- 0) into 0
15.220 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
15.221 * [taylor]: Taking taylor expansion of (pow J 2) in J
15.221 * [taylor]: Taking taylor expansion of J in J
15.221 * [backup-simplify]: Simplify 0 into 0
15.221 * [backup-simplify]: Simplify 1 into 1
15.221 * [backup-simplify]: Simplify (* U U) into (pow U 2)
15.221 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
15.221 * [backup-simplify]: Simplify (* 1 1) into 1
15.221 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
15.222 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
15.222 * [taylor]: Taking taylor expansion of 1 in J
15.222 * [backup-simplify]: Simplify 1 into 1
15.222 * [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)))
15.222 * [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)))
15.222 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
15.222 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
15.223 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.224 * [backup-simplify]: Simplify (+ 0) into 0
15.224 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
15.225 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
15.225 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.226 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
15.226 * [backup-simplify]: Simplify (- 0) into 0
15.227 * [backup-simplify]: Simplify (+ 0 0) into 0
15.227 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
15.227 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
15.228 * [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
15.229 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0
15.229 * [backup-simplify]: Simplify (+ 0 0) into 0
15.229 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
15.229 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K
15.229 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K
15.229 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
15.229 * [taylor]: Taking taylor expansion of 1/4 in K
15.229 * [backup-simplify]: Simplify 1/4 into 1/4
15.229 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
15.229 * [taylor]: Taking taylor expansion of (pow U 2) in K
15.229 * [taylor]: Taking taylor expansion of U in K
15.230 * [backup-simplify]: Simplify U into U
15.230 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
15.230 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
15.230 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
15.230 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
15.230 * [taylor]: Taking taylor expansion of 1/2 in K
15.230 * [backup-simplify]: Simplify 1/2 into 1/2
15.230 * [taylor]: Taking taylor expansion of K in K
15.230 * [backup-simplify]: Simplify 0 into 0
15.230 * [backup-simplify]: Simplify 1 into 1
15.230 * [backup-simplify]: Simplify (* 1/2 0) into 0
15.231 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
15.231 * [taylor]: Taking taylor expansion of (pow J 2) in K
15.231 * [taylor]: Taking taylor expansion of J in K
15.231 * [backup-simplify]: Simplify J into J
15.231 * [backup-simplify]: Simplify (* U U) into (pow U 2)
15.232 * [backup-simplify]: Simplify (* 1 1) into 1
15.232 * [backup-simplify]: Simplify (* J J) into (pow J 2)
15.232 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
15.232 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
15.232 * [taylor]: Taking taylor expansion of 1 in K
15.232 * [backup-simplify]: Simplify 1 into 1
15.232 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2)))
15.232 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
15.232 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
15.233 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
15.233 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
15.233 * [backup-simplify]: Simplify (+ 0) into 0
15.234 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.234 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
15.235 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
15.235 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0
15.236 * [backup-simplify]: Simplify (+ 0 0) into 0
15.236 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
15.236 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
15.236 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
15.236 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
15.236 * [taylor]: Taking taylor expansion of 1/4 in U
15.236 * [backup-simplify]: Simplify 1/4 into 1/4
15.236 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
15.236 * [taylor]: Taking taylor expansion of (pow U 2) in U
15.236 * [taylor]: Taking taylor expansion of U in U
15.236 * [backup-simplify]: Simplify 0 into 0
15.236 * [backup-simplify]: Simplify 1 into 1
15.236 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
15.236 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
15.236 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
15.236 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
15.236 * [taylor]: Taking taylor expansion of 1/2 in U
15.236 * [backup-simplify]: Simplify 1/2 into 1/2
15.236 * [taylor]: Taking taylor expansion of K in U
15.237 * [backup-simplify]: Simplify K into K
15.237 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
15.237 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
15.237 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
15.237 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
15.237 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
15.237 * [backup-simplify]: Simplify (- 0) into 0
15.237 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
15.237 * [taylor]: Taking taylor expansion of (pow J 2) in U
15.237 * [taylor]: Taking taylor expansion of J in U
15.238 * [backup-simplify]: Simplify J into J
15.238 * [backup-simplify]: Simplify (* 1 1) into 1
15.238 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
15.238 * [backup-simplify]: Simplify (* J J) into (pow J 2)
15.238 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
15.239 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
15.239 * [taylor]: Taking taylor expansion of 1 in U
15.239 * [backup-simplify]: Simplify 1 into 1
15.239 * [backup-simplify]: Simplify (+ 0 1) into 1
15.240 * [backup-simplify]: Simplify (sqrt 1) into 1
15.240 * [backup-simplify]: Simplify (+ 0 0) into 0
15.241 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
15.241 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
15.241 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
15.241 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
15.241 * [taylor]: Taking taylor expansion of 1/4 in U
15.241 * [backup-simplify]: Simplify 1/4 into 1/4
15.241 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
15.241 * [taylor]: Taking taylor expansion of (pow U 2) in U
15.241 * [taylor]: Taking taylor expansion of U in U
15.241 * [backup-simplify]: Simplify 0 into 0
15.241 * [backup-simplify]: Simplify 1 into 1
15.241 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
15.241 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
15.241 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
15.241 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
15.241 * [taylor]: Taking taylor expansion of 1/2 in U
15.241 * [backup-simplify]: Simplify 1/2 into 1/2
15.241 * [taylor]: Taking taylor expansion of K in U
15.241 * [backup-simplify]: Simplify K into K
15.241 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
15.242 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
15.242 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
15.242 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
15.242 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
15.242 * [backup-simplify]: Simplify (- 0) into 0
15.242 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
15.242 * [taylor]: Taking taylor expansion of (pow J 2) in U
15.242 * [taylor]: Taking taylor expansion of J in U
15.242 * [backup-simplify]: Simplify J into J
15.243 * [backup-simplify]: Simplify (* 1 1) into 1
15.243 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
15.243 * [backup-simplify]: Simplify (* J J) into (pow J 2)
15.243 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
15.243 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
15.243 * [taylor]: Taking taylor expansion of 1 in U
15.243 * [backup-simplify]: Simplify 1 into 1
15.243 * [backup-simplify]: Simplify (+ 0 1) into 1
15.244 * [backup-simplify]: Simplify (sqrt 1) into 1
15.244 * [backup-simplify]: Simplify (+ 0 0) into 0
15.244 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
15.245 * [taylor]: Taking taylor expansion of 1 in K
15.245 * [backup-simplify]: Simplify 1 into 1
15.245 * [taylor]: Taking taylor expansion of 1 in J
15.245 * [backup-simplify]: Simplify 1 into 1
15.245 * [taylor]: Taking taylor expansion of 0 in K
15.245 * [backup-simplify]: Simplify 0 into 0
15.245 * [taylor]: Taking taylor expansion of 0 in J
15.245 * [backup-simplify]: Simplify 0 into 0
15.245 * [taylor]: Taking taylor expansion of 0 in J
15.245 * [backup-simplify]: Simplify 0 into 0
15.245 * [backup-simplify]: Simplify 1 into 1
15.245 * [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)))
15.245 * [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))))
15.246 * [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)))
15.246 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
15.246 * [taylor]: Taking taylor expansion of 1/8 in K
15.246 * [backup-simplify]: Simplify 1/8 into 1/8
15.246 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
15.246 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
15.246 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
15.246 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
15.246 * [taylor]: Taking taylor expansion of 1/2 in K
15.246 * [backup-simplify]: Simplify 1/2 into 1/2
15.246 * [taylor]: Taking taylor expansion of K in K
15.246 * [backup-simplify]: Simplify 0 into 0
15.246 * [backup-simplify]: Simplify 1 into 1
15.247 * [backup-simplify]: Simplify (* 1/2 0) into 0
15.247 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
15.247 * [taylor]: Taking taylor expansion of (pow J 2) in K
15.247 * [taylor]: Taking taylor expansion of J in K
15.247 * [backup-simplify]: Simplify J into J
15.247 * [backup-simplify]: Simplify (* 1 1) into 1
15.247 * [backup-simplify]: Simplify (* J J) into (pow J 2)
15.247 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
15.247 * [backup-simplify]: Simplify (/ 1/8 (pow J 2)) into (/ 1/8 (pow J 2))
15.248 * [taylor]: Taking taylor expansion of (/ 1/8 (pow J 2)) in J
15.248 * [taylor]: Taking taylor expansion of 1/8 in J
15.248 * [backup-simplify]: Simplify 1/8 into 1/8
15.248 * [taylor]: Taking taylor expansion of (pow J 2) in J
15.248 * [taylor]: Taking taylor expansion of J in J
15.248 * [backup-simplify]: Simplify 0 into 0
15.248 * [backup-simplify]: Simplify 1 into 1
15.248 * [backup-simplify]: Simplify (* 1 1) into 1
15.248 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8
15.249 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.249 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0
15.249 * [backup-simplify]: Simplify 0 into 0
15.249 * [taylor]: Taking taylor expansion of 0 in J
15.249 * [backup-simplify]: Simplify 0 into 0
15.249 * [taylor]: Taking taylor expansion of 0 in J
15.249 * [backup-simplify]: Simplify 0 into 0
15.249 * [backup-simplify]: Simplify 0 into 0
15.249 * [backup-simplify]: Simplify 0 into 0
15.249 * [backup-simplify]: Simplify 0 into 0
15.250 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.250 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
15.250 * [backup-simplify]: Simplify (+ 0) into 0
15.250 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
15.251 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
15.251 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.251 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
15.252 * [backup-simplify]: Simplify (- 0) into 0
15.252 * [backup-simplify]: Simplify (+ 0 0) into 0
15.252 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
15.252 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0
15.252 * [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
15.253 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0
15.253 * [backup-simplify]: Simplify (+ 0 0) into 0
15.254 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0
15.254 * [taylor]: Taking taylor expansion of 0 in K
15.254 * [backup-simplify]: Simplify 0 into 0
15.254 * [taylor]: Taking taylor expansion of 0 in J
15.254 * [backup-simplify]: Simplify 0 into 0
15.254 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
15.254 * [backup-simplify]: Simplify (+ 0) into 0
15.254 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.255 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
15.255 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/8 (pow J 2)) (/ 0 (pow J 2))))) into 0
15.255 * [taylor]: Taking taylor expansion of 0 in J
15.255 * [backup-simplify]: Simplify 0 into 0
15.255 * [taylor]: Taking taylor expansion of 0 in J
15.255 * [backup-simplify]: Simplify 0 into 0
15.255 * [taylor]: Taking taylor expansion of 0 in J
15.255 * [backup-simplify]: Simplify 0 into 0
15.255 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
15.257 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.257 * [backup-simplify]: Simplify 0 into 0
15.257 * [backup-simplify]: Simplify 0 into 0
15.257 * [backup-simplify]: Simplify 1 into 1
15.258 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* (cos (/ (/ 1 K) 2)) (* 2 (/ 1 J)))) (/ (/ 1 U) (* (cos (/ (/ 1 K) 2)) (* 2 (/ 1 J))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
15.258 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U K J) around 0
15.258 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
15.258 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
15.258 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
15.258 * [taylor]: Taking taylor expansion of 1/4 in J
15.258 * [backup-simplify]: Simplify 1/4 into 1/4
15.258 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
15.258 * [taylor]: Taking taylor expansion of (pow J 2) in J
15.258 * [taylor]: Taking taylor expansion of J in J
15.258 * [backup-simplify]: Simplify 0 into 0
15.258 * [backup-simplify]: Simplify 1 into 1
15.258 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
15.258 * [taylor]: Taking taylor expansion of (pow U 2) in J
15.258 * [taylor]: Taking taylor expansion of U in J
15.258 * [backup-simplify]: Simplify U into U
15.258 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
15.258 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
15.258 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
15.258 * [taylor]: Taking taylor expansion of 1/2 in J
15.258 * [backup-simplify]: Simplify 1/2 into 1/2
15.258 * [taylor]: Taking taylor expansion of K in J
15.258 * [backup-simplify]: Simplify K into K
15.258 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
15.258 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
15.258 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
15.258 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
15.258 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
15.259 * [backup-simplify]: Simplify (- 0) into 0
15.259 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
15.259 * [backup-simplify]: Simplify (* 1 1) into 1
15.259 * [backup-simplify]: Simplify (* U U) into (pow U 2)
15.259 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
15.259 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
15.260 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
15.260 * [taylor]: Taking taylor expansion of 1 in J
15.260 * [backup-simplify]: Simplify 1 into 1
15.260 * [backup-simplify]: Simplify (+ 0 1) into 1
15.260 * [backup-simplify]: Simplify (sqrt 1) into 1
15.260 * [backup-simplify]: Simplify (+ 0 0) into 0
15.261 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
15.261 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K
15.261 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K
15.261 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
15.261 * [taylor]: Taking taylor expansion of 1/4 in K
15.261 * [backup-simplify]: Simplify 1/4 into 1/4
15.261 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
15.261 * [taylor]: Taking taylor expansion of (pow J 2) in K
15.261 * [taylor]: Taking taylor expansion of J in K
15.261 * [backup-simplify]: Simplify J into J
15.261 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
15.261 * [taylor]: Taking taylor expansion of (pow U 2) in K
15.261 * [taylor]: Taking taylor expansion of U in K
15.261 * [backup-simplify]: Simplify U into U
15.261 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
15.261 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
15.261 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
15.261 * [taylor]: Taking taylor expansion of 1/2 in K
15.261 * [backup-simplify]: Simplify 1/2 into 1/2
15.261 * [taylor]: Taking taylor expansion of K in K
15.261 * [backup-simplify]: Simplify 0 into 0
15.261 * [backup-simplify]: Simplify 1 into 1
15.261 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
15.261 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
15.261 * [backup-simplify]: Simplify (* J J) into (pow J 2)
15.262 * [backup-simplify]: Simplify (* U U) into (pow U 2)
15.262 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
15.262 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
15.262 * [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)))
15.262 * [taylor]: Taking taylor expansion of 1 in K
15.262 * [backup-simplify]: Simplify 1 into 1
15.262 * [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))))
15.262 * [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)
15.262 * [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))
15.263 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
15.263 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
15.263 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
15.263 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
15.263 * [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
15.264 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
15.264 * [backup-simplify]: Simplify (+ 0 0) into 0
15.264 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
15.264 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
15.264 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
15.264 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
15.264 * [taylor]: Taking taylor expansion of 1/4 in U
15.264 * [backup-simplify]: Simplify 1/4 into 1/4
15.264 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
15.264 * [taylor]: Taking taylor expansion of (pow J 2) in U
15.264 * [taylor]: Taking taylor expansion of J in U
15.264 * [backup-simplify]: Simplify J into J
15.264 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
15.264 * [taylor]: Taking taylor expansion of (pow U 2) in U
15.264 * [taylor]: Taking taylor expansion of U in U
15.264 * [backup-simplify]: Simplify 0 into 0
15.264 * [backup-simplify]: Simplify 1 into 1
15.264 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
15.264 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
15.264 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
15.264 * [taylor]: Taking taylor expansion of 1/2 in U
15.264 * [backup-simplify]: Simplify 1/2 into 1/2
15.264 * [taylor]: Taking taylor expansion of K in U
15.264 * [backup-simplify]: Simplify K into K
15.264 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
15.265 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
15.265 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
15.265 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
15.265 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
15.265 * [backup-simplify]: Simplify (- 0) into 0
15.265 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
15.265 * [backup-simplify]: Simplify (* J J) into (pow J 2)
15.265 * [backup-simplify]: Simplify (* 1 1) into 1
15.265 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
15.265 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
15.266 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
15.266 * [taylor]: Taking taylor expansion of 1 in U
15.266 * [backup-simplify]: Simplify 1 into 1
15.266 * [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)))
15.266 * [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)))
15.266 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
15.266 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
15.266 * [backup-simplify]: Simplify (+ 0) into 0
15.267 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
15.267 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
15.267 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.268 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
15.268 * [backup-simplify]: Simplify (- 0) into 0
15.268 * [backup-simplify]: Simplify (+ 0 0) into 0
15.268 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
15.269 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.269 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
15.269 * [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
15.270 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
15.270 * [backup-simplify]: Simplify (+ 0 0) into 0
15.270 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
15.270 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
15.270 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
15.270 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
15.270 * [taylor]: Taking taylor expansion of 1/4 in U
15.270 * [backup-simplify]: Simplify 1/4 into 1/4
15.270 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
15.270 * [taylor]: Taking taylor expansion of (pow J 2) in U
15.270 * [taylor]: Taking taylor expansion of J in U
15.270 * [backup-simplify]: Simplify J into J
15.270 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
15.270 * [taylor]: Taking taylor expansion of (pow U 2) in U
15.270 * [taylor]: Taking taylor expansion of U in U
15.270 * [backup-simplify]: Simplify 0 into 0
15.270 * [backup-simplify]: Simplify 1 into 1
15.270 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
15.270 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
15.270 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
15.270 * [taylor]: Taking taylor expansion of 1/2 in U
15.270 * [backup-simplify]: Simplify 1/2 into 1/2
15.270 * [taylor]: Taking taylor expansion of K in U
15.270 * [backup-simplify]: Simplify K into K
15.270 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
15.270 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
15.270 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
15.270 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
15.271 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
15.271 * [backup-simplify]: Simplify (- 0) into 0
15.271 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
15.271 * [backup-simplify]: Simplify (* J J) into (pow J 2)
15.271 * [backup-simplify]: Simplify (* 1 1) into 1
15.272 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
15.272 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
15.272 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
15.272 * [taylor]: Taking taylor expansion of 1 in U
15.272 * [backup-simplify]: Simplify 1 into 1
15.272 * [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)))
15.272 * [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)))
15.273 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
15.273 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
15.273 * [backup-simplify]: Simplify (+ 0) into 0
15.274 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
15.274 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
15.275 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.275 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
15.275 * [backup-simplify]: Simplify (- 0) into 0
15.275 * [backup-simplify]: Simplify (+ 0 0) into 0
15.276 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
15.276 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.276 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
15.277 * [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
15.277 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
15.277 * [backup-simplify]: Simplify (+ 0 0) into 0
15.277 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
15.277 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in K
15.277 * [taylor]: Taking taylor expansion of 1/2 in K
15.278 * [backup-simplify]: Simplify 1/2 into 1/2
15.278 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in K
15.278 * [taylor]: Taking taylor expansion of J in K
15.278 * [backup-simplify]: Simplify J into J
15.278 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
15.278 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
15.278 * [taylor]: Taking taylor expansion of 1/2 in K
15.278 * [backup-simplify]: Simplify 1/2 into 1/2
15.278 * [taylor]: Taking taylor expansion of K in K
15.278 * [backup-simplify]: Simplify 0 into 0
15.278 * [backup-simplify]: Simplify 1 into 1
15.278 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
15.278 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
15.278 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K)))
15.278 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
15.278 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J
15.278 * [taylor]: Taking taylor expansion of 1/2 in J
15.278 * [backup-simplify]: Simplify 1/2 into 1/2
15.278 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J
15.278 * [taylor]: Taking taylor expansion of J in J
15.278 * [backup-simplify]: Simplify 0 into 0
15.278 * [backup-simplify]: Simplify 1 into 1
15.278 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
15.278 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
15.278 * [taylor]: Taking taylor expansion of 1/2 in J
15.278 * [backup-simplify]: Simplify 1/2 into 1/2
15.278 * [taylor]: Taking taylor expansion of K in J
15.278 * [backup-simplify]: Simplify K into K
15.278 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
15.279 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
15.279 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
15.279 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
15.279 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
15.279 * [backup-simplify]: Simplify (- 0) into 0
15.279 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
15.279 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K)))
15.279 * [taylor]: Taking taylor expansion of 0 in K
15.279 * [backup-simplify]: Simplify 0 into 0
15.279 * [taylor]: Taking taylor expansion of 0 in J
15.279 * [backup-simplify]: Simplify 0 into 0
15.279 * [backup-simplify]: Simplify 0 into 0
15.279 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
15.280 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0
15.280 * [taylor]: Taking taylor expansion of 0 in J
15.280 * [backup-simplify]: Simplify 0 into 0
15.280 * [backup-simplify]: Simplify 0 into 0
15.280 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K)))
15.280 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
15.280 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
15.281 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.281 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
15.281 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
15.282 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.282 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
15.282 * [backup-simplify]: Simplify (- 0) into 0
15.283 * [backup-simplify]: Simplify (+ 0 0) into 0
15.283 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
15.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
15.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
15.284 * [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
15.285 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0
15.285 * [backup-simplify]: Simplify (+ 0 1) into 1
15.286 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J)
15.286 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K
15.286 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
15.286 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
15.286 * [taylor]: Taking taylor expansion of 1/2 in K
15.286 * [backup-simplify]: Simplify 1/2 into 1/2
15.286 * [taylor]: Taking taylor expansion of K in K
15.286 * [backup-simplify]: Simplify 0 into 0
15.286 * [backup-simplify]: Simplify 1 into 1
15.287 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
15.287 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
15.287 * [taylor]: Taking taylor expansion of J in K
15.287 * [backup-simplify]: Simplify J into J
15.287 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
15.287 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
15.287 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
15.287 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
15.287 * [taylor]: Taking taylor expansion of 1/2 in J
15.287 * [backup-simplify]: Simplify 1/2 into 1/2
15.287 * [taylor]: Taking taylor expansion of K in J
15.287 * [backup-simplify]: Simplify K into K
15.287 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
15.287 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
15.287 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
15.287 * [taylor]: Taking taylor expansion of J in J
15.287 * [backup-simplify]: Simplify 0 into 0
15.287 * [backup-simplify]: Simplify 1 into 1
15.287 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
15.287 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
15.287 * [backup-simplify]: Simplify (- 0) into 0
15.287 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
15.288 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
15.288 * [backup-simplify]: Simplify (+ 0) into 0
15.288 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
15.288 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
15.289 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.289 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
15.289 * [backup-simplify]: Simplify (- 0) into 0
15.290 * [backup-simplify]: Simplify (+ 0 0) into 0
15.290 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0
15.290 * [backup-simplify]: Simplify 0 into 0
15.290 * [taylor]: Taking taylor expansion of 0 in J
15.290 * [backup-simplify]: Simplify 0 into 0
15.290 * [backup-simplify]: Simplify 0 into 0
15.290 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0
15.291 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0
15.291 * [taylor]: Taking taylor expansion of 0 in J
15.291 * [backup-simplify]: Simplify 0 into 0
15.291 * [backup-simplify]: Simplify 0 into 0
15.291 * [backup-simplify]: Simplify 0 into 0
15.291 * [backup-simplify]: Simplify 0 into 0
15.291 * [backup-simplify]: Simplify (+ 0) into 0
15.292 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
15.292 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
15.292 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.293 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
15.293 * [backup-simplify]: Simplify (- 0) into 0
15.293 * [backup-simplify]: Simplify (+ 0 0) into 0
15.293 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
15.293 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0
15.293 * [backup-simplify]: Simplify 0 into 0
15.294 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* (/ 1 J) (* 1 (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
15.294 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J))))) (/ (/ 1 (- U)) (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J)))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))
15.294 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U K J) around 0
15.294 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
15.294 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
15.294 * [taylor]: Taking taylor expansion of 1 in J
15.294 * [backup-simplify]: Simplify 1 into 1
15.294 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
15.294 * [taylor]: Taking taylor expansion of 1/4 in J
15.294 * [backup-simplify]: Simplify 1/4 into 1/4
15.294 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
15.294 * [taylor]: Taking taylor expansion of (pow J 2) in J
15.294 * [taylor]: Taking taylor expansion of J in J
15.294 * [backup-simplify]: Simplify 0 into 0
15.294 * [backup-simplify]: Simplify 1 into 1
15.294 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
15.294 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
15.294 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
15.294 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
15.294 * [taylor]: Taking taylor expansion of -1/2 in J
15.294 * [backup-simplify]: Simplify -1/2 into -1/2
15.294 * [taylor]: Taking taylor expansion of K in J
15.294 * [backup-simplify]: Simplify K into K
15.294 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
15.294 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
15.295 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
15.295 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
15.295 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
15.295 * [backup-simplify]: Simplify (- 0) into 0
15.295 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
15.295 * [taylor]: Taking taylor expansion of (pow U 2) in J
15.295 * [taylor]: Taking taylor expansion of U in J
15.295 * [backup-simplify]: Simplify U into U
15.296 * [backup-simplify]: Simplify (* 1 1) into 1
15.296 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
15.296 * [backup-simplify]: Simplify (* U U) into (pow U 2)
15.296 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
15.296 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
15.296 * [backup-simplify]: Simplify (+ 1 0) into 1
15.296 * [backup-simplify]: Simplify (sqrt 1) into 1
15.297 * [backup-simplify]: Simplify (+ 0 0) into 0
15.297 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
15.297 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K
15.297 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K
15.297 * [taylor]: Taking taylor expansion of 1 in K
15.297 * [backup-simplify]: Simplify 1 into 1
15.297 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
15.297 * [taylor]: Taking taylor expansion of 1/4 in K
15.297 * [backup-simplify]: Simplify 1/4 into 1/4
15.297 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
15.297 * [taylor]: Taking taylor expansion of (pow J 2) in K
15.297 * [taylor]: Taking taylor expansion of J in K
15.297 * [backup-simplify]: Simplify J into J
15.297 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
15.297 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
15.297 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
15.297 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
15.297 * [taylor]: Taking taylor expansion of -1/2 in K
15.297 * [backup-simplify]: Simplify -1/2 into -1/2
15.298 * [taylor]: Taking taylor expansion of K in K
15.298 * [backup-simplify]: Simplify 0 into 0
15.298 * [backup-simplify]: Simplify 1 into 1
15.298 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
15.298 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
15.298 * [taylor]: Taking taylor expansion of (pow U 2) in K
15.298 * [taylor]: Taking taylor expansion of U in K
15.298 * [backup-simplify]: Simplify U into U
15.298 * [backup-simplify]: Simplify (* J J) into (pow J 2)
15.298 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
15.298 * [backup-simplify]: Simplify (* U U) into (pow U 2)
15.298 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
15.298 * [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)))
15.298 * [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))))
15.299 * [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)))))
15.299 * [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))))))
15.299 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
15.299 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
15.299 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
15.299 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
15.300 * [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
15.300 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
15.301 * [backup-simplify]: Simplify (+ 0 0) into 0
15.301 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0
15.301 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
15.301 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
15.301 * [taylor]: Taking taylor expansion of 1 in U
15.301 * [backup-simplify]: Simplify 1 into 1
15.301 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
15.301 * [taylor]: Taking taylor expansion of 1/4 in U
15.301 * [backup-simplify]: Simplify 1/4 into 1/4
15.301 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
15.301 * [taylor]: Taking taylor expansion of (pow J 2) in U
15.301 * [taylor]: Taking taylor expansion of J in U
15.301 * [backup-simplify]: Simplify J into J
15.301 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
15.301 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
15.301 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
15.301 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
15.301 * [taylor]: Taking taylor expansion of -1/2 in U
15.301 * [backup-simplify]: Simplify -1/2 into -1/2
15.301 * [taylor]: Taking taylor expansion of K in U
15.301 * [backup-simplify]: Simplify K into K
15.301 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
15.301 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
15.301 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
15.301 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
15.301 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
15.302 * [backup-simplify]: Simplify (- 0) into 0
15.302 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
15.302 * [taylor]: Taking taylor expansion of (pow U 2) in U
15.302 * [taylor]: Taking taylor expansion of U in U
15.302 * [backup-simplify]: Simplify 0 into 0
15.302 * [backup-simplify]: Simplify 1 into 1
15.302 * [backup-simplify]: Simplify (* J J) into (pow J 2)
15.302 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
15.302 * [backup-simplify]: Simplify (* 1 1) into 1
15.302 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
15.302 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
15.303 * [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)))
15.303 * [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)))
15.303 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
15.303 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
15.303 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.304 * [backup-simplify]: Simplify (+ 0) into 0
15.304 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
15.304 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
15.304 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.305 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
15.305 * [backup-simplify]: Simplify (- 0) into 0
15.305 * [backup-simplify]: Simplify (+ 0 0) into 0
15.305 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
15.306 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
15.306 * [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
15.306 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
15.307 * [backup-simplify]: Simplify (+ 0 0) into 0
15.307 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
15.307 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
15.307 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
15.307 * [taylor]: Taking taylor expansion of 1 in U
15.307 * [backup-simplify]: Simplify 1 into 1
15.307 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
15.307 * [taylor]: Taking taylor expansion of 1/4 in U
15.307 * [backup-simplify]: Simplify 1/4 into 1/4
15.307 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
15.307 * [taylor]: Taking taylor expansion of (pow J 2) in U
15.307 * [taylor]: Taking taylor expansion of J in U
15.307 * [backup-simplify]: Simplify J into J
15.307 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
15.307 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
15.307 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
15.307 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
15.307 * [taylor]: Taking taylor expansion of -1/2 in U
15.307 * [backup-simplify]: Simplify -1/2 into -1/2
15.307 * [taylor]: Taking taylor expansion of K in U
15.307 * [backup-simplify]: Simplify K into K
15.307 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
15.307 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
15.307 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
15.307 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
15.307 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
15.308 * [backup-simplify]: Simplify (- 0) into 0
15.308 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
15.308 * [taylor]: Taking taylor expansion of (pow U 2) in U
15.308 * [taylor]: Taking taylor expansion of U in U
15.308 * [backup-simplify]: Simplify 0 into 0
15.308 * [backup-simplify]: Simplify 1 into 1
15.308 * [backup-simplify]: Simplify (* J J) into (pow J 2)
15.308 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
15.308 * [backup-simplify]: Simplify (* 1 1) into 1
15.308 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
15.308 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
15.308 * [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)))
15.309 * [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)))
15.309 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
15.309 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
15.309 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.309 * [backup-simplify]: Simplify (+ 0) into 0
15.310 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
15.310 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
15.310 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.311 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
15.311 * [backup-simplify]: Simplify (- 0) into 0
15.311 * [backup-simplify]: Simplify (+ 0 0) into 0
15.311 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
15.312 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
15.312 * [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
15.312 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
15.312 * [backup-simplify]: Simplify (+ 0 0) into 0
15.313 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
15.313 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in K
15.313 * [taylor]: Taking taylor expansion of 1/2 in K
15.313 * [backup-simplify]: Simplify 1/2 into 1/2
15.313 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in K
15.313 * [taylor]: Taking taylor expansion of J in K
15.313 * [backup-simplify]: Simplify J into J
15.313 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
15.313 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
15.313 * [taylor]: Taking taylor expansion of -1/2 in K
15.313 * [backup-simplify]: Simplify -1/2 into -1/2
15.313 * [taylor]: Taking taylor expansion of K in K
15.313 * [backup-simplify]: Simplify 0 into 0
15.313 * [backup-simplify]: Simplify 1 into 1
15.313 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
15.313 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
15.313 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K)))
15.313 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
15.313 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J
15.313 * [taylor]: Taking taylor expansion of 1/2 in J
15.313 * [backup-simplify]: Simplify 1/2 into 1/2
15.313 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J
15.313 * [taylor]: Taking taylor expansion of J in J
15.313 * [backup-simplify]: Simplify 0 into 0
15.313 * [backup-simplify]: Simplify 1 into 1
15.313 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
15.313 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
15.313 * [taylor]: Taking taylor expansion of -1/2 in J
15.314 * [backup-simplify]: Simplify -1/2 into -1/2
15.314 * [taylor]: Taking taylor expansion of K in J
15.314 * [backup-simplify]: Simplify K into K
15.314 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
15.314 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
15.314 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
15.314 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
15.314 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
15.314 * [backup-simplify]: Simplify (- 0) into 0
15.314 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
15.314 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K)))
15.314 * [taylor]: Taking taylor expansion of 0 in K
15.314 * [backup-simplify]: Simplify 0 into 0
15.314 * [taylor]: Taking taylor expansion of 0 in J
15.314 * [backup-simplify]: Simplify 0 into 0
15.314 * [backup-simplify]: Simplify 0 into 0
15.314 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
15.315 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0
15.315 * [taylor]: Taking taylor expansion of 0 in J
15.315 * [backup-simplify]: Simplify 0 into 0
15.315 * [backup-simplify]: Simplify 0 into 0
15.315 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K)))
15.315 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
15.316 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
15.317 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
15.318 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.318 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
15.319 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
15.319 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.320 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
15.320 * [backup-simplify]: Simplify (- 0) into 0
15.321 * [backup-simplify]: Simplify (+ 0 0) into 0
15.321 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
15.322 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
15.323 * [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
15.324 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0
15.324 * [backup-simplify]: Simplify (+ 1 0) into 1
15.325 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J)
15.325 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K
15.325 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
15.325 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
15.325 * [taylor]: Taking taylor expansion of -1/2 in K
15.325 * [backup-simplify]: Simplify -1/2 into -1/2
15.325 * [taylor]: Taking taylor expansion of K in K
15.325 * [backup-simplify]: Simplify 0 into 0
15.325 * [backup-simplify]: Simplify 1 into 1
15.326 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
15.326 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
15.326 * [taylor]: Taking taylor expansion of J in K
15.326 * [backup-simplify]: Simplify J into J
15.326 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
15.326 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
15.326 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
15.326 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
15.326 * [taylor]: Taking taylor expansion of -1/2 in J
15.326 * [backup-simplify]: Simplify -1/2 into -1/2
15.326 * [taylor]: Taking taylor expansion of K in J
15.326 * [backup-simplify]: Simplify K into K
15.326 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
15.326 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
15.326 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
15.326 * [taylor]: Taking taylor expansion of J in J
15.326 * [backup-simplify]: Simplify 0 into 0
15.326 * [backup-simplify]: Simplify 1 into 1
15.327 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
15.327 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
15.327 * [backup-simplify]: Simplify (- 0) into 0
15.327 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
15.327 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
15.328 * [backup-simplify]: Simplify (+ 0) into 0
15.328 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
15.328 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
15.329 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.330 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
15.330 * [backup-simplify]: Simplify (- 0) into 0
15.330 * [backup-simplify]: Simplify (+ 0 0) into 0
15.331 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0
15.331 * [backup-simplify]: Simplify 0 into 0
15.332 * [taylor]: Taking taylor expansion of 0 in J
15.332 * [backup-simplify]: Simplify 0 into 0
15.332 * [backup-simplify]: Simplify 0 into 0
15.332 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0
15.333 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0
15.333 * [taylor]: Taking taylor expansion of 0 in J
15.333 * [backup-simplify]: Simplify 0 into 0
15.333 * [backup-simplify]: Simplify 0 into 0
15.333 * [backup-simplify]: Simplify 0 into 0
15.333 * [backup-simplify]: Simplify 0 into 0
15.333 * [backup-simplify]: Simplify (+ 0) into 0
15.334 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
15.334 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
15.335 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.335 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
15.336 * [backup-simplify]: Simplify (- 0) into 0
15.336 * [backup-simplify]: Simplify (+ 0 0) into 0
15.337 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
15.337 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0
15.337 * [backup-simplify]: Simplify 0 into 0
15.337 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (- J)) (* 1 (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
15.337 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 2 1)
15.338 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))
15.338 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U K J) around 0
15.338 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J
15.338 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J
15.338 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
15.338 * [taylor]: Taking taylor expansion of 1/4 in J
15.338 * [backup-simplify]: Simplify 1/4 into 1/4
15.338 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
15.338 * [taylor]: Taking taylor expansion of (pow U 2) in J
15.338 * [taylor]: Taking taylor expansion of U in J
15.338 * [backup-simplify]: Simplify U into U
15.338 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
15.338 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
15.338 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
15.338 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
15.338 * [taylor]: Taking taylor expansion of 1/2 in J
15.339 * [backup-simplify]: Simplify 1/2 into 1/2
15.339 * [taylor]: Taking taylor expansion of K in J
15.339 * [backup-simplify]: Simplify K into K
15.339 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
15.339 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
15.339 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
15.339 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
15.339 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
15.339 * [backup-simplify]: Simplify (- 0) into 0
15.340 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
15.340 * [taylor]: Taking taylor expansion of (pow J 2) in J
15.340 * [taylor]: Taking taylor expansion of J in J
15.340 * [backup-simplify]: Simplify 0 into 0
15.340 * [backup-simplify]: Simplify 1 into 1
15.340 * [backup-simplify]: Simplify (* U U) into (pow U 2)
15.340 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
15.340 * [backup-simplify]: Simplify (* 1 1) into 1
15.340 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
15.341 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
15.341 * [taylor]: Taking taylor expansion of 1 in J
15.341 * [backup-simplify]: Simplify 1 into 1
15.341 * [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)))
15.341 * [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)))
15.341 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
15.341 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
15.342 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.343 * [backup-simplify]: Simplify (+ 0) into 0
15.343 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
15.343 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
15.344 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.344 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
15.344 * [backup-simplify]: Simplify (- 0) into 0
15.344 * [backup-simplify]: Simplify (+ 0 0) into 0
15.345 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
15.345 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
15.345 * [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
15.346 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0
15.346 * [backup-simplify]: Simplify (+ 0 0) into 0
15.346 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
15.346 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K
15.346 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K
15.346 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
15.346 * [taylor]: Taking taylor expansion of 1/4 in K
15.346 * [backup-simplify]: Simplify 1/4 into 1/4
15.346 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
15.346 * [taylor]: Taking taylor expansion of (pow U 2) in K
15.346 * [taylor]: Taking taylor expansion of U in K
15.346 * [backup-simplify]: Simplify U into U
15.346 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
15.346 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
15.346 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
15.346 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
15.347 * [taylor]: Taking taylor expansion of 1/2 in K
15.347 * [backup-simplify]: Simplify 1/2 into 1/2
15.347 * [taylor]: Taking taylor expansion of K in K
15.347 * [backup-simplify]: Simplify 0 into 0
15.347 * [backup-simplify]: Simplify 1 into 1
15.347 * [backup-simplify]: Simplify (* 1/2 0) into 0
15.347 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
15.347 * [taylor]: Taking taylor expansion of (pow J 2) in K
15.347 * [taylor]: Taking taylor expansion of J in K
15.347 * [backup-simplify]: Simplify J into J
15.347 * [backup-simplify]: Simplify (* U U) into (pow U 2)
15.348 * [backup-simplify]: Simplify (* 1 1) into 1
15.348 * [backup-simplify]: Simplify (* J J) into (pow J 2)
15.348 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
15.348 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
15.348 * [taylor]: Taking taylor expansion of 1 in K
15.348 * [backup-simplify]: Simplify 1 into 1
15.348 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2)))
15.348 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
15.348 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
15.348 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
15.348 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
15.349 * [backup-simplify]: Simplify (+ 0) into 0
15.349 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.349 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
15.350 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
15.350 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0
15.350 * [backup-simplify]: Simplify (+ 0 0) into 0
15.350 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
15.350 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
15.350 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
15.350 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
15.350 * [taylor]: Taking taylor expansion of 1/4 in U
15.350 * [backup-simplify]: Simplify 1/4 into 1/4
15.350 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
15.350 * [taylor]: Taking taylor expansion of (pow U 2) in U
15.351 * [taylor]: Taking taylor expansion of U in U
15.351 * [backup-simplify]: Simplify 0 into 0
15.351 * [backup-simplify]: Simplify 1 into 1
15.351 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
15.351 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
15.351 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
15.351 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
15.351 * [taylor]: Taking taylor expansion of 1/2 in U
15.351 * [backup-simplify]: Simplify 1/2 into 1/2
15.351 * [taylor]: Taking taylor expansion of K in U
15.351 * [backup-simplify]: Simplify K into K
15.351 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
15.351 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
15.351 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
15.351 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
15.351 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
15.351 * [backup-simplify]: Simplify (- 0) into 0
15.351 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
15.351 * [taylor]: Taking taylor expansion of (pow J 2) in U
15.351 * [taylor]: Taking taylor expansion of J in U
15.351 * [backup-simplify]: Simplify J into J
15.352 * [backup-simplify]: Simplify (* 1 1) into 1
15.352 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
15.352 * [backup-simplify]: Simplify (* J J) into (pow J 2)
15.352 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
15.352 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
15.352 * [taylor]: Taking taylor expansion of 1 in U
15.352 * [backup-simplify]: Simplify 1 into 1
15.352 * [backup-simplify]: Simplify (+ 0 1) into 1
15.352 * [backup-simplify]: Simplify (sqrt 1) into 1
15.353 * [backup-simplify]: Simplify (+ 0 0) into 0
15.353 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
15.353 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
15.353 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
15.353 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
15.353 * [taylor]: Taking taylor expansion of 1/4 in U
15.353 * [backup-simplify]: Simplify 1/4 into 1/4
15.353 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
15.353 * [taylor]: Taking taylor expansion of (pow U 2) in U
15.353 * [taylor]: Taking taylor expansion of U in U
15.353 * [backup-simplify]: Simplify 0 into 0
15.353 * [backup-simplify]: Simplify 1 into 1
15.353 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
15.353 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
15.353 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
15.353 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
15.353 * [taylor]: Taking taylor expansion of 1/2 in U
15.353 * [backup-simplify]: Simplify 1/2 into 1/2
15.353 * [taylor]: Taking taylor expansion of K in U
15.354 * [backup-simplify]: Simplify K into K
15.354 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
15.354 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
15.354 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
15.354 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
15.354 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
15.354 * [backup-simplify]: Simplify (- 0) into 0
15.354 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
15.354 * [taylor]: Taking taylor expansion of (pow J 2) in U
15.354 * [taylor]: Taking taylor expansion of J in U
15.354 * [backup-simplify]: Simplify J into J
15.354 * [backup-simplify]: Simplify (* 1 1) into 1
15.354 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
15.355 * [backup-simplify]: Simplify (* J J) into (pow J 2)
15.355 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
15.355 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
15.355 * [taylor]: Taking taylor expansion of 1 in U
15.355 * [backup-simplify]: Simplify 1 into 1
15.355 * [backup-simplify]: Simplify (+ 0 1) into 1
15.355 * [backup-simplify]: Simplify (sqrt 1) into 1
15.356 * [backup-simplify]: Simplify (+ 0 0) into 0
15.356 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
15.356 * [taylor]: Taking taylor expansion of 1 in K
15.356 * [backup-simplify]: Simplify 1 into 1
15.356 * [taylor]: Taking taylor expansion of 1 in J
15.356 * [backup-simplify]: Simplify 1 into 1
15.356 * [taylor]: Taking taylor expansion of 0 in K
15.356 * [backup-simplify]: Simplify 0 into 0
15.356 * [taylor]: Taking taylor expansion of 0 in J
15.356 * [backup-simplify]: Simplify 0 into 0
15.356 * [taylor]: Taking taylor expansion of 0 in J
15.356 * [backup-simplify]: Simplify 0 into 0
15.356 * [backup-simplify]: Simplify 1 into 1
15.356 * [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)))
15.357 * [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))))
15.358 * [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)))
15.358 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
15.358 * [taylor]: Taking taylor expansion of 1/8 in K
15.358 * [backup-simplify]: Simplify 1/8 into 1/8
15.358 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
15.358 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
15.358 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
15.358 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
15.358 * [taylor]: Taking taylor expansion of 1/2 in K
15.358 * [backup-simplify]: Simplify 1/2 into 1/2
15.358 * [taylor]: Taking taylor expansion of K in K
15.358 * [backup-simplify]: Simplify 0 into 0
15.358 * [backup-simplify]: Simplify 1 into 1
15.358 * [backup-simplify]: Simplify (* 1/2 0) into 0
15.359 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
15.359 * [taylor]: Taking taylor expansion of (pow J 2) in K
15.359 * [taylor]: Taking taylor expansion of J in K
15.359 * [backup-simplify]: Simplify J into J
15.359 * [backup-simplify]: Simplify (* 1 1) into 1
15.359 * [backup-simplify]: Simplify (* J J) into (pow J 2)
15.359 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
15.359 * [backup-simplify]: Simplify (/ 1/8 (pow J 2)) into (/ 1/8 (pow J 2))
15.359 * [taylor]: Taking taylor expansion of (/ 1/8 (pow J 2)) in J
15.359 * [taylor]: Taking taylor expansion of 1/8 in J
15.359 * [backup-simplify]: Simplify 1/8 into 1/8
15.359 * [taylor]: Taking taylor expansion of (pow J 2) in J
15.359 * [taylor]: Taking taylor expansion of J in J
15.359 * [backup-simplify]: Simplify 0 into 0
15.359 * [backup-simplify]: Simplify 1 into 1
15.360 * [backup-simplify]: Simplify (* 1 1) into 1
15.360 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8
15.360 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.361 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0
15.361 * [backup-simplify]: Simplify 0 into 0
15.361 * [taylor]: Taking taylor expansion of 0 in J
15.361 * [backup-simplify]: Simplify 0 into 0
15.361 * [taylor]: Taking taylor expansion of 0 in J
15.361 * [backup-simplify]: Simplify 0 into 0
15.361 * [backup-simplify]: Simplify 0 into 0
15.361 * [backup-simplify]: Simplify 0 into 0
15.361 * [backup-simplify]: Simplify 0 into 0
15.361 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.361 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
15.362 * [backup-simplify]: Simplify (+ 0) into 0
15.362 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
15.362 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
15.363 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.363 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
15.363 * [backup-simplify]: Simplify (- 0) into 0
15.364 * [backup-simplify]: Simplify (+ 0 0) into 0
15.364 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
15.364 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0
15.364 * [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
15.365 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0
15.365 * [backup-simplify]: Simplify (+ 0 0) into 0
15.365 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0
15.365 * [taylor]: Taking taylor expansion of 0 in K
15.365 * [backup-simplify]: Simplify 0 into 0
15.365 * [taylor]: Taking taylor expansion of 0 in J
15.365 * [backup-simplify]: Simplify 0 into 0
15.365 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
15.366 * [backup-simplify]: Simplify (+ 0) into 0
15.368 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.369 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
15.369 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/8 (pow J 2)) (/ 0 (pow J 2))))) into 0
15.369 * [taylor]: Taking taylor expansion of 0 in J
15.369 * [backup-simplify]: Simplify 0 into 0
15.369 * [taylor]: Taking taylor expansion of 0 in J
15.369 * [backup-simplify]: Simplify 0 into 0
15.369 * [taylor]: Taking taylor expansion of 0 in J
15.369 * [backup-simplify]: Simplify 0 into 0
15.369 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
15.370 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.370 * [backup-simplify]: Simplify 0 into 0
15.370 * [backup-simplify]: Simplify 0 into 0
15.370 * [backup-simplify]: Simplify 1 into 1
15.370 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* (cos (/ (/ 1 K) 2)) (* 2 (/ 1 J)))) (/ (/ 1 U) (* (cos (/ (/ 1 K) 2)) (* 2 (/ 1 J))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
15.370 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U K J) around 0
15.370 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
15.371 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
15.371 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
15.371 * [taylor]: Taking taylor expansion of 1/4 in J
15.371 * [backup-simplify]: Simplify 1/4 into 1/4
15.371 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
15.371 * [taylor]: Taking taylor expansion of (pow J 2) in J
15.371 * [taylor]: Taking taylor expansion of J in J
15.371 * [backup-simplify]: Simplify 0 into 0
15.371 * [backup-simplify]: Simplify 1 into 1
15.371 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
15.371 * [taylor]: Taking taylor expansion of (pow U 2) in J
15.371 * [taylor]: Taking taylor expansion of U in J
15.371 * [backup-simplify]: Simplify U into U
15.371 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
15.371 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
15.371 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
15.371 * [taylor]: Taking taylor expansion of 1/2 in J
15.371 * [backup-simplify]: Simplify 1/2 into 1/2
15.371 * [taylor]: Taking taylor expansion of K in J
15.371 * [backup-simplify]: Simplify K into K
15.371 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
15.371 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
15.371 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
15.371 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
15.371 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
15.371 * [backup-simplify]: Simplify (- 0) into 0
15.371 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
15.372 * [backup-simplify]: Simplify (* 1 1) into 1
15.372 * [backup-simplify]: Simplify (* U U) into (pow U 2)
15.372 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
15.372 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
15.372 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
15.372 * [taylor]: Taking taylor expansion of 1 in J
15.372 * [backup-simplify]: Simplify 1 into 1
15.372 * [backup-simplify]: Simplify (+ 0 1) into 1
15.373 * [backup-simplify]: Simplify (sqrt 1) into 1
15.373 * [backup-simplify]: Simplify (+ 0 0) into 0
15.373 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
15.373 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K
15.373 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K
15.373 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
15.373 * [taylor]: Taking taylor expansion of 1/4 in K
15.373 * [backup-simplify]: Simplify 1/4 into 1/4
15.373 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
15.373 * [taylor]: Taking taylor expansion of (pow J 2) in K
15.373 * [taylor]: Taking taylor expansion of J in K
15.373 * [backup-simplify]: Simplify J into J
15.373 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
15.373 * [taylor]: Taking taylor expansion of (pow U 2) in K
15.373 * [taylor]: Taking taylor expansion of U in K
15.373 * [backup-simplify]: Simplify U into U
15.373 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
15.374 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
15.374 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
15.374 * [taylor]: Taking taylor expansion of 1/2 in K
15.374 * [backup-simplify]: Simplify 1/2 into 1/2
15.374 * [taylor]: Taking taylor expansion of K in K
15.374 * [backup-simplify]: Simplify 0 into 0
15.374 * [backup-simplify]: Simplify 1 into 1
15.374 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
15.374 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
15.374 * [backup-simplify]: Simplify (* J J) into (pow J 2)
15.374 * [backup-simplify]: Simplify (* U U) into (pow U 2)
15.374 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
15.374 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
15.374 * [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)))
15.374 * [taylor]: Taking taylor expansion of 1 in K
15.374 * [backup-simplify]: Simplify 1 into 1
15.375 * [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))))
15.375 * [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)
15.375 * [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))
15.375 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
15.375 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
15.376 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
15.376 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
15.377 * [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
15.378 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
15.378 * [backup-simplify]: Simplify (+ 0 0) into 0
15.379 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
15.379 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
15.379 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
15.379 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
15.379 * [taylor]: Taking taylor expansion of 1/4 in U
15.379 * [backup-simplify]: Simplify 1/4 into 1/4
15.379 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
15.379 * [taylor]: Taking taylor expansion of (pow J 2) in U
15.379 * [taylor]: Taking taylor expansion of J in U
15.379 * [backup-simplify]: Simplify J into J
15.379 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
15.379 * [taylor]: Taking taylor expansion of (pow U 2) in U
15.379 * [taylor]: Taking taylor expansion of U in U
15.379 * [backup-simplify]: Simplify 0 into 0
15.379 * [backup-simplify]: Simplify 1 into 1
15.379 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
15.379 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
15.379 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
15.379 * [taylor]: Taking taylor expansion of 1/2 in U
15.379 * [backup-simplify]: Simplify 1/2 into 1/2
15.379 * [taylor]: Taking taylor expansion of K in U
15.379 * [backup-simplify]: Simplify K into K
15.379 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
15.379 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
15.379 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
15.380 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
15.380 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
15.380 * [backup-simplify]: Simplify (- 0) into 0
15.380 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
15.381 * [backup-simplify]: Simplify (* J J) into (pow J 2)
15.381 * [backup-simplify]: Simplify (* 1 1) into 1
15.381 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
15.381 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
15.381 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
15.381 * [taylor]: Taking taylor expansion of 1 in U
15.381 * [backup-simplify]: Simplify 1 into 1
15.382 * [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)))
15.382 * [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)))
15.382 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
15.382 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
15.383 * [backup-simplify]: Simplify (+ 0) into 0
15.383 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
15.383 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
15.384 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.385 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
15.385 * [backup-simplify]: Simplify (- 0) into 0
15.385 * [backup-simplify]: Simplify (+ 0 0) into 0
15.385 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
15.386 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.387 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
15.387 * [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
15.388 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
15.388 * [backup-simplify]: Simplify (+ 0 0) into 0
15.388 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
15.388 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
15.388 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
15.388 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
15.388 * [taylor]: Taking taylor expansion of 1/4 in U
15.388 * [backup-simplify]: Simplify 1/4 into 1/4
15.388 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
15.388 * [taylor]: Taking taylor expansion of (pow J 2) in U
15.389 * [taylor]: Taking taylor expansion of J in U
15.389 * [backup-simplify]: Simplify J into J
15.389 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
15.389 * [taylor]: Taking taylor expansion of (pow U 2) in U
15.389 * [taylor]: Taking taylor expansion of U in U
15.389 * [backup-simplify]: Simplify 0 into 0
15.389 * [backup-simplify]: Simplify 1 into 1
15.389 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
15.389 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
15.389 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
15.389 * [taylor]: Taking taylor expansion of 1/2 in U
15.389 * [backup-simplify]: Simplify 1/2 into 1/2
15.389 * [taylor]: Taking taylor expansion of K in U
15.389 * [backup-simplify]: Simplify K into K
15.389 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
15.389 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
15.389 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
15.389 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
15.389 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
15.390 * [backup-simplify]: Simplify (- 0) into 0
15.390 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
15.390 * [backup-simplify]: Simplify (* J J) into (pow J 2)
15.390 * [backup-simplify]: Simplify (* 1 1) into 1
15.390 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
15.390 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
15.390 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
15.391 * [taylor]: Taking taylor expansion of 1 in U
15.391 * [backup-simplify]: Simplify 1 into 1
15.391 * [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)))
15.391 * [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)))
15.391 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
15.391 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
15.392 * [backup-simplify]: Simplify (+ 0) into 0
15.392 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
15.392 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
15.393 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.394 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
15.394 * [backup-simplify]: Simplify (- 0) into 0
15.394 * [backup-simplify]: Simplify (+ 0 0) into 0
15.395 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
15.395 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.396 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
15.396 * [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
15.397 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
15.397 * [backup-simplify]: Simplify (+ 0 0) into 0
15.398 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
15.398 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in K
15.398 * [taylor]: Taking taylor expansion of 1/2 in K
15.398 * [backup-simplify]: Simplify 1/2 into 1/2
15.398 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in K
15.398 * [taylor]: Taking taylor expansion of J in K
15.398 * [backup-simplify]: Simplify J into J
15.398 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
15.398 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
15.398 * [taylor]: Taking taylor expansion of 1/2 in K
15.398 * [backup-simplify]: Simplify 1/2 into 1/2
15.398 * [taylor]: Taking taylor expansion of K in K
15.398 * [backup-simplify]: Simplify 0 into 0
15.398 * [backup-simplify]: Simplify 1 into 1
15.398 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
15.399 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
15.399 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K)))
15.399 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
15.399 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J
15.399 * [taylor]: Taking taylor expansion of 1/2 in J
15.399 * [backup-simplify]: Simplify 1/2 into 1/2
15.399 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J
15.399 * [taylor]: Taking taylor expansion of J in J
15.399 * [backup-simplify]: Simplify 0 into 0
15.399 * [backup-simplify]: Simplify 1 into 1
15.399 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
15.399 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
15.399 * [taylor]: Taking taylor expansion of 1/2 in J
15.399 * [backup-simplify]: Simplify 1/2 into 1/2
15.399 * [taylor]: Taking taylor expansion of K in J
15.399 * [backup-simplify]: Simplify K into K
15.399 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
15.399 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
15.399 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
15.399 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
15.399 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
15.400 * [backup-simplify]: Simplify (- 0) into 0
15.400 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
15.400 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K)))
15.400 * [taylor]: Taking taylor expansion of 0 in K
15.400 * [backup-simplify]: Simplify 0 into 0
15.400 * [taylor]: Taking taylor expansion of 0 in J
15.400 * [backup-simplify]: Simplify 0 into 0
15.400 * [backup-simplify]: Simplify 0 into 0
15.400 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
15.401 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0
15.401 * [taylor]: Taking taylor expansion of 0 in J
15.401 * [backup-simplify]: Simplify 0 into 0
15.401 * [backup-simplify]: Simplify 0 into 0
15.401 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K)))
15.401 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
15.402 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
15.403 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.403 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
15.403 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
15.404 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.405 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
15.405 * [backup-simplify]: Simplify (- 0) into 0
15.406 * [backup-simplify]: Simplify (+ 0 0) into 0
15.406 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
15.407 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
15.408 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
15.408 * [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
15.409 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0
15.410 * [backup-simplify]: Simplify (+ 0 1) into 1
15.411 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J)
15.411 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K
15.411 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
15.411 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
15.411 * [taylor]: Taking taylor expansion of 1/2 in K
15.411 * [backup-simplify]: Simplify 1/2 into 1/2
15.411 * [taylor]: Taking taylor expansion of K in K
15.411 * [backup-simplify]: Simplify 0 into 0
15.411 * [backup-simplify]: Simplify 1 into 1
15.412 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
15.412 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
15.412 * [taylor]: Taking taylor expansion of J in K
15.412 * [backup-simplify]: Simplify J into J
15.412 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
15.412 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
15.412 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
15.412 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
15.412 * [taylor]: Taking taylor expansion of 1/2 in J
15.412 * [backup-simplify]: Simplify 1/2 into 1/2
15.412 * [taylor]: Taking taylor expansion of K in J
15.412 * [backup-simplify]: Simplify K into K
15.412 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
15.412 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
15.412 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
15.412 * [taylor]: Taking taylor expansion of J in J
15.412 * [backup-simplify]: Simplify 0 into 0
15.412 * [backup-simplify]: Simplify 1 into 1
15.412 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
15.412 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
15.413 * [backup-simplify]: Simplify (- 0) into 0
15.413 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
15.413 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
15.413 * [backup-simplify]: Simplify (+ 0) into 0
15.414 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
15.414 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
15.415 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.415 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
15.416 * [backup-simplify]: Simplify (- 0) into 0
15.416 * [backup-simplify]: Simplify (+ 0 0) into 0
15.417 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0
15.417 * [backup-simplify]: Simplify 0 into 0
15.417 * [taylor]: Taking taylor expansion of 0 in J
15.417 * [backup-simplify]: Simplify 0 into 0
15.417 * [backup-simplify]: Simplify 0 into 0
15.417 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0
15.418 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0
15.418 * [taylor]: Taking taylor expansion of 0 in J
15.418 * [backup-simplify]: Simplify 0 into 0
15.418 * [backup-simplify]: Simplify 0 into 0
15.419 * [backup-simplify]: Simplify 0 into 0
15.419 * [backup-simplify]: Simplify 0 into 0
15.419 * [backup-simplify]: Simplify (+ 0) into 0
15.420 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
15.420 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
15.420 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.421 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
15.421 * [backup-simplify]: Simplify (- 0) into 0
15.422 * [backup-simplify]: Simplify (+ 0 0) into 0
15.422 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
15.422 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0
15.423 * [backup-simplify]: Simplify 0 into 0
15.423 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* (/ 1 J) (* 1 (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
15.424 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J))))) (/ (/ 1 (- U)) (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J)))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))
15.424 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U K J) around 0
15.424 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
15.424 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
15.424 * [taylor]: Taking taylor expansion of 1 in J
15.424 * [backup-simplify]: Simplify 1 into 1
15.424 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
15.424 * [taylor]: Taking taylor expansion of 1/4 in J
15.424 * [backup-simplify]: Simplify 1/4 into 1/4
15.424 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
15.424 * [taylor]: Taking taylor expansion of (pow J 2) in J
15.424 * [taylor]: Taking taylor expansion of J in J
15.424 * [backup-simplify]: Simplify 0 into 0
15.424 * [backup-simplify]: Simplify 1 into 1
15.424 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
15.424 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
15.424 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
15.424 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
15.424 * [taylor]: Taking taylor expansion of -1/2 in J
15.424 * [backup-simplify]: Simplify -1/2 into -1/2
15.424 * [taylor]: Taking taylor expansion of K in J
15.424 * [backup-simplify]: Simplify K into K
15.424 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
15.424 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
15.424 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
15.424 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
15.425 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
15.425 * [backup-simplify]: Simplify (- 0) into 0
15.425 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
15.425 * [taylor]: Taking taylor expansion of (pow U 2) in J
15.425 * [taylor]: Taking taylor expansion of U in J
15.425 * [backup-simplify]: Simplify U into U
15.426 * [backup-simplify]: Simplify (* 1 1) into 1
15.426 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
15.426 * [backup-simplify]: Simplify (* U U) into (pow U 2)
15.426 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
15.426 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
15.427 * [backup-simplify]: Simplify (+ 1 0) into 1
15.427 * [backup-simplify]: Simplify (sqrt 1) into 1
15.428 * [backup-simplify]: Simplify (+ 0 0) into 0
15.428 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
15.428 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K
15.428 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K
15.428 * [taylor]: Taking taylor expansion of 1 in K
15.428 * [backup-simplify]: Simplify 1 into 1
15.428 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
15.428 * [taylor]: Taking taylor expansion of 1/4 in K
15.429 * [backup-simplify]: Simplify 1/4 into 1/4
15.429 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
15.429 * [taylor]: Taking taylor expansion of (pow J 2) in K
15.429 * [taylor]: Taking taylor expansion of J in K
15.429 * [backup-simplify]: Simplify J into J
15.429 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
15.429 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
15.429 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
15.429 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
15.429 * [taylor]: Taking taylor expansion of -1/2 in K
15.429 * [backup-simplify]: Simplify -1/2 into -1/2
15.429 * [taylor]: Taking taylor expansion of K in K
15.429 * [backup-simplify]: Simplify 0 into 0
15.429 * [backup-simplify]: Simplify 1 into 1
15.429 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
15.429 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
15.429 * [taylor]: Taking taylor expansion of (pow U 2) in K
15.430 * [taylor]: Taking taylor expansion of U in K
15.430 * [backup-simplify]: Simplify U into U
15.430 * [backup-simplify]: Simplify (* J J) into (pow J 2)
15.430 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
15.430 * [backup-simplify]: Simplify (* U U) into (pow U 2)
15.430 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
15.430 * [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)))
15.430 * [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))))
15.431 * [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)))))
15.431 * [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))))))
15.431 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
15.431 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
15.432 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
15.432 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
15.432 * [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
15.433 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
15.433 * [backup-simplify]: Simplify (+ 0 0) into 0
15.434 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0
15.434 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
15.434 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
15.434 * [taylor]: Taking taylor expansion of 1 in U
15.434 * [backup-simplify]: Simplify 1 into 1
15.434 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
15.434 * [taylor]: Taking taylor expansion of 1/4 in U
15.434 * [backup-simplify]: Simplify 1/4 into 1/4
15.434 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
15.434 * [taylor]: Taking taylor expansion of (pow J 2) in U
15.434 * [taylor]: Taking taylor expansion of J in U
15.434 * [backup-simplify]: Simplify J into J
15.434 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
15.434 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
15.434 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
15.434 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
15.434 * [taylor]: Taking taylor expansion of -1/2 in U
15.434 * [backup-simplify]: Simplify -1/2 into -1/2
15.434 * [taylor]: Taking taylor expansion of K in U
15.434 * [backup-simplify]: Simplify K into K
15.434 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
15.435 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
15.435 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
15.435 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
15.435 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
15.435 * [backup-simplify]: Simplify (- 0) into 0
15.435 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
15.435 * [taylor]: Taking taylor expansion of (pow U 2) in U
15.435 * [taylor]: Taking taylor expansion of U in U
15.435 * [backup-simplify]: Simplify 0 into 0
15.435 * [backup-simplify]: Simplify 1 into 1
15.435 * [backup-simplify]: Simplify (* J J) into (pow J 2)
15.436 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
15.436 * [backup-simplify]: Simplify (* 1 1) into 1
15.436 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
15.436 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
15.436 * [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)))
15.437 * [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)))
15.437 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
15.437 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
15.438 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.438 * [backup-simplify]: Simplify (+ 0) into 0
15.439 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
15.439 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
15.440 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.440 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
15.441 * [backup-simplify]: Simplify (- 0) into 0
15.441 * [backup-simplify]: Simplify (+ 0 0) into 0
15.441 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
15.442 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
15.442 * [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
15.443 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
15.443 * [backup-simplify]: Simplify (+ 0 0) into 0
15.444 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
15.444 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
15.444 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
15.444 * [taylor]: Taking taylor expansion of 1 in U
15.444 * [backup-simplify]: Simplify 1 into 1
15.444 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
15.444 * [taylor]: Taking taylor expansion of 1/4 in U
15.444 * [backup-simplify]: Simplify 1/4 into 1/4
15.444 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
15.444 * [taylor]: Taking taylor expansion of (pow J 2) in U
15.444 * [taylor]: Taking taylor expansion of J in U
15.444 * [backup-simplify]: Simplify J into J
15.444 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
15.444 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
15.444 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
15.444 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
15.444 * [taylor]: Taking taylor expansion of -1/2 in U
15.444 * [backup-simplify]: Simplify -1/2 into -1/2
15.444 * [taylor]: Taking taylor expansion of K in U
15.444 * [backup-simplify]: Simplify K into K
15.444 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
15.444 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
15.444 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
15.444 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
15.445 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
15.445 * [backup-simplify]: Simplify (- 0) into 0
15.445 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
15.445 * [taylor]: Taking taylor expansion of (pow U 2) in U
15.445 * [taylor]: Taking taylor expansion of U in U
15.445 * [backup-simplify]: Simplify 0 into 0
15.445 * [backup-simplify]: Simplify 1 into 1
15.445 * [backup-simplify]: Simplify (* J J) into (pow J 2)
15.445 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
15.446 * [backup-simplify]: Simplify (* 1 1) into 1
15.446 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
15.446 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
15.446 * [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)))
15.447 * [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)))
15.447 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
15.447 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
15.448 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.448 * [backup-simplify]: Simplify (+ 0) into 0
15.449 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
15.449 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
15.450 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.450 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
15.451 * [backup-simplify]: Simplify (- 0) into 0
15.451 * [backup-simplify]: Simplify (+ 0 0) into 0
15.451 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
15.452 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
15.452 * [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
15.453 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
15.453 * [backup-simplify]: Simplify (+ 0 0) into 0
15.454 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
15.454 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in K
15.454 * [taylor]: Taking taylor expansion of 1/2 in K
15.454 * [backup-simplify]: Simplify 1/2 into 1/2
15.454 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in K
15.454 * [taylor]: Taking taylor expansion of J in K
15.454 * [backup-simplify]: Simplify J into J
15.454 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
15.454 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
15.454 * [taylor]: Taking taylor expansion of -1/2 in K
15.454 * [backup-simplify]: Simplify -1/2 into -1/2
15.454 * [taylor]: Taking taylor expansion of K in K
15.454 * [backup-simplify]: Simplify 0 into 0
15.454 * [backup-simplify]: Simplify 1 into 1
15.455 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
15.455 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
15.455 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K)))
15.455 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
15.455 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J
15.455 * [taylor]: Taking taylor expansion of 1/2 in J
15.455 * [backup-simplify]: Simplify 1/2 into 1/2
15.455 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J
15.455 * [taylor]: Taking taylor expansion of J in J
15.455 * [backup-simplify]: Simplify 0 into 0
15.455 * [backup-simplify]: Simplify 1 into 1
15.455 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
15.455 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
15.455 * [taylor]: Taking taylor expansion of -1/2 in J
15.455 * [backup-simplify]: Simplify -1/2 into -1/2
15.455 * [taylor]: Taking taylor expansion of K in J
15.455 * [backup-simplify]: Simplify K into K
15.455 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
15.455 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
15.455 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
15.455 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
15.456 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
15.456 * [backup-simplify]: Simplify (- 0) into 0
15.456 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
15.456 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K)))
15.456 * [taylor]: Taking taylor expansion of 0 in K
15.456 * [backup-simplify]: Simplify 0 into 0
15.456 * [taylor]: Taking taylor expansion of 0 in J
15.456 * [backup-simplify]: Simplify 0 into 0
15.456 * [backup-simplify]: Simplify 0 into 0
15.457 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
15.457 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0
15.457 * [taylor]: Taking taylor expansion of 0 in J
15.457 * [backup-simplify]: Simplify 0 into 0
15.457 * [backup-simplify]: Simplify 0 into 0
15.457 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K)))
15.458 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
15.458 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
15.459 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
15.460 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.461 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
15.461 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
15.462 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.462 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
15.463 * [backup-simplify]: Simplify (- 0) into 0
15.463 * [backup-simplify]: Simplify (+ 0 0) into 0
15.464 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
15.464 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
15.465 * [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
15.466 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0
15.466 * [backup-simplify]: Simplify (+ 1 0) into 1
15.467 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J)
15.467 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K
15.467 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
15.467 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
15.467 * [taylor]: Taking taylor expansion of -1/2 in K
15.467 * [backup-simplify]: Simplify -1/2 into -1/2
15.467 * [taylor]: Taking taylor expansion of K in K
15.468 * [backup-simplify]: Simplify 0 into 0
15.468 * [backup-simplify]: Simplify 1 into 1
15.468 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
15.468 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
15.468 * [taylor]: Taking taylor expansion of J in K
15.468 * [backup-simplify]: Simplify J into J
15.468 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
15.468 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
15.468 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
15.468 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
15.468 * [taylor]: Taking taylor expansion of -1/2 in J
15.468 * [backup-simplify]: Simplify -1/2 into -1/2
15.468 * [taylor]: Taking taylor expansion of K in J
15.468 * [backup-simplify]: Simplify K into K
15.468 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
15.469 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
15.469 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
15.469 * [taylor]: Taking taylor expansion of J in J
15.469 * [backup-simplify]: Simplify 0 into 0
15.469 * [backup-simplify]: Simplify 1 into 1
15.469 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
15.469 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
15.469 * [backup-simplify]: Simplify (- 0) into 0
15.469 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
15.469 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
15.470 * [backup-simplify]: Simplify (+ 0) into 0
15.470 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
15.471 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
15.471 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.472 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
15.472 * [backup-simplify]: Simplify (- 0) into 0
15.473 * [backup-simplify]: Simplify (+ 0 0) into 0
15.473 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0
15.474 * [backup-simplify]: Simplify 0 into 0
15.474 * [taylor]: Taking taylor expansion of 0 in J
15.474 * [backup-simplify]: Simplify 0 into 0
15.474 * [backup-simplify]: Simplify 0 into 0
15.474 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0
15.475 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0
15.475 * [taylor]: Taking taylor expansion of 0 in J
15.475 * [backup-simplify]: Simplify 0 into 0
15.475 * [backup-simplify]: Simplify 0 into 0
15.475 * [backup-simplify]: Simplify 0 into 0
15.475 * [backup-simplify]: Simplify 0 into 0
15.476 * [backup-simplify]: Simplify (+ 0) into 0
15.476 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
15.476 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
15.477 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.477 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
15.478 * [backup-simplify]: Simplify (- 0) into 0
15.478 * [backup-simplify]: Simplify (+ 0 0) into 0
15.479 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
15.479 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0
15.479 * [backup-simplify]: Simplify 0 into 0
15.479 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (- J)) (* 1 (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
15.480 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 2 2 1)
15.480 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))
15.480 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U K J) around 0
15.480 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J
15.480 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J
15.480 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
15.480 * [taylor]: Taking taylor expansion of 1/4 in J
15.480 * [backup-simplify]: Simplify 1/4 into 1/4
15.480 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
15.480 * [taylor]: Taking taylor expansion of (pow U 2) in J
15.480 * [taylor]: Taking taylor expansion of U in J
15.480 * [backup-simplify]: Simplify U into U
15.480 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
15.480 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
15.481 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
15.481 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
15.481 * [taylor]: Taking taylor expansion of 1/2 in J
15.481 * [backup-simplify]: Simplify 1/2 into 1/2
15.481 * [taylor]: Taking taylor expansion of K in J
15.481 * [backup-simplify]: Simplify K into K
15.481 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
15.481 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
15.481 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
15.481 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
15.481 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
15.481 * [backup-simplify]: Simplify (- 0) into 0
15.482 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
15.482 * [taylor]: Taking taylor expansion of (pow J 2) in J
15.482 * [taylor]: Taking taylor expansion of J in J
15.482 * [backup-simplify]: Simplify 0 into 0
15.482 * [backup-simplify]: Simplify 1 into 1
15.482 * [backup-simplify]: Simplify (* U U) into (pow U 2)
15.482 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
15.482 * [backup-simplify]: Simplify (* 1 1) into 1
15.482 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
15.483 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
15.483 * [taylor]: Taking taylor expansion of 1 in J
15.483 * [backup-simplify]: Simplify 1 into 1
15.483 * [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)))
15.483 * [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)))
15.483 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
15.483 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
15.484 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.485 * [backup-simplify]: Simplify (+ 0) into 0
15.485 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
15.486 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
15.486 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.487 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
15.487 * [backup-simplify]: Simplify (- 0) into 0
15.488 * [backup-simplify]: Simplify (+ 0 0) into 0
15.488 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
15.488 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
15.489 * [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
15.489 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0
15.490 * [backup-simplify]: Simplify (+ 0 0) into 0
15.490 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
15.490 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K
15.490 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K
15.490 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
15.490 * [taylor]: Taking taylor expansion of 1/4 in K
15.490 * [backup-simplify]: Simplify 1/4 into 1/4
15.490 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
15.490 * [taylor]: Taking taylor expansion of (pow U 2) in K
15.490 * [taylor]: Taking taylor expansion of U in K
15.490 * [backup-simplify]: Simplify U into U
15.490 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
15.490 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
15.490 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
15.490 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
15.490 * [taylor]: Taking taylor expansion of 1/2 in K
15.491 * [backup-simplify]: Simplify 1/2 into 1/2
15.491 * [taylor]: Taking taylor expansion of K in K
15.491 * [backup-simplify]: Simplify 0 into 0
15.491 * [backup-simplify]: Simplify 1 into 1
15.491 * [backup-simplify]: Simplify (* 1/2 0) into 0
15.492 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
15.492 * [taylor]: Taking taylor expansion of (pow J 2) in K
15.492 * [taylor]: Taking taylor expansion of J in K
15.492 * [backup-simplify]: Simplify J into J
15.492 * [backup-simplify]: Simplify (* U U) into (pow U 2)
15.492 * [backup-simplify]: Simplify (* 1 1) into 1
15.492 * [backup-simplify]: Simplify (* J J) into (pow J 2)
15.492 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
15.493 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
15.493 * [taylor]: Taking taylor expansion of 1 in K
15.493 * [backup-simplify]: Simplify 1 into 1
15.493 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2)))
15.493 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
15.493 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
15.493 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
15.494 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
15.494 * [backup-simplify]: Simplify (+ 0) into 0
15.495 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.495 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
15.495 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
15.496 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0
15.497 * [backup-simplify]: Simplify (+ 0 0) into 0
15.497 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
15.497 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
15.497 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
15.497 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
15.497 * [taylor]: Taking taylor expansion of 1/4 in U
15.497 * [backup-simplify]: Simplify 1/4 into 1/4
15.497 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
15.497 * [taylor]: Taking taylor expansion of (pow U 2) in U
15.497 * [taylor]: Taking taylor expansion of U in U
15.497 * [backup-simplify]: Simplify 0 into 0
15.497 * [backup-simplify]: Simplify 1 into 1
15.497 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
15.497 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
15.497 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
15.497 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
15.498 * [taylor]: Taking taylor expansion of 1/2 in U
15.498 * [backup-simplify]: Simplify 1/2 into 1/2
15.498 * [taylor]: Taking taylor expansion of K in U
15.498 * [backup-simplify]: Simplify K into K
15.498 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
15.498 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
15.498 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
15.498 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
15.498 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
15.498 * [backup-simplify]: Simplify (- 0) into 0
15.499 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
15.499 * [taylor]: Taking taylor expansion of (pow J 2) in U
15.499 * [taylor]: Taking taylor expansion of J in U
15.499 * [backup-simplify]: Simplify J into J
15.499 * [backup-simplify]: Simplify (* 1 1) into 1
15.499 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
15.499 * [backup-simplify]: Simplify (* J J) into (pow J 2)
15.499 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
15.500 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
15.500 * [taylor]: Taking taylor expansion of 1 in U
15.500 * [backup-simplify]: Simplify 1 into 1
15.500 * [backup-simplify]: Simplify (+ 0 1) into 1
15.500 * [backup-simplify]: Simplify (sqrt 1) into 1
15.501 * [backup-simplify]: Simplify (+ 0 0) into 0
15.502 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
15.502 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
15.502 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
15.502 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
15.502 * [taylor]: Taking taylor expansion of 1/4 in U
15.502 * [backup-simplify]: Simplify 1/4 into 1/4
15.502 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
15.502 * [taylor]: Taking taylor expansion of (pow U 2) in U
15.502 * [taylor]: Taking taylor expansion of U in U
15.502 * [backup-simplify]: Simplify 0 into 0
15.502 * [backup-simplify]: Simplify 1 into 1
15.502 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
15.502 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
15.502 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
15.502 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
15.502 * [taylor]: Taking taylor expansion of 1/2 in U
15.502 * [backup-simplify]: Simplify 1/2 into 1/2
15.502 * [taylor]: Taking taylor expansion of K in U
15.502 * [backup-simplify]: Simplify K into K
15.502 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
15.502 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
15.502 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
15.502 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
15.503 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
15.503 * [backup-simplify]: Simplify (- 0) into 0
15.503 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
15.503 * [taylor]: Taking taylor expansion of (pow J 2) in U
15.503 * [taylor]: Taking taylor expansion of J in U
15.503 * [backup-simplify]: Simplify J into J
15.503 * [backup-simplify]: Simplify (* 1 1) into 1
15.504 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
15.504 * [backup-simplify]: Simplify (* J J) into (pow J 2)
15.504 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
15.504 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
15.504 * [taylor]: Taking taylor expansion of 1 in U
15.504 * [backup-simplify]: Simplify 1 into 1
15.505 * [backup-simplify]: Simplify (+ 0 1) into 1
15.505 * [backup-simplify]: Simplify (sqrt 1) into 1
15.505 * [backup-simplify]: Simplify (+ 0 0) into 0
15.506 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
15.506 * [taylor]: Taking taylor expansion of 1 in K
15.506 * [backup-simplify]: Simplify 1 into 1
15.506 * [taylor]: Taking taylor expansion of 1 in J
15.506 * [backup-simplify]: Simplify 1 into 1
15.506 * [taylor]: Taking taylor expansion of 0 in K
15.506 * [backup-simplify]: Simplify 0 into 0
15.506 * [taylor]: Taking taylor expansion of 0 in J
15.506 * [backup-simplify]: Simplify 0 into 0
15.506 * [taylor]: Taking taylor expansion of 0 in J
15.506 * [backup-simplify]: Simplify 0 into 0
15.507 * [backup-simplify]: Simplify 1 into 1
15.507 * [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)))
15.507 * [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))))
15.508 * [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)))
15.509 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
15.509 * [taylor]: Taking taylor expansion of 1/8 in K
15.509 * [backup-simplify]: Simplify 1/8 into 1/8
15.509 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
15.509 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
15.509 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
15.509 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
15.509 * [taylor]: Taking taylor expansion of 1/2 in K
15.509 * [backup-simplify]: Simplify 1/2 into 1/2
15.509 * [taylor]: Taking taylor expansion of K in K
15.509 * [backup-simplify]: Simplify 0 into 0
15.509 * [backup-simplify]: Simplify 1 into 1
15.509 * [backup-simplify]: Simplify (* 1/2 0) into 0
15.510 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
15.510 * [taylor]: Taking taylor expansion of (pow J 2) in K
15.510 * [taylor]: Taking taylor expansion of J in K
15.510 * [backup-simplify]: Simplify J into J
15.511 * [backup-simplify]: Simplify (* 1 1) into 1
15.511 * [backup-simplify]: Simplify (* J J) into (pow J 2)
15.511 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
15.511 * [backup-simplify]: Simplify (/ 1/8 (pow J 2)) into (/ 1/8 (pow J 2))
15.511 * [taylor]: Taking taylor expansion of (/ 1/8 (pow J 2)) in J
15.511 * [taylor]: Taking taylor expansion of 1/8 in J
15.511 * [backup-simplify]: Simplify 1/8 into 1/8
15.511 * [taylor]: Taking taylor expansion of (pow J 2) in J
15.511 * [taylor]: Taking taylor expansion of J in J
15.511 * [backup-simplify]: Simplify 0 into 0
15.511 * [backup-simplify]: Simplify 1 into 1
15.511 * [backup-simplify]: Simplify (* 1 1) into 1
15.512 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8
15.512 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.513 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0
15.513 * [backup-simplify]: Simplify 0 into 0
15.514 * [taylor]: Taking taylor expansion of 0 in J
15.514 * [backup-simplify]: Simplify 0 into 0
15.514 * [taylor]: Taking taylor expansion of 0 in J
15.514 * [backup-simplify]: Simplify 0 into 0
15.514 * [backup-simplify]: Simplify 0 into 0
15.514 * [backup-simplify]: Simplify 0 into 0
15.514 * [backup-simplify]: Simplify 0 into 0
15.514 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.515 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
15.515 * [backup-simplify]: Simplify (+ 0) into 0
15.515 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
15.516 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
15.517 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.517 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
15.518 * [backup-simplify]: Simplify (- 0) into 0
15.518 * [backup-simplify]: Simplify (+ 0 0) into 0
15.518 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
15.518 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0
15.519 * [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
15.522 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0
15.523 * [backup-simplify]: Simplify (+ 0 0) into 0
15.524 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0
15.524 * [taylor]: Taking taylor expansion of 0 in K
15.524 * [backup-simplify]: Simplify 0 into 0
15.524 * [taylor]: Taking taylor expansion of 0 in J
15.524 * [backup-simplify]: Simplify 0 into 0
15.524 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
15.524 * [backup-simplify]: Simplify (+ 0) into 0
15.525 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.525 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
15.526 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/8 (pow J 2)) (/ 0 (pow J 2))))) into 0
15.526 * [taylor]: Taking taylor expansion of 0 in J
15.526 * [backup-simplify]: Simplify 0 into 0
15.526 * [taylor]: Taking taylor expansion of 0 in J
15.526 * [backup-simplify]: Simplify 0 into 0
15.526 * [taylor]: Taking taylor expansion of 0 in J
15.526 * [backup-simplify]: Simplify 0 into 0
15.527 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
15.528 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.528 * [backup-simplify]: Simplify 0 into 0
15.528 * [backup-simplify]: Simplify 0 into 0
15.528 * [backup-simplify]: Simplify 1 into 1
15.529 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* (cos (/ (/ 1 K) 2)) (* 2 (/ 1 J)))) (/ (/ 1 U) (* (cos (/ (/ 1 K) 2)) (* 2 (/ 1 J))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
15.529 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U K J) around 0
15.529 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
15.529 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
15.529 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
15.529 * [taylor]: Taking taylor expansion of 1/4 in J
15.529 * [backup-simplify]: Simplify 1/4 into 1/4
15.529 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
15.529 * [taylor]: Taking taylor expansion of (pow J 2) in J
15.529 * [taylor]: Taking taylor expansion of J in J
15.529 * [backup-simplify]: Simplify 0 into 0
15.529 * [backup-simplify]: Simplify 1 into 1
15.529 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
15.529 * [taylor]: Taking taylor expansion of (pow U 2) in J
15.529 * [taylor]: Taking taylor expansion of U in J
15.529 * [backup-simplify]: Simplify U into U
15.529 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
15.529 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
15.529 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
15.529 * [taylor]: Taking taylor expansion of 1/2 in J
15.529 * [backup-simplify]: Simplify 1/2 into 1/2
15.529 * [taylor]: Taking taylor expansion of K in J
15.529 * [backup-simplify]: Simplify K into K
15.530 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
15.530 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
15.530 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
15.530 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
15.530 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
15.530 * [backup-simplify]: Simplify (- 0) into 0
15.530 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
15.531 * [backup-simplify]: Simplify (* 1 1) into 1
15.531 * [backup-simplify]: Simplify (* U U) into (pow U 2)
15.531 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
15.531 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
15.532 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
15.532 * [taylor]: Taking taylor expansion of 1 in J
15.532 * [backup-simplify]: Simplify 1 into 1
15.532 * [backup-simplify]: Simplify (+ 0 1) into 1
15.533 * [backup-simplify]: Simplify (sqrt 1) into 1
15.533 * [backup-simplify]: Simplify (+ 0 0) into 0
15.534 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
15.534 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K
15.534 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K
15.534 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
15.534 * [taylor]: Taking taylor expansion of 1/4 in K
15.534 * [backup-simplify]: Simplify 1/4 into 1/4
15.534 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
15.534 * [taylor]: Taking taylor expansion of (pow J 2) in K
15.534 * [taylor]: Taking taylor expansion of J in K
15.534 * [backup-simplify]: Simplify J into J
15.534 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
15.534 * [taylor]: Taking taylor expansion of (pow U 2) in K
15.534 * [taylor]: Taking taylor expansion of U in K
15.534 * [backup-simplify]: Simplify U into U
15.534 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
15.534 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
15.534 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
15.535 * [taylor]: Taking taylor expansion of 1/2 in K
15.535 * [backup-simplify]: Simplify 1/2 into 1/2
15.535 * [taylor]: Taking taylor expansion of K in K
15.535 * [backup-simplify]: Simplify 0 into 0
15.535 * [backup-simplify]: Simplify 1 into 1
15.535 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
15.535 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
15.535 * [backup-simplify]: Simplify (* J J) into (pow J 2)
15.535 * [backup-simplify]: Simplify (* U U) into (pow U 2)
15.536 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
15.536 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
15.536 * [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)))
15.536 * [taylor]: Taking taylor expansion of 1 in K
15.536 * [backup-simplify]: Simplify 1 into 1
15.536 * [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))))
15.537 * [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)
15.537 * [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))
15.537 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
15.537 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
15.537 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
15.538 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
15.538 * [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
15.539 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
15.540 * [backup-simplify]: Simplify (+ 0 0) into 0
15.540 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
15.540 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
15.540 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
15.540 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
15.540 * [taylor]: Taking taylor expansion of 1/4 in U
15.540 * [backup-simplify]: Simplify 1/4 into 1/4
15.540 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
15.540 * [taylor]: Taking taylor expansion of (pow J 2) in U
15.540 * [taylor]: Taking taylor expansion of J in U
15.540 * [backup-simplify]: Simplify J into J
15.540 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
15.541 * [taylor]: Taking taylor expansion of (pow U 2) in U
15.541 * [taylor]: Taking taylor expansion of U in U
15.541 * [backup-simplify]: Simplify 0 into 0
15.541 * [backup-simplify]: Simplify 1 into 1
15.541 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
15.541 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
15.541 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
15.541 * [taylor]: Taking taylor expansion of 1/2 in U
15.541 * [backup-simplify]: Simplify 1/2 into 1/2
15.541 * [taylor]: Taking taylor expansion of K in U
15.541 * [backup-simplify]: Simplify K into K
15.541 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
15.541 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
15.541 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
15.541 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
15.541 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
15.542 * [backup-simplify]: Simplify (- 0) into 0
15.542 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
15.542 * [backup-simplify]: Simplify (* J J) into (pow J 2)
15.542 * [backup-simplify]: Simplify (* 1 1) into 1
15.543 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
15.543 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
15.543 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
15.543 * [taylor]: Taking taylor expansion of 1 in U
15.543 * [backup-simplify]: Simplify 1 into 1
15.543 * [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)))
15.543 * [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)))
15.544 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
15.544 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
15.544 * [backup-simplify]: Simplify (+ 0) into 0
15.545 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
15.545 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
15.546 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.546 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
15.547 * [backup-simplify]: Simplify (- 0) into 0
15.547 * [backup-simplify]: Simplify (+ 0 0) into 0
15.547 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
15.548 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.549 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
15.549 * [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
15.550 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
15.550 * [backup-simplify]: Simplify (+ 0 0) into 0
15.550 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
15.550 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
15.550 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
15.550 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
15.550 * [taylor]: Taking taylor expansion of 1/4 in U
15.550 * [backup-simplify]: Simplify 1/4 into 1/4
15.550 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
15.550 * [taylor]: Taking taylor expansion of (pow J 2) in U
15.550 * [taylor]: Taking taylor expansion of J in U
15.550 * [backup-simplify]: Simplify J into J
15.551 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
15.551 * [taylor]: Taking taylor expansion of (pow U 2) in U
15.551 * [taylor]: Taking taylor expansion of U in U
15.551 * [backup-simplify]: Simplify 0 into 0
15.551 * [backup-simplify]: Simplify 1 into 1
15.551 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
15.551 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
15.551 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
15.551 * [taylor]: Taking taylor expansion of 1/2 in U
15.551 * [backup-simplify]: Simplify 1/2 into 1/2
15.551 * [taylor]: Taking taylor expansion of K in U
15.551 * [backup-simplify]: Simplify K into K
15.551 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
15.551 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
15.551 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
15.551 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
15.551 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
15.552 * [backup-simplify]: Simplify (- 0) into 0
15.552 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
15.552 * [backup-simplify]: Simplify (* J J) into (pow J 2)
15.552 * [backup-simplify]: Simplify (* 1 1) into 1
15.552 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
15.552 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
15.553 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
15.553 * [taylor]: Taking taylor expansion of 1 in U
15.553 * [backup-simplify]: Simplify 1 into 1
15.553 * [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)))
15.553 * [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)))
15.553 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
15.553 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
15.554 * [backup-simplify]: Simplify (+ 0) into 0
15.554 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
15.555 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
15.555 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.556 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
15.556 * [backup-simplify]: Simplify (- 0) into 0
15.557 * [backup-simplify]: Simplify (+ 0 0) into 0
15.557 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
15.557 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.558 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
15.558 * [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
15.559 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
15.560 * [backup-simplify]: Simplify (+ 0 0) into 0
15.560 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
15.560 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in K
15.560 * [taylor]: Taking taylor expansion of 1/2 in K
15.560 * [backup-simplify]: Simplify 1/2 into 1/2
15.560 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in K
15.560 * [taylor]: Taking taylor expansion of J in K
15.560 * [backup-simplify]: Simplify J into J
15.560 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
15.560 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
15.560 * [taylor]: Taking taylor expansion of 1/2 in K
15.560 * [backup-simplify]: Simplify 1/2 into 1/2
15.560 * [taylor]: Taking taylor expansion of K in K
15.560 * [backup-simplify]: Simplify 0 into 0
15.560 * [backup-simplify]: Simplify 1 into 1
15.561 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
15.561 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
15.561 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K)))
15.561 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
15.561 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J
15.561 * [taylor]: Taking taylor expansion of 1/2 in J
15.561 * [backup-simplify]: Simplify 1/2 into 1/2
15.561 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J
15.561 * [taylor]: Taking taylor expansion of J in J
15.561 * [backup-simplify]: Simplify 0 into 0
15.561 * [backup-simplify]: Simplify 1 into 1
15.561 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
15.561 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
15.561 * [taylor]: Taking taylor expansion of 1/2 in J
15.561 * [backup-simplify]: Simplify 1/2 into 1/2
15.561 * [taylor]: Taking taylor expansion of K in J
15.561 * [backup-simplify]: Simplify K into K
15.562 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
15.562 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
15.562 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
15.562 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
15.562 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
15.562 * [backup-simplify]: Simplify (- 0) into 0
15.562 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
15.562 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K)))
15.563 * [taylor]: Taking taylor expansion of 0 in K
15.563 * [backup-simplify]: Simplify 0 into 0
15.563 * [taylor]: Taking taylor expansion of 0 in J
15.563 * [backup-simplify]: Simplify 0 into 0
15.563 * [backup-simplify]: Simplify 0 into 0
15.563 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
15.563 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0
15.563 * [taylor]: Taking taylor expansion of 0 in J
15.564 * [backup-simplify]: Simplify 0 into 0
15.564 * [backup-simplify]: Simplify 0 into 0
15.564 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K)))
15.564 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
15.564 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
15.565 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.566 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
15.566 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
15.567 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.568 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
15.568 * [backup-simplify]: Simplify (- 0) into 0
15.568 * [backup-simplify]: Simplify (+ 0 0) into 0
15.569 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
15.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
15.571 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
15.572 * [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
15.573 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0
15.574 * [backup-simplify]: Simplify (+ 0 1) into 1
15.575 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J)
15.575 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K
15.575 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
15.575 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
15.575 * [taylor]: Taking taylor expansion of 1/2 in K
15.575 * [backup-simplify]: Simplify 1/2 into 1/2
15.575 * [taylor]: Taking taylor expansion of K in K
15.575 * [backup-simplify]: Simplify 0 into 0
15.575 * [backup-simplify]: Simplify 1 into 1
15.575 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
15.576 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
15.576 * [taylor]: Taking taylor expansion of J in K
15.576 * [backup-simplify]: Simplify J into J
15.576 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
15.576 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
15.576 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
15.576 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
15.576 * [taylor]: Taking taylor expansion of 1/2 in J
15.576 * [backup-simplify]: Simplify 1/2 into 1/2
15.576 * [taylor]: Taking taylor expansion of K in J
15.576 * [backup-simplify]: Simplify K into K
15.576 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
15.576 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
15.576 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
15.576 * [taylor]: Taking taylor expansion of J in J
15.576 * [backup-simplify]: Simplify 0 into 0
15.576 * [backup-simplify]: Simplify 1 into 1
15.576 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
15.576 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
15.577 * [backup-simplify]: Simplify (- 0) into 0
15.577 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
15.577 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
15.577 * [backup-simplify]: Simplify (+ 0) into 0
15.578 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
15.578 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
15.579 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.579 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
15.580 * [backup-simplify]: Simplify (- 0) into 0
15.580 * [backup-simplify]: Simplify (+ 0 0) into 0
15.581 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0
15.581 * [backup-simplify]: Simplify 0 into 0
15.581 * [taylor]: Taking taylor expansion of 0 in J
15.581 * [backup-simplify]: Simplify 0 into 0
15.581 * [backup-simplify]: Simplify 0 into 0
15.581 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0
15.582 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0
15.582 * [taylor]: Taking taylor expansion of 0 in J
15.582 * [backup-simplify]: Simplify 0 into 0
15.583 * [backup-simplify]: Simplify 0 into 0
15.583 * [backup-simplify]: Simplify 0 into 0
15.583 * [backup-simplify]: Simplify 0 into 0
15.583 * [backup-simplify]: Simplify (+ 0) into 0
15.584 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
15.584 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
15.584 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.585 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
15.585 * [backup-simplify]: Simplify (- 0) into 0
15.586 * [backup-simplify]: Simplify (+ 0 0) into 0
15.586 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
15.586 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0
15.586 * [backup-simplify]: Simplify 0 into 0
15.587 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* (/ 1 J) (* 1 (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
15.587 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J))))) (/ (/ 1 (- U)) (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J)))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))
15.587 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U K J) around 0
15.587 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
15.587 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
15.587 * [taylor]: Taking taylor expansion of 1 in J
15.587 * [backup-simplify]: Simplify 1 into 1
15.587 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
15.587 * [taylor]: Taking taylor expansion of 1/4 in J
15.587 * [backup-simplify]: Simplify 1/4 into 1/4
15.587 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
15.588 * [taylor]: Taking taylor expansion of (pow J 2) in J
15.588 * [taylor]: Taking taylor expansion of J in J
15.588 * [backup-simplify]: Simplify 0 into 0
15.588 * [backup-simplify]: Simplify 1 into 1
15.588 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
15.588 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
15.588 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
15.588 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
15.588 * [taylor]: Taking taylor expansion of -1/2 in J
15.588 * [backup-simplify]: Simplify -1/2 into -1/2
15.588 * [taylor]: Taking taylor expansion of K in J
15.588 * [backup-simplify]: Simplify K into K
15.588 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
15.588 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
15.588 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
15.588 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
15.588 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
15.589 * [backup-simplify]: Simplify (- 0) into 0
15.589 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
15.589 * [taylor]: Taking taylor expansion of (pow U 2) in J
15.589 * [taylor]: Taking taylor expansion of U in J
15.589 * [backup-simplify]: Simplify U into U
15.589 * [backup-simplify]: Simplify (* 1 1) into 1
15.589 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
15.589 * [backup-simplify]: Simplify (* U U) into (pow U 2)
15.590 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
15.590 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
15.590 * [backup-simplify]: Simplify (+ 1 0) into 1
15.591 * [backup-simplify]: Simplify (sqrt 1) into 1
15.591 * [backup-simplify]: Simplify (+ 0 0) into 0
15.592 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
15.592 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K
15.592 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K
15.592 * [taylor]: Taking taylor expansion of 1 in K
15.592 * [backup-simplify]: Simplify 1 into 1
15.592 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
15.592 * [taylor]: Taking taylor expansion of 1/4 in K
15.592 * [backup-simplify]: Simplify 1/4 into 1/4
15.592 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
15.592 * [taylor]: Taking taylor expansion of (pow J 2) in K
15.592 * [taylor]: Taking taylor expansion of J in K
15.592 * [backup-simplify]: Simplify J into J
15.592 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
15.592 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
15.592 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
15.592 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
15.592 * [taylor]: Taking taylor expansion of -1/2 in K
15.592 * [backup-simplify]: Simplify -1/2 into -1/2
15.592 * [taylor]: Taking taylor expansion of K in K
15.592 * [backup-simplify]: Simplify 0 into 0
15.592 * [backup-simplify]: Simplify 1 into 1
15.593 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
15.593 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
15.593 * [taylor]: Taking taylor expansion of (pow U 2) in K
15.593 * [taylor]: Taking taylor expansion of U in K
15.593 * [backup-simplify]: Simplify U into U
15.593 * [backup-simplify]: Simplify (* J J) into (pow J 2)
15.593 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
15.593 * [backup-simplify]: Simplify (* U U) into (pow U 2)
15.593 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
15.594 * [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)))
15.594 * [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))))
15.594 * [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)))))
15.595 * [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))))))
15.595 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
15.595 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
15.595 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
15.595 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
15.596 * [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
15.597 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
15.597 * [backup-simplify]: Simplify (+ 0 0) into 0
15.598 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0
15.598 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
15.598 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
15.598 * [taylor]: Taking taylor expansion of 1 in U
15.598 * [backup-simplify]: Simplify 1 into 1
15.598 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
15.598 * [taylor]: Taking taylor expansion of 1/4 in U
15.598 * [backup-simplify]: Simplify 1/4 into 1/4
15.598 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
15.598 * [taylor]: Taking taylor expansion of (pow J 2) in U
15.598 * [taylor]: Taking taylor expansion of J in U
15.598 * [backup-simplify]: Simplify J into J
15.598 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
15.598 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
15.598 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
15.598 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
15.598 * [taylor]: Taking taylor expansion of -1/2 in U
15.598 * [backup-simplify]: Simplify -1/2 into -1/2
15.598 * [taylor]: Taking taylor expansion of K in U
15.598 * [backup-simplify]: Simplify K into K
15.598 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
15.598 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
15.599 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
15.599 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
15.599 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
15.599 * [backup-simplify]: Simplify (- 0) into 0
15.599 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
15.599 * [taylor]: Taking taylor expansion of (pow U 2) in U
15.599 * [taylor]: Taking taylor expansion of U in U
15.599 * [backup-simplify]: Simplify 0 into 0
15.599 * [backup-simplify]: Simplify 1 into 1
15.599 * [backup-simplify]: Simplify (* J J) into (pow J 2)
15.600 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
15.600 * [backup-simplify]: Simplify (* 1 1) into 1
15.600 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
15.600 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
15.601 * [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)))
15.601 * [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)))
15.601 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
15.601 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
15.602 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.602 * [backup-simplify]: Simplify (+ 0) into 0
15.603 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
15.603 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
15.604 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.604 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
15.605 * [backup-simplify]: Simplify (- 0) into 0
15.605 * [backup-simplify]: Simplify (+ 0 0) into 0
15.605 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
15.606 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
15.606 * [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
15.607 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
15.607 * [backup-simplify]: Simplify (+ 0 0) into 0
15.608 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
15.608 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
15.608 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
15.608 * [taylor]: Taking taylor expansion of 1 in U
15.608 * [backup-simplify]: Simplify 1 into 1
15.608 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
15.608 * [taylor]: Taking taylor expansion of 1/4 in U
15.608 * [backup-simplify]: Simplify 1/4 into 1/4
15.608 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
15.608 * [taylor]: Taking taylor expansion of (pow J 2) in U
15.608 * [taylor]: Taking taylor expansion of J in U
15.608 * [backup-simplify]: Simplify J into J
15.608 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
15.608 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
15.608 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
15.608 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
15.608 * [taylor]: Taking taylor expansion of -1/2 in U
15.608 * [backup-simplify]: Simplify -1/2 into -1/2
15.608 * [taylor]: Taking taylor expansion of K in U
15.608 * [backup-simplify]: Simplify K into K
15.608 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
15.608 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
15.608 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
15.609 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
15.609 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
15.609 * [backup-simplify]: Simplify (- 0) into 0
15.609 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
15.609 * [taylor]: Taking taylor expansion of (pow U 2) in U
15.609 * [taylor]: Taking taylor expansion of U in U
15.609 * [backup-simplify]: Simplify 0 into 0
15.609 * [backup-simplify]: Simplify 1 into 1
15.609 * [backup-simplify]: Simplify (* J J) into (pow J 2)
15.610 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
15.610 * [backup-simplify]: Simplify (* 1 1) into 1
15.610 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
15.610 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
15.610 * [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)))
15.611 * [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)))
15.611 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
15.611 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
15.612 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.612 * [backup-simplify]: Simplify (+ 0) into 0
15.613 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
15.613 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
15.614 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.615 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
15.615 * [backup-simplify]: Simplify (- 0) into 0
15.615 * [backup-simplify]: Simplify (+ 0 0) into 0
15.615 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
15.616 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
15.616 * [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
15.616 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
15.616 * [backup-simplify]: Simplify (+ 0 0) into 0
15.617 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
15.617 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in K
15.617 * [taylor]: Taking taylor expansion of 1/2 in K
15.617 * [backup-simplify]: Simplify 1/2 into 1/2
15.617 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in K
15.617 * [taylor]: Taking taylor expansion of J in K
15.617 * [backup-simplify]: Simplify J into J
15.617 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
15.617 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
15.617 * [taylor]: Taking taylor expansion of -1/2 in K
15.617 * [backup-simplify]: Simplify -1/2 into -1/2
15.617 * [taylor]: Taking taylor expansion of K in K
15.617 * [backup-simplify]: Simplify 0 into 0
15.617 * [backup-simplify]: Simplify 1 into 1
15.617 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
15.617 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
15.617 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K)))
15.617 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
15.617 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J
15.617 * [taylor]: Taking taylor expansion of 1/2 in J
15.617 * [backup-simplify]: Simplify 1/2 into 1/2
15.617 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J
15.617 * [taylor]: Taking taylor expansion of J in J
15.617 * [backup-simplify]: Simplify 0 into 0
15.617 * [backup-simplify]: Simplify 1 into 1
15.617 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
15.617 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
15.617 * [taylor]: Taking taylor expansion of -1/2 in J
15.617 * [backup-simplify]: Simplify -1/2 into -1/2
15.617 * [taylor]: Taking taylor expansion of K in J
15.618 * [backup-simplify]: Simplify K into K
15.618 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
15.618 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
15.618 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
15.618 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
15.618 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
15.618 * [backup-simplify]: Simplify (- 0) into 0
15.618 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
15.618 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K)))
15.618 * [taylor]: Taking taylor expansion of 0 in K
15.618 * [backup-simplify]: Simplify 0 into 0
15.618 * [taylor]: Taking taylor expansion of 0 in J
15.618 * [backup-simplify]: Simplify 0 into 0
15.618 * [backup-simplify]: Simplify 0 into 0
15.618 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
15.619 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0
15.619 * [taylor]: Taking taylor expansion of 0 in J
15.619 * [backup-simplify]: Simplify 0 into 0
15.619 * [backup-simplify]: Simplify 0 into 0
15.619 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K)))
15.619 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
15.619 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
15.620 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
15.620 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.621 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
15.621 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
15.621 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.622 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
15.622 * [backup-simplify]: Simplify (- 0) into 0
15.622 * [backup-simplify]: Simplify (+ 0 0) into 0
15.622 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
15.623 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
15.623 * [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
15.624 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0
15.624 * [backup-simplify]: Simplify (+ 1 0) into 1
15.625 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J)
15.625 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K
15.625 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
15.625 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
15.625 * [taylor]: Taking taylor expansion of -1/2 in K
15.625 * [backup-simplify]: Simplify -1/2 into -1/2
15.625 * [taylor]: Taking taylor expansion of K in K
15.625 * [backup-simplify]: Simplify 0 into 0
15.625 * [backup-simplify]: Simplify 1 into 1
15.625 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
15.625 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
15.625 * [taylor]: Taking taylor expansion of J in K
15.625 * [backup-simplify]: Simplify J into J
15.625 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
15.625 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
15.625 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
15.625 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
15.625 * [taylor]: Taking taylor expansion of -1/2 in J
15.625 * [backup-simplify]: Simplify -1/2 into -1/2
15.625 * [taylor]: Taking taylor expansion of K in J
15.625 * [backup-simplify]: Simplify K into K
15.625 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
15.625 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
15.625 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
15.625 * [taylor]: Taking taylor expansion of J in J
15.626 * [backup-simplify]: Simplify 0 into 0
15.626 * [backup-simplify]: Simplify 1 into 1
15.626 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
15.626 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
15.626 * [backup-simplify]: Simplify (- 0) into 0
15.626 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
15.626 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
15.626 * [backup-simplify]: Simplify (+ 0) into 0
15.627 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
15.627 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
15.627 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.627 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
15.628 * [backup-simplify]: Simplify (- 0) into 0
15.628 * [backup-simplify]: Simplify (+ 0 0) into 0
15.628 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0
15.629 * [backup-simplify]: Simplify 0 into 0
15.629 * [taylor]: Taking taylor expansion of 0 in J
15.629 * [backup-simplify]: Simplify 0 into 0
15.629 * [backup-simplify]: Simplify 0 into 0
15.629 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0
15.629 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0
15.629 * [taylor]: Taking taylor expansion of 0 in J
15.629 * [backup-simplify]: Simplify 0 into 0
15.629 * [backup-simplify]: Simplify 0 into 0
15.629 * [backup-simplify]: Simplify 0 into 0
15.629 * [backup-simplify]: Simplify 0 into 0
15.630 * [backup-simplify]: Simplify (+ 0) into 0
15.630 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
15.630 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
15.631 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.631 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
15.631 * [backup-simplify]: Simplify (- 0) into 0
15.632 * [backup-simplify]: Simplify (+ 0 0) into 0
15.632 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
15.632 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0
15.632 * [backup-simplify]: Simplify 0 into 0
15.632 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (- J)) (* 1 (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
15.632 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 2 1 2 1)
15.633 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))
15.633 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U K J) around 0
15.633 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J
15.633 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J
15.633 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
15.633 * [taylor]: Taking taylor expansion of 1/4 in J
15.633 * [backup-simplify]: Simplify 1/4 into 1/4
15.633 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
15.633 * [taylor]: Taking taylor expansion of (pow U 2) in J
15.633 * [taylor]: Taking taylor expansion of U in J
15.633 * [backup-simplify]: Simplify U into U
15.633 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
15.633 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
15.633 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
15.633 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
15.633 * [taylor]: Taking taylor expansion of 1/2 in J
15.633 * [backup-simplify]: Simplify 1/2 into 1/2
15.633 * [taylor]: Taking taylor expansion of K in J
15.633 * [backup-simplify]: Simplify K into K
15.633 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
15.633 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
15.633 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
15.633 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
15.633 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
15.633 * [backup-simplify]: Simplify (- 0) into 0
15.633 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
15.633 * [taylor]: Taking taylor expansion of (pow J 2) in J
15.633 * [taylor]: Taking taylor expansion of J in J
15.634 * [backup-simplify]: Simplify 0 into 0
15.634 * [backup-simplify]: Simplify 1 into 1
15.634 * [backup-simplify]: Simplify (* U U) into (pow U 2)
15.634 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
15.634 * [backup-simplify]: Simplify (* 1 1) into 1
15.634 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
15.634 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
15.634 * [taylor]: Taking taylor expansion of 1 in J
15.634 * [backup-simplify]: Simplify 1 into 1
15.634 * [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)))
15.634 * [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)))
15.635 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
15.635 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
15.635 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.635 * [backup-simplify]: Simplify (+ 0) into 0
15.636 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
15.636 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
15.636 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.637 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
15.637 * [backup-simplify]: Simplify (- 0) into 0
15.637 * [backup-simplify]: Simplify (+ 0 0) into 0
15.637 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
15.638 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
15.638 * [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
15.638 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0
15.639 * [backup-simplify]: Simplify (+ 0 0) into 0
15.639 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
15.639 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K
15.639 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K
15.639 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
15.639 * [taylor]: Taking taylor expansion of 1/4 in K
15.639 * [backup-simplify]: Simplify 1/4 into 1/4
15.639 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
15.639 * [taylor]: Taking taylor expansion of (pow U 2) in K
15.639 * [taylor]: Taking taylor expansion of U in K
15.639 * [backup-simplify]: Simplify U into U
15.639 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
15.639 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
15.639 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
15.639 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
15.639 * [taylor]: Taking taylor expansion of 1/2 in K
15.639 * [backup-simplify]: Simplify 1/2 into 1/2
15.639 * [taylor]: Taking taylor expansion of K in K
15.639 * [backup-simplify]: Simplify 0 into 0
15.639 * [backup-simplify]: Simplify 1 into 1
15.639 * [backup-simplify]: Simplify (* 1/2 0) into 0
15.640 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
15.640 * [taylor]: Taking taylor expansion of (pow J 2) in K
15.640 * [taylor]: Taking taylor expansion of J in K
15.640 * [backup-simplify]: Simplify J into J
15.640 * [backup-simplify]: Simplify (* U U) into (pow U 2)
15.640 * [backup-simplify]: Simplify (* 1 1) into 1
15.640 * [backup-simplify]: Simplify (* J J) into (pow J 2)
15.640 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
15.640 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
15.640 * [taylor]: Taking taylor expansion of 1 in K
15.640 * [backup-simplify]: Simplify 1 into 1
15.640 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2)))
15.641 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
15.641 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
15.641 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
15.641 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
15.641 * [backup-simplify]: Simplify (+ 0) into 0
15.641 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.642 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
15.642 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
15.642 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0
15.643 * [backup-simplify]: Simplify (+ 0 0) into 0
15.643 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
15.643 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
15.643 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
15.643 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
15.643 * [taylor]: Taking taylor expansion of 1/4 in U
15.643 * [backup-simplify]: Simplify 1/4 into 1/4
15.643 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
15.643 * [taylor]: Taking taylor expansion of (pow U 2) in U
15.643 * [taylor]: Taking taylor expansion of U in U
15.643 * [backup-simplify]: Simplify 0 into 0
15.643 * [backup-simplify]: Simplify 1 into 1
15.643 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
15.643 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
15.643 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
15.643 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
15.643 * [taylor]: Taking taylor expansion of 1/2 in U
15.643 * [backup-simplify]: Simplify 1/2 into 1/2
15.643 * [taylor]: Taking taylor expansion of K in U
15.643 * [backup-simplify]: Simplify K into K
15.643 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
15.643 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
15.643 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
15.643 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
15.644 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
15.644 * [backup-simplify]: Simplify (- 0) into 0
15.644 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
15.644 * [taylor]: Taking taylor expansion of (pow J 2) in U
15.644 * [taylor]: Taking taylor expansion of J in U
15.644 * [backup-simplify]: Simplify J into J
15.644 * [backup-simplify]: Simplify (* 1 1) into 1
15.645 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
15.645 * [backup-simplify]: Simplify (* J J) into (pow J 2)
15.645 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
15.645 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
15.645 * [taylor]: Taking taylor expansion of 1 in U
15.645 * [backup-simplify]: Simplify 1 into 1
15.646 * [backup-simplify]: Simplify (+ 0 1) into 1
15.646 * [backup-simplify]: Simplify (sqrt 1) into 1
15.646 * [backup-simplify]: Simplify (+ 0 0) into 0
15.647 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
15.647 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
15.647 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
15.647 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
15.647 * [taylor]: Taking taylor expansion of 1/4 in U
15.647 * [backup-simplify]: Simplify 1/4 into 1/4
15.647 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
15.647 * [taylor]: Taking taylor expansion of (pow U 2) in U
15.647 * [taylor]: Taking taylor expansion of U in U
15.647 * [backup-simplify]: Simplify 0 into 0
15.647 * [backup-simplify]: Simplify 1 into 1
15.647 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
15.647 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
15.647 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
15.647 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
15.647 * [taylor]: Taking taylor expansion of 1/2 in U
15.647 * [backup-simplify]: Simplify 1/2 into 1/2
15.647 * [taylor]: Taking taylor expansion of K in U
15.647 * [backup-simplify]: Simplify K into K
15.648 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
15.648 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
15.648 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
15.648 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
15.648 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
15.648 * [backup-simplify]: Simplify (- 0) into 0
15.648 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
15.648 * [taylor]: Taking taylor expansion of (pow J 2) in U
15.648 * [taylor]: Taking taylor expansion of J in U
15.648 * [backup-simplify]: Simplify J into J
15.649 * [backup-simplify]: Simplify (* 1 1) into 1
15.649 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
15.649 * [backup-simplify]: Simplify (* J J) into (pow J 2)
15.649 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
15.649 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
15.649 * [taylor]: Taking taylor expansion of 1 in U
15.649 * [backup-simplify]: Simplify 1 into 1
15.650 * [backup-simplify]: Simplify (+ 0 1) into 1
15.650 * [backup-simplify]: Simplify (sqrt 1) into 1
15.650 * [backup-simplify]: Simplify (+ 0 0) into 0
15.651 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
15.651 * [taylor]: Taking taylor expansion of 1 in K
15.651 * [backup-simplify]: Simplify 1 into 1
15.651 * [taylor]: Taking taylor expansion of 1 in J
15.651 * [backup-simplify]: Simplify 1 into 1
15.651 * [taylor]: Taking taylor expansion of 0 in K
15.651 * [backup-simplify]: Simplify 0 into 0
15.651 * [taylor]: Taking taylor expansion of 0 in J
15.651 * [backup-simplify]: Simplify 0 into 0
15.651 * [taylor]: Taking taylor expansion of 0 in J
15.651 * [backup-simplify]: Simplify 0 into 0
15.651 * [backup-simplify]: Simplify 1 into 1
15.652 * [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)))
15.652 * [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))))
15.653 * [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)))
15.653 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
15.653 * [taylor]: Taking taylor expansion of 1/8 in K
15.653 * [backup-simplify]: Simplify 1/8 into 1/8
15.653 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
15.653 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
15.653 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
15.654 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
15.654 * [taylor]: Taking taylor expansion of 1/2 in K
15.654 * [backup-simplify]: Simplify 1/2 into 1/2
15.654 * [taylor]: Taking taylor expansion of K in K
15.654 * [backup-simplify]: Simplify 0 into 0
15.654 * [backup-simplify]: Simplify 1 into 1
15.654 * [backup-simplify]: Simplify (* 1/2 0) into 0
15.655 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
15.655 * [taylor]: Taking taylor expansion of (pow J 2) in K
15.655 * [taylor]: Taking taylor expansion of J in K
15.655 * [backup-simplify]: Simplify J into J
15.655 * [backup-simplify]: Simplify (* 1 1) into 1
15.656 * [backup-simplify]: Simplify (* J J) into (pow J 2)
15.656 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
15.656 * [backup-simplify]: Simplify (/ 1/8 (pow J 2)) into (/ 1/8 (pow J 2))
15.656 * [taylor]: Taking taylor expansion of (/ 1/8 (pow J 2)) in J
15.656 * [taylor]: Taking taylor expansion of 1/8 in J
15.656 * [backup-simplify]: Simplify 1/8 into 1/8
15.656 * [taylor]: Taking taylor expansion of (pow J 2) in J
15.656 * [taylor]: Taking taylor expansion of J in J
15.656 * [backup-simplify]: Simplify 0 into 0
15.656 * [backup-simplify]: Simplify 1 into 1
15.656 * [backup-simplify]: Simplify (* 1 1) into 1
15.657 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8
15.658 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.658 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0
15.658 * [backup-simplify]: Simplify 0 into 0
15.659 * [taylor]: Taking taylor expansion of 0 in J
15.659 * [backup-simplify]: Simplify 0 into 0
15.659 * [taylor]: Taking taylor expansion of 0 in J
15.659 * [backup-simplify]: Simplify 0 into 0
15.659 * [backup-simplify]: Simplify 0 into 0
15.659 * [backup-simplify]: Simplify 0 into 0
15.659 * [backup-simplify]: Simplify 0 into 0
15.659 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.659 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
15.660 * [backup-simplify]: Simplify (+ 0) into 0
15.660 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
15.661 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
15.663 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.664 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
15.664 * [backup-simplify]: Simplify (- 0) into 0
15.665 * [backup-simplify]: Simplify (+ 0 0) into 0
15.665 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
15.665 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0
15.666 * [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
15.666 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0
15.667 * [backup-simplify]: Simplify (+ 0 0) into 0
15.667 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0
15.667 * [taylor]: Taking taylor expansion of 0 in K
15.667 * [backup-simplify]: Simplify 0 into 0
15.668 * [taylor]: Taking taylor expansion of 0 in J
15.668 * [backup-simplify]: Simplify 0 into 0
15.668 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
15.668 * [backup-simplify]: Simplify (+ 0) into 0
15.669 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.669 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
15.669 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/8 (pow J 2)) (/ 0 (pow J 2))))) into 0
15.670 * [taylor]: Taking taylor expansion of 0 in J
15.670 * [backup-simplify]: Simplify 0 into 0
15.670 * [taylor]: Taking taylor expansion of 0 in J
15.670 * [backup-simplify]: Simplify 0 into 0
15.670 * [taylor]: Taking taylor expansion of 0 in J
15.670 * [backup-simplify]: Simplify 0 into 0
15.671 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
15.672 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.672 * [backup-simplify]: Simplify 0 into 0
15.672 * [backup-simplify]: Simplify 0 into 0
15.672 * [backup-simplify]: Simplify 1 into 1
15.673 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* (cos (/ (/ 1 K) 2)) (* 2 (/ 1 J)))) (/ (/ 1 U) (* (cos (/ (/ 1 K) 2)) (* 2 (/ 1 J))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
15.673 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U K J) around 0
15.673 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
15.673 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
15.673 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
15.673 * [taylor]: Taking taylor expansion of 1/4 in J
15.673 * [backup-simplify]: Simplify 1/4 into 1/4
15.673 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
15.673 * [taylor]: Taking taylor expansion of (pow J 2) in J
15.673 * [taylor]: Taking taylor expansion of J in J
15.673 * [backup-simplify]: Simplify 0 into 0
15.673 * [backup-simplify]: Simplify 1 into 1
15.673 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
15.673 * [taylor]: Taking taylor expansion of (pow U 2) in J
15.673 * [taylor]: Taking taylor expansion of U in J
15.673 * [backup-simplify]: Simplify U into U
15.673 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
15.673 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
15.673 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
15.673 * [taylor]: Taking taylor expansion of 1/2 in J
15.673 * [backup-simplify]: Simplify 1/2 into 1/2
15.673 * [taylor]: Taking taylor expansion of K in J
15.673 * [backup-simplify]: Simplify K into K
15.673 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
15.673 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
15.673 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
15.673 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
15.674 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
15.674 * [backup-simplify]: Simplify (- 0) into 0
15.674 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
15.675 * [backup-simplify]: Simplify (* 1 1) into 1
15.675 * [backup-simplify]: Simplify (* U U) into (pow U 2)
15.675 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
15.675 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
15.675 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
15.675 * [taylor]: Taking taylor expansion of 1 in J
15.675 * [backup-simplify]: Simplify 1 into 1
15.676 * [backup-simplify]: Simplify (+ 0 1) into 1
15.676 * [backup-simplify]: Simplify (sqrt 1) into 1
15.676 * [backup-simplify]: Simplify (+ 0 0) into 0
15.677 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
15.677 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K
15.677 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K
15.677 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
15.677 * [taylor]: Taking taylor expansion of 1/4 in K
15.677 * [backup-simplify]: Simplify 1/4 into 1/4
15.677 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
15.677 * [taylor]: Taking taylor expansion of (pow J 2) in K
15.677 * [taylor]: Taking taylor expansion of J in K
15.677 * [backup-simplify]: Simplify J into J
15.677 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
15.678 * [taylor]: Taking taylor expansion of (pow U 2) in K
15.678 * [taylor]: Taking taylor expansion of U in K
15.678 * [backup-simplify]: Simplify U into U
15.678 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
15.678 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
15.678 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
15.678 * [taylor]: Taking taylor expansion of 1/2 in K
15.678 * [backup-simplify]: Simplify 1/2 into 1/2
15.678 * [taylor]: Taking taylor expansion of K in K
15.678 * [backup-simplify]: Simplify 0 into 0
15.678 * [backup-simplify]: Simplify 1 into 1
15.678 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
15.678 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
15.678 * [backup-simplify]: Simplify (* J J) into (pow J 2)
15.678 * [backup-simplify]: Simplify (* U U) into (pow U 2)
15.679 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
15.679 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
15.679 * [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)))
15.679 * [taylor]: Taking taylor expansion of 1 in K
15.679 * [backup-simplify]: Simplify 1 into 1
15.679 * [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))))
15.680 * [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)
15.680 * [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))
15.680 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
15.680 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
15.680 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
15.681 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
15.681 * [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
15.682 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
15.682 * [backup-simplify]: Simplify (+ 0 0) into 0
15.683 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
15.683 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
15.683 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
15.683 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
15.683 * [taylor]: Taking taylor expansion of 1/4 in U
15.683 * [backup-simplify]: Simplify 1/4 into 1/4
15.683 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
15.683 * [taylor]: Taking taylor expansion of (pow J 2) in U
15.683 * [taylor]: Taking taylor expansion of J in U
15.683 * [backup-simplify]: Simplify J into J
15.683 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
15.683 * [taylor]: Taking taylor expansion of (pow U 2) in U
15.683 * [taylor]: Taking taylor expansion of U in U
15.683 * [backup-simplify]: Simplify 0 into 0
15.683 * [backup-simplify]: Simplify 1 into 1
15.683 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
15.683 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
15.683 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
15.683 * [taylor]: Taking taylor expansion of 1/2 in U
15.683 * [backup-simplify]: Simplify 1/2 into 1/2
15.683 * [taylor]: Taking taylor expansion of K in U
15.684 * [backup-simplify]: Simplify K into K
15.684 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
15.684 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
15.684 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
15.684 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
15.684 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
15.684 * [backup-simplify]: Simplify (- 0) into 0
15.684 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
15.684 * [backup-simplify]: Simplify (* J J) into (pow J 2)
15.685 * [backup-simplify]: Simplify (* 1 1) into 1
15.685 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
15.685 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
15.685 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
15.685 * [taylor]: Taking taylor expansion of 1 in U
15.685 * [backup-simplify]: Simplify 1 into 1
15.686 * [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)))
15.686 * [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)))
15.686 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
15.686 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
15.687 * [backup-simplify]: Simplify (+ 0) into 0
15.687 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
15.687 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
15.688 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.689 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
15.689 * [backup-simplify]: Simplify (- 0) into 0
15.689 * [backup-simplify]: Simplify (+ 0 0) into 0
15.690 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
15.690 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.691 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
15.691 * [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
15.692 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
15.692 * [backup-simplify]: Simplify (+ 0 0) into 0
15.693 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
15.693 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
15.693 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
15.693 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
15.693 * [taylor]: Taking taylor expansion of 1/4 in U
15.693 * [backup-simplify]: Simplify 1/4 into 1/4
15.693 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
15.693 * [taylor]: Taking taylor expansion of (pow J 2) in U
15.693 * [taylor]: Taking taylor expansion of J in U
15.693 * [backup-simplify]: Simplify J into J
15.693 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
15.693 * [taylor]: Taking taylor expansion of (pow U 2) in U
15.693 * [taylor]: Taking taylor expansion of U in U
15.693 * [backup-simplify]: Simplify 0 into 0
15.693 * [backup-simplify]: Simplify 1 into 1
15.693 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
15.693 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
15.693 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
15.693 * [taylor]: Taking taylor expansion of 1/2 in U
15.693 * [backup-simplify]: Simplify 1/2 into 1/2
15.693 * [taylor]: Taking taylor expansion of K in U
15.693 * [backup-simplify]: Simplify K into K
15.693 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
15.693 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
15.693 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
15.694 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
15.694 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
15.694 * [backup-simplify]: Simplify (- 0) into 0
15.694 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
15.694 * [backup-simplify]: Simplify (* J J) into (pow J 2)
15.695 * [backup-simplify]: Simplify (* 1 1) into 1
15.695 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
15.695 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
15.695 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
15.695 * [taylor]: Taking taylor expansion of 1 in U
15.695 * [backup-simplify]: Simplify 1 into 1
15.695 * [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)))
15.696 * [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)))
15.696 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
15.696 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
15.696 * [backup-simplify]: Simplify (+ 0) into 0
15.697 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
15.697 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
15.698 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.698 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
15.699 * [backup-simplify]: Simplify (- 0) into 0
15.699 * [backup-simplify]: Simplify (+ 0 0) into 0
15.699 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
15.700 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.700 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
15.701 * [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
15.702 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
15.702 * [backup-simplify]: Simplify (+ 0 0) into 0
15.702 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
15.702 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in K
15.702 * [taylor]: Taking taylor expansion of 1/2 in K
15.702 * [backup-simplify]: Simplify 1/2 into 1/2
15.702 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in K
15.702 * [taylor]: Taking taylor expansion of J in K
15.703 * [backup-simplify]: Simplify J into J
15.703 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
15.703 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
15.703 * [taylor]: Taking taylor expansion of 1/2 in K
15.703 * [backup-simplify]: Simplify 1/2 into 1/2
15.703 * [taylor]: Taking taylor expansion of K in K
15.703 * [backup-simplify]: Simplify 0 into 0
15.703 * [backup-simplify]: Simplify 1 into 1
15.703 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
15.703 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
15.703 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K)))
15.704 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
15.704 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J
15.704 * [taylor]: Taking taylor expansion of 1/2 in J
15.704 * [backup-simplify]: Simplify 1/2 into 1/2
15.704 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J
15.704 * [taylor]: Taking taylor expansion of J in J
15.704 * [backup-simplify]: Simplify 0 into 0
15.704 * [backup-simplify]: Simplify 1 into 1
15.704 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
15.704 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
15.704 * [taylor]: Taking taylor expansion of 1/2 in J
15.704 * [backup-simplify]: Simplify 1/2 into 1/2
15.704 * [taylor]: Taking taylor expansion of K in J
15.704 * [backup-simplify]: Simplify K into K
15.704 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
15.704 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
15.704 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
15.704 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
15.704 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
15.705 * [backup-simplify]: Simplify (- 0) into 0
15.705 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
15.705 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K)))
15.705 * [taylor]: Taking taylor expansion of 0 in K
15.705 * [backup-simplify]: Simplify 0 into 0
15.705 * [taylor]: Taking taylor expansion of 0 in J
15.705 * [backup-simplify]: Simplify 0 into 0
15.705 * [backup-simplify]: Simplify 0 into 0
15.705 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
15.706 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0
15.706 * [taylor]: Taking taylor expansion of 0 in J
15.706 * [backup-simplify]: Simplify 0 into 0
15.706 * [backup-simplify]: Simplify 0 into 0
15.706 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K)))
15.706 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
15.707 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
15.708 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.709 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
15.709 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
15.710 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.711 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
15.711 * [backup-simplify]: Simplify (- 0) into 0
15.711 * [backup-simplify]: Simplify (+ 0 0) into 0
15.712 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
15.713 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
15.714 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
15.714 * [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
15.715 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0
15.716 * [backup-simplify]: Simplify (+ 0 1) into 1
15.717 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J)
15.717 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K
15.717 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
15.717 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
15.717 * [taylor]: Taking taylor expansion of 1/2 in K
15.717 * [backup-simplify]: Simplify 1/2 into 1/2
15.717 * [taylor]: Taking taylor expansion of K in K
15.717 * [backup-simplify]: Simplify 0 into 0
15.717 * [backup-simplify]: Simplify 1 into 1
15.717 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
15.717 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
15.717 * [taylor]: Taking taylor expansion of J in K
15.717 * [backup-simplify]: Simplify J into J
15.718 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
15.718 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
15.718 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
15.718 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
15.718 * [taylor]: Taking taylor expansion of 1/2 in J
15.718 * [backup-simplify]: Simplify 1/2 into 1/2
15.718 * [taylor]: Taking taylor expansion of K in J
15.718 * [backup-simplify]: Simplify K into K
15.718 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
15.718 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
15.718 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
15.718 * [taylor]: Taking taylor expansion of J in J
15.718 * [backup-simplify]: Simplify 0 into 0
15.718 * [backup-simplify]: Simplify 1 into 1
15.718 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
15.718 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
15.719 * [backup-simplify]: Simplify (- 0) into 0
15.719 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
15.719 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
15.719 * [backup-simplify]: Simplify (+ 0) into 0
15.720 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
15.720 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
15.721 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.721 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
15.722 * [backup-simplify]: Simplify (- 0) into 0
15.722 * [backup-simplify]: Simplify (+ 0 0) into 0
15.723 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0
15.723 * [backup-simplify]: Simplify 0 into 0
15.723 * [taylor]: Taking taylor expansion of 0 in J
15.723 * [backup-simplify]: Simplify 0 into 0
15.723 * [backup-simplify]: Simplify 0 into 0
15.723 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0
15.724 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0
15.724 * [taylor]: Taking taylor expansion of 0 in J
15.724 * [backup-simplify]: Simplify 0 into 0
15.725 * [backup-simplify]: Simplify 0 into 0
15.725 * [backup-simplify]: Simplify 0 into 0
15.725 * [backup-simplify]: Simplify 0 into 0
15.725 * [backup-simplify]: Simplify (+ 0) into 0
15.726 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
15.726 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
15.727 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.727 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
15.727 * [backup-simplify]: Simplify (- 0) into 0
15.728 * [backup-simplify]: Simplify (+ 0 0) into 0
15.728 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
15.728 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0
15.729 * [backup-simplify]: Simplify 0 into 0
15.729 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* (/ 1 J) (* 1 (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
15.729 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J))))) (/ (/ 1 (- U)) (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J)))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))
15.729 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U K J) around 0
15.729 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
15.730 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
15.730 * [taylor]: Taking taylor expansion of 1 in J
15.730 * [backup-simplify]: Simplify 1 into 1
15.730 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
15.730 * [taylor]: Taking taylor expansion of 1/4 in J
15.730 * [backup-simplify]: Simplify 1/4 into 1/4
15.730 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
15.730 * [taylor]: Taking taylor expansion of (pow J 2) in J
15.730 * [taylor]: Taking taylor expansion of J in J
15.730 * [backup-simplify]: Simplify 0 into 0
15.730 * [backup-simplify]: Simplify 1 into 1
15.730 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
15.730 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
15.730 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
15.730 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
15.730 * [taylor]: Taking taylor expansion of -1/2 in J
15.730 * [backup-simplify]: Simplify -1/2 into -1/2
15.730 * [taylor]: Taking taylor expansion of K in J
15.730 * [backup-simplify]: Simplify K into K
15.730 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
15.730 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
15.730 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
15.730 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
15.730 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
15.731 * [backup-simplify]: Simplify (- 0) into 0
15.731 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
15.731 * [taylor]: Taking taylor expansion of (pow U 2) in J
15.731 * [taylor]: Taking taylor expansion of U in J
15.731 * [backup-simplify]: Simplify U into U
15.731 * [backup-simplify]: Simplify (* 1 1) into 1
15.732 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
15.732 * [backup-simplify]: Simplify (* U U) into (pow U 2)
15.732 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
15.732 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
15.733 * [backup-simplify]: Simplify (+ 1 0) into 1
15.733 * [backup-simplify]: Simplify (sqrt 1) into 1
15.733 * [backup-simplify]: Simplify (+ 0 0) into 0
15.734 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
15.734 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K
15.734 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K
15.734 * [taylor]: Taking taylor expansion of 1 in K
15.734 * [backup-simplify]: Simplify 1 into 1
15.734 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
15.734 * [taylor]: Taking taylor expansion of 1/4 in K
15.734 * [backup-simplify]: Simplify 1/4 into 1/4
15.734 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
15.734 * [taylor]: Taking taylor expansion of (pow J 2) in K
15.734 * [taylor]: Taking taylor expansion of J in K
15.734 * [backup-simplify]: Simplify J into J
15.734 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
15.734 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
15.734 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
15.734 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
15.734 * [taylor]: Taking taylor expansion of -1/2 in K
15.735 * [backup-simplify]: Simplify -1/2 into -1/2
15.735 * [taylor]: Taking taylor expansion of K in K
15.735 * [backup-simplify]: Simplify 0 into 0
15.735 * [backup-simplify]: Simplify 1 into 1
15.735 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
15.735 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
15.735 * [taylor]: Taking taylor expansion of (pow U 2) in K
15.735 * [taylor]: Taking taylor expansion of U in K
15.735 * [backup-simplify]: Simplify U into U
15.735 * [backup-simplify]: Simplify (* J J) into (pow J 2)
15.735 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
15.736 * [backup-simplify]: Simplify (* U U) into (pow U 2)
15.736 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
15.736 * [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)))
15.736 * [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))))
15.737 * [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)))))
15.737 * [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))))))
15.737 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
15.737 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
15.738 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
15.738 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
15.738 * [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
15.739 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
15.740 * [backup-simplify]: Simplify (+ 0 0) into 0
15.740 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0
15.740 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
15.740 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
15.740 * [taylor]: Taking taylor expansion of 1 in U
15.740 * [backup-simplify]: Simplify 1 into 1
15.740 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
15.740 * [taylor]: Taking taylor expansion of 1/4 in U
15.740 * [backup-simplify]: Simplify 1/4 into 1/4
15.740 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
15.740 * [taylor]: Taking taylor expansion of (pow J 2) in U
15.740 * [taylor]: Taking taylor expansion of J in U
15.740 * [backup-simplify]: Simplify J into J
15.740 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
15.740 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
15.740 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
15.740 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
15.740 * [taylor]: Taking taylor expansion of -1/2 in U
15.740 * [backup-simplify]: Simplify -1/2 into -1/2
15.740 * [taylor]: Taking taylor expansion of K in U
15.741 * [backup-simplify]: Simplify K into K
15.741 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
15.741 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
15.741 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
15.741 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
15.741 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
15.741 * [backup-simplify]: Simplify (- 0) into 0
15.741 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
15.741 * [taylor]: Taking taylor expansion of (pow U 2) in U
15.741 * [taylor]: Taking taylor expansion of U in U
15.741 * [backup-simplify]: Simplify 0 into 0
15.741 * [backup-simplify]: Simplify 1 into 1
15.742 * [backup-simplify]: Simplify (* J J) into (pow J 2)
15.742 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
15.742 * [backup-simplify]: Simplify (* 1 1) into 1
15.742 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
15.742 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
15.742 * [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)))
15.743 * [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)))
15.743 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
15.743 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
15.744 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.744 * [backup-simplify]: Simplify (+ 0) into 0
15.745 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
15.745 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
15.746 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.746 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
15.746 * [backup-simplify]: Simplify (- 0) into 0
15.747 * [backup-simplify]: Simplify (+ 0 0) into 0
15.747 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
15.748 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
15.748 * [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
15.749 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
15.749 * [backup-simplify]: Simplify (+ 0 0) into 0
15.749 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
15.749 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
15.749 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
15.749 * [taylor]: Taking taylor expansion of 1 in U
15.749 * [backup-simplify]: Simplify 1 into 1
15.749 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
15.749 * [taylor]: Taking taylor expansion of 1/4 in U
15.749 * [backup-simplify]: Simplify 1/4 into 1/4
15.749 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
15.750 * [taylor]: Taking taylor expansion of (pow J 2) in U
15.750 * [taylor]: Taking taylor expansion of J in U
15.750 * [backup-simplify]: Simplify J into J
15.750 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
15.750 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
15.750 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
15.750 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
15.750 * [taylor]: Taking taylor expansion of -1/2 in U
15.750 * [backup-simplify]: Simplify -1/2 into -1/2
15.750 * [taylor]: Taking taylor expansion of K in U
15.750 * [backup-simplify]: Simplify K into K
15.750 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
15.750 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
15.750 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
15.750 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
15.750 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
15.751 * [backup-simplify]: Simplify (- 0) into 0
15.751 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
15.751 * [taylor]: Taking taylor expansion of (pow U 2) in U
15.751 * [taylor]: Taking taylor expansion of U in U
15.751 * [backup-simplify]: Simplify 0 into 0
15.751 * [backup-simplify]: Simplify 1 into 1
15.751 * [backup-simplify]: Simplify (* J J) into (pow J 2)
15.751 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
15.751 * [backup-simplify]: Simplify (* 1 1) into 1
15.752 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
15.752 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
15.752 * [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)))
15.752 * [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)))
15.752 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
15.753 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
15.753 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.754 * [backup-simplify]: Simplify (+ 0) into 0
15.754 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
15.754 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
15.755 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.756 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
15.756 * [backup-simplify]: Simplify (- 0) into 0
15.756 * [backup-simplify]: Simplify (+ 0 0) into 0
15.756 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
15.757 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
15.758 * [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
15.758 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
15.759 * [backup-simplify]: Simplify (+ 0 0) into 0
15.759 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
15.759 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in K
15.759 * [taylor]: Taking taylor expansion of 1/2 in K
15.759 * [backup-simplify]: Simplify 1/2 into 1/2
15.759 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in K
15.759 * [taylor]: Taking taylor expansion of J in K
15.759 * [backup-simplify]: Simplify J into J
15.759 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
15.759 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
15.759 * [taylor]: Taking taylor expansion of -1/2 in K
15.759 * [backup-simplify]: Simplify -1/2 into -1/2
15.759 * [taylor]: Taking taylor expansion of K in K
15.759 * [backup-simplify]: Simplify 0 into 0
15.759 * [backup-simplify]: Simplify 1 into 1
15.760 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
15.760 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
15.760 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K)))
15.760 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
15.760 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J
15.760 * [taylor]: Taking taylor expansion of 1/2 in J
15.760 * [backup-simplify]: Simplify 1/2 into 1/2
15.760 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J
15.760 * [taylor]: Taking taylor expansion of J in J
15.760 * [backup-simplify]: Simplify 0 into 0
15.760 * [backup-simplify]: Simplify 1 into 1
15.760 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
15.761 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
15.761 * [taylor]: Taking taylor expansion of -1/2 in J
15.761 * [backup-simplify]: Simplify -1/2 into -1/2
15.761 * [taylor]: Taking taylor expansion of K in J
15.761 * [backup-simplify]: Simplify K into K
15.761 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
15.761 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
15.761 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
15.761 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
15.761 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
15.761 * [backup-simplify]: Simplify (- 0) into 0
15.762 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
15.762 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K)))
15.762 * [taylor]: Taking taylor expansion of 0 in K
15.762 * [backup-simplify]: Simplify 0 into 0
15.762 * [taylor]: Taking taylor expansion of 0 in J
15.762 * [backup-simplify]: Simplify 0 into 0
15.762 * [backup-simplify]: Simplify 0 into 0
15.762 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
15.763 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0
15.763 * [taylor]: Taking taylor expansion of 0 in J
15.763 * [backup-simplify]: Simplify 0 into 0
15.763 * [backup-simplify]: Simplify 0 into 0
15.763 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K)))
15.763 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
15.764 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
15.765 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
15.765 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.766 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
15.766 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
15.767 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.768 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
15.768 * [backup-simplify]: Simplify (- 0) into 0
15.769 * [backup-simplify]: Simplify (+ 0 0) into 0
15.769 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
15.770 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
15.771 * [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
15.772 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0
15.772 * [backup-simplify]: Simplify (+ 1 0) into 1
15.773 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J)
15.774 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K
15.774 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
15.774 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
15.774 * [taylor]: Taking taylor expansion of -1/2 in K
15.774 * [backup-simplify]: Simplify -1/2 into -1/2
15.774 * [taylor]: Taking taylor expansion of K in K
15.774 * [backup-simplify]: Simplify 0 into 0
15.774 * [backup-simplify]: Simplify 1 into 1
15.774 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
15.774 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
15.774 * [taylor]: Taking taylor expansion of J in K
15.774 * [backup-simplify]: Simplify J into J
15.775 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
15.775 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
15.775 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
15.775 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
15.775 * [taylor]: Taking taylor expansion of -1/2 in J
15.775 * [backup-simplify]: Simplify -1/2 into -1/2
15.775 * [taylor]: Taking taylor expansion of K in J
15.775 * [backup-simplify]: Simplify K into K
15.775 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
15.775 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
15.775 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
15.775 * [taylor]: Taking taylor expansion of J in J
15.775 * [backup-simplify]: Simplify 0 into 0
15.775 * [backup-simplify]: Simplify 1 into 1
15.775 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
15.775 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
15.776 * [backup-simplify]: Simplify (- 0) into 0
15.776 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
15.776 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
15.776 * [backup-simplify]: Simplify (+ 0) into 0
15.777 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
15.777 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
15.778 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.778 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
15.779 * [backup-simplify]: Simplify (- 0) into 0
15.779 * [backup-simplify]: Simplify (+ 0 0) into 0
15.780 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0
15.780 * [backup-simplify]: Simplify 0 into 0
15.780 * [taylor]: Taking taylor expansion of 0 in J
15.780 * [backup-simplify]: Simplify 0 into 0
15.780 * [backup-simplify]: Simplify 0 into 0
15.781 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0
15.782 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0
15.782 * [taylor]: Taking taylor expansion of 0 in J
15.782 * [backup-simplify]: Simplify 0 into 0
15.782 * [backup-simplify]: Simplify 0 into 0
15.782 * [backup-simplify]: Simplify 0 into 0
15.782 * [backup-simplify]: Simplify 0 into 0
15.783 * [backup-simplify]: Simplify (+ 0) into 0
15.783 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
15.783 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
15.784 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.785 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
15.785 * [backup-simplify]: Simplify (- 0) into 0
15.785 * [backup-simplify]: Simplify (+ 0 0) into 0
15.786 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
15.786 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0
15.786 * [backup-simplify]: Simplify 0 into 0
15.786 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (- J)) (* 1 (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
15.786 * * * [progress]: simplifying candidates
15.787 * * * * [progress]: [ 1 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (* (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))))))) (cbrt (* (* (* J (* -2 (cos (/ K 2)))) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt (pow (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1) 1/2))))))>
15.787 * * * * [progress]: [ 2 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (* (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))))))) (cbrt (* (* (* J (* -2 (cos (/ K 2)))) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt (pow (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) 1))))))>
15.787 * * * * [progress]: [ 3 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (* (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))))))) (cbrt (* (* (* J (* -2 (cos (/ K 2)))) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt (exp (log (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))))))))>
15.787 * * * * [progress]: [ 4 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (* (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))))))) (cbrt (* (* (* J (* -2 (cos (/ K 2)))) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt (log (exp (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))))))))>
15.787 * * * * [progress]: [ 5 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (* (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))))))) (cbrt (* (* (* J (* -2 (cos (/ K 2)))) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt (* (* (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)))))))))>
15.787 * * * * [progress]: [ 6 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (* (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))))))) (cbrt (* (* (* J (* -2 (cos (/ K 2)))) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt (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))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))))))))>
15.787 * * * * [progress]: [ 7 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (* (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))))))) (cbrt (* (* (* J (* -2 (cos (/ K 2)))) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt (* (sqrt (* (cbrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) (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)))))))))>
15.787 * * * * [progress]: [ 8 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (* (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))))))) (cbrt (* (* (* J (* -2 (cos (/ K 2)))) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt (* (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)))))))))>
15.787 * * * * [progress]: [ 9 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (* (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))))))) (cbrt (* (* (* J (* -2 (cos (/ K 2)))) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt (* (sqrt 1) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))))>
15.788 * * * * [progress]: [ 10 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (* (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))))))) (cbrt (* (* (* J (* -2 (cos (/ K 2)))) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt (/ (sqrt (+ (pow (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 3) (pow 1 3))) (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 1) (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))))))>
15.788 * * * * [progress]: [ 11 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (* (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))))))) (cbrt (* (* (* J (* -2 (cos (/ K 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)))) (* (/ 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))))))))>
15.788 * * * * [progress]: [ 12 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (* (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))))))) (cbrt (* (* (* J (* -2 (cos (/ K 2)))) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt (pow (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1) (/ 1 2)))))))>
15.788 * * * * [progress]: [ 13 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (* (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))))))) (cbrt (* (* (* J (* -2 (cos (/ K 2)))) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt (* (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)))))))))>
15.788 * * * * [progress]: [ 14 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (* (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))))))) (cbrt (* (* (* J (* -2 (cos (/ K 2)))) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt (fabs (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))))>
15.788 * * * * [progress]: [ 15 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (* (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))))))) (cbrt (* (* (* J (* -2 (cos (/ K 2)))) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt (* 1 (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))))>
15.788 * * * * [progress]: [ 16 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (* (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))))))) (cbrt (* (* (* J (* -2 (cos (/ K 2)))) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt (posit16->real (real->posit16 (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))))))))>
15.788 * * * * [progress]: [ 17 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (* (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))))))) (cbrt (* (* (* J (* -2 (cos (/ K 2)))) (sqrt (pow (+ (* (/ 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)))))))>
15.789 * * * * [progress]: [ 18 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (* (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))))))) (cbrt (* (* (* J (* -2 (cos (/ K 2)))) (sqrt (pow (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) 1))) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))))))>
15.789 * * * * [progress]: [ 19 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (* (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))))))) (cbrt (* (* (* J (* -2 (cos (/ K 2)))) (sqrt (exp (log (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)))))))>
15.789 * * * * [progress]: [ 20 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (* (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))))))) (cbrt (* (* (* J (* -2 (cos (/ K 2)))) (sqrt (log (exp (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)))))))>
15.789 * * * * [progress]: [ 21 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (* (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))))))) (cbrt (* (* (* J (* -2 (cos (/ K 2)))) (sqrt (* (* (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 (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))))))>
15.789 * * * * [progress]: [ 22 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (* (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))))))) (cbrt (* (* (* J (* -2 (cos (/ K 2)))) (sqrt (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))) (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)))))))>
15.789 * * * * [progress]: [ 23 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (* (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))))))) (cbrt (* (* (* J (* -2 (cos (/ K 2)))) (sqrt (* (sqrt (* (cbrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) (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)))))))>
15.789 * * * * [progress]: [ 24 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (* (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))))))) (cbrt (* (* (* J (* -2 (cos (/ K 2)))) (sqrt (* (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)))))) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))))))>
15.789 * * * * [progress]: [ 25 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (* (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))))))) (cbrt (* (* (* J (* -2 (cos (/ K 2)))) (sqrt (* (sqrt 1) (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)))))))>
15.789 * * * * [progress]: [ 26 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (* (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))))))) (cbrt (* (* (* J (* -2 (cos (/ K 2)))) (sqrt (/ (sqrt (+ (pow (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 3) (pow 1 3))) (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 1) (* (* (/ 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)))))))>
15.790 * * * * [progress]: [ 27 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (* (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))))))) (cbrt (* (* (* J (* -2 (cos (/ K 2)))) (sqrt (/ (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 1))) (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)))))))>
15.790 * * * * [progress]: [ 28 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (* (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))))))) (cbrt (* (* (* J (* -2 (cos (/ K 2)))) (sqrt (pow (+ (* (/ 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)))))))>
15.790 * * * * [progress]: [ 29 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (* (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))))))) (cbrt (* (* (* J (* -2 (cos (/ K 2)))) (sqrt (* (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)))))) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))))))>
15.790 * * * * [progress]: [ 30 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (* (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))))))) (cbrt (* (* (* J (* -2 (cos (/ K 2)))) (sqrt (fabs (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)))))))>
15.790 * * * * [progress]: [ 31 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (* (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))))))) (cbrt (* (* (* J (* -2 (cos (/ K 2)))) (sqrt (* 1 (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)))))))>
15.790 * * * * [progress]: [ 32 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (* (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))))))) (cbrt (* (* (* J (* -2 (cos (/ K 2)))) (sqrt (posit16->real (real->posit16 (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)))))))>
15.790 * * * * [progress]: [ 33 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (* (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 (pow (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1) 1/2)))))) (cbrt (* (* (* J (* -2 (cos (/ K 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)))))))>
15.790 * * * * [progress]: [ 34 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (* (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 (pow (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) 1)))))) (cbrt (* (* (* J (* -2 (cos (/ K 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)))))))>
15.790 * * * * [progress]: [ 35 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (* (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 (exp (log (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))))) (cbrt (* (* (* J (* -2 (cos (/ K 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)))))))>
15.791 * * * * [progress]: [ 36 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (* (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 (log (exp (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))))) (cbrt (* (* (* J (* -2 (cos (/ K 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)))))))>
15.791 * * * * [progress]: [ 37 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (* (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 (* (* (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))))))))) (cbrt (* (* (* J (* -2 (cos (/ K 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)))))))>
15.791 * * * * [progress]: [ 38 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (* (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 (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))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))))) (cbrt (* (* (* J (* -2 (cos (/ K 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)))))))>
15.791 * * * * [progress]: [ 39 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (* (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 (* (cbrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) (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))))))))) (cbrt (* (* (* J (* -2 (cos (/ K 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)))))))>
15.791 * * * * [progress]: [ 40 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (* (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 (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))))))))) (cbrt (* (* (* J (* -2 (cos (/ K 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)))))))>
15.791 * * * * [progress]: [ 41 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (* (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 1) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))))))) (cbrt (* (* (* J (* -2 (cos (/ K 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)))))))>
15.791 * * * * [progress]: [ 42 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (* (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 (+ (pow (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 3) (pow 1 3))) (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 1) (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))))))))) (cbrt (* (* (* J (* -2 (cos (/ K 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)))))))>
15.791 * * * * [progress]: [ 43 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (* (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)))) (* (/ 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)))))))) (cbrt (* (* (* J (* -2 (cos (/ K 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)))))))>
15.792 * * * * [progress]: [ 44 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (* (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 (pow (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1) (/ 1 2))))))) (cbrt (* (* (* J (* -2 (cos (/ K 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)))))))>
15.792 * * * * [progress]: [ 45 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (* (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 (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))))))))) (cbrt (* (* (* J (* -2 (cos (/ K 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)))))))>
15.792 * * * * [progress]: [ 46 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (* (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 (fabs (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))))))) (cbrt (* (* (* J (* -2 (cos (/ K 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)))))))>
15.792 * * * * [progress]: [ 47 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (* (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 (* 1 (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))))))) (cbrt (* (* (* J (* -2 (cos (/ K 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)))))))>
15.792 * * * * [progress]: [ 48 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (* (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 (posit16->real (real->posit16 (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))))) (cbrt (* (* (* J (* -2 (cos (/ K 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)))))))>
15.792 * * * * [progress]: [ 49 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (* (cbrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (cbrt (pow (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1) 1/2))) (cbrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))) (cbrt (* (* (* J (* -2 (cos (/ K 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)))))))>
15.792 * * * * [progress]: [ 50 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (* (cbrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (cbrt (pow (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) 1))) (cbrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))) (cbrt (* (* (* J (* -2 (cos (/ K 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)))))))>
15.792 * * * * [progress]: [ 51 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (* (cbrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (cbrt (exp (log (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 (* (* (* J (* -2 (cos (/ K 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)))))))>
15.792 * * * * [progress]: [ 52 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (* (cbrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (cbrt (log (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 (* (* (* J (* -2 (cos (/ K 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)))))))>
15.793 * * * * [progress]: [ 53 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (* (cbrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (cbrt (* (* (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)))))) (cbrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))) (cbrt (* (* (* J (* -2 (cos (/ K 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)))))))>
15.793 * * * * [progress]: [ 54 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (* (cbrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (cbrt (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))) (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 (* (* (* J (* -2 (cos (/ K 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)))))))>
15.793 * * * * [progress]: [ 55 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (* (cbrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (cbrt (* (sqrt (* (cbrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) (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)))))) (cbrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))) (cbrt (* (* (* J (* -2 (cos (/ K 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)))))))>
15.793 * * * * [progress]: [ 56 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (* (cbrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (cbrt (* (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)))))) (cbrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))) (cbrt (* (* (* J (* -2 (cos (/ K 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)))))))>
15.793 * * * * [progress]: [ 57 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (* (cbrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (cbrt (* (sqrt 1) (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 (* (* (* J (* -2 (cos (/ K 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)))))))>
15.793 * * * * [progress]: [ 58 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (* (cbrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (cbrt (/ (sqrt (+ (pow (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 3) (pow 1 3))) (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 1) (* (* (/ 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 (* (* (* J (* -2 (cos (/ K 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)))))))>
15.793 * * * * [progress]: [ 59 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (* (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)))) (* (/ 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))))) (cbrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))) (cbrt (* (* (* J (* -2 (cos (/ K 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)))))))>
15.793 * * * * [progress]: [ 60 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (* (cbrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (cbrt (pow (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1) (/ 1 2)))) (cbrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))) (cbrt (* (* (* J (* -2 (cos (/ K 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)))))))>
15.794 * * * * [progress]: [ 61 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (* (cbrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (cbrt (* (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)))))) (cbrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))) (cbrt (* (* (* J (* -2 (cos (/ K 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)))))))>
15.794 * * * * [progress]: [ 62 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (* (cbrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (cbrt (fabs (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 (* (* (* J (* -2 (cos (/ K 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)))))))>
15.794 * * * * [progress]: [ 63 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (* (cbrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (cbrt (* 1 (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 (* (* (* J (* -2 (cos (/ K 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)))))))>
15.794 * * * * [progress]: [ 64 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (* (cbrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (cbrt (posit16->real (real->posit16 (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 (* (* (* J (* -2 (cos (/ K 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)))))))>
15.794 * * * * [progress]: [ 65 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (* (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))))))) (cbrt (* (* (* J (* -2 (cos (/ K 2)))) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt 1)))))>
15.794 * * * * [progress]: [ 66 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (* (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))))))) (cbrt (* (* (* J (* -2 (cos (/ K 2)))) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt (* 1/2 (/ U (* (cos (* 1/2 K)) J))))))))>
15.794 * * * * [progress]: [ 67 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (* (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))))))) (cbrt (* (* (* J (* -2 (cos (/ K 2)))) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt (* 1/2 (/ U (* (cos (* 1/2 K)) J))))))))>
15.794 * * * * [progress]: [ 68 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (* (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))))))) (cbrt (* (* (* J (* -2 (cos (/ K 2)))) (sqrt 1)) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))))))>
15.794 * * * * [progress]: [ 69 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (* (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))))))) (cbrt (* (* (* J (* -2 (cos (/ K 2)))) (sqrt (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))))))>
15.794 * * * * [progress]: [ 70 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (* (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))))))) (cbrt (* (* (* J (* -2 (cos (/ K 2)))) (sqrt (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))))))>
15.795 * * * * [progress]: [ 71 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (* (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 1))))) (cbrt (* (* (* J (* -2 (cos (/ K 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)))))))>
15.795 * * * * [progress]: [ 72 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (* (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 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))))) (cbrt (* (* (* J (* -2 (cos (/ K 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)))))))>
15.795 * * * * [progress]: [ 73 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (* (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 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))))) (cbrt (* (* (* J (* -2 (cos (/ K 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)))))))>
15.795 * * * * [progress]: [ 74 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (* (cbrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (cbrt 1)) (cbrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))) (cbrt (* (* (* J (* -2 (cos (/ K 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)))))))>
15.795 * * * * [progress]: [ 75 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (* (cbrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (cbrt (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) (cbrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))) (cbrt (* (* (* J (* -2 (cos (/ K 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)))))))>
15.795 * * * * [progress]: [ 76 / 76 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (* (cbrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (cbrt (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) (cbrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))) (cbrt (* (* (* J (* -2 (cos (/ K 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)))))))>
15.797 * [simplify]: Simplifying:
  (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)) (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)))
  (sqrt (* (cbrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) (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)))
  (sqrt 1)
  (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))
  (sqrt (+ (pow (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 3) (pow 1 3)))
  (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 1) (* (* (/ 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 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)) (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)))
  (sqrt (* (cbrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) (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)))
  (sqrt 1)
  (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))
  (sqrt (+ (pow (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 3) (pow 1 3)))
  (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 1) (* (* (/ 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 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)) (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)))
  (sqrt (* (cbrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) (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)))
  (sqrt 1)
  (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))
  (sqrt (+ (pow (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 3) (pow 1 3)))
  (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 1) (* (* (/ 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 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)) (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)))
  (sqrt (* (cbrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) (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)))
  (sqrt 1)
  (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))
  (sqrt (+ (pow (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 3) (pow 1 3)))
  (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 1) (* (* (/ 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 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 (/ 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)))
15.800 * * [simplify]: iteration 0: 48 enodes
15.812 * * [simplify]: iteration 1: 95 enodes
15.834 * * [simplify]: iteration 2: 261 enodes
15.965 * * [simplify]: iteration 3: 1148 enodes
16.338 * * [simplify]: iteration 4: 2067 enodes
17.008 * * [simplify]: iteration complete: 2067 enodes
17.008 * * [simplify]: Extracting #0: cost 17 inf + 0
17.009 * * [simplify]: Extracting #1: cost 66 inf + 2
17.009 * * [simplify]: Extracting #2: cost 130 inf + 358
17.010 * * [simplify]: Extracting #3: cost 348 inf + 1572
17.013 * * [simplify]: Extracting #4: cost 693 inf + 7826
17.035 * * [simplify]: Extracting #5: cost 419 inf + 123873
17.102 * * [simplify]: Extracting #6: cost 41 inf + 239115
17.156 * * [simplify]: Extracting #7: cost 3 inf + 251366
17.202 * * [simplify]: Extracting #8: cost 0 inf + 252822
17.266 * [simplify]: Simplified to:
  (log (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1)))
  (exp (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1)))
  (* (cbrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1))) (cbrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1))))
  (cbrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1)))
  (* (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1)) (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1))
  (fabs (cbrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1)))
  (sqrt (cbrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1)))
  (sqrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1)))
  (sqrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1)))
  1
  (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1))
  (sqrt (+ (* (* (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) (* (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K))))) 1))
  (sqrt (+ (* (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K))))) (- 1 (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))))))
  (sqrt (+ (* (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K))))) -1))
  (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) -1))
  1/2
  (sqrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1)))
  (sqrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1)))
  (real->posit16 (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1)))
  (log (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1)))
  (exp (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1)))
  (* (cbrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1))) (cbrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1))))
  (cbrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1)))
  (* (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1)) (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1))
  (fabs (cbrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1)))
  (sqrt (cbrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1)))
  (sqrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1)))
  (sqrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1)))
  1
  (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1))
  (sqrt (+ (* (* (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) (* (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K))))) 1))
  (sqrt (+ (* (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K))))) (- 1 (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))))))
  (sqrt (+ (* (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K))))) -1))
  (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) -1))
  1/2
  (sqrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1)))
  (sqrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1)))
  (real->posit16 (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1)))
  (log (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1)))
  (exp (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1)))
  (* (cbrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1))) (cbrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1))))
  (cbrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1)))
  (* (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1)) (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1))
  (fabs (cbrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1)))
  (sqrt (cbrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1)))
  (sqrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1)))
  (sqrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1)))
  1
  (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1))
  (sqrt (+ (* (* (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) (* (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K))))) 1))
  (sqrt (+ (* (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K))))) (- 1 (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))))))
  (sqrt (+ (* (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K))))) -1))
  (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) -1))
  1/2
  (sqrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1)))
  (sqrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1)))
  (real->posit16 (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1)))
  (log (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1)))
  (exp (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1)))
  (* (cbrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1))) (cbrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1))))
  (cbrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1)))
  (* (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1)) (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1))
  (fabs (cbrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1)))
  (sqrt (cbrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1)))
  (sqrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1)))
  (sqrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1)))
  1
  (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1))
  (sqrt (+ (* (* (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) (* (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K))))) 1))
  (sqrt (+ (* (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K))))) (- 1 (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))))))
  (sqrt (+ (* (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K))))) -1))
  (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) -1))
  1/2
  (sqrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1)))
  (sqrt (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1)))
  (real->posit16 (sqrt (+ (* (/ (* 1/2 (/ U J)) (cos (* 1/2 K))) (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))) 1)))
  1
  (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))
  (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))
  1
  (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))
  (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))
  1
  (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))
  (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))
  1
  (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))
  (/ (* 1/2 (/ U J)) (cos (* 1/2 K)))
17.319 * * * [progress]: adding candidates to table
19.258 * [progress]: [Phase 3 of 3] Extracting.
19.259 * * [regime]: Finding splitpoints for: (#<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))> #<alt (λ (J K U) (* (sqrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))> #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (posit16->real (real->posit16 (* (cos (/ K 2)) (* 2 J)))))) 1))))> #<alt (λ (J K U) (/ (* (* (sqrt (+ (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (/ U (* (* (cos (/ K 2)) J) 2))) (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (/ U (* (* (cos (/ K 2)) J) 2)))) 1)) (* J -2)) (cos (/ K 2))) (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 1) (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))> #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* (* J (* -2 (cos (/ K 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)))))))> #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (* (cbrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (cbrt (exp (log (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 (* (* (* J (* -2 (cos (/ K 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)))))))> #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))))> #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))> #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (* (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))))))) (cbrt (* (* (* J (* -2 (cos (/ K 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)))))))>)
19.268 * * * [regime-changes]: Trying 5 branch expressions: ((/ K 2) (cos (/ K 2)) U K J)
19.268 * * * * [regimes]: Trying to branch on (/ K 2) from (#<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))> #<alt (λ (J K U) (* (sqrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))> #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (posit16->real (real->posit16 (* (cos (/ K 2)) (* 2 J)))))) 1))))> #<alt (λ (J K U) (/ (* (* (sqrt (+ (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (/ U (* (* (cos (/ K 2)) J) 2))) (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (/ U (* (* (cos (/ K 2)) J) 2)))) 1)) (* J -2)) (cos (/ K 2))) (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 1) (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))> #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* (* J (* -2 (cos (/ K 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)))))))> #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (* (cbrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (cbrt (exp (log (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 (* (* (* J (* -2 (cos (/ K 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)))))))> #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))))> #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))> #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (* (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))))))) (cbrt (* (* (* J (* -2 (cos (/ K 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)))))))>)
19.370 * * * * [regimes]: Trying to branch on (cos (/ K 2)) from (#<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))> #<alt (λ (J K U) (* (sqrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))> #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (posit16->real (real->posit16 (* (cos (/ K 2)) (* 2 J)))))) 1))))> #<alt (λ (J K U) (/ (* (* (sqrt (+ (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (/ U (* (* (cos (/ K 2)) J) 2))) (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (/ U (* (* (cos (/ K 2)) J) 2)))) 1)) (* J -2)) (cos (/ K 2))) (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 1) (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))> #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* (* J (* -2 (cos (/ K 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)))))))> #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (* (cbrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (cbrt (exp (log (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 (* (* (* J (* -2 (cos (/ K 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)))))))> #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))))> #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))> #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (* (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))))))) (cbrt (* (* (* J (* -2 (cos (/ K 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)))))))>)
19.472 * * * * [regimes]: Trying to branch on U from (#<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))> #<alt (λ (J K U) (* (sqrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))> #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (posit16->real (real->posit16 (* (cos (/ K 2)) (* 2 J)))))) 1))))> #<alt (λ (J K U) (/ (* (* (sqrt (+ (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (/ U (* (* (cos (/ K 2)) J) 2))) (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (/ U (* (* (cos (/ K 2)) J) 2)))) 1)) (* J -2)) (cos (/ K 2))) (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 1) (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))> #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* (* J (* -2 (cos (/ K 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)))))))> #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (* (cbrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (cbrt (exp (log (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 (* (* (* J (* -2 (cos (/ K 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)))))))> #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))))> #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))> #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (* (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))))))) (cbrt (* (* (* J (* -2 (cos (/ K 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)))))))>)
19.568 * * * * [regimes]: Trying to branch on K from (#<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))> #<alt (λ (J K U) (* (sqrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))> #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (posit16->real (real->posit16 (* (cos (/ K 2)) (* 2 J)))))) 1))))> #<alt (λ (J K U) (/ (* (* (sqrt (+ (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (/ U (* (* (cos (/ K 2)) J) 2))) (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (/ U (* (* (cos (/ K 2)) J) 2)))) 1)) (* J -2)) (cos (/ K 2))) (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 1) (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))> #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* (* J (* -2 (cos (/ K 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)))))))> #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (* (cbrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (cbrt (exp (log (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 (* (* (* J (* -2 (cos (/ K 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)))))))> #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))))> #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))> #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (* (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))))))) (cbrt (* (* (* J (* -2 (cos (/ K 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)))))))>)
19.655 * * * * [regimes]: Trying to branch on J from (#<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))> #<alt (λ (J K U) (* (sqrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))> #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (posit16->real (real->posit16 (* (cos (/ K 2)) (* 2 J)))))) 1))))> #<alt (λ (J K U) (/ (* (* (sqrt (+ (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (/ U (* (* (cos (/ K 2)) J) 2))) (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (/ U (* (* (cos (/ K 2)) J) 2)))) 1)) (* J -2)) (cos (/ K 2))) (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 1) (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))> #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* (* J (* -2 (cos (/ K 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)))))))> #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (* (cbrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (cbrt (exp (log (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 (* (* (* J (* -2 (cos (/ K 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)))))))> #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))))> #<alt (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))> #<alt (λ (J K U) (* (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (* (* (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))))))) (cbrt (* (* (* J (* -2 (cos (/ K 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)))))))>)
19.750 * * * [regime]: Found split indices: #<option (#s(si 0 255))>
19.750 * [simplify]: Simplifying:
  (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))
19.750 * * [simplify]: iteration 0: 17 enodes
19.751 * * [simplify]: iteration 1: 25 enodes
19.752 * * [simplify]: iteration complete: 25 enodes
19.752 * * [simplify]: Extracting #0: cost 1 inf + 0
19.752 * * [simplify]: Extracting #1: cost 3 inf + 0
19.752 * * [simplify]: Extracting #2: cost 6 inf + 0
19.752 * * [simplify]: Extracting #3: cost 9 inf + 1
19.752 * * [simplify]: Extracting #4: cost 9 inf + 3
19.752 * * [simplify]: Extracting #5: cost 13 inf + 3
19.752 * * [simplify]: Extracting #6: cost 11 inf + 6
19.752 * * [simplify]: Extracting #7: cost 8 inf + 192
19.753 * * [simplify]: Extracting #8: cost 4 inf + 926
19.753 * * [simplify]: Extracting #9: cost 1 inf + 1840
19.753 * * [simplify]: Extracting #10: cost 0 inf + 2306
19.754 * [simplify]: Simplified to:
  (* (sqrt (+ (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) 1)) (* J (* (cos (/ K 2)) -2)))
27.351 * [regime-testing]: Baseline error score: 17.168084586572817
27.356 * [regime-testing]: Oracle error score: 12.394072968230835
27.364 * [regime-testing]: End program error score: 17.168084586572817